Session 6 — Recover crashed run; plan all-forks execution

{
  "command": "cd \"D:/Python/Quantum\" && ./.venv/Scripts/python.exe research/numerics/scripts/db.py log-experiment E-010 --name \"Zeros of Suzuki W(a,theta;z) via Galerkin deficiency vectors; EXTENDED sweep (a<=8, lambda=-1 added, h_conv to 2.5e-3)\" --script research/numerics/scripts/E-010-suzuki-W-function.py --params '{\"a_sweep\":[0.5,1.0,2.0,4.0,6.0,8.0],\"h_sweep\":0.005,\"h_conv\":[0.01,0.005,0.0025],\"lambdas\":[-0.5,-1.0,-2.0],\"z_max\":20}' --dps 50 --csv research/numerics/data/E-010-suzuki-W-zeros.csv --json research/numerics/data/E-010-suzuki-W-zeros.json --session 4",
  "description": "Re-register extended E-010 run in research.db"
}

{
  "command": "cd \"D:/Python/Quantum\" && git add -u && git add research/paper && git status --short",
  "description": "Stage housekeeping and E-010 changes, excluding E-011"
}

{
  "todos": [
    {
      "content": "Verify E-010 extended re-run data validity + re-register in db",
      "status": "completed",
      "activeForm": "Verifying E-010 re-run data"
    },
    {
      "content": "Commit housekeeping (papers, Notes.txt) + E-010 extension",
      "status": "completed",
      "activeForm": "Committing housekeeping and E-010"
    },
    {
      "content": "Debug E-011 precision plumbing (53-bit signature at digit ~14)",
      "status": "in_progress",
      "activeForm": "Debugging E-011 precision plumbing"
    },
    {
      "content": "Re-run E-011 and resolve checks (or document obstruction)",
      "status": "pending",
      "activeForm": "Re-running E-011"
    },
    {
      "content": "Session-end protocol: journal, db, checklist, commit",
      "status": "pending",
      "activeForm": "Running session-end protocol"
    }
  ]
}

{
  "oldTodos": [
    "content='Verify E-010 extended re-run data validity + re-register in db' status='completed' active_form='Verifying E-010 re-run data'",
    "content='Commit housekeeping (papers, Notes.txt) + E-010 extension' status='in_progress' active_form='Committing housekeeping and E-010'",
    "content='Debug E-011 precision plumbing (53-bit signature at digit ~14)' status='pending' active_form='Debugging E-011 precision plumbing'",
    "content='Re-run E-011 and resolve checks (or document obstruction)' status='pending' active_form='Re-running E-011'",
    "content='Session-end protocol: journal, db, checklist, commit' status='pending' active_form='Running session-end protocol'"
  ],
  "newTodos": [
    "content='Verify E-010 extended re-run data validity + re-register in db' status='completed' active_form='Verifying E-010 re-run data'",
    "content='Commit housekeeping (papers, Notes.txt) + E-010 extension' status='completed' active_form='Committing housekeeping and E-010'",
    "content='Debug E-011 precision plumbing (53-bit signature at digit ~14)' status='in_progress' active_form='Debugging E-011 precision plumbing'",
    "content='Re-run E-011 and resolve checks (or document obstruction)' status='pending' active_form='Re-running E-011'",
    "content='Session-end protocol: journal, db, checklist, commit' status='pending' active_form='Running session-end protocol'"
  ],
  "cleared": false
}

{
  "file_path": "D:\\Python\\Quantum\\research\\numerics\\scripts\\E-011-li-coefficients-arithmetic.py",
  "offset": 60
}

{
  "type": "text",
  "file": {
    "filePath": "D:\\Python\\Quantum\\NGUYEN.md",
    "content": "        (zeta halving 2^{\u2212(\u03c3\u22122)}\u00b7dirichletC2),\n        one_add_div_pow_norm_le_exp_four_ninths (kernel envelope\n        e^{(4/9)\u03c3} \u2014 single-exponential, no geometric series),\n        Jlag_dogleg_norm_le_envelope (dirichletC2\u00b7(4e^{\u2212c\u03c3}+4\u00b72^{\u2212\u03c3})),\n        integral_exp_neg_le (FTC machine), cdog_gt (c \u2265 0.2487),\n        exp_four_thirds_le (e^{4/3} \u2264 3.8073),\n        **hIntegral_Jlag_dogleg_norm_le \u2264 8.38** (charged with\n        dirichletC2 \u2264 1; tight R(1.5) = 5.94 = documented tightening\n        path). E-034 re-validated at Lean constants: ALL CHECKS PASS\n        (margins 13 160/88 911/2.458e26).\n      \u2192 DL-4 COMPLETE (session 040, LiDogLeg.lean +~160 lines, build\n        8773, audit clean): kFun_right_vertical_norm_le_exp_sqrt_half_add_one\n        (w = 2\u221an kernel variant, e^{\u221an/2}+1),\n        **vIntegral_Jlag_right_norm_le** \u2264 (U\u2212T)(e^{\u221an/2}+1)\n        2^{\u2212(2\u221an\u22122)}\u00b7dirichletC2 \u2014 exponentially tiny; VRightBound\n        charged IIMaj/2 (provable with dirichletC2 \u2264 1; IIMaj/4 =\n        tightening path).\n      \u2192 DL-5 COMPLETE (session 040, LiDogLeg.lean +~210 lines, build\n        8773, audit clean): **hIntegral_Jlag_low_le_dogLegUpper** +\n        **hIntegral_Jlag_low_neg_norm_le_dogLegUpper** (both \u2264\n        ((\u221an+1)/2)(e^{5/2}+1)/2 + 8.38 + IIMaj/2 for T \u2208 [\u221an, \u221an+1],\n        U = (3/2)T) + dogLegUpper_two_sides \u2014 the full dog-leg PROVED\n        in Lean, no perimeter, nothing above T_cut.\n      \u2192 DL-6 COMPLETE (session 040, LiDogLeg.lean +~350 lines, build\n        8773, audit clean): the direct Dirichlet bound at re = 2\u221an \u2014\n        **norm_logDeriv_zeta_le_iimZeta \u2264 0.57\u00b72^{\u2212(2\u221an\u22122)} (n \u2265 5),\n        NO dirichletC2 \u2264 0.57 needed** (log2-leading + 3^{\u2212(2\u221an\u22122)}\n        tail with dirichletC2 \u2264 1); **V_right \u2264 IIMaj/4 EXACTLY**;\n        DL-5 upgraded to the quarter charge (dogLegUpper = VLeft +\n        8.38 + IIMaj/4 per side \u27f9 1.5\u00b7IIMaj total in Bn, the\n        convexity-safe coefficient). E-034 re-validated at IIMaj/4:\n        ALL CHECKS PASS.\n      \u2192 ii\u2032-6-a2 COMPLETE (session 040): DogLegRight def + Bn\n        redefined (horizontal share 2(e\u2074+1)(7H\u0302) + 2\u00b7DogLegRight,\n        T = \u221an+1 UNCHANGED \u2014 N\u2081 = (T\u2080\u22121)\u00b2 \u2248 9\u00d710\u00b2\u2074 PRESERVED);\n        margin lockstep at coefficient level; 4/3-bracket strengthening\n        cherry-picked onto master (e11ad95); marginTilde_convex\n        re-proved (1.5\u00b7IIMaj, strict); base points re-certified\n        (Bn(8e4) \u2208 [273k, 332k], Bn(10\u2075) \u2264 352k \u27f9 margin(8e4) \u2265\n        4 001, hbase2 66 001 < 80 501); endpoints UNCHANGED; build\n        GREEN (8773 jobs); audit: 41 decls, 3 standard axioms, 0 sorryAx.\n      THEN THE ORIGINAL PLAN RESUMES (D-074 \u00a78 return map): ii\u2032-6-c\n      (four side bounds with the repaired horizontal) \u2192 ii\u2032-6-d (fold\n      \u27f9 sfBoundProp) \u2192 ii\u2032-7 (closure at the ORIGINAL N\u2081 \u2248 9\u00d710\u00b2\u2074).\n      Fallbacks: (a) c = 1.5 paused branch (N\u2081 = 4\u00d710\u00b2\u2074); (b) c = 2\n      (N\u2081 = 2.25\u00d710\u00b2\u2074); (c) T = \u221an hidden-cancellation open question\n      (D-073 \u00a78 D4).\n      \u2192 **ii\u2032-6-c STARTED (session 040 block B)**: FINDING F-E (D-074\n      \u00a79) \u2014 the I_I kernel charge e^{\u221an/2}+1 is off by one at\n      re w = 2\u221an near t = 0 (true value e^{\u221an/2+1/8}; latent in the\n      original D-036 charge); REPAIR ADOPTED: I_I charged honestly as\n      e^{1/3}\u00b7IIMaj (uniform kernel \u2264 e^{\u221an/2+1/3}+1, n \u2265 4), the\n      overrun absorbed by the fold's free dropped 2\u03c0 (e^{1/3} \u2264 1.4 \u2264\n      2\u03c0) \u2014 NO change to Bn/IIMaj/convexity/pinch/base points\n      (fatten-IIMaj rejected: iimaj_bracket_bound's 4.56 is linear).\n      **6-c-i COMPLETE (a8c5b1e)**: LiSideBounds.lean scaffolding\n      (Z2hat_mono, nearZerosSub_mult_sum_le, logDeriv continuity,\n      Jlag_norm_eq, both zero-freeness lemmas, rectangle side\n      decomposition, VIntegral/HIntegral machinery, even symmetry).\n      **ii\u2032-6-c..6-d COMPLETE (session 041)**: 6-c-ii I_III\n      (vIntegral_Jlag_left_norm_le, 6e5a98f), 6-c-iii I_I F-E form\n      (vIntegral_Jlag_right_le_exp_third_IIMaj, 9bd8ba9), 6-c-iv the\n      mid-horizontal segment machine (arcsinh-FTC from scratch \u2014\n      integral_one_div_sqrt_sq_add_sq + endpoints + per-zero \u2264\n      2\u00b7log(16.5/\u03b4) by pure log-mono, 1fed1df), 6-c-v the horizontal\n      assembly (mid + DL-5 tails both sides, 5d3dc0a), and **6-d THE\n      FOLD (774fec5): `sfBoundProp : SfBoundProp` PROVED** \u2014 |Sf n| \u2264\n      Bn FAlt n on [10\u2075, N\u2081] from EXACTLY the six declared perimeter\n      hypotheses (RHUpTo, ZeroCountProp, ZeroCountProp2,\n      ZeroCountGlobalProp, NoLowZeros, MZeroProp); the pinch NI + 5.5R\n      \u2264 7\u00b7H\u0302 discharged by a fully elementary log-mono chain (no\n      certified log numerics); the bridge cloned at T \u2264 3\u00b710\u00b9\u00b2 (the\n      range actually used \u2014 T \u2264 \u221an+1 holds exactly incl. n = N\u2081).\n      **ii\u2032-6 COMPLETE.**\n- [x] ii\u2032-7 Closure: theorem sfBoundProp : SfBoundProp; final\n      lambda_pos_finite_height_closed (3 perimeter hypotheses only);\n      full axiom audit; paper Appendix B + tag upgrade (D-062 \u00a74\n      endpoint); archive closure + D-037 line-63 erratum pointer.\n      \u2192 COMPLETE (session 041): **lambda_pos_finite_height_closed\n      PROVED** (a0943a6, LiClosed.lean) \u2014 \u03bb_n > 0 for ALL 1 \u2264 n \u2264\n      N\u2081 = (3\u00d710\u00b9\u00b2\u22121)\u00b2 from EXACTLY SEVEN declared hypotheses (the two\n      computational certificates + the five analytic perimeter Props);\n      full axiom audit (AuditSession041: 29 decls incl. the closed\n      chain \u2014 3 standard axioms only, 0 sorryAx); Paper A closure\n      (b64a839 + the session-042 review revision, compiles clean\n      11 pp \u2014 Appendix B rewritten: second tier COMPLETE + the\n      verbatim signature + the instantiation list + the dependency\n      chain; the B(n) display corrected + the F-A/F-B/F-E\n      correction-note footnote + the F-D dog-leg promoted to \u00a73.1;\n      abstract/intro to the seven-hypotheses headline; hedged novelty\n      (Oesterl\u00e9's unpublished precursor noted); AI Contribution\n      Statement factual refresh); archive closure (D-037 erratum\n      block + addendum, R-004 Lean-closure status, NGUYEN.md,\n      STATE.md, journals 041\u2013042). **SESSION-042 REVIEW REVISION\n      (user review)**: the finite-verification certificate\n      Misguich\u2013Voros (deformed sequence, private communication) was\n      RETRACTED and replaced by Johansson 2015 \u00a7 4.2 (rigorous\n      ordinary-\u03bb_n to 10\u2075); LiVerifiedUpTo reduced (5\u00b710\u2075) \u2192 (10\u2075)\n      (79c96f2, matches the checkable evidence \u2014 the assembly's\n      hfinite branch uses exactly n < 10\u2075).\n\n## 6. GRAVEYARD (documented dead ends \u2014 REQUIRED logging)\n| # | Attempt | Track | Obstruction found | Date |\n|---|---------|-------|-------------------|------|\n| G-001 | Multiple-zero bounds as chain constraint (Idea C) | A | s\u2082/p substitution symmetry (depth\u21920 pairs = doubles in all 2-moment data) | 2026-08-17 |\n| (A) | Zero-density input into chain (D-009 Idea A) | A | depth\u21920 off-line pairs invisible to N(\u03c3,T) bounds | 2026-08-17 |\n| G-002 | Moment-ladder certificates (tr G\u0303\u1d4f, k\u22653; oversampled grids) | A | RS availability \u03bb\u22642/k bites before usefulness; caps 0.607N (k=3, \u03bb=2/3) and 0.502N (k=4, \u03bb=1/2) both < 2/3; n\u208a q-invariant (E-005) | 2026-08-17 |\n| G-003 | Density certificates \u2192 de Bruijn\u2013Newman \u039b (task 3.3) | C | one-sided information: density theorems lower-bound the on-line fraction, \u039b needs an upper bound on the complex fraction; extremal vs averaged (E-012); asymptotic vs explicit | 2026-08-17 |\n| G-004 | \u03bb \u2192 \u03bb_a\u207b ground-state channel (task 2.13 follow-up) | B | disjoint feasibility windows: ground-state resolution needs a \u2272 1.3 (\u03bb_a superexponential), zero resolution needs a \u2273 4\u20136; discretization floor out-ranks \u03bb_a; D-046 sizing | 2026-08-19 |\n\n## 7. RESULT LEDGER\n| # | Claim | Status tag | Location |\n|---|-------|-----------|----------|\n| 0 | \u22652/3 simple on-line (inherited) | [PROVED] (R2) | Paper Thm A |\n| 1 | Galerkin realization of Suzuki's Weil-form operator A_a validated to 4.5e-6 against the zero-side explicit formula; Weil formula conventions machine-verified (Gaussian test, 9e-16) | [NUMERICAL-VALIDATED] | E-009a/b, D-019 \u00a71 |\n| 2 | \u03bb_a (bottom of Weil-form spectrum) positive at a = 0.25..5 with steep cliff (0.414 \u2192 \u22641.7e-12), consistent with Yoshida \u03bb_a>0 \u2200a \u27fa RH; independently matches Kim et al. superexponential decay report | [NUMERICAL] (upper bounds; conforming Galerkin) | E-009b, D-019 F1 |\n| 3 | Li coefficients \u03bb_n > 0 for all n \u2264 3000 computed from the arithmetic side (BL Thm 2, zero-free; flint Stieltjes + Arb \u03b6, dps 1000\u20131450), cross-validated vs E-008 zero side; \u03bb_1 to 102 digits; refined asymptotic ratio 1.00216 at n=2000, 0.999845 at n=3000 | [NUMERICAL-VALIDATED] | E-011, E-015, R-001 |\n| 4 | \u03be\u2032-certificate strength mechanism: perfect-square node in the diagonal law D\u2081 \u2248 s(1\u22122s)\u00b2 (prime-scale cancellation p ~ \u221a(T/2\u03c0)); Remark 7.1 constants reproduced to 5e-6; s\u2082/p symmetry does NOT break; gain not portable to \u03be | [NUMERICAL-VALIDATED] | E-013, R-002, D-022 |\n| 5 | Exact factorization W(a,\u03b8;z) = F\u00b7(R\u2080+R_\u03c4), F = z\u00b2\u03be/\u03be\u2032, with R\u2080 = 2e^{a+i\u03b8/2}sin(az\u2212\u03b8/2)+o(e\u1d43) closed form; Suzuki Cor 1.6 \u27fa (\u2605) tail-cancellation (Wiener\u2013Hopf remainder, RH-gated); W(a,\u03b8;0) = 0 double \u2200a,\u03b8; explains full E-010\u2013E-016 phenomenology | [PROVED (modulo std tempered-FT bookkeeping)] + [NUMERICAL-VALIDATED] (E-017: skeleton 3.7%\u21920.009%, off-axis cancellation 99.8%, \u03b8=\u03c0 preferred) | R-003, D-026, D-027, E-017 |\n| 6 | Explicit finite-height Li theorem: \u03bb_n > 0 for all n \u2264 N\u2081 = (T\u2080\u22121)\u00b2 \u2248 9.0\u00d710\u00b2\u2074 (T\u2080 = 3\u00d710\u00b9\u00b2 Platt\u2013Trudgian); conservative window N\u2081* = 2.73\u00d710\u00b2\u00b9; explicit assembled chain (S_\u221e elementary lower bound + traced contour constants + margin convexity + finite verification; statement-level precursor Oesterl\u00e9 2000 unpublished, published weaker window Lagarias 2007). **FULLY MACHINE-PROVED 2026-08-26 (tier ii\u2032 complete): `LiSideBounds.sfBoundProp` + `LiClosed.lambda_pos_finite_height_closed` from exactly 7 declared hypotheses (2 computational certificates + 5 analytic perimeter Props); axiom audit on the full chain: 3 standard axioms only, 0 sorryAx; B(n) corrected in 4 places during the closure (F-A/F-B/F-D/F-E, D-037 erratum block + Paper A \u00a73 Step-2 footnote), statement unchanged; finite-verification certificate corrected session 042 (Misguich\u2013Voros RETRACTED \u2014 deformed sequence \u2014 \u2192 Johansson 2015 \u00a7 4.2 rigorous ordinary \u03bb_n to 10\u2075; LiVerifiedUpTo (5\u00b710\u2075) \u2192 (10\u2075))** | [PROVED-CONDITIONAL(computational RH-to-T\u2080; finite verification)] \u2014 R-bound fully traced D-056 (A = 10.5, B\u2080 = 48, honest C\u2080; E-028 verified, 26\u00d7 slack); N\u2080 = 80 000; margin convexity PROVED D-057 (E-029) | R-004, D-037, D-056, D-057, E-023, E-028; Lean: LiSideBounds.sfBoundProp, LiClosed.lambda_pos_finite_height_closed |\n\n## 8. SESSION PROTOCOL & RESEARCH ARCHIVE (MANDATORY)\n\nMulti-stage project: computer is shut down between stages. NOTHING may live\nonly in conversation. The archive below is the single source of truth.\n\n### 8.1 Archive map\n```\nSTATE.md                    \u2b50 resume point \u2014 READ FIRST every session\nresearch/\n\u251c\u2500\u2500 journal/session-NNN.md  per-session narrative log\n\u251c\u2500\u2500 results/R-NNN-*.md      one file per result (+ index.md ledger)\n\u251c\u2500\u2500 graveyard/G-NNN-*.md    one file per dead end (+ index.md)\n\u251c\u2500\u2500 derivations/D-NNN-*.md  worked derivations (+ index.md)\n\u251c\u2500\u2500 numerics/scripts/       deterministic experiment scripts\n\u251c\u2500\u2500 numerics/data/          E-NNN-*.csv + E-NNN-*.json metadata sidecars\n\u251c\u2500\u2500 research.db             SQLite catalog (sessions, results, graveyard,\n\u2502                           derivations, experiments) \u2014 schema in\n\u2502                           numerics/scripts/schema.sql, CLI: db.py\n\u2514\u2500\u2500 paper/                  paperA.tex (Paper A, split 2026-08-20),\n                            paperB.tex (research-note skeleton),\n                            draft.tex (FROZEN pre-split combined copy),\n                            references.bib\n```\n\n### 8.2 Storage conventions\n- Results/derivations/graveyard: plain Markdown, honesty tag on every claim.\n- Numerics: DUAL storage \u2014 CSV+JSON sidecar (human/paper-readable) AND\n  SQLite registration (queryable), written together via db.py.\n- Data is cached; scripts never recompute unless --force.\n- Paper assembled only from tagged files in results/.\n\n### 8.3 Session START protocol\n1. Read STATE.md \u2192 resume point, next action, open threads, blockers.\n2. Skim latest journal entry + results/index.md.\n\n### 8.4 Session END protocol (before any shutdown \u2014 no exceptions)\n1. Write journal/session-NNN.md (work, decisions, outcomes).\n2. File every result/dead end/derivation in its own file; update index.md\n   files; register in research.db.\n3. Update NGUYEN.md checklist (\u00a75), Graveyard (\u00a76), Result Ledger (\u00a77).\n4. Update STATE.md LAST with an explicit \"NEXT ACTION:\" line.\n5. git add + commit with session number in the message.\nNOTE: save artifacts IMMEDIATELY when produced (crash-safe), not batched.\n\n### 8.4a FORK RULE (user directive, 2026-08-17)\nWhen the path FORKS (multiple candidate directions), do ALL of them \u2014\none by one \u2014 then pause to gather thoughts and evaluate the next step\ntogether. No path is dropped at a fork by choice alone; paths are only\nclosed by documented obstruction (Graveyard) or deprioritized by\nevidence after all forks are explored.\n\n### 8.5 PACING & SUB-STAGES (user directive, 2026-08-17)\n- NO RUSH. This is long-term research; correctness and rigor outrank speed.\n  Take whatever time a stage needs to be done right.\n- SUB-STAGE RULE: if a stage will take a few hours, break it into smaller\n  sub-stages, each ending in a clean, committed, resumable state (per \u00a78.4).\n  Record sub-stage breakdowns in STATE.md.\n- BREAK PROMPT: if work is running long \u2014 ESPECIALLY approaching 5:00 PM\n  local time \u2014 pause and ASK the user whether to continue, take a break,\n  or log off (run \u00a78.4 end protocol before stopping).\n\n### 8.6 SESSION LOG (summary; details in research/journal/)\n- Session 001 (2026-08-17): Blueprint + mission prompt ingested; research\n  archive installed (git + SQLite + LaTeX skeleton). \u2192 Begin Phase 0.\n- Session 002 (2026-08-17): Phase 0 + Phase 1 complete (Track A \u2192\n  monitoring mode, D-013); Track C begun (3.1 D-014, E-006\u2013E-008, 3.4a/b,\n  D-018 Suzuki scoping).\n- Session 003 (2026-08-17): Q-3.4c complete \u2014 E-009a (Suzuki g validated),\n  E-009b (Galerkin A_a, validated vs zero side 4.5e-6; \u03bb_a cliff),\n  D-019 (analysis; Q-S1 verdict; E-010 proposed). Weil explicit-formula\n  conventions machine-verified (D-001 NT-1).\n- Session 004 (2026-08-17): recovered killed session (E-011 orphaned\n  mid-edit); paper archive reorg; E-010 extended (a\u22648, \u03bb=\u22121); ALL 4 FORKS\n  COMPLETE \u2014 E-010 (fork 1, session 003); E-011/R-001 (fork 2: Li \u03bb_n > 0,\n  n \u2264 2000, arithmetic side); 3.3 answered NO (fork 3: D-021 \u2192 G-003,\n  E-012); T4 CLOSED (fork 4: D-022/R-002 \u2014 \u03be\u2032 strength = perfect-square\n  node in D\u2081, not portable to \u03be; T4b opened). Q-S3 attacked (D-023,\n  E-014): Cor 1.6 density wall mapped to a=10 (maximal lattice,\n  interlacing exact, no thinning \u2014 scale limitation, not a wall);\n  \u03b8=\u03c0 candidate found; Q-S3a/b/c queued. Detached-run machinery\n  established.\n- Session 005 (2026-08-18): user approved do-all-one-by-one plan\n  (A3\u2192A1\u2192A2\u2192C\u2192B, D in background). D launched: E-015 Li n\u22643000\n  detached (in progress at stop; sandbox blocks multiprocessing spawn \u2014\n  detached launches need sandbox disabled). A3 done: E-016 + D-024 \u2014\n  Herglotz \u03c1_W at \u03b8=\u03c0 vs \u03c1_F; V1/V2/V4 pass, V3 (zero-Poisson\n  reconstruction) fails rel ~0.3, root cause open; findings: \u03b8=\u03c0 zeros\n  real, z\u2081(\u03c0)\u00b7a\u22484.5 stiff law, no \u03b8=\u03c0 zero in (0,\u03c0/a), raw-L2 \u03b8=\u03c0\u2248\u03b8=0\n  (plateau-dominated metric). Stopped mid-V3-root-cause (user break;\n  3 network dropouts, no state loss).\n- Session 006 (2026-08-18): REGROUP (user-requested). Full archive audit:\n  all 16 experiments have CSV+JSON sidecars and db registrations; fixed\n  db hygiene (sessions 3\u20135 registered; row_counts corrected for E-010\u2013\n  E-016). Checklist revised: Phase 2 restructured \u2014 Suzuki/Cor 1.6 line\n  recognized as the live spectral program (2.1 partial, 2.4 active; new\n  tasks 2.6 V3-root-cause, 2.7 Q-S3a analytic, 2.8 Q-S3b backend);\n  3.4 checked off (answered YES); NEW tasks 3.5 (Li asymptotic attack \u2014\n  most direct criterion-#1 path), 1.6 (\u03be\u2032-world ceiling), 1.7 (T4b\n  scoping). Active order confirmed: 2.6 \u2192 2.7 \u2192 2.8 \u2192 1.6 \u2192 1.7, with\n  3.5 as standing high-value background thread.\n- Session 006 cont. (2026-08-18): task 2.6 COMPLETE \u2014 E-016 V3\n  root-caused (E-016b: winding-excess diagnostic finds double zero at\n  origin, \u00b1i\u03b5 pair; EM-tail factor-y bug found + confirmed quantitatively)\n  and REPAIRED (E-016c: V5 1.75e-16, V6 \u22644.4e-15, V3R 1.5\u20132.0e-5, ALL\n  CHECKS PASS); D-025 filed; E-016 F1\u2013F4 stand.\n- Session 006 cont.2 (2026-08-18): task 2.7 COMPLETE \u2014 **breakthrough\n  reduction**: W(a,\u03b8;z) = F\u00b7(R\u2080+R_\u03c4) EXACT (F = z\u00b2\u03be/\u03be\u2032, R\u2080 closed-form\n  sine skeleton); Cor 1.6 \u27fa (\u2605) tail-cancellation (Wiener\u2013Hopf remainder,\n  RH-gated). R-003 promoted to ledger (#5). E-017: off-axis cancellation\n  already 99.8% at a=4; \u03b8=\u03c0 preferred; open content isolated to \u211d.\n- Session 006 cont.3 (2026-08-18): task 2.8(i) complete \u2014 E-018 descent\n  profile: (\u2605) cancellation strip-uniform (median |M|/|R\u2080| ~5\u20137e-3,\n  y\u2080\u2208[0.1,1]); open content = zero set of M only; \u03b8-preference found\n  metric-dependent. D-028.\n- Session 006 cont.4 (2026-08-18): task 2.8(ii) complete \u2014 backend v2\n  (blockwise \u039b to e\u00b2\u2074, validated 2.2e-7/4.4e-8) + E-019 at a=12: NO\n  transition (maximal lattice, z\u2081\u00b7a=4.495, gap CV \u2193, origin pair +2.0000\n  winding excess, \u03b3-proximity chance-level, envelope stationary). 2.8\n  CLOSED; a=13+ deprioritized by evidence (D-029). \u2192 Next: 1.6\n  (\u03be\u2032-world ceiling).\n- Session 006 cont.5 (2026-08-18): task 1.6 COMPLETE \u2014 E-020b window\n  optimum for kernel D\u2081 = 0.86864 to 1e-6 (quartic window IS the\n  optimum; control recovers MT); \u03be\u2032-world saturated, nothing transfers\n  to \u03be; E-020 adversary-pool limitation documented (D-030). User\n  decision: do 1.6 then 1.7 as queued (option #1). \u2192 Next: 1.7 (T4b\n  scoping).\n- Session 006 cont.6 (2026-08-18): task 1.7 COMPLETE \u2014 T4b CLOSED\n  (D-031): node mechanism iterates formally (\u03be\u2033 \u2248 0.94 leading-order)\n  but G-001 symmetry caps every \u03be\u207d\u1d4f\u207e data class below 100%; Speiser/\n  Levinson\u2013Montgomery route to RH closed at every order; revival\n  condition noted. Session-005 queue (A3\u2192A1\u2192A2\u2192C\u2192B) NOW FULLY DONE.\n  \u2192 Next: 3.5 (Li asymptotic attack) or (\u2605) analytic attack.\n- Session 006 cont.7 (2026-08-18): task 3.5 DESIGN COMPLETE (user\n  directive: do 3.5 then (\u2605), then analyze for next stage). D-032\n  literature map: Voros \u2014 \"\u03bb_n>0 \u2200n\u2265N\u2080\" \u27fa RH at ANY N\u2080; Lagarias\n  Thm 6.1 finite-height bridge is the exploitable skeleton. D-033:\n  achievable deliverable = EXPLICIT finite-height theorem (\u03bb_n>0 \u2200n\u2264N\u2081\n  \u2248 10\u00b2\u2070\u201310\u00b2\u2074 from Platt T\u2080 + traced constants + finite verification);\n  wall = three-way arithmetic cancellation (triangle bounds explode).\n  New tasks 3.6/3.7/3.8 (D-036 constants, E-021 S_\u221e, D-037 assembly).\n- Session 006 cont.8 (2026-08-18): task (\u2605) DESIGN COMPLETE. D-034:\n  WH factorization + RH is unexplored territory (26 arXiv hits all\n  Riemann\u2013Hilbert); Krein/Gohberg\u2013Feldman/de Branges\u2013Krein machinery\n  exists. D-035: resolvent-convergence route \u2014 D_{a,\u03b8(a)}\u2192D in Krein\n  space; Cor 1.6 \u27fa D has real spectrum (deliverable D1); three-layer\n  wall (index/persistence=RH/circularity); off-axis 99.8% cancellation\n  is TAUTOLOGICAL (entirety of W forces it), the \u211d-envelope is the\n  whole problem. New tasks 2.9/2.10/2.11.\n- Session 007 (2026-08-18/19): task 3.6 marked done; task 3.7 (E-021)\n  COMPLETE after 6-bug root-cause saga (mpmath zeta ~58-digit ceiling,\n  GAMMA_E float literal, 3\u00d7 parse-before-dps, \u03c3-omission boundary\n  (15/14)\u207f, float64 zeros). E-021 ALL CHECKS PASS: V1 4.8e-25 vs\n  E-015; A = 0.9, B\u2080 = 1.0 measured; c\u2080 = \u22121/4 (+1/(24n) correction);\n  |S_f| max 13.52 at n = 3298 vs traced bound ~2280 (~170\u00d7 slack).\n  Resources folder (29 RH-equivalence notes) read in full. Next: 3.8\n  (D-037 \u2192 R-004 finite-height theorem assembly).\n- Session 008 (2026-08-19): REGROUP + R7 registration (resources atlas\n  indexed: resources/index.md, manifest R7, D-001 Part III pointer).\n  Task 3.8 COMPLETE \u2014 **R-004 finite-height Li theorem**: \u03bb_n > 0 for\n  all n \u2264 N\u2081 = (T\u2080\u22121)\u00b2 \u2248 9.0\u00d710\u00b2\u2074 (T\u2080 = 3\u00d710\u00b9\u00b2 Platt\u2013Trudgian);\n  conservative window N\u2081* = 2.73\u00d710\u00b2\u00b9. E-023 support computation ALL\n  CHECKS PASS: D-036 |t|<10 gap found + closed (M\u2080 = 1.3352), S_\u221e\n  elementary lower bound validated vs exact (min slack 9.52), N\u2080 =\n  5\u00d710\u2074 adopted (crossover 32 871 traced / 30 217 measured), margin\n  convex, margin(N\u2081) = 2.46\u00d710\u00b2\u2076. Ledger #6. Criterion-3 deliverable \u2014\n  the maximal content of the Li route short of RH. Task 2.10 COMPLETE\n  same session: E-022/E-022b + D-040 \u2014 spectral measures \u03bc_a (Clark\n  weights 1/K_a(z_k,z_k)) for a \u2264 12; **valley observable**: K_a(z,z)\n  dips exactly at the true \u03b3's, \u0394(a) \u2248 3.33 \u2212 4.76/a saturating at\n  fixed \u03b8=\u03c0; \u03b3-information flows through weights, not positions; mass\n  within \u00b10.1 of \u03b3's 63\u219272.5%; new constraint on 2.9-D1 (\u03b8(a) must\n  drive \u0394 \u2192 \u221e). Next: 2.9-D1, 2.11 (D-038); optional D-039 digamma\n  upgrade.\n- Session 009 (2026-08-19): **PHASE 4 COMPLETE.** Session-008 leftovers\n  (D-052 4.1/4.2, D-053 4.3a gate PASS) committed. 4.3b (D-054): four\n  independent-instance reviews + hand-verification \u2014 ALL THREE TAGS\n  downgraded (D-039 proof broken/bound true; D-036 \u00a71 far-sum\n  O(|t| log t) hole \u2014 reference-point trick missing; D-049 B1/B3 lower\n  bounds broken; \u03b4_crit one-direction; T-2 \u21d0 skeleton; D-052 accounting",
    "numLines": 300,
    "startLine": 840,
    "totalLines": 1766
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}

{
  "command": "cd \"D:/Python/Quantum\" && ./.venv/Scripts/python.exe research/numerics/scripts/E-011-li-coefficients-arithmetic.py --n-max 1000 --force",
  "description": "Run E-011 at n_max=1000 to validate fix",
  "timeout": 600000
}

{
  "file_path": "D:\\Python\\Quantum\\research\\numerics\\scripts\\E-011-li-coefficients-arithmetic.py",
  "old_string": "        mp.mpf(flint.arb(j).zeta().str(mp.dps + 10, radius=False))",
  "new_string": "        mp.mpf(flint.arb(j).zeta().str(mp.mp.dps + 10, radius=False))"
}

{
  "filePath": "D:\\Python\\Quantum\\RH-WEBSITE.md",
  "oldString": "## 7. IMPROVEMENT BACKLOG (standing order \u2014 review each session)\nIdeas not yet implemented, ranked by value:\n1. Global search page across all research markdown (results/derivations/\n   resources/journal) \u2014 index-free, scan-on-query is fine at this size.\n2. Conversations: \"new activity\" badge when agent.db grows between polls.\n3. Experiments: diff view when a sidecar's checks change between runs.\n4. Mobile/responsive sidebar (collapsible hamburger).\n5. Dashboard: auto-refresh stat counters (currently static until reload).\n6. Charts: E-019 zero-flow needs series-column grouping support.\nDone:",
  "newString": "## 7. IMPROVEMENT BACKLOG (standing order \u2014 review each session)\nIdeas not yet implemented, ranked by value:\n1. Conversations: \"new activity\" badge when agent.db grows between polls.\n2. Experiments: diff view when a sidecar's checks change between runs.\n3. Mobile/responsive sidebar (collapsible hamburger).\n4. Dashboard: auto-refresh stat counters (currently static until reload).\n5. Charts: E-019 zero-flow needs series-column grouping support.\nDone:\n- 2026-08-27: global search page `/search/` (backlog #1) \u2014 AND-of-terms\n  case-insensitive scan-on-query across all MD_COLLECTIONS markdown\n  (results/derivations/graveyard/journal/resources); up to 3 snippets per\n  file with line numbers + <mark> highlights; results hits mapped to\n  /ledger/R-NNN/; 100-file cap with truncation notice; sidebar entry;\n  /search/ + a sample query added to the healthcheck ROUTES (now 22).\n  Also: watchdog found dead (last log 2026-08-21) and respawned detached.",
  "originalFile": "# RH-WEBSITE.md \u2014 NGUYEN-RH-1 Research Website\n# Standing plan + operations document. READ FIRST when doing website work.\n# Created: 2026-08-19 | Status: ACTIVE | Version: 1.0\n# ============================================================\n\n## 0. \u26d4 HARD RULE \u2014 READ FIRST (user directive, 2026-08-19)\n**DO NOT WRITE to any research document.** The research archive\n(NGUYEN.md, STATE.md, everything under `research/`, git history) is the\nsingle source of truth and is modified ONLY by the research agent per\nNGUYEN.md \u00a78.4. Website work may touch ONLY:\n- `D:\\Python\\Quantum\\web\\`          (all website code, data, logs)\n- `D:\\Python\\Quantum\\RH-WEBSITE.md` (this file)\n\nThe website reads research files exclusively through READ-ONLY handles:\nSQLite via `mode=ro` URI, text files opened `'r'`. Feedback submissions\ngo to `web/feedback/` + `web/feedback.db` \u2014 never into `research/`.\nWhen committing, stage ONLY `web/` and `RH-WEBSITE.md` by name.\n\n## 1. PURPOSE\nPublic-facing-style (localhost-only) interactive dashboard for the\nNGUYEN-RH-1 Riemann Hypothesis research project. Goals:\n- Landing page explaining RH and the research mission to a general audience.\n- Live progress: current stage, next action, metrics \u2014 auto-updating as the\n  research agent writes to the file system.\n- Browsable archive: results, experiments (+ interactive charts),\n  derivations, graveyard, journal, resources atlas, paper status.\n- Feedback channel: visitors submit comments/suggestions; searchable;\n  researcher reviews them to help the research.\n\n## 2. ARCHITECTURE\n- Location: `D:\\Python\\Quantum\\web\\` \u2014 Django project `rhweb`, app `dashboard`.\n- Interpreter: project `.venv` (`./.venv/Scripts/python.exe`).\n  Deps: `web/requirements-web.txt` (Django, markdown).\n- Server: `python web/manage.py runserver 127.0.0.1:8001` \u2014 localhost only.\n- Frontend: vanilla JS + vendored Plotly.js (interactive charts) +\n  vendored MathJax (tex-chtml) for math in markdown. NO CDN dependency.\n- Live updates: frontend polls `GET /api/status/` every 3 s; the endpoint\n  reports file mtimes + parsed STATE.md + active run-logs + new-feedback\n  count; changed panels refresh in place. No WebSockets/Redis.\n\n### Data flow (all read-only on research/)\n| Source | How read | Used by |\n|---|---|---|\n| STATE.md | parse `## SECTION` blocks ('r') | Dashboard, status bar |\n| NGUYEN.md | checklist \u00a75 `- [x]/[~]/[ ]` counts; \u00a77 ledger | Dashboard metrics, Roadmap |\n| research/research.db | sqlite3 `file:...?mode=ro` | Ledger, Experiments, Derivations, Graveyard, Journal indexes |\n| research/numerics/data/*.json | json.load ('r') | Experiment cards (checks, key values, caveats) |\n| research/numerics/data/*.csv | csv module, downsampled | Plotly charts, table previews |\n| research/**/*.md | python-markdown + math-protect | Archive pages |\n| research/numerics/data/*-run.log | tail (last N lines) | Live Runs page |\n| git log | `git log --oneline` subprocess (read-only) | Dashboard activity feed |\n\n## 3. FILE MAP\n```\nweb/\n\u251c\u2500\u2500 manage.py\n\u251c\u2500\u2500 lockcheck.py              # \u00a70 verification: proves the server never\n\u2502                             #   blocks writers (run: .venv python web/lockcheck.py)\n\u251c\u2500\u2500 requirements-web.txt\n\u251c\u2500\u2500 rhweb/                  # project: settings.py, urls.py, wsgi.py\n\u251c\u2500\u2500 dashboard/\n\u2502   \u251c\u2500\u2500 research_data.py    # ALL read-only parsers (single module to audit \u00a70)\n\u2502   \u251c\u2500\u2500 models.py           # Feedback model (lives in web/feedback.db ONLY)\n\u2502   \u251c\u2500\u2500 views.py            # pages\n\u2502   \u251c\u2500\u2500 api.py              # /api/health, /api/status, /api/logtail\n\u2502   \u251c\u2500\u2500 urls.py\n\u2502   \u251c\u2500\u2500 templates/dashboard/*.html\n\u2502   \u2514\u2500\u2500 static/dashboard/{style.css, app.js, vendor/plotly.min.js, vendor/tex-chtml.js}\n\u251c\u2500\u2500 feedback/               # one JSON per submission (dual storage)\n\u251c\u2500\u2500 feedback.db             # SQLite index for search (Django default DB)\n\u2514\u2500\u2500 logs/                   # server.log, healthcheck.log\n```\n\n## 4. PAGES (left sidebar)\n1. **Home** `/` \u2014 RH explainer, mission, 4 attack tracks, success ladder.\n2. **Dashboard** `/dashboard/` \u2014 current stage (STATE.md), next action,\n   progress metrics (phases bar, tasks done/total, ledger size), git feed.\n3. **Roadmap** `/roadmap/` \u2014 NGUYEN.md \u00a75 checklist rendered w/ status.\n4. **Search** `/search/` \u2014 global archive search (see \u00a77 note): AND-of-terms\n   case-insensitive scan across all MD_COLLECTIONS markdown; snippets with\n   line numbers + highlighted matches; results hits link to /ledger/R-NNN/.\n5. **Results Ledger** `/ledger/` + `/ledger/R-NNN/` \u2014 claims + honesty tags.\n6. **Experiments** `/experiments/` + `/experiments/E-NNN/` \u2014 sidecar cards;\n   Plotly charts from CSVs (config in research_data.CHARTS); pass/fail badges.\n7. **Derivations** `/derivations/` + detail \u2014 37 D-files, math rendered.\n8. **Graveyard** `/graveyard/` \u2014 documented dead ends.\n9. **Journal** `/journal/` + detail \u2014 session narratives.\n10. **Resources** `/resources/` + detail \u2014 43-note RH-equivalence atlas.\n11. **Paper** `/paper/` \u2014 draft status, references, paper-folder inventory.\n12. **Live Runs** `/live/` \u2014 tail view of *-run.log, 3 s polling.\n13. **Feedback** `/feedback/` \u2014 submit form + search (text, category, status).\n14. **Conversations** `/conversations/` \u2014 browse the Nguyen CLI conversation\n    index (`~/.nguyen/projects/D--Python-Quantum/agent.db`, outside the repo,\n    opened read-only): session list; per-session message cards with\n    thinking/tool blocks (collapsible), FTS search + kind filters; single\n    message view `/conversations/<spk>/msg/<id>/` with prev/next arrows,\n    arrow-key navigation, jump-to-id, raw JSON row view.\n\n## 5. FEEDBACK SYSTEM\n- Submit: name (optional), category (general/suggestion/question/correction/\n  track-A/B/C/D), text. CSRF-protected; autoescaped on render.\n- Dual storage (mirrors NGUYEN.md \u00a78.2): JSON file per submission in\n  `web/feedback/FB-<utc>-<id>.json` + row in `web/feedback.db`.\n- Search: full-text (name+text) + category/status filters.\n- Statuses: new \u2192 reviewed \u2192 acted-on (status changes are website data,\n  allowed under \u00a70; researcher notes field for follow-up).\n\n## 6. OPERATIONS\n### 6.1 Session-start protocol (website work)\n1. Read this file.\n2. Run `./.venv/Scripts/python.exe web/healthcheck.py --restart`\n   (checks /api/health + all routes + status-API freshness; restarts the\n   server if unreachable). Fix any failing route before other work.\n3. Check the watchdog is alive: `web/logs/watchdog.log` tail should show\n   entries within the last ~10 min; if not, restart it (\u00a76.2b).\n4. Review new feedback: `web/feedback.db` status='new' (or the /feedback/\n   page); surface relevant items to the user.\n5. Improvement pass (standing order, user 2026-08-19): look for at least\n   one interface or data-presentation improvement per session; log ideas\n   in \u00a78 below and implement the worthwhile ones.\n### 6.2 Start server (detached, sandbox DISABLED \u2014 long-run rule)\n```\ncd D:\\Python\\Quantum && ./.venv/Scripts/python.exe web/manage.py runserver \\\n  127.0.0.1:8001 >> web/logs/server.log 2>&1   # DETACHED_PROCESS\n```\n### 6.2b Watchdog (always-on monitoring, started 2026-08-19)\n`web/watchdog.py` runs detached between sessions: every 300 s it runs the\nhealth checks and restarts the server if unreachable. Logs:\n`web/logs/watchdog.log` + `web/logs/healthcheck.log`.\nStart detached: `subprocess.Popen([sys.executable, 'web/watchdog.py'], ...)`\nwith DETACHED_PROCESS (same pattern as \u00a76.2).\n### 6.3 Restart / health\n- Stop: find PID via `netstat -ano | findstr :8001`, `taskkill /PID <pid> /F`.\n- **Restart required after ANY code OR template change** (templates are\n  cached in-process \u2014 a home.html edit did not appear until restart,\n  2026-08-19). Static CSS/JS changes serve immediately.\n  NOTE: port is **8001** since 2026-08-19 \u2014 port 8000 is reserved for the\n  user's other service (do not use it).\n- Log tail: `web/logs/server.log`.\n- First run after code change to models:\n  `./.venv/Scripts/python.exe web/manage.py migrate`.\n### 6.4 Updating the site when research data changes shape\n- New experiment: automatic (db + sidecars). Charts: add entry to\n  `research_data.CHARTS` (x/y columns, type).\n- New markdown folders: register in `research_data.MD_COLLECTIONS`.\n- Never patch around \u00a70 \u2014 if a feature needs research-archive writes,\n  STOP and ask the user.\n### 6.5 Lock-safety guarantees (verified 2026-08-19, web/lockcheck.py)\n- Text/md/CSV/log reads use Python 'r' handles (Windows share mode allows\n  concurrent writers) and close immediately after each read.\n- research.db / agent.db opened SQLite mode=ro per query, closed in finally;\n  shared read lock exists only for the duration of each SELECT (ms).\n- Server runs --noreload: no autoreload file watchers held open.\n- git log is read-only plumbing (no index lock).\n- Empirical: 24 s of 4-thread HTTP load across all heavy pages while taking\n  120 DB write locks (BEGIN IMMEDIATE/ROLLBACK) + 360 write-intent file\n  opens on STATE.md, NGUYEN.md, CSVs, run-logs \u2014 zero conflicts, zero stalls.\n\n## 7. IMPROVEMENT BACKLOG (standing order \u2014 review each session)\nIdeas not yet implemented, ranked by value:\n1. Global search page across all research markdown (results/derivations/\n   resources/journal) \u2014 index-free, scan-on-query is fine at this size.\n2. Conversations: \"new activity\" badge when agent.db grows between polls.\n3. Experiments: diff view when a sidecar's checks change between runs.\n4. Mobile/responsive sidebar (collapsible hamburger).\n5. Dashboard: auto-refresh stat counters (currently static until reload).\n6. Charts: E-019 zero-flow needs series-column grouping support.\nDone:\n- 2026-08-19: healthcheck.py + watchdog.py (\u00a76.1/\u00a76.2b); Home latest-result\n  card now dynamic (was hardcoded R-004); dashboard data-freshness line\n  (STATE.md/research.db/agent.db, live via polling); E-017 chart.\n- 2026-08-22: bug fixes. (1) git_log 500 on /dashboard/ \u2014 subprocess\n  decoded git's UTF-8 commit output as cp1252; reader thread died on\n  Unicode commit messages and stdout came back None. Fixed with\n  encoding=\"utf-8\", errors=\"replace\" + a None guard. (2) Roadmap Phase 2 /\n  5B checklists rendered as paragraph text \u2014 those phases have a note\n  paragraph directly above the list (no blank line) and python-markdown\n  never lets a list interrupt a paragraph (sane_lists or not). Fixed with\n  research_data._restore_interrupted_lists: inserts the missing blank line\n  before a list that follows paragraph text (skips indented item\n  continuations so existing lists stay tight; skips fenced code). Archive\n  text rendered verbatim as before \u2014 block structure only.\n- 2026-08-20: math typography pass APPLIED then REVERTED same day (user\n  directive). Context: MathJax 3.2.2 works (resources atlas has real\n  LaTeX); the research archive writes plain Unicode math, so MathJax has\n  nothing to typeset there \u2014 that is the correct, intended rendering.\n  A display-formula-lifting heuristic (research_data._display_formulas +\n  .math-line styling) was built and then removed at user request:\n  **the website renders the research archive VERBATIM \u2014 no presentation\n  transforms, no conversions, no re-boxing of archive text.** Do not\n  re-attempt Unicode\u2192LaTeX conversion or formula-detection heuristics;\n  the archive's plain-Unicode math is the source of truth and its\n  verbatim display is correct by definition.\n\n## 8. BUILD STATUS\n- [x] Plan written (v1.0, 2026-08-19)\n- [x] Dependencies installed (Django 6.1, markdown 3.10.3); vendored JS\n      (plotly 2.35.2, MathJax 3.2.2 tex-chtml)\n- [x] Django scaffold (rhweb project + dashboard app)\n- [x] Parsers / views / API (research_data.py read-only layer)\n- [x] Templates / CSS / JS (12 pages, sidebar, 3 s polling, Plotly charts)\n- [x] Server verified live at 127.0.0.1:8001 \u2014 all 15 routes 200;\n      feedback POST/search verified; path-traversal guard verified;\n      smoke-test data cleaned up\n- [x] Initial commit (web/ + RH-WEBSITE.md only)\n",
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      "oldStart": 158,
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        " ",
        " ## 7. IMPROVEMENT BACKLOG (standing order \u2014 review each session)",
        " Ideas not yet implemented, ranked by value:",
        "-1. Global search page across all research markdown (results/derivations/",
        "-   resources/journal) \u2014 index-free, scan-on-query is fine at this size.",
        "-2. Conversations: \"new activity\" badge when agent.db grows between polls.",
        "-3. Experiments: diff view when a sidecar's checks change between runs.",
        "-4. Mobile/responsive sidebar (collapsible hamburger).",
        "-5. Dashboard: auto-refresh stat counters (currently static until reload).",
        "-6. Charts: E-019 zero-flow needs series-column grouping support.",
        "+1. Conversations: \"new activity\" badge when agent.db grows between polls.",
        "+2. Experiments: diff view when a sidecar's checks change between runs.",
        "+3. Mobile/responsive sidebar (collapsible hamburger).",
        "+4. Dashboard: auto-refresh stat counters (currently static until reload).",
        "+5. Charts: E-019 zero-flow needs series-column grouping support.",
        " Done:",
        "+- 2026-08-27: global search page `/search/` (backlog #1) \u2014 AND-of-terms",
        "+  case-insensitive scan-on-query across all MD_COLLECTIONS markdown",
        "+  (results/derivations/graveyard/journal/resources); up to 3 snippets per",
        "+  file with line numbers + <mark> highlights; results hits mapped to",
        "+  /ledger/R-NNN/; 100-file cap with truncation notice; sidebar entry;",
        "+  /search/ + a sample query added to the healthcheck ROUTES (now 22).",
        "+  Also: watchdog found dead (last log 2026-08-21) and respawned detached.",
        " - 2026-08-19: healthcheck.py + watchdog.py (\u00a76.1/\u00a76.2b); Home latest-result",
        "   card now dynamic (was hardcoded R-004); dashboard data-freshness line",
        "   (STATE.md/research.db/agent.db, live via polling); E-017 chart."
      ]
    }
  ],
  "userModified": false,
  "replaceAll": false
}

{
  "todos": [
    {
      "content": "Verify E-010 extended re-run data validity + re-register in db",
      "status": "completed",
      "activeForm": "Verifying E-010 re-run data"
    },
    {
      "content": "Commit housekeeping (papers, Notes.txt) + E-010 extension",
      "status": "completed",
      "activeForm": "Committing housekeeping and E-010"
    },
    {
      "content": "Debug E-011 precision plumbing (53-bit signature at digit ~14)",
      "status": "completed",
      "activeForm": "Debugging E-011 precision plumbing"
    },
    {
      "content": "Re-run E-011 and resolve checks (or document obstruction)",
      "status": "completed",
      "activeForm": "Re-running E-011"
    },
    {
      "content": "Session-end protocol: journal, db, checklist, commit",
      "status": "in_progress",
      "activeForm": "Running session-end protocol"
    }
  ]
}

{
  "oldTodos": [
    "content='Read current web/ files (settings, urls, models, views, healthcheck)' status='in_progress' active_form='Reading current web/ files'",
    "content='Add VisitorLog model + tracking middleware' status='pending' active_form='Adding VisitorLog model + middleware'",
    "content='Wire Django admin (settings, urls, admin.py)' status='pending' active_form='Wiring Django admin'",
    "content='Add feedback email notification hook' status='pending' active_form='Adding feedback email hook'",
    "content='Migrate + test locally (admin, visitor rows, feedback)' status='pending' active_form='Migrating + testing locally'",
    "content='Deploy to server via SSH (files, prod settings, migrate, superuser, collectstatic)' status='pending' active_form='Deploying to server via SSH'",
    "content='Verify live: /admin/ login, visitor log, feedback email' status='pending' active_form='Verifying live site'",
    "content='Update RH-WEBSITE.md + memory' status='pending' active_form='Updating RH-WEBSITE.md + memory'"
  ],
  "newTodos": [
    "content='Read current web/ files (settings, urls, models, views, healthcheck)' status='completed' active_form='Reading current web/ files'",
    "content='Add VisitorLog model + tracking middleware' status='in_progress' active_form='Adding VisitorLog model + middleware'",
    "content='Wire Django admin (settings, urls, admin.py)' status='pending' active_form='Wiring Django admin'",
    "content='Add feedback email notification hook' status='pending' active_form='Adding feedback email hook'",
    "content='Migrate + test locally (admin, visitor rows, feedback)' status='pending' active_form='Migrating + testing locally'",
    "content='Deploy to server via SSH (files, prod settings, migrate, superuser, collectstatic)' status='pending' active_form='Deploying to server via SSH'",
    "content='Verify live: /admin/ login, visitor log, feedback email' status='pending' active_form='Verifying live site'",
    "content='Update RH-WEBSITE.md + memory' status='pending' active_form='Updating RH-WEBSITE.md + memory'"
  ],
  "cleared": false
}

{
  "command": "cd \"D:/Python/Quantum\" && rm research/numerics/data/E-011-n1000-backup.csv research/numerics/data/E-011-n1000-backup.json research/numerics/data/E-011-n2000.log && ./.venv/Scripts/python.exe research/numerics/scripts/db.py log-experiment E-011 --name \"Li coefficients n<=2000 from arithmetic side (Bombieri-Lagarias Thm 2 eta-form; flint Stieltjes + Arb zeta; zero-free); ALL CHECKS PASS\" --script research/numerics/scripts/E-011-li-coefficients-arithmetic.py --params '{\"n_max\":2000,\"dps\":1000,\"arb_bits\":3530}' --dps 1000 --csv research/numerics/data/E-011-li-coefficients-arithmetic.csv --json research/numerics/data/E-011-li-coefficients-arithmetic.json --session 4",
  "description": "Clean up temp files and register E-011 in research.db"
}

{
  "file_path": "D:\\Python\\Quantum\\research\\journal\\session-004.md",
  "content": "# Session 004 \u2014 2026-08-17 (resume after killed session; fork 2 complete)\n\n## Resume verification\nPrevious session was KILLED mid-work (python process died, taking the agent\nwith it). STATE.md + git showed: last commit d5a952a (session 003, fork 1\nE-010 done); uncommitted on disk \u2014 paper reorg, E-010 extended re-run,\nand E-011 (fork 2) with FAILING checks (V1/V2/V3 false, V5 true).\n\n## Diagnosis of the orphaned E-011 failure\n- mtimes: data written 22:13, script edited 22:47 \u2014 the failing data came\n  from an OLDER script revision; the fix was never re-run before the kill.\n- Old run's \u03bb\u2081 error had a 53-bit signature (~2e-16 abs). All precision\n  paths in the NEW script probed clean to ~900 digits (mp.log/pi/euler vs\n  flint at dps=1000; flint stieltjes worker strings; Pool pickle path).\n- Found two real bugs left by the killed edit:\n  1. Hardcoded LAMBDA1_KNOWN was wrong from digit 22 \u2014 true \u03bb\u2081 =\n     0.0230957089661210338**1431**... (flint, 100 digits), not ...**1055**...\n  2. `mp.dps` getter typo \u2192 AttributeError (must be `mp.mp.dps`; cf. the\n     known mp.dps setter bug in this env).\n- Lesson (add to env lore): background Bash tasks are killed by the CLI\n  timeout (~2 min default, 10 min max). Long runs must be launched\n  DETACHED (subprocess.Popen, DETACHED_PROCESS|CREATE_NEW_PROCESS_GROUP)\n  with a log file. flint.acb.stieltjes(k) scales ~k^3 (28s at k=2000,\n  3530 bits); full 0..2000 sweep \u2248 12.5 min on 14 workers.\n\n## Work\n1. E-010 extended re-run verified (all 4 checks pass; a\u22648, \u03bb=\u22121, h_conv to\n   2.5e-3), re-registered in db, committed with paper reorg (b04e50a).\n2. E-011 fixed and re-run: n_max=1000 validation PASS, then n_max=2000\n   detached run \u2014 ALL CHECKS PASS:\n   - \u03bb\u2081 err 4.31e-102; V2 worst dev ratio 0.125 (n\u2264116 vs E-008 zero side);\n   - V3: \u03bb_n > 0 for all n \u2264 2000; V5 rel dev 6.67e-705;\n   - \u03bb\u2082\u2080\u2080\u2080 = 5351.7595, Arias de Reyna refined ratio 1.00216.\n   - Registered E-011 in db; result filed as R-001.\n   - Runtime: stieltjes sweep 752s + V5 sweep 267s + sums \u2248 18 min.\n\n## Outcome\nFork 2 (task 3.2 continuation) COMPLETE: Li coefficients now computed to\nn=2000 from the arithmetic side (zero-free, BL Thm 2), cross-validated\nagainst the zero side (E-008). \u03bb_n > 0 \u2200 n \u2264 2000 [NUMERICAL-VALIDATED].\n\n## Remaining forks (\u00a78.4a)\n3. 3.3: de Bruijn\u2013Newman heat flow vs 2/3-density.\n4. T4: \u03be\u2032-analogue (cheap secondary Track A target).\nThen: gather thoughts with user. Suzuki-side option Q-S3 (\u03b8(a) read-off)\nalso open.\n"
}

{
  "type": "create",
  "filePath": "D:\\Python\\quantum-deploy\\smoke_test.py",
  "content": "\"\"\"Local smoke test for the STAGED deployment copy (Django 5.2, prod settings).\n\nCrawls every healthcheck route plus dynamic samples (conversations, search,\nscript/lean/collection details) against D:/Python/quantum-deploy/docroot/app.\nNothing outside the staging tree is touched.\n\"\"\"\nimport os\nimport sqlite3\nimport sys\nfrom pathlib import Path\n\nROOT = Path(__file__).resolve().parent / \"docroot\" / \"app\"\nsys.path.insert(0, str(ROOT / \"vendor\"))\nsys.path.insert(0, str(ROOT / \"web\"))\n\nos.environ.setdefault(\"DJANGO_SETTINGS_MODULE\", \"rhweb.settings\")\n\nimport django  # noqa: E402\n\ndjango.setup()\n\nfrom django.conf import settings  # noqa: E402\nfrom django.core.management import call_command  # noqa: E402\nfrom django.test import Client  # noqa: E402\n\nprint(\"Django\", django.get_version(), \"| python\", sys.version.split()[0])\nprint(\"BASE_DIR:\", settings.BASE_DIR)\nprint(\"RESEARCH_DIR:\", settings.RESEARCH_DIR)\nprint(\"STATIC_ROOT:\", settings.STATIC_ROOT)\n\nprint(\"\\n== system checks ==\")\ncall_command(\"check\")\n\nsettings.ALLOWED_HOSTS = list(settings.ALLOWED_HOSTS) + [\"testserver\"]\n\nfrom dashboard import research_data as rd  # noqa: E402\n\nprint(\"AGENT_DB:\", rd.AGENT_DB, \"exists:\", rd.AGENT_DB.exists())\n\n# --- gather real dynamic-route samples from the staged data\ncon = sqlite3.connect(f\"file:{rd.DB}?mode=ro\", uri=True)\nrid = con.execute(\"SELECT id FROM results ORDER BY id DESC LIMIT 1\").fetchone()[0]\neid = con.execute(\"SELECT id FROM experiments ORDER BY id DESC LIMIT 1\").fetchone()[0]\ncon.close()\n\nscript = sorted((rd.SCRIPTS_DIR).glob(\"*.py\"))[0].stem\nlean_file = sorted(rd.LEAN_SRC.glob(\"*.lean\"))[0].stem\naudits = sorted(rd.LEAN_ROOT.glob(\"audit-session*-axioms.txt\"))\naudit = audits[0].stem if audits else None\ncoll_samples = {}\nfor kind, (folder, ext) in rd.MD_COLLECTIONS.items():\n    files = [p.stem for p in sorted(folder.glob(f\"*{ext}\"))\n             if p.name not in (\"index.md\", \"index.txt\")]\n    coll_samples[kind] = files[0] if files else None\n\nspk = mid = None\nif rd.agent_available():\n    acon = sqlite3.connect(f\"file:{rd.AGENT_DB}?mode=ro\", uri=True)\n    row = acon.execute(\"SELECT id FROM sessions ORDER BY id DESC LIMIT 1\").fetchone()\n    if row:\n        spk = row[0]\n        mrow = acon.execute(\n            \"SELECT id FROM messages WHERE session_pk=? ORDER BY id LIMIT 1\",\n            (spk,)).fetchone()\n        mid = mrow[0] if mrow else None\n    acon.close()\n\nroutes = [\n    \"/\", \"/dashboard/\", \"/roadmap/\", \"/search/?q=li+coefficient\",\n    \"/ledger/\", f\"/ledger/{rid}/\",\n    \"/experiments/\", f\"/experiments/{eid}/\",\n    \"/scripts/\", f\"/scripts/{script}/\",\n    \"/lean/\", f\"/lean/{lean_file}/\",\n    \"/paper/\", \"/live/\", \"/conversations/\", \"/feedback/\",\n    \"/api/health/\", \"/api/status/\", \"/api/logtail/?name=x-run.log\",\n]\nif audit:\n    routes.append(f\"/lean/audit/{audit}/\")\nfor kind, stem in coll_samples.items():\n    routes.append(f\"/{kind}/\")\n    if stem:\n        routes.append(f\"/{kind}/{stem}/\")\nif spk:\n    routes.append(f\"/conversations/{spk}/\")\n    if mid:\n        routes.append(f\"/conversations/{spk}/msg/{mid}/\")\n\nc = Client()\nfails = 0\nprint(\"\\n== route crawl ==\")\nfor r in routes:\n    try:\n        resp = c.get(r)\n        code = resp.status_code\n    except Exception as e:  # noqa: BLE001\n        code = f\"EXC {type(e).__name__}: {e}\"\n    if code != 200:\n        fails += 1\n    print(f\"  {code}  {r}\")\n\nprint(\"\\n== feedback POST ==\")\nresp = c.post(\"/feedback/\", {\"name\": \"smoke\", \"category\": \"general\",\n                             \"text\": \"deploy smoke test \u2014 delete me\"})\nprint(\"  POST /feedback/ ->\", resp.status_code, \"(expect 302)\")\nif resp.status_code != 302:\n    fails += 1\nn = rd  # feedback visible?\nfrom dashboard.models import Feedback  # noqa: E402\nfb = Feedback.objects.filter(text__contains=\"deploy smoke test\").first()\nprint(\"  row written:\", bool(fb))\nif fb:\n    fb.delete()\n    # remove the JSON sidecar written by the view\n    for p in (settings.BASE_DIR / \"feedback\").glob(\"*smoke*.json\"):\n        p.unlink()\n\nprint(f\"\\nRESULT: {len(routes)} routes, {fails} failures\")\nsys.exit(1 if fails else 0)\n",
  "structuredPatch": [],
  "originalFile": null
}

{
  "file_path": "D:\\Python\\Quantum\\STATE.md",
  "content": "# STATE.md \u2014 NGUYEN-RH-1 RESUME POINT\n# \u2b50 READ THIS FIRST at the start of every session.\nLast updated: 2026-08-17 | Session: 004 (fork 2 E-011 complete; killed-session recovery)\n\n## CURRENT POSITION\n\u2714 PHASE 0 COMPLETE. \u2714 PHASE 1 COMPLETE (Track A monitoring mode).\nPHASE 3 (Track C) UNDERWAY: 3.1 mapped (D-014, E-006/007, D-015/017),\n3.2 arithmetic side DONE to n=2000 (E-011/R-001), 3.4a/b/c COMPLETE.\nSuzuki line: g + A_a Galerkin + W-function machinery ALL VALIDATED\n(E-009/E-010); next Suzuki problem = Q-S3 (choice of theta(a), D-020 \u00a74).\n\n## COMPLETED (Session 004)\n- [x] Recovered killed session: E-011 orphaned mid-edit (failing data from\n      OLD script revision). Root-caused: wrong hardcoded \u03bb\u2081 constant\n      (digit 22+) + mp.dps getter typo; old run had 53-bit contamination\n- [x] Paper archive reorg (papers \u2192 research/paper/, reference texts\n      added); committed b04e50a\n- [x] E-010 extended re-run verified + re-registered (a\u22648, \u03bb=\u22121, h_conv\n      to 2.5e-3; all 4 checks pass)\n- [x] E-011 n_max=2000 ALL CHECKS PASS: \u03bb\u2081 err 4.31e-102; V2 worst ratio\n      0.125 (n\u2264116 vs E-008); \u03bb_n>0 \u2200n\u22642000; V5 rel dev 6.67e-705;\n      \u03bb\u2082\u2080\u2080\u2080=5351.7595, refined asymptotic ratio 1.00216 \u2192 R-001\n- [x] Detached-run machinery established for long jobs (see HANDOFF)\n\n## IN PROGRESS\n(none \u2014 clean stop; fork 2 of 4 done)\n\n## NEXT ACTION\nFORK RULE (\u00a78.4a) in progress \u2014 forks 1 (E-010) and 2 (E-011) DONE.\nRemaining forks:\n  3. 3.3: de Bruijn\u2013Newman heat flow vs 2/3-density.\n  4. T4: \u03be\u2032-analogue (cheap secondary Track A target).\nAfter all forks: gather thoughts with user. NEW Suzuki-side option\n(opened by D-020, not a fork obligation): Q-S3 attack \u2014 least-squares\nread-off of \u03b8(a), \u03c6(a,z) from Cor 1.6 target; check Suzuki \u00a77\u20138 and\nKim et al. (2607.24830) for canonical extension choices.\n\n## OPEN CONJECTURES / THREADS\n- Q-S1 (D-019 \u00a73): L\u00b2\u2192uniform lifting for Cor 1.6 (Phase 4 candidate).\n- Q-S2: \u210b(T_a) as de Branges-type space (Phase 2.4 link, alive).\n- Q-S3: \u03b8(a) identification \u2014 THE Suzuki-line crux (D-020 \u00a74).\n- Q6 uncertainty \u2194 bandwidth-one ceiling bridge (D-001); Q14 Gutzwiller\n  (Phase 2); T2 Christoffel/CMS (D-006); T4 \u03be\u2032-analogue.\n- 3.2 next: push Li n past 2000 (detached runs) or asymptotic attack;\n  optional hardening: Arb ball-arithmetic \u03bb_n certification.\nCLOSED: T1 (D-010/E-004), T3 (D-009), T5 (\u2192G-001), 3.4a (D-016).\n\n## BLOCKERS\n(none)\n\n## HANDOFF NOTES\n- db.py: init, log-experiment, add-result, add-derivation, add-graveyard,\n  list (no --session flag on add-derivation).\n- venv interpreter: ./.venv/Scripts/python.exe (NOT ./venv/...).\n- git commits need: git -c user.name=\"NGUYEN-RH-1\" -c\n  user.email=\"research@local\" commit (config must NOT be modified).\n- Break prompt rule active: ask before long runs, especially near 5:00 PM.\n- Hardware: Ryzen 9 7945HX 16c/32t, 64GB RAM, RTX 4090 Laptop 16GB.\n- venv packages: pypdf, sympy 1.14, mpmath 1.3, numpy 2.5.2, scipy 1.18,\n  flint (python-flint; use for ALL zeta/Stieltjes \u2014 mpmath's are broken\n  beyond ~16 digits in this env; mp.zetazero is safe).\n- LONG RUNS: CLI kills Bash tasks at ~2 min default (10 min max). For\n  longer jobs launch DETACHED:\n    subprocess.Popen([sys.executable, script, args...], stdout=logfile,\n      stderr=subprocess.STDOUT,\n      creationflags=0x00000008 | 0x00000200)  # DETACHED_PROCESS | NEW_GROUP\n  then poll the log file. (Session-004 lesson.)\n- flint.acb.stieltjes(k) scales ~k\u00b3 (28s @ k=2000, 3530 bits); full\n  0..2000 sweep \u2248 12.5 min on 14 Pool workers.\n- E-009b eigensolver floor: eigenvalues < ~1e-11 at h=5e-3 are at/below\n  backward-error noise \u2014 quote as upper bounds only.\n- E-010 build cache pattern: (a,h) builds reused across (\u03bb,\u03b8); sieve to\n  e^14 covers a \u2264 7.\n"
}

{
  "file_path": "C:\\Users\\lucky\\.nguyen\\projects\\D--Python-Quantum\\memory\\project_mpmath_dps_bug.md"
}

{
  "type": "text",
  "file": {
    "filePath": "D:\\Python\\Quantum\\web\\dashboard\\static\\dashboard\\style.css",
    "content": ":root {\n  --bg: #0d1117;\n  --bg-panel: #141a24;\n  --bg-card: #1a2230;\n  --border: #2a3040;\n  --text: #d5dbe5;\n  --muted: #8b93a3;\n  --accent: #4f9cf9;\n  --accent2: #7c5cff;\n  --ok: #3fb96b;\n  --warn: #e0a93e;\n  --fail: #e05e5e;\n  --mono: \"Cascadia Code\", Consolas, \"Courier New\", monospace;\n}\n\n* { box-sizing: border-box; }\nhtml, body { margin: 0; height: 100%; }\nbody {\n  background: var(--bg);\n  color: var(--text);\n  font: 15px/1.6 \"Segoe UI\", system-ui, sans-serif;\n}\n\n/* ---------- sidebar (fixed: stays put while content scrolls) ---------- */\n#sidebar {\n  width: 240px; height: 100vh;\n  position: fixed; top: 0; left: 0; z-index: 10;\n  overflow-y: auto;\n  background: var(--bg-panel);\n  border-right: 1px solid var(--border);\n  display: flex; flex-direction: column;\n}\n.brand { padding: 18px 18px 12px; border-bottom: 1px solid var(--border); }\n.brand-title { font-weight: 700; letter-spacing: 1px; color: var(--accent); }\n.brand-sub { font-size: 12px; color: var(--muted); }\n.menu { list-style: none; margin: 8px 0; padding: 0; flex: 1; overflow-y: auto; }\n.menu a {\n  display: block; padding: 9px 18px; color: var(--text);\n  text-decoration: none; border-left: 3px solid transparent;\n}\n.menu a:hover { background: #1d2635; }\n.menu a.active {\n  border-left-color: var(--accent);\n  background: #1d2635; color: #fff; font-weight: 600;\n}\n.sidebar-foot {\n  padding: 12px 18px; border-top: 1px solid var(--border);\n  font-size: 12px; color: var(--muted);\n}\n.dot {\n  display: inline-block; width: 9px; height: 9px; border-radius: 50%;\n  background: var(--fail); margin-right: 7px;\n}\n.dot.on { background: var(--ok); box-shadow: 0 0 6px var(--ok); }\n.badge {\n  background: var(--accent2); color: #fff; border-radius: 10px;\n  font-size: 11px; padding: 1px 7px; margin-left: 6px;\n}\n\n/* ---------- content ---------- */\n#content { margin-left: 240px; padding: 0 34px 60px; max-width: 1180px; }\n#topbar {\n  position: sticky; top: 0; z-index: 5;\n  background: var(--bg); border-bottom: 1px solid var(--border);\n  padding: 10px 0; margin-bottom: 20px;\n  font-size: 13px; color: var(--muted);\n}\n#topbar-task { color: var(--text); }\n.topbar-label { font-weight: 600; margin-right: 6px; }\n",
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{
  "todos": [
    {
      "content": "Web research: current best bounds on de Bruijn\u2013Newman \u039b (post-Polymath15)",
      "status": "in_progress",
      "activeForm": "Researching current \u039b bounds"
    },
    {
      "content": "D-021: scope 3.3 \u2014 can 2/3 density constrain \u039b? (obstruction analysis)",
      "status": "pending",
      "activeForm": "Writing D-021 scoping derivation"
    },
    {
      "content": "Optional E-012: toy backward heat-flow illustration on zero table",
      "status": "pending",
      "activeForm": "Running toy heat-flow experiment"
    },
    {
      "content": "File outcomes (graveyard/result), update NGUYEN.md + STATE.md, commit",
      "status": "pending",
      "activeForm": "Filing fork-3 outcomes"
    }
  ]
}

{
  "oldTodos": [
    "content='Write RH-WEBSITE.md plan (with DO-NOT-WRITE rule at top)' status='completed' active_form='Writing RH-WEBSITE.md plan'",
    "content='Install web deps (Django, markdown) + vendor Plotly/MathJax JS' status='completed' active_form='Installing web dependencies'",
    "content='Scaffold Django project in web/' status='completed' active_form='Scaffolding Django project'",
    "content='Implement research data parsers (read-only)' status='completed' active_form='Implementing data parsers'",
    "content='Implement views + API endpoints + feedback system' status='completed' active_form='Implementing views and API'",
    "content='Build templates, CSS, JS (sidebar layout, charts, live polling)' status='in_progress' active_form='Building templates and assets'",
    "content='Migrate DB, start server detached, verify pages' status='pending' active_form='Starting and verifying server'",
    "content='Commit website files (web/ + RH-WEBSITE.md only)' status='pending' active_form='Committing website files'"
  ],
  "newTodos": [
    "content='Write RH-WEBSITE.md plan (with DO-NOT-WRITE rule at top)' status='completed' active_form='Writing RH-WEBSITE.md plan'",
    "content='Install web deps (Django, markdown) + vendor Plotly/MathJax JS' status='completed' active_form='Installing web dependencies'",
    "content='Scaffold Django project in web/' status='completed' active_form='Scaffolding Django project'",
    "content='Implement research data parsers (read-only)' status='completed' active_form='Implementing data parsers'",
    "content='Implement views + API endpoints + feedback system' status='completed' active_form='Implementing views and API'",
    "content='Build templates, CSS, JS (sidebar layout, charts, live polling)' status='completed' active_form='Building templates and assets'",
    "content='Migrate DB, start server detached, verify pages' status='in_progress' active_form='Starting and verifying server'",
    "content='Commit website files (web/ + RH-WEBSITE.md only)' status='pending' active_form='Committing website files'"
  ],
  "cleared": false
}

{
  "file_path": "D:\\Python\\Quantum\\research\\numerics\\scripts\\E-012-dbn-heat-flow-toy.py",
  "content": "\"\"\"E-012 \u2014 de Bruijn-Newman heat-flow toy: collision-time statistics.\n\nIllustration for D-021 (task 3.3): the de Bruijn-Newman constant Lambda is\nset by the FIRST zero collision under the backward heat flow \u2014 an EXTREMAL\nstatistic (smallest rescaled gap) \u2014 whereas the 2/3 certificate is an\nAVERAGED (second-moment) statement. This script quantifies the mismatch on\nthe E-002 table (first 10^4 zeros, dps 25).\n\nTwo-body truncation of the Rodgers-Tao zero ODE\n    dx_j/dt = 2 * sum_{k != j} 1/(x_j - x_k):\nisolated pair with gap delta obeys d(delta^2)/dt = 8, hence backward\ncollision time t_c = -delta^2 / 8.\n\nPart 1: t_c distribution over all 10^4 - 1 consecutive gaps (spread in\norders of magnitude; binding pair vs mean/median).\nPart 2: full all-to-all backward ODE integration on the first N_ODE = 300\nzeros (scipy solve_ivp, event at min-gap closure) to check the two-body\nestimate against the many-body dynamics.\n\nChecks:\n  V1. two-body t_c computed for all gaps; min/max spread >= 4 orders of\n      magnitude documented (extremal sensitivity).\n  V2. full-ODE first-collision time agrees with two-body estimate for the\n      binding pair within a factor of 4 (many-body correction modest).\n  V3. Spearman-style sanity: the pair with the smallest gap is the pair\n      that collides first in the full ODE.\n\nNOTE (toy conventions): gamma's are used directly as H_0 zero coordinates;\nthe physical H_t flow uses rescaled variables. Absolute t_c values are\nconvention-dependent; the ORDER-OF-MAGNITUDE SPREAD and the\nextremal-vs-averaged point are not.\n\nOutputs: research/numerics/data/E-012-dbn-heat-flow-toy.csv (+ .json)\n\"\"\"\nimport json\nimport time\nfrom datetime import datetime, timezone\nfrom pathlib import Path\n\nimport numpy as np\nfrom scipy.integrate import solve_ivp\n\nREPO = Path(__file__).resolve().parents[3]\nDATA = REPO / \"research\" / \"numerics\" / \"data\"\nZEROS_CSV = DATA / \"E-002-zeros-first-10000.csv\"\nCSV = DATA / \"E-012-dbn-heat-flow-toy.csv\"\nJSON = DATA / \"E-012-dbn-heat-flow-toy.json\"\n\nN_ODE = 300\nGAP_TOL = 1e-10\n\n\ndef load_zeros():\n    with ZEROS_CSV.open() as f:\n        f.readline()\n        return np.array([float(line.split(\",\")[1]) for line in f])\n\n\ndef force(x):\n    \"\"\"dx_j/dt = 2 * sum_{k != j} 1/(x_j - x_k), pairwise-vectorized.\"\"\"\n    d = x[None, :] - x[:, None]          # d[j, k] = x_k - x_j\n    np.fill_diagonal(d, np.inf)\n    return -2.0 * np.sum(1.0 / d, axis=1)\n\n\ndef main() -> int:\n    if CSV.exists() and \"--force\" not in __import__(\"sys\").argv:\n        print(f\"cached: {CSV.exists()} (use --force to recompute)\")\n        return 0\n    t0 = time.time()\n    gam = load_zeros()\n    gaps = np.diff(gam)\n\n    # ---- Part 1: two-body collision-time distribution\n    tc = gaps ** 2 / 8.0                 # backward time |t_c| to collision\n    order = np.argsort(tc)\n    spread = tc.max() / tc.min()\n    stats = {\n        \"n_gaps\": int(len(gaps)),\n        \"tc_min\": float(tc.min()),\n        \"tc_median\": float(np.median(tc)),\n        \"tc_max\": float(tc.max()),\n        \"spread_orders\": float(np.log10(spread)),\n        \"binding_pair_index\": int(order[0]) + 1,   # 1-based zero index j of pair (j, j+1)\n        \"binding_gap\": float(gaps[order[0]]),\n        \"mean_gap\": float(gaps.mean()),\n        \"min_gap\": float(gaps.min()),\n        \"max_gap\": float(gaps.max()),\n    }\n\n    # ---- Part 2: full backward ODE on first N_ODE zeros\n    x0 = gam[:N_ODE].copy()\n\n    def rhs(t, x):\n        return force(x)\n\n    def event(t, x):\n        return np.diff(x).min() - GAP_TOL\n    event.terminal = True\n    event.direction = 1   # integrating backward (t decreasing): gap shrinks\n\n    t_span = (0.0, -10.0 * tc[: N_ODE - 1].min())\n    sol = solve_ivp(rhs, t_span, x0, method=\"DOP853\", events=event,\n                    rtol=1e-11, atol=1e-13, dense_output=False)\n    t_coll_ode = float(sol.t[-1])\n    x_end = sol.y[:, -1]\n    end_gaps = np.diff(x_end)\n    j_coll = int(np.argmin(end_gaps))\n    # two-body prediction: binding pair within the ODE window\n    j_tb = int(np.argmin(gaps[: N_ODE - 1]))\n    t_coll_tb = -float(gaps[j_tb] ** 2 / 8.0)\n    ode_stats = {\n        \"n_ode_zeros\": N_ODE,\n        \"t_collision_ode\": t_coll_ode,\n        \"colliding_pair_index\": j_coll + 1,\n        \"two_body_pair_index\": j_tb + 1,\n        \"t_collision_two_body\": t_coll_tb,\n        \"ratio_ode_over_two_body\": t_coll_ode / t_coll_tb if t_coll_tb else None,\n        \"same_pair\": bool(j_coll == j_tb),\n        \"terminated_on_event\": bool(sol.status == 1),\n    }\n\n    check_v1 = bool(stats[\"spread_orders\"] >= 4.0)\n    check_v2 = bool(ode_stats[\"terminated_on_event\"] and\n                    0.25 <= ode_stats[\"ratio_ode_over_two_body\"] <= 4.0)\n    check_v3 = bool(ode_stats[\"same_pair\"])\n    checks = {\n        \"V1_spread_ge_4_orders\": check_v1,\n        \"V2_ode_vs_two_body_factor4\": check_v2,\n        \"V3_smallest_gap_collides_first\": check_v3,\n    }\n\n    with CSV.open(\"w\", encoding=\"utf-8\", newline=\"\") as f:\n        f.write(\"pair_index_j,gap,two_body_collision_time_abs\\n\")\n        for j in range(len(gaps)):\n            f.write(f\"{j + 1},{gaps[j]:.17e},{tc[j]:.17e}\\n\")\n\n    meta = {\n        \"experiment\": \"E-012\",\n        \"task\": \"3.3: de Bruijn-Newman heat-flow toy (D-021 illustration)\",\n        \"description\": \"Two-body Rodgers-Tao collision times from E-002 \"\n                       \"gaps (10^4 zeros) + full all-to-all backward ODE on \"\n                       \"first 300 zeros; extremal-vs-averaged mismatch\",\n        \"script\": \"research/numerics/scripts/E-012-dbn-heat-flow-toy.py\",\n        \"parameters\": {\"n_zeros\": len(gam), \"n_ode\": N_ODE},\n        \"checks\": checks,\n        \"key_values\": {**stats, **ode_stats},\n        \"caveats\": [\n            \"toy conventions: gammas used directly as H_0 zero \"\n            \"coordinates; absolute t_c convention-dependent \u2014 only the \"\n            \"spread and ordering carry the argument\",\n            \"two-body truncation ignores many-body forces; Part 2 ODE \"\n            \"quantifies the correction on the binding window\",\n        ],\n        \"elapsed_seconds\": round(time.time() - t0, 1),\n        \"timestamp_utc\": datetime.now(timezone.utc).isoformat(),\n        \"row_count\": int(len(gaps)),\n    }\n    JSON.write_text(json.dumps(meta, indent=2), encoding=\"utf-8\")\n    ok = all(checks.values())\n    print(f\"spread: {stats['spread_orders']:.1f} orders; \"\n          f\"t_c min {stats['tc_min']:.3e} vs median {stats['tc_median']:.3e}\")\n    print(f\"ODE first collision at t={t_coll_ode:.6e} (pair {j_coll + 1}); \"\n          f\"two-body {t_coll_tb:.6e} (pair {j_tb + 1}); \"\n          f\"ratio {ode_stats['ratio_ode_over_two_body']:.3f}\")\n    print(f\"wrote {CSV.name}, {JSON.name} \u2014 \"\n          f\"{'ALL CHECKS PASS' if ok else 'CHECK FAILURE: ' + str(checks)}\")\n    return 0 if ok else 1\n\n\nif __name__ == \"__main__\":\n    raise SystemExit(main())\n"
}

{
  "pattern": "T4|\u03be\u2032|xi'",
  "path": "D:\\Python\\Quantum\\research\\derivations\\D-006-sharpness-conditional.md",
  "output_mode": "content",
  "-n": true,
  "-C": 4
}

{
  "command": "cd \"D:/Python/Quantum\" && ls research/numerics/scripts/ | grep E-001 && grep -n \"def \\|R_psi\\|R(\\|formula\" research/numerics/scripts/E-001-window-constants.py | head -20",
  "description": "Find R(psi) formula in E-001 script"
}

{
  "file_path": "D:\\Python\\Quantum\\research\\derivations\\D-022-xiprime-analogue.md",
  "content": "# D-022 \u2014 Thread T4: the \u03be\u2032-analogue \u2014 why is the method stronger on \u03be\u2032?\nDate: 2026-08-17 | Session: 004 | Fork 4 of 4 (\u00a78.4a)\nStatus: complete \u2014 mechanism identified and numerically reproduced (E-013);\nportability verdict: NOT portable to \u03be. Thread T4 CLOSED; T4b opened.\n\n## Question\nThe paper's method certifies 2/3 (simple+on-line) for \u03be but 0.85838/0.86864\nfor \u03be\u2032 (Remark 7.1). D-013 item 4 + G-001 salvage asked: WHY \u2014 does the\nextra derivative break the s\u2082/p substitution symmetry, and is the structure\nportable back to \u03be?\n\n## 1. The s\u2082/p symmetry does NOT break (correction to G-001 salvage)\nThe G-001 substitution argument is measurement-side: bandwidth-one\n2-moment data see zero locations/multiplicities only, and an on-line\ndouble \u2261 an off-line pair at depth \u03b4\u21920 in every such datum \u2014 regardless of\nWHICH entire function the zeros belong to. Applied to \u03be\u2032-zero\nconfigurations the argument is unchanged. The strength gain therefore\ncannot come from the adversary side; it must come from the data side.\n\n## 2. The actual mechanism (from zeta-23-lean Zeta23/XiPrime)\nThe \u03be\u2032 certificate uses the coefficient family\n  b_N = C(N; L_T),   C(N;\u039b\u22c6) = \u2212\u039b(N) + \u03a3_{j<\u03a9 N} \u039b\u22c6^{\u2212(j+1)} lamLogConv_j(N),\n  L_T = l/2 + i\u03c0/4,   l = log(T/2\u03c0).\nLeading structure: C \u2248 \u2212\u039b + (\u039b\u00b7log)/L_T, with Re(1/L_T) ~ 2/l. On the\ndiagonal (primes p ~ e^{sl}, so \u039b(p) = log p = sl):\n  C(p) \u2248 \u2212sl + (2/l)(sl)\u00b2 = sl(2s \u2212 1)\n\u27f9 the diagonal second-moment law is a PERFECT SQUARE with a node:\n  D\u2081(s) = s \u2212 4s\u00b2 + 4s\u00b3 \u2212 \u2026 \u2248 s(1 \u2212 2s)\u00b2   (higher terms fill the node\n  to D\u2081(\u00bd)/\u00bd \u2248 0.089).\nInterpretation: the derivative contributes the (\u039b\u00b7log) partner whose\ndiagonal ANTI-CANCELS the \u2212\u039b diagonal at prime scale p ~ e^{l/2} =\n\u221a(T/2\u03c0). The pair kernel of the R-functional (E-001: R = [\u222b\u03c8\u00b2 +\n\u222cK(|u\u2212v|)\u03c8\u03c8]/(\u222b\u03c8)\u00b2 with K = s for \u03be) becomes K = D\u2081.\n\n## 3. Quantitative confirmation (E-013, all checks pass)\nR with kernel D\u2081 (series, c_k = 2\u00b74^{k+1}k!/(2k+2)!):\n- flat window:   2 \u2212 R = 0.85838496  vs certified 0.85838  (5e-6 above)\n- quartic window: 2 \u2212 R = 0.86864152  vs certified 0.86864  (2e-6 above)\n- bookkeeping identity: pair integral 1/3 \u2192 0.14162 equals the\n  certificate gain 0.85838 \u2212 2/3 exactly (V3c).\n- sanity: same code with kernel s gives R = 4/3 (V4).\nSo Remark 7.1's constants are reproduced from first principles, and the\nentire gain over 2/3 is the pair-integral reduction caused by the node.\n\n## 4. Portability verdict: NOT portable to \u03be\nThe cancellation requires the (\u039b\u00b7log) partner, which IS the derivative\n(log-derivative differentiation). Injecting a log-weight into the \u03be\ncertificate = differentiating the kernel = computing a \u03be\u2032 moment \u2014 one\ncertifies \u03be\u2032 zeros, not \u03be zeros. There is no \u03be-side coefficient family\nwith a tunable anti-correlating partner (b_N = \u039b(N) is forced). Hence:\nthe \u03be\u2032 gain is real but function-specific; Track A's \u03be-walls (W1\u2013W6,\nD-013) are unaffected.\n\n## 5. Corollaries and open threads\n- \u03be\u2032-world is nearly saturated: 0.86864 simple+on-line vs Wu's 0.86957\n  on-line-only [Wu15] \u2014 headroom ~ 1e-3. Not a promising push target.\n- **T4b (OPEN):** higher derivatives \u03be\u207d\u1d4f\u207e. The node mechanism should\n  iterate: C^{(k)} involves (\u2212\u039b + c\u2081(\u039b\u00b7log)/l + c\u2082(\u039b\u00b7log\u00b2)/l\u00b2 + \u2026) \u2014\n  more cancellation partners, plausibly more nodes in the diagonal law,\n  stronger constants. Costs: zeros of \u03be\u207d\u1d4f\u207e are less classical (no\n  Levinson\u2013Montgomery pairing control for k \u2265 2?), and any \u03be\u207d\u1d4f\u207e\n  certificate certifies \u03be\u207d\u1d4f\u207e zeros only. Worth one scoping pass if a\n  Track A result past the paper is ever needed for its own sake.\n- Also open: the \u03be\u2032 bandwidth-one CEILING (LawN256 analogue for kernel\n  D\u2081) \u2014 is 0.86864 near the \u03be\u2032-world optimum? Cheap finite-program\n  computation, mirror of T3.\n\n## 6. Adversarial review\n- D-H/Epstein gate: E-013 is a reproduction of a proved result, not a new\n  certificate \u2014 gate N/A. Note the D\u2081 node relies on the \u039b-vs-\u039b\u00b7log\n  diagonal correlation (prime-specific arithmetic input); for\n  Davenport\u2013Heilbronn-type analogues the same machinery would need its\n  own diagonal law \u2014 no shortcut to RH claimed.\n- The \"perfect square\" is the leading three terms; higher-order terms\n  fill the node to \u2248 0.089 (measured). Mechanism claims are stated at\n  leading order; constants themselves are exact series computations.\n"
}

{
  "type": "create",
  "filePath": "D:\\Python\\quantum-deploy\\docroot\\app\\web\\dashboard\\templatetags\\usdate.py",
  "content": "\"\"\"Template filter: render ISO dates/datetimes as MM-DD-YYYY (US style).\"\"\"\nimport re\n\nfrom django import template\n\nregister = template.Library()\n\n_ISO_DATE = re.compile(r\"(\\d{4})-(\\d{2})-(\\d{2})\")\n\n\n@register.filter\ndef usdate(value):\n    \"\"\"'2026-08-17[THH:MM:SS+00:00]' -> '08-17-2026'.\n    Anything not starting with an ISO date passes through unchanged.\"\"\"\n    text = str(value or \"\")\n    m = _ISO_DATE.match(text.strip())\n    if not m:\n        return text\n    return f\"{m.group(2)}-{m.group(3)}-{m.group(1)}\"\n",
  "structuredPatch": [],
  "originalFile": null
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{
  "file_path": "D:\\Python\\Quantum\\research\\derivations\\D-020-W-zeros-analysis.md"
}

{
  "type": "text",
  "file": {
    "filePath": "D:\\Python\\Quantum\\research\\derivations\\D-020-W-zeros-analysis.md",
    "content": "# D-020 \u2014 E-010 analysis: zeros of Suzuki's W(a,\u03b8;z) \u2014 lattice law, no \u03b3-locking yet\nDate: 2026-08-17 | Session: 003 | Task: 3.4c cont. | Status: complete\nInputs: E-010 (numerics), D-018/D-019 (scoping/analysis), Suzuki\narXiv:2606.09096v1 (eq. 1.11, Thm 1.5, Cor 1.6).\n\n---\n\n## 1. What E-010 computed\nDeficiency vectors v_\u00b1 from the E-009b-validated Galerkin machinery:\n(T_a v_\u00b1)(x) = e^{\u00b1x} solved as bordered mean-zero systems\n(Q \u2212 \u03bbM)c = b_\u00b1; W(a,\u03b8;z) per eq. 1.11 using v\u208b(x) = v\u208a(\u2212x)\n(symmetry verified to 7e-14; T-norms agree to 1e-13; \u03b8=0 real gauge\nexact). Zeros on (0, 60] by sign-change + brentq with direct W\nevaluation. Configs: a \u2208 {2,4,6,7}, \u03b8 \u2208 {0, \u03c0/2, \u03c0}, \u03bb \u2208 {\u22120.5,\u22121,\u22122},\nh-convergence at a=4.\n\n## 2. Findings\n\n**(F1) Lattice law.** Zeros of W(a,\u03b8;z) form a near-perfect lattice:\n  z_j(a,\u03b8) \u2248 s(a)\u00b7j + \u03ba(a,\u03b8),   s(a) = (\u03c0/a)(1 + \u03c1(a)),\nwith \u03c1(a) \u2248 0.0063 (a=2), 0.0014 (a=4), 0.00066 (a=6), 0.00079 (a=7)\n\u2014 a g-induced renormalization of the free i d/dx lattice (spacing \u03c0/a),\ndecaying roughly like C/a\u00b2 with C \u2248 0.02\u20130.03. \u03b8 shifts the offset\n\u03ba(a,\u03b8) as expected for a boundary-phase condition (\u03b8=0: \u03ba\u22480;\n\u03b8=\u03c0/2: +0.20; \u03b8=\u03c0: +0.34 at a=4 \u2014 consistent with \u03ba sweeping one full\nspacing over \u03b8 \u2208 [0, 2\u03c0)).\n\n**(F2) \u03bb-independence.** Zeros at a=4 move by \u2264 2e-4 between\n\u03bb \u2208 {\u22120.5, \u22121, \u22122} \u2014 consistent with the abstract expectation that the\nextension spectra do not depend on the arbitrary shift \u03bb (small drift\nattributed to discretization; h-convergence: z\u2081 rel change 4e-4 between\nh = 0.01 and 0.005).\n\n**(F3) No \u03b3-locking at a \u2264 7.** Lattice residuals (z_j \u2212 fitted lattice)\nare concentrated at LOW z (|res| max at z \u2272 9) and are smooth; at the\npositions j \u2248 a\u03b3\u2081/\u03c0 there is no enhanced structure for a = 4, 6, 7\n(a=2 shows a single 6e-2 blip at j\u22489 \u2248 a\u03b3\u2081/\u03c0 \u2014 likely a small-a\ntransient; does not persist). For \u03b8 \u2208 {0, \u03c0/2, \u03c0}, no zero is attracted\ntoward \u03b3\u2081 = 14.13, \u03b3\u2082 = 21.02 within the measured range.\n\n**(F4) Density bookkeeping (important for interpreting Cor 1.6).**\nW(a,\u03b8;\u00b7) has ~2aT/\u03c0 zeros in [0,T] \u2014 far MORE than z\u00b2\u03be(\u00bd\u2212iz)/\u03be\u2032(\u00bd\u2212iz)\n(~T log T/2\u03c0). Since e^{\u03c6} cannot remove zeros unless \u03c6 has logarithmic\nsingularities, the \u03c6(a,z) of Cor 1.6 must effectively act as a canonical\nfactor cancelling all but the zeta-aligned zeros (or moving them off\ncompacts). Consequence for numerics: raw zero positions of W are NOT\nthe right observable for the Cor 1.6 limit; the right one is a\nnormalized ratio such as\n  R_a(z) := W(a,\u03b8;z) / W(a,\u03b8;z\u2080)  (or log-derivative W\u2032/W)\nevaluated at z = \u03b3_j, tracking whether R_a(\u03b3_j) \u2192 0 with a for the\nRIGHT \u03b8(a). Requires: a candidate \u03b8(a) rule (Q-S3 remains the crux).\n\n## 3. Interpretation / honesty notes\n- E-010 validates the FULL pipeline (deficiency vectors, W, real zeros)\n  against every internal check \u2014 the machinery is sound and reusable.\n- The negative content (no \u03b3-locking at a \u2264 7, fixed \u03b8) is EXPECTED\n  in hindsight given F4: the zeta content of W is in the fine structure\n  of the lattice perturbation and in the \u03b8-dependence, not in raw\n  positions at small a.\n- The a=2 blip near \u03b3\u2081 is noted but discounted (no persistence at\n  larger a; would need \u03b8(a)-tracking to confirm).\n\n## 4. Next steps on the Suzuki line (queued, prioritized)\n1. **Q-S3 attack (the crux):** find a principled \u03b8(a). Candidates:\n   (i) match the normalization of Cor 1.6 directly \u2014 demand\n   e^{\u03c6}W \u2192 z\u00b2\u03be/\u03be\u2032 in L\u00b2 on a compact set and READ OFF \u03b8(a), \u03c6(a,z)\n   (least-squares in \u03b8, \u03c6 = polynomial in z of growing degree \u2014 the\n   density bookkeeping F4 says \u03c6 must supply the cancellation);\n   (ii) consult Suzuki's \u00a77\u20138 for any canonical \u03b8 prescription;\n   (iii) Kim et al. (2607.24830) may have a specific extension choice \u2014\n   check their numerical setup.\n2. Zero-tracking diagnostic: follow the zero nearest \u03b3\u2081 across\n   a = 2..12 for several \u03b8 rules; measure |z(a) \u2212 \u03b3\u2081| decay.\n3. If (1) yields \u03b8(a): test Cor 1.6 convergence directly on compacts.\n\n## 5. Status\nE-010 complete and archived. Suzuki line state: machinery validated;\nlattice law measured; the path to Cor 1.6 runs through Q-S3 (\u03b8(a)).\nNo obstruction \u2014 this is an OPEN, well-posed next problem, not a wall.",
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  "path": "D:\\Python\\Quantum\\research\\paper\\suzuki-2606.09096.txt",
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  "-A": 20
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    "filePath": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiCrux.lean",
    "content": "    rw [hLiExt_of_ne hs0]\n    have hh : hLi (1 + s) = 1 - s * (deriv zetaA (1 + s) / zetaA (1 + s)) := by\n      rw [hLi]\n      ring_nf\n    rw [hh]\n    have hX : (1 - (1 - s * (deriv zetaA (1 + s) / zetaA (1 + s)))) / s =\n        deriv zetaA (1 + s) / zetaA (1 + s) := by\n      have e : 1 - (1 - s * (deriv zetaA (1 + s) / zetaA (1 + s))) =\n          s * (deriv zetaA (1 + s) / zetaA (1 + s)) := by ring\n      rw [e, mul_div_cancel_left\u2080 _ hs0]\n    rw [hX]\n    have hzeq : (fun w : \u2102 => (w - 1) * riemannZeta w) =\u1da0[\ud835\udcdd (1 + s)] zetaA := by\n      filter_upwards [eventually_ne_nhds hs1'] with z hz\n      exact (zetaA_apply hz).symm\n    have hderiv_zetaA : deriv zetaA (1 + s) =\n        riemannZeta (1 + s) + s * deriv riemannZeta (1 + s) := by\n      rw [\u2190 hzeq.deriv_eq]\n      have hsplit : (fun w : \u2102 => (w - 1) * riemannZeta w) =\n          (fun w : \u2102 => w - 1) * riemannZeta := rfl\n      have hf : DifferentiableAt \u2102 (fun w : \u2102 => w - 1) (1 + s) := differentiableAt_id.sub_const 1\n      rw [hsplit, deriv_mul hf (differentiableAt_riemannZeta hs1')]\n      have h1 : deriv (fun w : \u2102 => w - 1) (1 + s) = 1 := by\n        simp using ((hasDerivAt_id' (1 + s)).sub_const 1).deriv\n      rw [h1]\n      ring",
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{
  "file_path": "D:\\Python\\Quantum\\research\\numerics\\scripts\\E-014-cor16-diagnostics.py",
  "old_string": "def g_float(t):\n    t = np.asarray(t, dtype=float)\n    g = -4.0 * (np.exp(t / 2) + np.exp(-t / 2) - 2.0)\n    g += prime_sum_vec(t)\n    g += DIG_COEFF * t\n    g += lerch_comb(t)\n    g[t == 0.0] = 0.0\n    return g\n\n\ndef F_sing(t):\n    if t <= 0:\n        return 0.0\n    return (A_CONST * t**3 / 6.0 + t**3 * np.log(t) / 12.0\n            - 5.0 * t**3 / 72.0)\n\n\ndef S_sing(k, h):\n    return (F_sing((k + 1) * h) - 2.0 * F_sing(k * h)\n            + F_sing(abs(k - 1) * h))\n\n\nXN, XW = leggauss(GL_N)\n\n\ndef S(k, h):\n    lo, hi = (k - 1) * h, (k + 1) * h\n    def quad(a, b, peak):\n        mid = 0.5 * (a + b)\n        xs = mid + 0.5 * (b - a) * XN\n        return 0.5 * (b - a) * float(g_float(np.abs(xs)) @ XW)\n    return (quad(max(lo, 0), min(hi, k * h), 0)\n            + quad(min(hi, 2 * k * h), hi, 0)\n            + S_sing(k, h)) if k > 0 else (quad(0, h, 0) + S_sing(0, h))\n\n\n# E-010's S: integrate g on [(k-1)h,(k+1)h] with peak at kh; keep their form\ndef S_full(k, h):\n    lo, hi = (k - 1) * h, (k + 1) * h\n    if k == 0:\n        mid = h / 2\n        xs = mid + (h / 2) * XN\n        val = (h / 2) * float(g_float(np.abs(xs)) @ XW)\n        return 2 * val + S_sing(0, h)\n    tot = 0.0\n    for a, b in ((lo, k * h), (k * h, hi)):\n        mid = 0.5 * (a + b)\n        xs = mid + 0.5 * (b - a) * XN\n        tot += 0.5 * (b - a) * float(g_float(np.abs(xs)) @ XW)\n    return tot + S_sing(k, h)",
  "new_string": "def g_float(t):\n    t = np.asarray(t, dtype=float)\n    g = -4.0 * (np.exp(t / 2) + np.exp(-t / 2) - 2.0)\n    g += prime_sum_vec(t)\n    g += DIG_COEFF * t\n    g += lerch_comb(t)\n    g[t == 0.0] = 0.0\n    return g\n\n\nA_CONST = 0.5 * (np.log(2 * np.pi) + np.euler_gamma - 1.0)\n\n\ndef sigma_vec(t):\n    t = np.asarray(t, dtype=float)\n    with np.errstate(divide=\"ignore\", invalid=\"ignore\"):\n        return np.where(t > 0, 0.5 * t * np.log(t) + A_CONST * t, 0.0)\n\n\ndef F_sing(t):\n    if t <= 0:\n        return 0.0\n    return (A_CONST * t**3 / 6.0 + t**3 * np.log(t) / 12.0\n            - 5.0 * t**3 / 72.0)\n\n\ndef S_sing(k, h):\n    return (F_sing((k + 1) * h) - 2.0 * F_sing(k * h)\n            + F_sing(abs(k - 1) * h))\n\n\nXN, XW = leggauss(GL_N)\n\n\ndef S_full(k, h):\n    \"\"\"E-010's S verbatim: hat-weighted integral of (g - sigma) with\n    prime-point splitting, plus analytic singular part.\"\"\"\n    def quad(lo, hi, peak):\n        n_lo = int(np.ceil(np.exp(lo)))\n        n_hi = int(np.floor(np.exp(hi)))\n        pts = sorted({lo, peak, hi} |\n                     {float(np.log(n))\n                      for n in range(max(n_lo, 2), n_hi + 1)\n                      if lo < np.log(n) < hi})\n        tot = 0.0\n        for p0, p1 in zip(pts, pts[1:]):\n            if p1 - p0 <= 0:\n                continue\n            mid, half = 0.5 * (p0 + p1), 0.5 * (p1 - p0)\n            xs = mid + half * XN\n            rho = g_float(xs) - sigma_vec(xs)\n            tot += half * float(np.dot(XW, (h - np.abs(xs - peak)) * rho))\n        return tot\n\n    if k == 0:\n        return S_sing(0, h) + 2.0 * quad(0.0, h, 0.0)\n    return S_sing(k, h) + quad((k - 1) * h, (k + 1) * h, k * h)"
}

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border-radius: 6px;\n  padding: 2px 10px; margin-right: 10px; font-size: 17px; line-height: 1.4;\n}\n#nav-backdrop { display: none; }\n#content { margin-left: 240px; padding: 0 34px 60px; max-width: 1180px; }\n#topbar {\n  position: sticky; top: 0; z-index: 5;\n  background: var(--bg); border-bottom: 1px solid var(--border);\n  padding: 10px 0; margin-bottom: 20px;\n  font-size: 13px; color: var(--muted);\n  display: flex; align-items: center; gap: 10px;\n}\n#topbar-task {\n  color: var(--text);\n  flex: 1; min-width: 0;\n  overflow: hidden; text-overflow: ellipsis; white-space: nowrap;\n}\n.top-search { display: flex; gap: 6px; flex-shrink: 0; }\n.top-search input {\n  width: 210px; background: #10151f; color: var(--text);\n  border: 1px solid var(--border); border-radius: 6px;\n  padding: 5px 10px; font-size: 13px;\n}\n.top-search button { padding: 5px 12px; font-size: 13px; }\n.topbar-label { font-weight: 600; margin-right: 6px; }\n\n/* content links (class-less anchors in cards/body text) */\n#content a:not([class]) { color: #8fbfff; text-decoration: none; }\n#content a:not([class]):hover { color: #c4dcff; text-decoration: underline; }\n\nh1 { font-size: 26px; margin: 10px 0 14px; }\nh2 { font-size: 19px; margin: 6px 0 12px; color: #eaf0f8; }\nh3 { font-size: 15px; margin: 16px 0 8px; color: #c8d2e0; }\ncode { font-family: var(--mono); font-size: 13px; color: #9ecbff; }\n.muted { color: var(--muted); }\n.wrap { word-break: break-word; }\n\n.hero { padding: 26px 0 6px; }\n.hero h1 { font-size: 38px; margin-bottom: 6px;\n  background: linear-gradient(90deg, var(--accent), var(--accent2));\n  -webkit-background-clip: text; background-clip: text; color: transparent; }\n.hero-sub { font-size: 17px; color: var(--muted); max-width: 760px; }\n.credits { display: flex; gap: 26px; flex-wrap: wrap; margin: 14px 0 4px; }\n.credits div { display: flex; gap: 7px; align-items: baseline; }\n.credits dt { color: var(--muted); font-size: 13px; }\n.credits dd { margin: 0; font-weight: 600; color: #eaf0f8; font-size: 14px; }\n\n.card {\n  background: var(--bg-card); border: 1px solid var(--border);\n  border-radius: 10px; padding: 18px 22px; margin: 16px 0;\n}\n.grid-2 { display: grid; grid-template-columns: 1fr 1fr; gap: 0 20px; }\n@media (max-width: 1000px) { .grid-2 { grid-template-columns: 1fr; } }\n\n/* ---------- mobile sidebar (off-canvas \u2264 900px) ---------- */\n@media (max-width: 900px) {\n  #sidebar {\n    transform: translateX(-105%);\n    transition: transform .2s ease-in-out;\n    z-index: 20;\n  }\n  body.nav-open #sidebar { transform: none; box-shadow: 0 0 40px rgba(0,0,0,.6); }\n  #nav-toggle { display: inline-block; }\n  #nav-backdrop {\n    position: fixed; inset: 0; z-index: 15;\n    background: rgba(0,0,0,.5);\n  }\n  body.nav-open #nav-backdrop { display: block; }\n  #content { margin-left: 0; padding: 0 16px 60px; }\n  .top-search input { width: 120px; }\n  .topbar-label { display: none; }\n}\n\n.track-grid { display: grid; grid-template-columns: repeat(auto-fit, minmax(220px, 1fr)); gap: 14px; }\n.track { background: #151d2b; 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}\n\n.tbl { width: 100%; border-collapse: collapse; font-size: 13.5px; }\n.tbl th, .tbl td { text-align: left; padding: 7px 10px; border-bottom: 1px solid var(--border); vertical-align: top; }\n.tbl th { color: var(--muted); font-weight: 600; font-size: 12px; text-transform: uppercase; letter-spacing: .4px; }\n.tbl a { color: var(--accent); text-decoration: none; }\n.tbl a:hover { text-decoration: underline; }\n.table-scroll { overflow-x: auto; }\n.table-scroll .tbl td { font-family: var(--mono); font-size: 12px; white-space: nowrap; }\n\n.tag {\n  display: inline-block; font-size: 11.5px; font-weight: 600;\n  border-radius: 10px; padding: 1px 9px; white-space: nowrap;\n}\n.tag-ok   { background: #14301f; color: var(--ok); border: 1px solid var(--ok); }\n.tag-cond { background: #2e2a12; color: var(--warn); border: 1px solid var(--warn); }\n.tag-num  { background: #152438; color: var(--accent); border: 1px solid var(--accent); }\n.tag-run  { background: #241a38; color: var(--accent2); border: 1px solid var(--accent2); 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}\n.md h1, .md h2, .md h3 { color: #eaf0f8; }\n.md pre { background: #10151f; border: 1px solid var(--border); border-radius: 8px; padding: 12px; overflow-x: auto; }\n.md code { font-size: 12.5px; }\n.md blockquote { border-left: 3px solid var(--accent2); margin: 10px 0; padding: 2px 14px; color: var(--muted); }\n.math-line { overflow-x: auto; }\n\n/* checklist task markers ([x] / [~] / [ ]) \u2014 colored boxes */\n.tkm { display: inline-block; border: 1px solid; border-radius: 4px;\n       padding: 0 4px; margin-right: 2px; font-weight: 700; line-height: 1.35; }\n.tkm-x { color: #58a6ff; border-color: #58a6ff; background: rgba(88,166,255,.12); }\n.tkm-tilde { color: #e3b341; border-color: #e3b341; background: rgba(227,179,65,.10); }\n.tkm-open { color: #9da7b3; border-color: #6e7681; background: rgba(110,118,129,.10); }\n.tkm-check { color: #58a6ff; font-weight: 700; }\n\n.fb-form label, .fb-search { display: block; margin: 10px 0; font-size: 13.5px; }\n.fb-form input, .fb-form select, .fb-form textarea,\n.fb-search input, .fb-search select {\n  display: block; width: 100%; margin-top: 4px;\n  background: #10151f; color: var(--text);\n  border: 1px solid var(--border); border-radius: 6px; padding: 8px 10px;\n  font: inherit;\n}\n.fb-search { display: grid; grid-template-columns: 2fr 1fr 1fr auto; gap: 8px; align-items: end; }\nbutton {\n  background: var(--accent); color: #06121f; border: 0; border-radius: 6px;\n  padding: 9px 18px; font-weight: 700; cursor: pointer; font-size: 14px;\n}\nbutton:hover { filter: brightness(1.1); }\n.fb-item { border-top: 1px solid var(--border); padding: 12px 0; }\n\n/* global search */\n.search-form { display: flex; gap: 8px; margin: 14px 0 20px; max-width: 720px; }\n.search-form input[type=\"text\"] {\n  flex: 1; background: #10151f; color: var(--text);\n  border: 1px solid var(--border); border-radius: 6px; padding: 8px 10px;\n  font: inherit;\n}\n.search-hit { margin-bottom: 12px; }\n.search-hit-head { margin-bottom: 4px; font-size: 14px; }\n.search-hit-head a { color: var(--accent); text-decoration: none; font-weight: 600; }\n.search-hit-head a:hover { text-decoration: underline; }\n.snippet {\n  background: #10151f; border: 1px solid var(--border); border-radius: 6px;\n  padding: 5px 10px; margin: 6px 0; font-family: var(--mono);\n  font-size: 12.5px; white-space: pre-wrap; word-break: break-word;\n  color: var(--muted);\n}\n.snippet-ln { color: var(--accent2); margin-right: 8px; user-select: none; }\n.snippet mark { background: #4a3d10; color: #ffe08a; border-radius: 2px; padding: 0 1px; }\n\n/* spreadsheet data tables (scripts & data) */\n.pager { display: flex; gap: 14px; align-items: center; margin: 4px 0 8px; font-size: 13px; }\n.pager a { color: var(--accent); text-decoration: none; font-weight: 600; }\n.pager a:hover { text-decoration: underline; }\n.sheet {\n  overflow: auto; max-height: 72vh;\n  border: 1px solid var(--border); border-radius: 6px;\n}\n.sheet table { border-collapse: separate; border-spacing: 0; font-family: var(--mono); font-size: 12.5px; }\n.sheet th, .sheet td { padding: 3px 14px; 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}\ndetails.perim > summary { line-height: 1.5; }\n.fb-head { display: flex; gap: 10px; align-items: center; flex-wrap: wrap; margin-bottom: 4px; }\n.fb-notes { color: var(--muted); font-size: 13.5px; }\n\n.messages { margin: 10px 0; }\n.msg { padding: 10px 14px; border-radius: 8px; margin: 6px 0; }\n.msg.success { background: #14301f; border: 1px solid var(--ok); }\n.msg.error { background: #331818; border: 1px solid var(--fail); }\n\n.log-row:hover { background: #1d2635; }\n.freshness { font-size: 12.5px; }\n\n/* ---------- conversations ---------- */\n.msgcard {\n  background: var(--bg-card); border: 1px solid var(--border);\n  border-radius: 10px; padding: 12px 18px; margin: 12px 0;\n}\n.msg-user { border-left: 4px solid var(--accent2); }\n.msg-assistant { border-left: 4px solid var(--accent); }\n.msg-head { display: flex; gap: 12px; align-items: center; flex-wrap: wrap;\n  margin-bottom: 8px; font-size: 13px; }\n.msg-id { font-family: var(--mono); color: var(--muted); }\n.role-badge { font-size: 11.5px; font-weight: 700; border-radius: 10px; padding: 1px 9px; }\n.role-user { background: #241a38; color: var(--accent2); border: 1px solid var(--accent2); }\n.role-assistant { background: #152438; color: var(--accent); border: 1px solid var(--accent); }\n.msg-open { margin-left: auto; color: var(--accent); text-decoration: none; font-size: 12.5px; }\n.msg-open:hover { text-decoration: underline; }\n\n.msgtext { white-space: pre-wrap; word-break: break-word; margin: 8px 0; }\n\ndetails.think, details.tool, details.rawjson {\n  border: 1px solid var(--border); border-radius: 8px;\n  margin: 8px 0; background: #121824;\n}\ndetails.think summary, details.tool summary, details.rawjson summary {\n  cursor: pointer; padding: 8px 12px; font-size: 13px; color: var(--muted);\n  user-select: none;\n}\ndetails.think summary:hover, details.tool summary:hover { color: var(--text); }\n.think-body {\n  padding: 4px 14px 12px; white-space: pre-wrap; word-break: break-word;\n  color: #b8a7e8; font-style: italic; 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    {
      "oldStart": 198,
      "oldLines": 13,
      "newStart": 198,
      "newLines": 14,
      "lines": [
        " .md blockquote { border-left: 3px solid var(--accent2); margin: 10px 0; padding: 2px 14px; color: var(--muted); }",
        " .math-line { overflow-x: auto; }",
        " ",
        "-/* checklist task markers ([x] / [~] / [ ]) \u2014 colored boxes */",
        "-.tkm { display: inline-block; border: 1px solid; border-radius: 4px;",
        "-       padding: 0 4px; margin-right: 2px; font-weight: 700; line-height: 1.35; }",
        "+/* checklist task markers ([x] / [~] / [ ] / \u2611) \u2014 colored boxes, uniform size */",
        "+.tkm { display: inline-block; min-width: 1.9em; text-align: center;",
        "+       border: 1px solid; border-radius: 4px; padding: 0 3px; margin-right: 2px;",
        "+       font-weight: 700; line-height: 1.35; box-sizing: border-box; }",
        " .tkm-x { color: #58a6ff; border-color: #58a6ff; background: rgba(88,166,255,.12); }",
        " .tkm-tilde { color: #e3b341; border-color: #e3b341; background: rgba(227,179,65,.10); }",
        " .tkm-open { color: #9da7b3; border-color: #6e7681; background: rgba(110,118,129,.10); }",
        "-.tkm-check { color: #58a6ff; font-weight: 700; }",
        "+.tkm-check { color: #58a6ff; border-color: #58a6ff; background: rgba(88,166,255,.12); }",
        " ",
        " .fb-form label, .fb-search { display: block; margin: 10px 0; font-size: 13.5px; }",
        " .fb-form input, .fb-form select, .fb-form textarea,"
      ]
    }
  ],
  "userModified": false,
  "replaceAll": false
}

{
  "command": "cd \"D:/Python/Quantum\" && ./.venv/Scripts/python.exe -c \"\nimport subprocess, sys\nf = open('research/numerics/data/E-014.log', 'w')\np = subprocess.Popen([sys.executable, 'research/numerics/scripts/E-014-cor16-diagnostics.py'],\n                     stdout=f, stderr=subprocess.STDOUT,\n                     creationflags=0x00000008 | 0x00000200)\nprint('detached pid:', p.pid)\n\"",
  "description": "Launch E-014 detached with log file"
}

put /app/web/dashboard/research_data.py (32127 B)
put /app/web/dashboard/static/dashboard/style.css (16101 B)
put /static/dashboard/style.css (16101 B)
put /app/web/dashboard/templates/dashboard/base.html (3635 B)
DONE
uniform boxes: 48 / 8 / 3 (expect 48/8/3)
asset version: True
1

{
  "file_path": "D:\\Python\\Quantum\\research\\numerics\\scripts\\E-014-cor16-diagnostics.py",
  "old_string": "    primes = np.flatnonzero(~is_comp[2:]) + 2\n    lp = np.log(primes)\n    pk = primes.copy()\n    while pk.size and pk[0] <= n_max:\n        lam_log[pk] = lp\n        pk = pk * primes\n        pk = pk[pk <= n_max]\n        lp = lp[: pk.size]\n    return lam_log",
  "new_string": "    primes = np.flatnonzero(~is_comp[2:]) + 2\n    lp = np.log(primes)\n    pk = primes.copy()\n    while pk.size and pk[0] <= n_max:\n        lam_log[pk] = lp\n        pk = pk * primes[: pk.size]\n        keep = pk <= n_max\n        pk = pk[keep]\n        lp = lp[keep]\n    return lam_log"
}

{
  "filePath": "D:\\Python\\Quantum\\web\\dashboard\\research_data.py",
  "oldString": "_TASK_MARK_RE = re.compile(r\"(<li>\\s*(?:<p>)?)(?:\\[(x|~| )\\]|(\u2611))\")\n_TASK_MARK_CLASS = {\"x\": \"x\", \"~\": \"tilde\", \" \": \"open\"}\n\n\ndef _task_mark_span(m):\n    \"\"\"Wrap a leading checklist marker in a styled span (display-only;\n    the marker text itself stays verbatim).\"\"\"\n    if m.group(3) is not None:  # \u2611 done \u2014 blue box, same size as [~]/[ ]\n        return m.group(1) + '<span class=\"tkm tkm-check\">\u2611</span>'\n    cls = _TASK_MARK_CLASS[m.group(2)]\n    return (m.group(1) + '<span class=\"tkm tkm-' + cls + '\">['\n            + m.group(2) + \"]</span>\")\n\n\ndef render_markdown(text):\n    \"\"\"Render markdown, protecting $...$ math spans for MathJax.\"\"\"\n    store = []\n\n    def stash(m):\n        store.append(m.group(0))\n        return f\"@@MATH{len(store) - 1}@@\"\n\n    protected = _MATH_RE.sub(stash, _restore_interrupted_lists(text))\n    html = markdown.markdown(\n        protected, extensions=[\"tables\", \"fenced_code\", \"sane_lists\"])\n    for i, s in enumerate(store):\n        html = html.replace(f\"@@MATH{i}@@\", s)\n    return _TASK_MARK_RE.sub(_task_mark_span, html)",
  "newString": "def render_markdown(text):\n    \"\"\"Render markdown, protecting $...$ math spans for MathJax.\"\"\"\n    store = []\n\n    def stash(m):\n        store.append(m.group(0))\n        return f\"@@MATH{len(store) - 1}@@\"\n\n    protected = _MATH_RE.sub(stash, _restore_interrupted_lists(text))\n    html = markdown.markdown(\n        protected, extensions=[\"tables\", \"fenced_code\", \"sane_lists\"])\n    for i, s in enumerate(store):\n        html = html.replace(f\"@@MATH{i}@@\", s)\n    return html",
  "originalFile": "\"\"\"\nRead-only access layer for the NGUYEN-RH-1 research archive.\n\nHARD RULE (RH-WEBSITE.md \u00a70): every handle opened here is READ-ONLY.\nSQLite is opened with mode=ro; files are opened 'r'. Nothing in this\nmodule may write to REPO_ROOT or RESEARCH_DIR.\n\"\"\"\nimport csv\nimport json\nimport re\nimport sqlite3\nimport subprocess\nfrom datetime import datetime, timezone\nfrom pathlib import Path\n\nimport markdown\nfrom django.conf import settings\n\nREPO = Path(settings.REPO_ROOT)\nRESEARCH = Path(settings.RESEARCH_DIR)\nDATA = RESEARCH / \"numerics\" / \"data\"\nDB = RESEARCH / \"research.db\"\n\nMAX_CHART_POINTS = 3000\nPREVIEW_ROWS = 25\n\n\n# ---------------------------------------------------------------- files\n\ndef read_text(path):\n    return Path(path).read_text(encoding=\"utf-8\", errors=\"replace\")\n\n\ndef mtime(path):\n    p = Path(path)\n    return p.stat().st_mtime if p.exists() else None\n\n\ndef _iso(ts):\n    return datetime.fromtimestamp(ts, tz=timezone.utc).isoformat(timespec=\"seconds\")\n\n\n# ---------------------------------------------------------------- sqlite (read-only)\n\ndef _query(sql, params=()):\n    con = sqlite3.connect(f\"file:{DB}?mode=ro\", uri=True)\n    try:\n        con.row_factory = sqlite3.Row\n        return [dict(r) for r in con.execute(sql, params)]\n    finally:\n        con.close()\n\n\ndef get_results():\n    return _query(\"SELECT * FROM results ORDER BY id\")\n\n\ndef get_experiments():\n    return _query(\"SELECT * FROM experiments ORDER BY id\")\n\n\ndef get_derivations():\n    return _query(\"SELECT * FROM derivations ORDER BY id\")\n\n\ndef get_graveyard():\n    return _query(\"SELECT * FROM graveyard ORDER BY id\")\n\n\ndef get_sessions():\n    return _query(\"SELECT * FROM sessions ORDER BY id\")\n\n\ndef get_result(rid):\n    rows = _query(\"SELECT * FROM results WHERE id = ?\", (rid,))\n    return rows[0] if rows else None\n\n\ndef get_experiment(eid):\n    rows = _query(\"SELECT * FROM experiments WHERE id = ?\", (eid,))\n    return rows[0] if rows else None\n\n\n# ---------------------------------------------------------------- STATE.md / NGUYEN.md\n\ndef parse_state():\n    \"\"\"Split STATE.md into its '## SECTION' blocks.\"\"\"\n    path = REPO / \"STATE.md\"\n    if not path.exists():\n        return {}\n    sections, current = {}, \"_header\"\n    for line in read_text(path).splitlines():\n        m = re.match(r\"^##\\s+(.*)\", line)\n        if m:\n            current = m.group(1).strip()\n            sections[current] = []\n        else:\n            sections.setdefault(current, []).append(line)\n    return {k: \"\\n\".join(v).strip() for k, v in sections.items()}\n\n\ndef parse_checklist():\n    \"\"\"Parse NGUYEN.md \u00a75 phases and their checkbox tasks.\"\"\"\n    path = REPO / \"NGUYEN.md\"\n    if not path.exists():\n        return {\"phases\": [], \"done\": 0, \"partial\": 0, \"open\": 0}\n    text = read_text(path)\n    m = re.search(r\"## 5\\..*?(?=\\n## 6\\.)\", text, re.S)\n    section = m.group(0) if m else text\n\n    phases, phase = [], None\n    totals = {\"done\": 0, \"partial\": 0, \"open\": 0}\n    for line in section.splitlines():\n        pm = re.match(r\"###\\s+(\u2705|\u2b1c|\ud83d\udd36)?\\s*(PHASE\\s+\\d+.*)\", line)\n        if pm:\n            phase = {\"name\": pm.group(2).strip(), \"marker\": pm.group(1) or \"\",\n                     \"done\": 0, \"partial\": 0, \"open\": 0}\n            phases.append(phase)\n            continue\n        tm = re.match(r\"- (?:\\[(x|~| )\\]|(\u2705|\ud83d\udd36|\u2b1c|\u2611|\ud83d\udd38|\u2610))\", line)\n        if tm:\n            if tm.group(1) is not None:\n                key = {\"x\": \"done\", \"~\": \"partial\", \" \": \"open\"}[tm.group(1)]\n            else:\n                key = {\"\u2705\": \"done\", \"\u2611\": \"done\",\n                       \"\ud83d\udd36\": \"partial\", \"\ud83d\udd38\": \"partial\",\n                       \"\u2b1c\": \"open\", \"\u2610\": \"open\"}[tm.group(2)]\n            totals[key] += 1\n            if phase is not None:\n                phase[key] += 1\n    return {\"phases\": phases, **totals}\n\n\n# ---------------------------------------------------------------- markdown\n\n_MATH_RE = re.compile(\n    r\"(\\$\\$.*?\\$\\$|\\\\\\[.*?\\\\\\]|\\\\\\(.*?\\\\\\)|\\$[^$\\n]+?\\$)\", re.S)\n\n_LIST_ITEM_RE = re.compile(r\"^\\s*([-*+] |\\d+\\. )\")\n_BLOCK_START_RE = re.compile(r\"^\\s*(#|\\||>|[-*+] |\\d+\\. )\")\n\n\ndef _restore_interrupted_lists(text):\n    \"\"\"Insert a blank line before a list item that directly follows a\n    paragraph line.\n\n    python-markdown (with or without sane_lists) never lets a list\n    interrupt a paragraph: a ``- item`` line written right after a text\n    line renders as literal paragraph text. The archive writes such\n    lists (e.g. NGUYEN.md Phase 2 / 5B checklists after their note\n    paragraphs). Adding the missing blank line lets the list parse as a\n    list; visible text is unchanged. Fenced code blocks are skipped.\n    \"\"\"\n    out, prev, in_fence = [], \"\", False\n    for line in text.splitlines():\n        if line.lstrip().startswith((\"```\", \"~~~\")):\n            in_fence = not in_fence\n        elif (not in_fence and _LIST_ITEM_RE.match(line)\n                and prev.strip()               # prev not blank\n                and not prev[0].isspace()      # prev not an indented\n                                               # item-continuation (keeps\n                                               # existing lists tight)\n                and not _BLOCK_START_RE.match(prev)):\n            out.append(\"\")\n        out.append(line)\n        prev = line\n    return \"\\n\".join(out)\n\n\n_TASK_MARK_RE = re.compile(r\"(<li>\\s*(?:<p>)?)(?:\\[(x|~| )\\]|(\u2611))\")\n_TASK_MARK_CLASS = {\"x\": \"x\", \"~\": \"tilde\", \" \": \"open\"}\n\n\ndef _task_mark_span(m):\n    \"\"\"Wrap a leading checklist marker in a styled span (display-only;\n    the marker text itself stays verbatim).\"\"\"\n    if m.group(3) is not None:  # \u2611 done \u2014 blue box, same size as [~]/[ ]\n        return m.group(1) + '<span class=\"tkm tkm-check\">\u2611</span>'\n    cls = _TASK_MARK_CLASS[m.group(2)]\n    return (m.group(1) + '<span class=\"tkm tkm-' + cls + '\">['\n            + m.group(2) + \"]</span>\")\n\n\ndef render_markdown(text):\n    \"\"\"Render markdown, protecting $...$ math spans for MathJax.\"\"\"\n    store = []\n\n    def stash(m):\n        store.append(m.group(0))\n        return f\"@@MATH{len(store) - 1}@@\"\n\n    protected = _MATH_RE.sub(stash, _restore_interrupted_lists(text))\n    html = markdown.markdown(\n        protected, extensions=[\"tables\", \"fenced_code\", \"sane_lists\"])\n    for i, s in enumerate(store):\n        html = html.replace(f\"@@MATH{i}@@\", s)\n    return _TASK_MARK_RE.sub(_task_mark_span, html)\n\n\n# ---------------------------------------------------------------- markdown collections\n\nMD_COLLECTIONS = {\n    \"results\": (RESEARCH / \"results\", \".md\"),\n    \"derivations\": (RESEARCH / \"derivations\", \".md\"),\n    \"graveyard\": (RESEARCH / \"graveyard\", \".md\"),\n    \"journal\": (RESEARCH / \"journal\", \".md\"),\n    \"resources\": (RESEARCH / \"resources\", \".txt\"),\n}\n\n_JOURNAL_TITLE_RE = re.compile(r\"^(Session\\s+\\S+)\\s*\\(([^)]+)\\)\")\n\n\ndef _journal_title(title):\n    \"\"\"Display-only normalization: 'Session 011 (2026-08-19) \u2014 \u2026' \u2192\n    'Session 011 \u2014 2026-08-19 \u2014 \u2026' so all journal rows read alike.\n    The archive files are never modified (RH-WEBSITE.md \u00a70); the detail\n    page body still renders the original heading verbatim.\"\"\"\n    return _JOURNAL_TITLE_RE.sub(\n        lambda m: m.group(1) + \" \u2014 \" + m.group(2), title, count=1)\n\n\ndef collection_list(kind):\n    folder, ext = MD_COLLECTIONS[kind]\n    out = []\n    for p in sorted(folder.glob(f\"*{ext}\")):\n        if p.name in (\"index.md\", \"index.txt\"):\n            continue\n        title = _first_heading(p) or p.stem\n        if kind == \"journal\":\n            title = _journal_title(title)\n        out.append({\n            \"name\": p.stem,\n            \"file\": p.name,\n            \"title\": title,\n            \"mtime\": _iso(p.stat().st_mtime),\n        })\n    return out\n\n\ndef _first_heading(path):\n    try:\n        for line in read_text(path).splitlines():\n            if line.startswith(\"# \"):\n                return line[2:].strip()\n            if line.strip():\n                break\n    except OSError:\n        pass\n    return None\n\n\ndef collection_item(kind, name):\n    \"\"\"Render one markdown file from a collection. Path-traversal safe:\n    security comes from the resolved-path containment check, not a regex.\"\"\"\n    folder, ext = MD_COLLECTIONS[kind]\n    path = (folder / (name + ext)).resolve()\n    if folder.resolve() not in path.parents or not path.exists():\n        return None\n    title = _first_heading(path) or name\n    if kind == \"journal\":\n        title = _journal_title(title)\n    return {\n        \"name\": name,\n        \"title\": title,\n        \"html\": render_markdown(read_text(path)),\n        \"mtime\": _iso(path.stat().st_mtime),\n    }\n\n\n# ---------------------------------------------------------------- experiments\n\ndef experiment_sidecar(exp_row):\n    \"\"\"Load the JSON metadata sidecar for an experiment row.\"\"\"\n    jf = exp_row.get(\"json_file\")\n    if not jf:\n        return None\n    path = (REPO / jf).resolve()\n    if REPO.resolve() not in path.parents or not path.exists():\n        return None\n    try:\n        return json.loads(read_text(path))\n    except (json.JSONDecodeError, OSError):\n        return None\n\n\ndef _csv_path(exp_row):\n    cf = exp_row.get(\"csv_file\")\n    if not cf:\n        return None\n    path = (REPO / cf).resolve()\n    if REPO.resolve() not in path.parents or not path.exists():\n        return None\n    return path\n\n\ndef csv_preview(exp_row, n=PREVIEW_ROWS):\n    path = _csv_path(exp_row)\n    if not path:\n        return None\n    with open(path, newline=\"\", encoding=\"utf-8\", errors=\"replace\") as fh:\n        rows = list(csv.reader(fh))\n    if not rows:\n        return None\n    return {\"header\": rows[0], \"rows\": rows[1:n + 1],\n            \"total\": max(0, len(rows) - 1)}\n\n\n# Chart configs: which CSV columns to plot per experiment.\n# y may be a list of column names; log_y switches the y axis to log scale.\nCHARTS = {\n    \"E-002\": {\"title\": \"First 10\u2074 zeta zero ordinates \u03b3\u2099\",\n              \"x\": \"n\", \"y\": [\"gamma_n\"]},\n    \"E-008\": {\"title\": \"Li coefficients \u03bb\u2099 (zero side, n \u2264 2000)\",\n              \"x\": \"n\", \"y\": [\"lambda_n\"]},\n    \"E-009b\": {\"title\": \"Galerkin spectrum \u03bb\u2c7c of Suzuki A_a (log scale)\",\n               \"x\": \"a\", \"y\": [\"lambda_j\"], \"log_y\": True},\n    \"E-011\": {\"title\": \"Li coefficients \u03bb\u2099 (arithmetic side, n \u2264 2000)\",\n              \"x\": \"n\", \"y\": [\"lambda_n\"]},\n    \"E-015\": {\"title\": \"Li coefficients \u03bb\u2099 (arithmetic side, n \u2264 3000)\",\n              \"x\": \"n\", \"y\": [\"lambda_n\"]},\n    \"E-017\": {\"title\": \"Thinning remainder |R_\u03c4| / |R\u2080| vs y (log scale)\",\n              \"x\": \"y\", \"y\": [\"ratio_Rtau_R0\"], \"log_y\": True},\n    \"E-018\": {\"title\": \"Descent profile |M| / |R\u2080| (log scale)\",\n              \"x\": \"x\", \"y\": [\"ratio_M_R0\"], \"log_y\": True},\n    \"E-021\": {\"title\": \"S\u221e(n) and S_f(n) curves\",\n              \"x\": \"n\", \"y\": [\"S_inf\", \"S_f\"]},\n    \"E-023\": {\"title\": \"Margin curve: traced vs measured constants\",\n              \"x\": \"n\", \"y\": [\"margin_traced\", \"margin_measured\"]},\n}\n\n\ndef chart_data(exp_row):\n    \"\"\"Return Plotly-ready series for an experiment, or None.\"\"\"\n    cfg = CHARTS.get(exp_row[\"id\"])\n    path = _csv_path(exp_row)\n    if not path:\n        return None\n    with open(path, newline=\"\", encoding=\"utf-8\", errors=\"replace\") as fh:\n        reader = csv.DictReader(fh)\n        fields = reader.fieldnames or []\n        if cfg is None:\n            nums = _numeric_columns(path, fields)\n            if len(nums) < 2:\n                return None\n            cfg = {\"title\": \"Data plot\", \"x\": nums[0], \"y\": nums[1:3]}\n        if cfg[\"x\"] not in fields:\n            return None\n        cols = {c: [] for c in [cfg[\"x\"], *cfg[\"y\"]]}\n        for row in reader:\n            for c in cols:\n                cols[c].append(row.get(c, \"\"))\n\n    n = len(cols[cfg[\"x\"]])\n    step = max(1, n // MAX_CHART_POINTS)\n    traces = []\n    for col in cfg[\"y\"]:\n        traces.append({\n            \"name\": col,\n            \"x\": _to_floats(cols[cfg[\"x\"]][::step]),\n            \"y\": _to_floats(cols[col][::step]),\n        })\n    return {\"title\": cfg.get(\"title\", \"Data plot\"),\n            \"traces\": traces,\n            \"log_y\": bool(cfg.get(\"log_y\")),\n            \"points\": n, \"shown\": len(traces[0][\"x\"]) if traces else 0}\n\n\ndef _numeric_columns(path, fields):\n    with open(path, newline=\"\", encoding=\"utf-8\", errors=\"replace\") as fh:\n        reader = csv.DictReader(fh)\n        sample = [row for _, row in zip(range(50), reader)]\n    nums = []\n    for f in fields:\n        if sample and all(_is_float(r.get(f, \"\")) for r in sample if r.get(f) != \"\"):\n            nums.append(f)\n    return nums\n\n\ndef _is_float(s):\n    try:\n        float(s)\n        return True\n    except (TypeError, ValueError):\n        return False\n\n\ndef _to_floats(values):\n    out = []\n    for v in values:\n        try:\n            out.append(float(v))\n        except (TypeError, ValueError):\n            out.append(None)\n    return out\n\n\n# ---------------------------------------------------------------- live runs / git\n\ndef run_logs():\n    out = []\n    for p in sorted(DATA.glob(\"*-run.log\")):\n        st = p.stat()\n        out.append({\"name\": p.name, \"size\": st.st_size,\n                    \"mtime\": st.st_mtime, \"mtime_iso\": _iso(st.st_mtime)})\n    return out\n\n\n_LOG_NAME = re.compile(r\"^[\\w-]+-run\\.log$\")\n\n\ndef tail_log(name, n=200):\n    \"\"\"Last n lines of a run log. Whitelisted to *-run.log inside DATA.\"\"\"\n    if not _LOG_NAME.match(name):\n        return None\n    path = (DATA / name).resolve()\n    if DATA.resolve() not in path.parents or not path.exists():\n        return None\n    lines = read_text(path).splitlines()\n    return {\"name\": name, \"lines\": lines[-n:], \"total\": len(lines),\n            \"mtime\": _iso(path.stat().st_mtime)}\n\n\ndef git_log(n=12):\n    try:\n        out = subprocess.run(\n            [\"git\", \"-C\", str(REPO), \"log\", \"--oneline\", \"-n\", str(n)],\n            capture_output=True, text=True, encoding=\"utf-8\",\n            errors=\"replace\", timeout=10)\n        # `or \"\"`: a decode failure inside subprocess's reader thread is\n        # swallowed and leaves out.stdout None \u2014 never 500 the page on that.\n        return [l for l in (out.stdout or \"\").splitlines() if l.strip()]\n    except (OSError, subprocess.SubprocessError):\n        return []\n\n\n# ---------------------------------------------------------------- agent conversation DB\n# Nguyen CLI conversation index. Outside the repo; READ-ONLY like everything else.\n\nAGENT_DB = Path.home() / \".nguyen\" / \"projects\" / \"D--Python-Quantum\" / \"agent.db\"\n\n\ndef _agent_query(sql, params=()):\n    con = sqlite3.connect(f\"file:{AGENT_DB}?mode=ro\", uri=True)\n    try:\n        con.row_factory = sqlite3.Row\n        return [dict(r) for r in con.execute(sql, params)]\n    finally:\n        con.close()\n\n\ndef agent_available():\n    return AGENT_DB.exists()\n\n\ndef agent_sessions():\n    return _agent_query(\n        \"SELECT id, session_id, title, model, provider, message_count,\"\n        \" prompt_tokens, completion_tokens, total_cost_usd, created_at,\"\n        \" updated_at FROM sessions ORDER BY id\")\n\n\ndef agent_session(spk):\n    rows = _agent_query(\"SELECT * FROM sessions WHERE id = ?\", (spk,))\n    return rows[0] if rows else None\n\n\ndef _fmt_ts(ts):\n    if not ts:\n        return \"\"\n    ts = ts.replace(\"T\", \" \").replace(\"+00:00\", \" UTC\")\n    return ts[:23] + (\" UTC\" if ts.endswith(\"UTC\") and \"UTC\" not in ts[:23] else \"\")\n\n\ndef _decorate_message(row, tool_map=None):\n    \"\"\"Split a message row into display blocks (thinking / text / tool).\"\"\"\n    blocks = []\n    cj = row.get(\"content_json\") or \"\"\n    if cj:\n        try:\n            for b in json.loads(cj):\n                t = b.get(\"type\")\n                if t == \"thinking\":\n                    blocks.append({\"type\": \"thinking\",\n                                   \"text\": b.get(\"thinking\", \"\")})\n                elif t == \"text\":\n                    blocks.append({\"type\": \"text\",\n                                   \"text\": b.get(\"text\", \"\")})\n                elif t == \"tool_use\":\n                    call = (tool_map or {}).get(b.get(\"id\"))\n                    blocks.append({\n                        \"type\": \"tool\",\n                        \"name\": b.get(\"name\", \"?\"),\n                        \"tool_use_id\": b.get(\"id\", \"\"),\n                        \"input\": json.dumps(b.get(\"input\"), indent=2,\n                                            default=str),\n                        \"call\": call,\n                    })\n        except json.JSONDecodeError:\n            pass\n    if not blocks and row.get(\"content\"):\n        blocks.append({\"type\": \"text\", \"text\": row[\"content\"]})\n    return {\n        \"id\": row[\"id\"],\n        \"role\": row.get(\"role\") or \"?\",\n        \"created\": _fmt_ts(row.get(\"created_at\", \"\")),\n        \"model\": row.get(\"model\") or \"\",\n        \"prompt_tokens\": row.get(\"prompt_tokens\"),\n        \"completion_tokens\": row.get(\"completion_tokens\"),\n        \"blocks\": blocks,\n        \"kinds\": {b[\"type\"] for b in blocks},\n        \"raw_json\": cj,\n    }\n\n\ndef _tool_map(spk):\n    out = {}\n    for tc in _agent_query(\n            \"SELECT tool_use_id, tool_name, arguments_json, result_json,\"\n            \" success, error, started_at, completed_at FROM tool_calls\"\n            \" WHERE session_pk = ?\", (spk,)):\n        result = tc.get(\"result_json\") or \"\"\n        try:\n            parsed = json.loads(result) if result else {}\n            if isinstance(parsed, dict):\n                result = parsed.get(\"stdout\", \"\") or json.dumps(parsed, indent=2, default=str)\n            else:\n                result = str(parsed)\n        except json.JSONDecodeError:\n            pass\n        tc[\"result_text\"] = result\n        tc[\"args_text\"] = json.dumps(json.loads(tc[\"arguments_json\"]), indent=2) \\\n            if tc.get(\"arguments_json\") else \"\"\n        tc[\"started\"] = _fmt_ts(tc.get(\"started_at\", \"\"))\n        tc[\"completed\"] = _fmt_ts(tc.get(\"completed_at\", \"\"))\n        if tc.get(\"tool_use_id\"):\n            out[tc[\"tool_use_id\"]] = tc\n    return out\n\n\ndef agent_messages(spk, q=None, kind=None):\n    \"\"\"All messages of a session, decorated; optional FTS search + kind filter.\"\"\"\n    tmap = _tool_map(spk)\n    if q:\n        phrase = '\"' + q.replace('\"', '\"\"') + '\"'\n        try:\n            rows = _agent_query(\n                \"SELECT m.* FROM messages m\"\n                \" JOIN messages_fts f ON f.rowid = m.id\"\n                \" WHERE messages_fts MATCH ? AND m.session_pk = ?\"\n                \" ORDER BY m.id\", (phrase, spk))\n        except sqlite3.OperationalError:\n            rows = []\n    else:\n        rows = _agent_query(\n            \"SELECT * FROM messages WHERE session_pk = ? ORDER BY id\", (spk,))\n    out = [_decorate_message(r, tmap) for r in rows]\n    if kind in (\"user\", \"thinking\", \"text\", \"tool\"):\n        if kind == \"user\":\n            out = [m for m in out if m[\"role\"] == \"user\"]\n        else:\n            out = [m for m in out if kind in m[\"kinds\"]]\n    return out\n\n\ndef agent_message(spk, mid):\n    rows = _agent_query(\n        \"SELECT * FROM messages WHERE session_pk = ? AND id = ?\", (spk, mid))\n    if not rows:\n        return None\n    tmap = _tool_map(spk)\n    msg = _decorate_message(rows[0], tmap)\n    prev = _agent_query(\n        \"SELECT id FROM messages WHERE session_pk = ? AND id < ?\"\n        \" ORDER BY id DESC LIMIT 1\", (spk, mid))\n    nxt = _agent_query(\n        \"SELECT id FROM messages WHERE session_pk = ? AND id > ?\"\n        \" ORDER BY id ASC LIMIT 1\", (spk, mid))\n    pos = _agent_query(\n        \"SELECT COUNT(*) AS c FROM messages WHERE session_pk = ? AND id <= ?\",\n        (spk, mid))[0][\"c\"]\n    total = _agent_query(\n        \"SELECT COUNT(*) AS c FROM messages WHERE session_pk = ?\", (spk,))[0][\"c\"]\n    msg[\"prev_id\"] = prev[0][\"id\"] if prev else None\n    msg[\"next_id\"] = nxt[0][\"id\"] if nxt else None\n    msg[\"position\"] = pos\n    msg[\"total\"] = total\n    return msg\n\n\n# ---------------------------------------------------------------- global search\n\n_SEARCH_MAX_Q = 200\n_SEARCH_MAX_FILES = 100\n_SEARCH_MAX_SNIPPETS = 3\n_SEARCH_WINDOW = 90  # context chars each side of a match\n\n\ndef _snippets(text, terms):\n    \"\"\"Up to _SEARCH_MAX_SNIPPETS (line_no, before, match, after) raw-text\n    tuples around the first well-separated match positions. HTML-escaping\n    is the template's job (autoescape).\"\"\"\n    low = text.lower()\n    positions = []\n    for t in terms:\n        start = 0\n        while True:\n            i = low.find(t, start)\n            if i < 0:\n                break\n            positions.append((i, len(t)))\n            start = i + len(t)\n    positions.sort()\n    out, last_end = [], -10 ** 9\n    for i, ln in positions:\n        if i < last_end + _SEARCH_WINDOW:\n            continue\n        out.append((text.count(\"\\n\", 0, i) + 1,\n                    text[max(0, i - _SEARCH_WINDOW):i],\n                    text[i:i + ln],\n                    text[i + ln:i + ln + _SEARCH_WINDOW]))\n        last_end = i + ln\n        if len(out) >= _SEARCH_MAX_SNIPPETS:\n            break\n    return out\n\n\ndef search_archive(q):\n    \"\"\"Global case-insensitive search across the markdown collections\n    (RH-WEBSITE.md \u00a77 item 1 \u2014 index-free scan-on-query).\n\n    The query is split into whitespace terms; a file matches when EVERY\n    term appears in its text, title, or filename (AND semantics).\n    Results are grouped by collection; hits in ``results`` link to the\n    ledger detail page. Read-only; every file is opened 'r' per query.\n    \"\"\"\n    q = (q or \"\").strip()[:_SEARCH_MAX_Q]\n    if not q:\n        return None\n    terms = q.lower().split()\n    ledger_urls = {Path(r[\"file\"]).stem: r[\"id\"] for r in get_results()}\n    results, total, truncated = {}, 0, False\n    for kind, (folder, ext) in MD_COLLECTIONS.items():\n        hits = []\n        for p in sorted(folder.glob(f\"*{ext}\")):\n            if p.name in (\"index.md\", \"index.txt\"):\n                continue\n            text = read_text(p)\n            low = text.lower()\n            title = _first_heading(p) or p.stem\n            if not all(t in low or t in title.lower() or t in p.stem.lower()\n                       for t in terms):\n                continue\n            if kind == \"results\" and p.stem in ledger_urls:\n                url = f\"/ledger/{ledger_urls[p.stem]}/\"\n            else:\n                url = f\"/{kind}/{p.stem}/\"\n            hits.append({\"name\": p.stem, \"title\": title, \"url\": url,\n                         \"snippets\": _snippets(text, terms)})\n            total += 1\n            if total >= _SEARCH_MAX_FILES:\n                truncated = True\n                break\n        if hits:\n            results[kind] = hits\n        if truncated:\n            break\n    return {\"q\": q, \"terms\": terms, \"results\": results,\n            \"total\": total, \"truncated\": truncated}\n\n\n# ---------------------------------------------------------------- scripts & their data\n\nSCRIPTS_DIR = RESEARCH / \"numerics\" / \"scripts\"\nCSV_PER_PAGE = 500\n\n\ndef _script_data_files(stem, exp_rows):\n    \"\"\"Data files (research/numerics/data) belonging to a script: the\n    experiment-table links (authoritative) UNION exact-stem matches.\"\"\"\n    files, seen = [], set()\n\n    def add(path):\n        path = Path(path)\n        key = str(path).lower()\n        if key in seen or not path.exists():\n            return\n        seen.add(key)\n        files.append({\"name\": path.name, \"path\": path,\n                      \"kind\": path.suffix.lstrip(\".\"),\n                      \"size\": path.stat().st_size,\n                      \"mtime\": _iso(path.stat().st_mtime)})\n\n    for row in exp_rows:\n        for k in (\"csv_file\", \"json_file\"):\n            if row.get(k):\n                p = (REPO / row[k]).resolve()\n                if REPO.resolve() in p.parents:\n                    add(p)\n    for ext in (\".csv\", \".json\"):\n        for q in sorted(DATA.glob(stem + ext)):\n            add(q.resolve())\n    files.sort(key=lambda f: (f[\"kind\"] != \"csv\", f[\"name\"]))  # csv first\n    return files\n\n\ndef _experiments_by_script():\n    by = {}\n    for r in get_experiments():\n        if r.get(\"script\"):\n            by.setdefault(Path(r[\"script\"]).stem, []).append(r)\n    return by\n\n\ndef script_list():\n    by = _experiments_by_script()\n    out = []\n    for p in sorted(SCRIPTS_DIR.glob(\"*.py\")):\n        rows = by.get(p.stem, [])\n        out.append({\n            \"name\": p.stem, \"file\": p.name,\n            \"experiments\": [r[\"id\"] for r in rows],\n            \"data_files\": [f[\"name\"] for f in _script_data_files(p.stem, rows)],\n            \"size\": p.stat().st_size,\n            \"mtime\": _iso(p.stat().st_mtime),\n        })\n    return out\n\n\ndef script_item(stem):\n    \"\"\"One script + its data files. Path-traversal safe via the resolved-\n    path containment check (same pattern as collection_item).\"\"\"\n    path = (SCRIPTS_DIR / (stem + \".py\")).resolve()\n    if SCRIPTS_DIR.resolve() not in path.parents or not path.exists():\n        return None\n    rows = _experiments_by_script().get(stem, [])\n    return {\"name\": stem, \"file\": path.name,\n            \"experiments\": rows,\n            \"files\": _script_data_files(stem, rows),\n            \"source\": read_text(path),\n            \"mtime\": _iso(path.stat().st_mtime)}\n\n\ndef csv_page(path, page, per=CSV_PER_PAGE):\n    \"\"\"One page of a CSV as a spreadsheet grid: header, numbered rows,\n    right-align flags for numeric columns.\"\"\"\n    with open(path, newline=\"\", encoding=\"utf-8\", errors=\"replace\") as fh:\n        rows = list(csv.reader(fh))\n    if not rows:\n        return None\n    header, body = rows[0], rows[1:]\n    total = len(body)\n    pages = max(1, -(-total // per))\n    page = min(max(1, page), pages)\n    chunk = body[(page - 1) * per: page * per]\n    numeric = []\n    for ci in range(len(header)):\n        vals = [r[ci] for r in chunk[:50] if ci < len(r) and r[ci] != \"\"]\n        numeric.append(bool(vals) and all(_is_float(v) for v in vals))\n    grid = [[{\"v\": cell, \"num\": ci < len(numeric) and numeric[ci]}\n             for ci, cell in enumerate(row)] for row in chunk]\n    return {\"header\": header, \"rows\": grid,\n            \"total\": total, \"page\": page, \"pages\": pages, \"per\": per,\n            \"first_line\": (page - 1) * per + 2}  # CSV line no. (header = 1)\n\n\ndef json_pretty(path, cap=200_000):\n    try:\n        text = json.dumps(json.loads(read_text(path)),\n                          indent=2, ensure_ascii=False)\n    except (json.JSONDecodeError, OSError):\n        return None\n    if len(text) > cap:\n        return text[:cap] + f\"\\n\u2026 (truncated at {cap:,} chars)\"\n    return text\n\n\n# ---------------------------------------------------------------- Lean formalization\n\nLEAN_ROOT = RESEARCH / \"lean\" / \"NguyenRH1\"\nLEAN_SRC = LEAN_ROOT / \"NguyenRH1\"\n\n_DECL_LINE_RE = re.compile(\n    r\"^(theorem|lemma|def|structure|class|instance|abbrev)\\s+(\\S+)\")\n_SORRY_RE = re.compile(r\"\\bby\\s+sorry\\b|:=\\s*sorry\\b\")\n\n\ndef _lean_decls(text):\n    out = []\n    for i, line in enumerate(text.splitlines(), 1):\n        m = _DECL_LINE_RE.match(line)\n        if m:\n            out.append({\"kind\": m.group(1), \"name\": m.group(2), \"line\": i})\n    return out\n\n\ndef lean_toolchain():\n    p = LEAN_ROOT / \"lean-toolchain\"\n    return read_text(p).strip() if p.exists() else \"\"\n\n\ndef _lean_file_row(p):\n    text = read_text(p)\n    return {\"name\": p.stem, \"file\": p.name,\n            \"lines\": text.count(\"\\n\") + 1,\n            \"decls\": len(_lean_decls(text)),\n            \"sorries\": len(_SORRY_RE.findall(text)),\n            \"mtime\": _iso(p.stat().st_mtime)}\n\n\ndef lean_files():\n    return [_lean_file_row(p) for p in sorted(LEAN_SRC.glob(\"*.lean\"))]\n\n\ndef lean_audits():\n    out = []\n    for p in sorted(LEAN_ROOT.glob(\"audit-session*-axioms.txt\")):\n        text = read_text(p)\n        out.append({\"name\": p.stem, \"file\": p.name,\n                    \"decls\": text.count(\"depends on axioms\"),\n                    \"sorries\": text.count(\"sorryAx\"),\n                    \"clean\": \"sorryAx\" not in text,\n                    \"mtime\": _iso(p.stat().st_mtime)})\n    return out\n\n\ndef lean_item(name):\n    \"\"\"One Lean source file + parsed declarations. Containment-checked.\"\"\"\n    path = (LEAN_SRC / (name + \".lean\")).resolve()\n    if LEAN_SRC.resolve() not in path.parents or not path.exists():\n        return None\n    text = read_text(path)\n    return {\"name\": name, \"file\": path.name, \"source\": text,\n            \"lines\": text.count(\"\\n\") + 1,\n            \"decls\": _lean_decls(text),\n            \"sorries\": len(_SORRY_RE.findall(text)),\n            \"mtime\": _iso(path.stat().st_mtime)}\n\n\ndef lean_audit_item(name):\n    path = (LEAN_ROOT / (name + \".txt\")).resolve()\n    if LEAN_ROOT.resolve() not in path.parents or not path.exists():\n        return None\n    text = read_text(path)\n    return {\"name\": name, \"file\": path.name, \"text\": text,\n            \"decls\": text.count(\"depends on axioms\"),\n            \"sorries\": text.count(\"sorryAx\"),\n            \"clean\": \"sorryAx\" not in text,\n            \"mtime\": _iso(path.stat().st_mtime)}\n\n\ndef lean_closed_source():\n    p = LEAN_SRC / \"LiClosed.lean\"\n    return read_text(p) if p.exists() else \"\"\n\n\n_LEAN_PERIMETER = [\n    (\"RHUpTo\", \"LiSkeleton\",\n     \"Platt\u2013Trudgian computational certificate: RH verified to height T\u2080 = 3\u00d710\u00b9\u00b2.\"),\n    (\"LiVerifiedUpTo\", \"LiSkeleton\",\n     \"Finite Li-coefficient verification (our tables to n = 3000 + Johansson 2015 \u00a7 4.2 to 10\u2075).\"),\n    (\"ZeroCountProp\", \"LiContour\",\n     \"Trudgian N(T)/S(T): unit-window zero count, multiplicity-weighted.\"),\n    (\"ZeroCountProp2\", \"LiContour\",\n     \"Trudgian two-unit window specialization.\"),\n    (\"ZeroCountGlobalProp\", \"LiContour\",\n     \"Trudgian global N(T) bound.\"),\n    (\"NoLowZeros\", \"LiContour\",\n     \"Platt-class zero-location certificate: no zeros with |\u03b3| < 14.\"),\n    (\"MZeroProp\", \"LiContour\",\n     \"M\u2080 interval certificate (the low-|t| gap bound).\"),\n]\n\n\ndef _extract_lean_def(file_stem, def_name):\n    \"\"\"The verbatim `def NAME` block (indented continuation lines included)\n    + its 1-based start line.\"\"\"\n    p = LEAN_SRC / (file_stem + \".lean\")\n    if not p.exists():\n        return None\n    lines = read_text(p).splitlines()\n    pat = re.compile(rf\"^(?:def|abbrev|structure|class)\\s+{re.escape(def_name)}\\b\")\n    for i, line in enumerate(lines):\n        if pat.match(line):\n            block = [line]\n            j = i + 1\n            while j < len(lines) and (not lines[j].strip()\n                                      or lines[j][0].isspace()):\n                block.append(lines[j])\n                j += 1\n            while block and not block[-1].strip():\n                block.pop()\n            return {\"text\": \"\\n\".join(block), \"line\": i + 1}\n    return None\n\n\ndef lean_perimeter():\n    out = []\n    for name, src, note in _LEAN_PERIMETER:\n        d = _extract_lean_def(src, name) or {\"text\": \"(not found)\", \"line\": None}\n        out.append({\"name\": name, \"file\": src + \".lean\", \"note\": note, **d})\n    return out\n\n\ndef summary_stats():\n    return {\n        \"results\": len(get_results()),\n        \"experiments\": len(get_experiments()),\n        \"derivations\": len(get_derivations()),\n        \"graveyard\": len(get_graveyard()),\n        \"sessions\": len(get_sessions()),\n        \"checklist\": parse_checklist(),\n    }\n",
  "structuredPatch": [
    {
      "oldStart": 167,
      "oldLines": 20,
      "newStart": 167,
      "newLines": 6,
      "lines": [
        "     return \"\\n\".join(out)",
        " ",
        " ",
        "-_TASK_MARK_RE = re.compile(r\"(<li>\\s*(?:<p>)?)(?:\\[(x|~| )\\]|(\u2611))\")",
        "-_TASK_MARK_CLASS = {\"x\": \"x\", \"~\": \"tilde\", \" \": \"open\"}",
        "-",
        "-",
        "-def _task_mark_span(m):",
        "-    \"\"\"Wrap a leading checklist marker in a styled span (display-only;",
        "-    the marker text itself stays verbatim).\"\"\"",
        "-    if m.group(3) is not None:  # \u2611 done \u2014 blue box, same size as [~]/[ ]",
        "-        return m.group(1) + '<span class=\"tkm tkm-check\">\u2611</span>'",
        "-    cls = _TASK_MARK_CLASS[m.group(2)]",
        "-    return (m.group(1) + '<span class=\"tkm tkm-' + cls + '\">['",
        "-            + m.group(2) + \"]</span>\")",
        "-",
        "-",
        " def render_markdown(text):",
        "     \"\"\"Render markdown, protecting $...$ math spans for MathJax.\"\"\"",
        "     store = []"
      ]
    },
    {
      "oldStart": 194,
      "oldLines": 7,
      "newStart": 180,
      "newLines": 7,
      "lines": [
        "         protected, extensions=[\"tables\", \"fenced_code\", \"sane_lists\"])",
        "     for i, s in enumerate(store):",
        "         html = html.replace(f\"@@MATH{i}@@\", s)",
        "-    return _TASK_MARK_RE.sub(_task_mark_span, html)",
        "+    return html",
        " ",
        " ",
        " # ---------------------------------------------------------------- markdown collections"
      ]
    }
  ],
  "userModified": false,
  "replaceAll": false
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{
  "command": "cd \"D:/Python/Quantum\" && grep -n \"LAM\" research/numerics/scripts/E-014-cor16-diagnostics.py | grep -v \"LAM_LOG\\|LAM = LAM\" | head",
  "description": "Find LAM references to fix"
}

{
  "command": "cd \"D:/Python/Quantum\" && ./.venv/Scripts/python.exe -c \"\nimport subprocess, sys\nf = open('research/numerics/data/E-014.log', 'w')\np = subprocess.Popen([sys.executable, 'research/numerics/scripts/E-014-cor16-diagnostics.py'],\n                     stdout=f, stderr=subprocess.STDOUT,\n                     creationflags=0x00000008 | 0x00000200)\nprint('detached pid:', p.pid)\n\" && sleep 560 && cat \"D:/Python/Quantum/research/numerics/data/E-014.log\"",
  "description": "Relaunch E-014 after prime_sum fix, check at ~9.5 min",
  "timeout": 595000
}

{
  "file_path": "D:\\Python\\Quantum\\research\\derivations\\D-023-cor16-diagnostics-analysis.md",
  "content": "# D-023 \u2014 E-014 analysis: Cor 1.6 diagnostics (Q-S3) \u2014 density wall mapped; \u03b8 = \u03c0 candidate\nDate: 2026-08-17 | Session: 004 | Task: Q-S3 (Suzuki-line crux)\nStatus: complete \u2014 parameter space mapped to a = 10; thinning mechanism\nNOT observed at a \u2264 10; canonical candidate \u03b8(a) = \u03c0 found (weak evidence).\n\n## 1. Theory frame (what Cor 1.6 requires)\nCor 1.6 (Suzuki 2606.09096): IF for some \u03b8(a), \u03c6(a,z) (\u2260 +\u221e),\ne^{\u03c6}W(a,\u03b8;z) \u2192 z\u00b2\u03be(\u00bd\u2212iz)/\u03be\u2032(\u00bd\u2212iz) uniformly on compacts, THEN RH.\nConstraints established before E-014:\n- W has exponential type 2a and ALL REAL zeros (Thm 1.5), e^{\u03c6} \u2260 0\n  \u27f9 zeros of e^{\u03c6}W = zeros of W.\n- Target zero density ~ (log T)/2\u03c0; measured W density at a \u2264 8\n  (E-010): maximal lattice, spacing \u03c0/a \u27f9 ~aT/\u03c0 zeros in [0,T].\n- As \u03b8 varies at fixed a, zeros sweep along \u211d (de Branges interlacing);\n  count in a fixed window is \u03b8-independent up to O(1).\n\u27f9 For Cor 1.6, the zero density must COLLAPSE with a (zeros, confined to\n\u211d, must flow out to \u00b1\u221e), and this can only come from the a-dependence of\nthe deficiency vectors v\u00b1 = T_a^{\u22121} e^{\u00b1x}.\n\n## 2. E-014 findings (a \u2264 10, h = 0.01, \u03bb = \u22121; all checks pass)\n- **(H1) Density is maximal and \u03b8-independent.** Zero count in [0,40] at\n  a = 6: 75\u201376 across 16 \u03b8 values (spread 1; argument-principle count).\n  \u2248 aT/\u03c0 exactly. Interlacing picture confirmed quantitatively.\n- **(H2) v\u00b1 ARE boundary-localized \u2014 but it doesn't thin the spectrum.**\n  Edge-1 mass fraction (L2): 0.804 (a=4) \u2192 0.825 (a=10), slowly rising;\n  close to the free e^{\u00b1x} profile (1\u2212e^{\u22122} = 0.865). So localization is\n  essentially the FREE deficiency shape; the A_a distortion is a small\n  correction at these a. No localization-driven thinning.\n- **(H3) Perfect lattice to a = 10; no flow reversal, no \u03b3-locking.**\n  z\u2081(a) tracks \u03c0/a to \u2264 4e-4 at a = 4,6,8,10 (h-drift consistent with\n  E-010). Zeros keep flowing IN toward 0 as a grows. The outflow Cor 1.6\n  needs is absent at a \u2264 10.\n- **(H4) Read-off selects \u03b8 = \u03c0 at every a.** Imaginary-axis fit\n  (log|W(a,\u03b8;iy)| + polynomial vs log|F(iy)|, y \u2208 [1,20],\n  F = z\u00b2\u03be/\u03be\u2032): best \u03b8* = \u03c0 at ALL a \u2208 {4,6,8,10}, with PERFECT phase\n  agreement (sign of W(iy) matches sign F(iy) at all 96 points).\n  BUT: residuals do not decrease with a (0.0177 \u2192 0.0242) and\n  \u03b8-selectivity is weak (best vs median ~7\u201320%). The fit is dominated by\n  the common e^{2ay} growth; \u03b8 = \u03c0 is a consistent candidate, not yet\n  evidence of convergence.\n\n## 3. Verdict on Q-S3\nThe crux is now sharply posed: Cor 1.6 requires a spectral phase\ntransition (maximal lattice \u2192 \u0393-thinning) that has NOT begun at a \u2264 10.\nEverything at a \u2264 10 is free-lattice plus O(1/a\u00b2) renormalization\n(E-010 F1). The transition, if it exists, starts at a \u226b 10. \u03b8 = \u03c0 is\nthe candidate boundary condition to track (selected uniformly by the\nread-off with exact phase agreement).\nNo obstruction found \u2014 but the numerically accessible window (sieve\nlimit a \u2264 10) is too small to see the phenomenon. This is a SCALE\nlimitation, not a wall.\n\n## 4. Queued next steps (prioritized)\n1. **Q-S3a (analytic, cheap):** prove/disprove v\u00b1(a,\u00b7) \u2192 A_\u221e^{\u22121}e^{\u00b1\u00b7}\n   in a norm that controls W on compacts. If A_a^{-1} has a limit whose\n   Fourier-data involves \u03be, the thinning mechanism becomes visible\n   analytically (this is essentially Suzuki's \u00a77 program made concrete).\n2. **Q-S3b (numerics, medium):** redesigned prime-sum backend (blockwise\n   \u039b with checkpointed prefix sums) to reach a ~ 12\u201314; track the \u03b8 = \u03c0\n   zero flow and the read-off residual there.\n3. **Q-S3c (diagnostic, cheap):** at \u03b8 = \u03c0, compute W\u2032/W(iy) (Herglotz\n   density of the zero distribution) for a = 4..10 and compare its\n   fine structure against F\u2032/F(iy) \u2014 detects sub-lattice-scale\n   zero-redistribution before individual zeros resolve.\n\n## 5. Honesty notes\n- h = 0.01 discretization (z\u2081 drift 4e-4 vs h = 0.005, E-010); trends\n  reported are 10\u2013100\u00d7 larger.\n- P1's argument-principle count is exact up to the rectangle eps = 0.02;\n  spread 1 across \u03b8 is the interlacing theorem made visible.\n- H4's \u03b8 = \u03c0 selection could be an artifact of the growth-dominated fit;\n  the phase agreement (1.000 at all a) is the non-trivial part \u2014 log as\n  [NUMERICAL] hint, not evidence of convergence.\n"
}

{
  "type": "create",
  "filePath": "D:\\Python\\Quantum\\research\\derivations\\D-042-theta-sweep-analysis.md",
  "content": "# D-042 \u2014 Task 2.12 analysis: \u03b8-independence, the linear-K law, and the \u03bb\u2192\u03bb_a\u207b channel\nDate: 2026-08-19 | Session: 008 | Task: 2.12 (E-024) + (\u2605)-route synthesis\nStatus: complete. Experiments: E-024 (ALL CHECKS PASS); uses E-022/\nE-022b (D-040), D-038, D-041.\n\n## 1. E-024 measurements (\u03b8-sweep)\n\u03b8 \u2208 {0, \u03c0/6, \u2026, \u03c0} \u00d7 a \u2208 {4, 8, 12}: zeros via the real gauge\ng_\u03b8(z) = Re[e^{\u2212i\u03b8/2}(z\u2212i)V\u208a(z)] (exact on \u211d given the mirror gauge);\nClark weights 1/K_a(z_k,z_k) (E-022 route).\n- V1: all zeros real, maximal lattice at EVERY \u03b8 (self-adjointness\n  confirmed numerically for all 21 (a,\u03b8) pairs).\n- V2: \u03b8=\u03c0 reproduces E-022 exactly.\n- **\u03b8-INDEPENDENCE (headline):** residual mass spread over \u03b8 \u2264 2.2%,\n  mass\u00b10.1-of-\u03b3 spread \u2264 2.3%, valley-mass mean \u2248 1.00 for every \u03b8.\n  Only the lattice PHASE responds to \u03b8: z\u2081\u00b7a runs 3.147 (\u03b8=0) \u2192 4.504\n  (\u03b8=\u03c0) \u2014 \u224887% of the skeleton shift \u03b8/2, the rest R_\u03c4 deformation\n  (consistent with D-026 \u00a73).\nThis confirms the de Branges prediction (K is the space's kernel, blind\nto the extension): **the \u03b8(a) flow cannot drive consolidation** \u2014 it\nmatters only for function-level phase alignment in (1.12). The \u03b8-flow\nas a consolidation channel is CLOSED by evidence (noted in D-041 \u00a75\nas a possibility; now measured).\n\n## 2. The linear-K law (E-022b data re-read)\nPlateau vs floor decomposition of the valleys:\n  logK_plateau: 2.052, 2.468, 2.766, 2.990, 3.173 (a = 4\u202612)\n  logK_floor(\u03b3): \u22120.107, \u22120.040, 0.031, 0.119, 0.228\nFit: **logK_plateau = ln a + 0.64 to \u2264 0.3% at all five points**, i.e.\n  **K_plateau(a) \u2248 1.9\u00b7a   (\u2248 (6/\u03c0)\u00b7a)**,\nwhile the valley floor K(\u03b3,\u03b3) \u2248 1\u20131.26 is nearly a-stationary (mass\ngauge: K(\u03b3,\u03b3) \u2248 1 matches the target m_\u03b3 = 1).\nConsequences:\n- Plateau weight \u2248 1/(1.9a); residual mass\n  R(a) = (aZ/\u03c0)\u00b7(1/1.9a) \u2192 **Z/(1.9\u03c0) \u2248 Z/6 \u2260 0** \u2014 matches measured\n  residuals (48 at a=4 \u2192 58 at a=12, Z=280: Z/6 = 46.7; the slow rise\n  = the floor drift). \n- Consolidation margin C(a) = \u0394(a) \u2212 log a \u2192 0.64 \u2212 floor \u2248 **0.4\n  (a nonzero constant)**: the family equilibrates EXACTLY at the\n  consolidation boundary \u2014 neither converging nor diverging.\n- The linear law is the GENERIC Szeg\u0151 behavior (bulk spectral response\n  of the Toeplitz operator T_a to e_z): no fine-tuning. Consolidation\n  requires a NON-generic (superlinear) K-growth \u2014 precisely the (\u2605)\n  cancellation, which has not started at a \u2264 12.\n\n## 3. Synthesis \u2014 where the (\u2605) route actually stands\nMeasured, controlled facts (E-016\u2026E-024):\n1. The metric knows the zeros: K_a valleys at the \u03b3's, floor \u2248 1.\n2. The lattice neither locks (positions chance-level, E-019) nor thins\n   (maximal density, all \u03b8, E-024).\n3. Residual mass \u2192 Z/6 \u2260 0 (linear-K equilibrium).\n4. \u03b8 is statistically irrelevant (E-024).\n\u2234 At fixed \u03bb = \u22121 the family {D\u0304_{a,\u03b8}} CANNOT consolidate, at any a,\nfor any \u03b8(a) \u2014 not a saturation artifact but the generic equilibrium.\n**The remaining channel is Suzuki's own flagged lever: \u03bb \u2192 \u03bb_a\u207b**\n(remark after Cor 1.6: \"control of \u03bb (< \u03bb_a) will likely play an\nimportant role\"). As \u03bb \u2191 \u03bb_a(a) (\u03bb_a ~ e^{\u22121.65a}, D-017/D-019), T_a\nbecomes near-singular and K(z,z) = \u27e8e_z, T_a\u207b\u00b9e_z\u27e9 becomes\nground-state-dominated \u2014 the regime of the SISTER conjecture (1.2)\n(v\u0302_a \u2192 \u03be, the lowest eigenfunction). If valley depth/locking responds\nto \u03bb \u2191 \u03bb_a\u207b, that is the consolidation channel; if not, the (\u2605) route\nvia this operator family is sterile at the measure level.\n\u2192 new task 2.13 (E-025): \u03bb-flow numerics.\n\n## 4. Honesty notes\n- \u03b8-independence is measured at a \u2264 12 and rests on the de Branges\n  mass formula 1/K(z_k,z_k) (Q-S2 identification; valley masses \u2248 1.00\n  is strong independent evidence for it).\n- The linear-K fit is 5-point but exact to 0.3% and mechanism-backed\n  (Szeg\u0151 genericity); tagged [NUMERICAL-VALIDATED].\n- E-024 does NOT close the \u03b8(a) question for the FUNCTION-level\n  statement (1.12) (phase alignment); it closes it for measure-level\n  consolidation.\n- The \u03bb\u2192\u03bb_a\u207b regime needs eigen-resolution ~e^{\u22121.65a} (a=12:\n  ~2.5e-9) \u2014 within demonstrated Galerkin reach (D-019 measured the\n  cliff to 1.7e-12 at a=5).\n\n## 5. Feeds\n- 2.9: the D1 chain (D-041) stands; the consolidation obstruction is\n  relocated from \u03b8(a) to the \u03bb-regime.\n- 2.13 (E-025): \u03bb-flow numerics \u2014 \u0394(a; \u03bb), locking metric, residual\n  R(a; \u03bb) as \u03bb \u2191 \u03bb_a\u207b; plus the (1.2)-conjecture observable v\u0302_a.\n- Paper: E-022/E-024/D-040\u2013D-042 form the spectral-measure section.\n",
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