[{"type":"thinking","thinking":"The user is asking about ii′-3 status. In my earlier status summary I said \"ii′-3 (design) ✅\" and \"ii′-3a ✅\" — the checklist in NGUYEN.md shows `- [~] ii′-3 R2(iii) Lagarias (4.10)` — partially complete. Let me check closely.\n\nFrom NGUYEN.md §5 Phase 5B:\n\n```\n- [~] ii′-3 R2(iii) Lagarias (4.10): τ_j = c_j + (−1)ʲσ_{j+1} − (−1)ʲ\n      — LONG POLE. Sanity gate: j=0 is Σ1/ρ = 1 + γ/2 − ½log 4π.\n      → DESIGN COMPLETE (session 019, D-066): route **β4** ADOPTED\n      (contour moments + coefficient split) — β1 (Hadamard) ruled out\n      (...), β2 (EF reuse) ruled out (...). Factorization:\n      (4.10-a) ⟺ (M) moments σ_k = −g^{(k−1)}(0)/(k−1)! [contour] +\n      (A) τ_j = (−1)^{j+1}a_{j+1} [digamma] + (B) ζ-piece [done];\n      R-bound SHARED with ii′-5 ⟹ resequenced pipeline:\n      ii′-3a (A+B) → ii′-4 → ii′-5 → ii′-3b (moments) → ii′-3c\n      (assembly → crux). Piece (B) PROVED (session 019,\n      LiZetaCoeff.lean: iteratedDeriv_hLiExt — Taylor coefficients of\n      1/s + ζ′/ζ(1+s) at 0 are −j!·lcoeff j; 6 decls axiom-clean;\n      build 8747 jobs green). Piece (A) next: τ₀ via Mathlib\n      digamma_one_half; j ≥ 1 via digamma series from logGammaSeq.\n      **ii′-3a COMPLETE (session 020)**: piece (A) PROVED —\n      LiArchimedean.lean + LiDigamma.lean (~1200 lines): the capstone\n      `iteratedDeriv_logDeriv_Gammaℝ` — ...\n```\n\nSo ii′-3 was split (D-066 §5 resequencing) into:\n- ii′-3a: pieces A+B — COMPLETE (sessions 019–020)\n- ii′-3b: moments (M) — σ_k = −g^{(k−1)}(0)/(k−1)! via contour — NOT DONE (comes after ii′-5)\n- ii′-3c: assembly → crux (4.10) — NOT DONE\n\nSo the correct status is **partially complete [~]**: 3a done, 3b and 3c remain. The roadmap page shows `[~]` which is correct.\n\nWait — the user says \"roadmap page show as [~] ii′-3 R2(iii), there is no checkmark stated that is done.\" So the roadmap IS displaying `[~]`. That's the correct partial marker. My earlier status table listed \"ii′-3 (design) ✅\" and \"ii′-3a ✅\" which could have given the impression ii′-3 as a whole was done. The user wants me to double-check closely.\n\nLet me verify against the actual files:\n1. NGUYEN.md checklist entry (shown above — [~]).\n2. STATE.md — \"Remaining map (D-066 §5 resequencing): ii′-4 (L3+L1) → ii′-5 (R-bound) → ii′-3b (moments) → ii′-3c (assembly → crux) → ii′-6 → ii′-7.\" Confirms 3b/3c remain.\n3. Maybe check D-066 for the sub-stage split definition, and the journal-020 to confirm 3a completion.\n\nSo the answer: ii′-3 is PARTIALLY complete — split into 3a/3b/3c; 3a (pieces A+B: archimedean + ζ-piece coefficients) is fully proved in Lean; 3b (contour moments) and 3c (assembly) are pending, deliberately sequenced after ii′-4 and ii′-5 because the R-bound is shared. The `[~]` marker is correct; my earlier status table row \"ii′-3 (design) ✅\" referred only to the design sub-milestone, which may have been confusing.\n\nLet me double check the actual NGUYEN.md file to make sure the live file matches what's in the system context (it should — last commit was session 020 closure). And maybe glance at D-066 §5 to confirm the 3a/3b/3c split. Also check that the roadmap page now displays the `[~]` correctly (it should after my fix — it renders NGUYEN.md verbatim).\n\nThe user asked me to \"check closely\" — so let me read the actual NGUYEN.md section and D-066 to confirm, rather than relying on the context snapshot.","signature":""},{"type":"text","text":"Good catch — let me verify against the actual archive files rather than my summary."},{"type":"tool_use","id":"Grep_30","name":"Grep","input":{"-n":true,"output_mode":"content","path":"D:\\Python\\Quantum\\NGUYEN.md","pattern":"ii′-3"},"extra_content":null}]