[{"type":"thinking","thinking":"Both build. Now the session documentation: journal-013, STATE.md, NGUYEN.md (archive map + session log), db session registration, commit.\n\njournal/session-013.md:","signature":""},{"type":"text","text":"Both build clean. Session documentation now."},{"type":"tool_use","id":"Write_217","name":"Write","input":{"file_path":"D:\\Python\\Quantum\\research\\journal\\session-013.md","content":"# Session 013 — 2026-08-20 — Paper A split + finalize\n\n## Directive\nUser (\"go go\") after reviewing the assessment of the mathematician's\nminor suggestions: execute the split recommendation — Paper A as a\nself-contained artifact, Paper B as a research-note skeleton carrying\nthe standing items.\n\n## Pre-split minor item (session-012-end-notes item 1) — DONE (10fdda6)\nNumber-trail note filed: D-062 §5 + LiBasePoints.lean header now carry\nthe one-line explanation that the dps-40 plan bound (> 9 960) and the\nLean-certified bound (≥ 8 001) differ by deliberate outward rounding\n(norm_num comfort); both suffice. NGUYEN.md session-log word collision\n(\"certified > 9 960\" for plan numbers) fixed to \"plan bounds > 9 960\".\n\n## The split (this session)\n- **paperA.tex** (NEW, 8 pp, compiles clean, zero undefined refs):\n  \"An explicit finite-height Li-positivity theorem with a\n  machine-verified assembly.\" Contents: retargeted abstract/intro\n  (single contribution + companion-note pointer + the three-named-\n  hypotheses Lean headline), Background (forward refs to the spectral\n  sections replaced by companion-note pointers; sanity gate retained),\n  §3 = the R-004 theorem with the full five-step proof sketch\n  (reconciled margin trail footnote included), §4 obstruction analysis\n  (Track A ceiling, G-001, G-003, ξ⁽ᵏ⁾ routes; the G-004 ground-state\n  bullet moved to Paper B), Appendix A = Li-coefficient machinery\n  (E-011/E-015/E-021/E-023/E-028), Appendix B = Formal verification\n  (three-hypothesis final form; remaining tier ii′ declared\n  post-publication).\n- **paperB.tex** (NEW, 6 pp, compiles clean): \"The Suzuki operator\n  line: exact factorization, spectral-measure equilibrium, and the\n  valley theorem (research note, in preparation).\" Opens with §0\n  STANDING ITEMS box (per the review): (1) Theorem R-003's\n  tempered-FT bookkeeping + o(eᵃ) — trace or demote to Proposition;\n  (2) L3/L4 open (converse = proof skeleton); (3) authorship policy.\n  Then §3.2/§3.3 content, the G-004 obstruction note, Appendix A =\n  spectral-measure numerics (E-016–E-027).\n- **draft.tex**: FROZEN with a superseded header comment (compiles\n  clean, 12 pp pre-split state retained as the combined archive copy).\n\n## Editorial decisions (flagged for the user)\n- Author block carried over verbatim to both papers EXCEPT one typo\n  fix: \"harness fromAnthropic\" → \"harness from Anthropic\" (thanks\n  footnote). Authorship itself untouched — journal-policy question is\n  the user's call at submission (standing item 3).\n- Paper A date bumped to 2026-08-20.\n- Paper A obstruction lead-in made precise (\"graveyard G-001--G-003;\n  derivations D-009--D-031\" — the bullets cite D-022/D-030/D-031,\n  outside the old D-009--D-013 range; the imprecision predates the\n  split and is fixed in Paper A only).\n\n## Audit-routine note\nPaper A's moved content is verbatim from the audited combined draft;\nthe NEW/CHANGED lines (abstract, intro, background paragraph, section\nlead-ins, Appendix B retargeting, date) were re-read in final form\nagainst the archive state (three hypotheses, axiom profile, no-sorry\nin the Li chain, margin trail numbers 16 020 / 15 764 / ≥ 8 001,\noverlap factor 5 at the 10⁵ split). All consistent.\n\n## Files\n- research/paper/paperA.tex, paperB.tex (NEW); draft.tex (frozen\n  header)\n- research/journal/session-013.md (this file); STATE.md; NGUYEN.md\n  (archive map + session log); research.db (session 13)\n\n## State at stop\nPaper A is a complete, self-contained, compile-clean artifact. Remaining\noptional polish (user's call): figures from numerics CSVs; E-023b acb\nM₀ certificate; a full read-through by the user before any circulation.\nPaper B checklist lives in its §0. Tier ii′ (contour formalization)\nremains post-publication.\n"},"extra_content":null}]