Current task: —

← Session 18 — Lean tier (ii): finite-height proof + certified base points

#797 assistant 2026-08-20 20:13:33.689 UTC · 812→739 tok open ⤢
thinking (838 chars)
Committed. The paperA.pdf is untracked — is draft.pdf gitignored? STATE.md handoff said "draft.pdf is gitignored". Let me check .gitignore — paperA.pdf shows as untracked (??), meaning PDFs aren't globally ignored, only draft.pdf specifically perhaps. Should the PDFs be committed? Prior practice: draft.pdf gitignored. Consistent: add paperA.pdf/paperB.pdf to .gitignore or leave untracked. Leave untracked (don't touch .gitignore without need — actually, hmm, they show as untracked clutter. The cleanest: leave them untracked like before — the gitignore apparently covers draft.pdf only; prior sessions left .bbl/.blg untracked too. Consistent behavior: leave. But paperA.pdf is the deliverable artifact — the user might want it tracked? Prior practice says gitignored. Leave untracked; the user can ask. Done. Summarize for the user.
Split executed and committed (`c39adb5`). Final state: ## Paper A — `research/paper/paperA.tex` (8 pp, compiles clean, zero undefined refs) **"An explicit finite-height Li-positivity theorem with a machine-verified assembly"** — exactly the self-contained artifact the reviewer described: - Retargeted abstract/intro: single contribution, with the Lean headline stated up front — *three named hypotheses* (Platt–Trudgian certificate, finite Li verification, and the single named analytic bound `SfBoundProp`), axiom profile = 3 standard axioms, no `sorry` in the Li chain. - §3 = R-004 with the full five-step proof sketch including the reconciled margin-trail footnote (16 020 → 15 764 → ≥ 8 001 certified). - §4 obstruction analysis (trimmed to Paper-A-relevant walls; G-004 moved to Paper B). - Appendix A: Li-coefficient numerics. Appendix B: formal verification (final three-hypothesis form; tier ii′ declared post-publication). ## Paper B — `research/paper/paperB.tex` (6 pp skeleton, compiles clean) The spectral-line note (Suzuki factorization + valley theorem + spectral numerics), opening with the **§0 standing-items box** carrying the three review items explicitly: (1) trace R-003's tempered-FT bookkeeping + o(eᵃ) or demote to Proposition; (2) L3/L4 open (converse = proof skeleton); (3) authorship policy. ## Housekeeping - `draft.tex` frozen with a superseded header (pre-split combined archive copy, still compiles, 12 pp). - Two repairs caught along the way: NGUYEN.md's §9 header (accidentally eaten by my earlier log edit — restored and verified) and an imprecise obstruction lead-in. - Author block carried verbatim to both papers except one typo fix ("fromAnthropic" → "from Anthropic") — authorship content untouched; that policy question stays flagged as yours. - Journal-013, STATE.md, NGUYEN.md archive map + session log, research.db — all current. **Recommended next**: your read-through of `paperA.pdf` before anything circulates. Optional polish queued: figures from the numerics CSVs, E-023b (acb M₀ certificate). Paper B's checklist and the (★) research opening wait in STATE.md's NEXT ACTION when you're ready.
raw content_json (database row)
[{"type":"thinking","thinking":"Committed. The paperA.pdf is untracked — is draft.pdf gitignored? STATE.md handoff said \"draft.pdf is gitignored\". Let me check .gitignore — paperA.pdf shows as untracked (??), meaning PDFs aren't globally ignored, only draft.pdf specifically perhaps. Should the PDFs be committed? Prior practice: draft.pdf gitignored. Consistent: add paperA.pdf/paperB.pdf to .gitignore or leave untracked. Leave untracked (don't touch .gitignore without need — actually, hmm, they show as untracked clutter. The cleanest: leave them untracked like before — the gitignore apparently covers draft.pdf only; prior sessions left .bbl/.blg untracked too. Consistent behavior: leave. But paperA.pdf is the deliverable artifact — the user might want it tracked? Prior practice says gitignored. Leave untracked; the user can ask.\n\nDone. Summarize for the user.","signature":""},{"type":"text","text":"Split executed and committed (`c39adb5`). Final state:\n\n## Paper A — `research/paper/paperA.tex` (8 pp, compiles clean, zero undefined refs)\n\n**\"An explicit finite-height Li-positivity theorem with a machine-verified assembly\"** — exactly the self-contained artifact the reviewer described:\n\n- Retargeted abstract/intro: single contribution, with the Lean headline stated up front — *three named hypotheses* (Platt–Trudgian certificate, finite Li verification, and the single named analytic bound `SfBoundProp`), axiom profile = 3 standard axioms, no `sorry` in the Li chain.\n- §3 = R-004 with the full five-step proof sketch including the reconciled margin-trail footnote (16 020 → 15 764 → ≥ 8 001 certified).\n- §4 obstruction analysis (trimmed to Paper-A-relevant walls; G-004 moved to Paper B).\n- Appendix A: Li-coefficient numerics. Appendix B: formal verification (final three-hypothesis form; tier ii′ declared post-publication).\n\n## Paper B — `research/paper/paperB.tex` (6 pp skeleton, compiles clean)\n\nThe spectral-line note (Suzuki factorization + valley theorem + spectral numerics), opening with the **§0 standing-items box** carrying the three review items explicitly: (1) trace R-003's tempered-FT bookkeeping + o(eᵃ) or demote to Proposition; (2) L3/L4 open (converse = proof skeleton); (3) authorship policy.\n\n## Housekeeping\n\n- `draft.tex` frozen with a superseded header (pre-split combined archive copy, still compiles, 12 pp).\n- Two repairs caught along the way: NGUYEN.md's §9 header (accidentally eaten by my earlier log edit — restored and verified) and an imprecise obstruction lead-in.\n- Author block carried verbatim to both papers except one typo fix (\"fromAnthropic\" → \"from Anthropic\") — authorship content untouched; that policy question stays flagged as yours.\n- Journal-013, STATE.md, NGUYEN.md archive map + session log, research.db — all current.\n\n**Recommended next**: your read-through of `paperA.pdf` before anything circulates. Optional polish queued: figures from the numerics CSVs, E-023b (acb M₀ certificate). Paper B's checklist and the (★) research opening wait in STATE.md's NEXT ACTION when you're ready."}]