[{"type":"thinking","thinking":"Clean compile, zero undefined refs, 9 pages. Commit the paper updates (ii′-7c), then ii′-7d (archive closure).\n\nFor ii′-7d:\n1. **D-037 line-63 erratum pointer** — the D-037 derivation file (research/derivations/D-037-*.md) — add an erratum note pointing at the Lean-closed corrections (F-A 2N→4F, F-B C₀→Z₂, F-D \"3.3\"→DogLegRight, F-E I_I kernel). Let me find the D-037 file.\n2. **NGUYEN.md checklist** — mark ii′-6 complete (all sub-stages), ii′-7 complete; update the Phase 5B header (ACTIVE → COMPLETE); the result ledger #6 tag (R-004 — the Lean status line changes from \"Lean-verified modulo SfBoundProp + perimeter\" to \"fully machine-proved modulo the 8 declared hypotheses\"); the §5 theorem-status block in STATE.md similarly.\n3. **STATE.md** — full resume-point rewrite at the new endpoint.\n4. **Journal** — research/journal/session-041.md with the session narrative.\n5. Commit everything.\n\nNote: git status shows the user's uncommitted correspondence files (lagarias-F-D-package) — leave those alone (user's own work).\n\nLet me find the D-037 file first.","signature":""},{"type":"text","text":"Clean compile (9 pp, zero undefined refs). Committing ii′-7c, then archive closure."},{"type":"tool_use","id":"Bash_230","name":"Bash","input":{"command":"cd \"D:/Python/Quantum\" && git add research/paper/paperA.tex research/paper/paperA.pdf && git -c user.name=\"NGUYEN-RH-1\" -c user.email=\"research@local\" commit -m \"$(cat <<'EOF'\nii′-7c: Paper A closure — Appendix B rewrite (second tier COMPLETE) + the B(n) correction note (F-A/F-B/F-D/F-E)\n\npaperA.tex (compiles clean, 9 pp, zero undefined refs):\n- Abstract/intro: \"three named hypotheses\" → \"eight named hypotheses\"\n  (two computational certificates + six declared analytic inputs), the\n  traced contour bound |S_f(n)| ≤ B(n) itself machine-proved.\n- §3 Step 2: the B(n) display corrected to the Lean-closed form\n  (4F(T) not 2N; (2/3)Z₂(T) not (2/3)C₀(T); 2(e⁴+1)·7H(T) +\n  2·DL(n) replacing 2(e⁴+1)[7H(T)+3.3]; I_I → I_Maj(n)) + a footnote\n  correction note documenting all four findings: F-A both-signs\n  factor-2, F-B two-unit count, F-D the broken (6.12) stepping at\n  T = √n (envelope ~e^{0.066√n}, E-031) repaired by the zero-free\n  dog-leg at (3/2)√n (D-074, N₁ = (T₀−1)² unchanged), F-E the I_I\n  kernel charged e^{1/3}·I_Maj absorbed by the 2π normalization.\n- §3 Step 3: the bridge |λ_n(T)| ≤ 4F(T) (both signs).\n- Appendix B: second tier COMPLETE — SfBoundProp machine-proved\n  (tier ii′), lambda_pos_finite_height_closed from exactly eight named\n  hypotheses; the six analytic inputs enumerated (ZeroCountProp,\n  ZeroCountProp2, ZeroCountGlobalProp, NoLowZeros, MZeroProp); the\n  full complex-analytic content list (rectInt'_Jlag,\n  partialFraction_identity, the tight R-bound, sf_eq_resW1, the\n  dog-leg, LiSideBounds, the fold); the \"remaining target (ii′)\"\n  paragraph replaced by the closure account.\n- AI Contribution Statement: minimal factual refresh (ledger sessions\n  001–041, closure declarations, the D-071/D-072/D-074 corrections).\nEOF\n)\" && git log --oneline -1","description":"Commit ii′-7c paper closure"},"extra_content":null}]