[{"type":"thinking","thinking":"DB registered. Now commit. Per handoff: `git -c user.name=\"NGUYEN-RH-1\" -c user.email=\"research@local\" commit`. Stage specific files (never git add -A — the paper build artifacts .bbl/.blg/.pdf are untracked and should NOT be added; check gitignore status of those... they show as untracked `??`, they weren't committed before — leave them).\n\nFiles to stage:\n- research/lean/NguyenRH1/NguyenRH1.lean\n- research/lean/NguyenRH1/NguyenRH1/LiMoments.lean\n- research/lean/NguyenRH1/Scratch.lean (modified — lemma probes; housekeeping pattern from session 037: they committed Scratch.lean changes)\n- research/lean/NguyenRH1/AuditSession038.lean\n- research/lean/NguyenRH1/audit-session038-axioms.txt\n- research/journal/session-038.md\n- STATE.md\n- NGUYEN.md\n- research/research.db\n\nCommit message per style: \"Session 038 (ii′-3b COMPLETE): the moments capstone sigmaP_eq_neg_iteratedDeriv_gFun_div PROVED (hZC-only)\". Recent commits style: \"Session 037 (ii'-3b STARTED): capstone audit + D-070 route revision + LiMoments s1-s4 (k=1 PROVED)\".","signature":""},{"type":"text","text":"Committing session 038."},{"type":"tool_use","id":"Bash_89","name":"Bash","input":{"command":"cd D:/Python/Quantum && git add research/lean/NguyenRH1/NguyenRH1.lean research/lean/NguyenRH1/NguyenRH1/LiMoments.lean research/lean/NguyenRH1/Scratch.lean research/lean/NguyenRH1/AuditSession038.lean research/lean/NguyenRH1/audit-session038-axioms.txt research/journal/session-038.md STATE.md NGUYEN.md research/research.db && git -c user.name=\"NGUYEN-RH-1\" -c user.email=\"research@local\" commit -m \"$(cat <<'EOF'\nSession 038 (ii′-3b COMPLETE): moments capstone sigmaP_eq_neg_iteratedDeriv_gFun_div (hZC-only)\n\nLiMoments.lean §5/§6 (~290 new lines, file ~1020 lines): the termwise\niterated derivation at 0 (zpow + seriesTerm derivative, the M-test on\nball(0, δ/2), iteratedDeriv_seriesFun_zero via the LiDigamma\niteratedDerivWithin_tsum pattern) + the capstone: sigmaP k =\n−gFun^{(k−1)}(0)/(k−1)! PROVED for ALL k ≥ 1 (D-070 route; perimeter\nZeroCountProp ONLY). LiTightR + LiMoments root-imported; full build\nGREEN (8770 jobs); audit session038: 23 decls, 3 standard axioms only.\nEOF\n)\" && git log --oneline -2","description":"Stage and commit session 038"},"extra_content":null}]