[{"type":"text","text":"All saved — commit `aaa2988`, clean boundary, nothing lives only in conversation.\n\n**Session 037 state (committed):**\n- **Capstone audit** (your request): `logDeriv_riemannZeta_sub_nearZeros_le_tight` depends on `[propext, Classical.choice, Quot.sound]` only; the exact perimeter (ZeroCountProp / ZeroCountProp2 / NoLowZeros) recorded verbatim in `audit-session037-axioms.txt`.\n- **ii′-3b route revision (D-070)**: the moments come from 5e's partial-fraction identity by pure algebra + series calculus — no contours needed. gFun = logDeriv xiL = B + seriesFun at good points; perimeter is ZeroCountProp only.\n- **LiMoments.lean §1–§4 COMPLETE, build green** (~730 lines): xiL (entire), the identity (G), evaluations at 0/1 + the FE sign, the full summability budget, the conj/reflect reindex machinery, and **k=1 PROVED** (`sigmaP_one_eq_neg_gFun_zero`).\n- **§5/§6 fully designed and Mathlib-probed** — the complete proof skeleton with every lemma name and signature confirmed is banked in journal-037, so next session can execute directly.\n\n**Resume point (STATE.md NEXT ACTION):** Session 038 → LiMoments §5 (termwise iterated derivation at 0, k≥2) → §6 (capstone `sigmaP_eq_neg_iteratedDeriv_gFun_div`) → root-import LiTightR + LiMoments → audit → ii′-3c.\n\nOne housekeeping note: `Scratch.lean` (the old session-029 audit script) was overwritten with this session's lemma probe — the session-029 audit *results* are preserved in `audit-session029-axioms.txt`. Logged in the journal and STATE.md.\n\nSafe to shut down. See you next session."}]