{
  "command": "cd D:/Python/Quantum && for d in 200 400; do ./.venv/Scripts/python.exe -c \"\nimport mpmath as mp\nmp.dps = $d\nprint('$d', mp.nstr(mp.stieltjes(1000), 30))\n\"; done",
  "description": "Fresh-process stieltjes(1000) at two precisions",
  "timeout": 180000
}

# STATE.md — NGUYEN-RH-1 RESUME POINT
# ⭐ READ THIS FIRST at the start of every session.
Last updated: 2026-08-26 (session 044) | **PAPER A FROZEN FOR EXPERT
REVIEW.** Sessions 042–044 were paper-review rounds: 042 (certificate
retraction Misguich–Voros → Johansson 2015 § 4.2; SEVEN-hypotheses
recount; dog-leg §3.1; Appendix B signature/instantiation/dependency
chain; novelty hedged), 043 (three further revision rounds incl.
Rosser Thm-19 form + notation separation; E-023b interval-rigorous
MZeroProp; journal-043 NOT written — record in git log
4001c5d..eca7fab), 044 (five final wording items — abstract Keiper
precision, Step-3 trust-boundary narrowing, Theorem-2 seven-inputs
clause + post-theorem sentence corrected, "project-generated numerical
input", App-A E-023b heading; AI-statement ledger 001--041 →
001--044). **Frozen state: 13 pp, compiles clean, zero overfull
hboxes, zero undefined refs. Any further edit to paperA.tex re-opens
the honesty audit for the edited lines (D-060 §5).** NEXT: expert
review of the frozen paperA.pdf + submission decision.**

## SESSION 042 HEADLINES (review revision — see journal-042)
1. **Certificate RETRACTED + REPLACED (79c96f2)**: the user's top
   finding — Misguich–Voros (Voros 2020, Exp. Math. 29(4)) verifies a
   DEFORMED Keiper–Li sequence Λ_n (G. Misguich, private communication
   2017), not the ordinary λ_n, so the citation could not carry the
   finite splice. Verified against the paper's own text (arXiv
   1703.02844). Replacement: **Johansson 2015 § 4.2** (Numer. Algor.
   69:253–270, arXiv 1309.2877) — rigorous interval-arithmetic
   computation of the ORDINARY Keiper–Li coefficients λ_0…λ_{100000},
   all positive (λ_100000 certified to ~2900 digits). Lean perimeter
   `LiVerifiedUpTo` reduced (5·10⁵) → (10⁵) (the assembly's hfinite
   branch uses exactly n < 10⁵ — nothing else changes); rebuild GREEN
   (8775 jobs); audit re-run clean.
2. **Count caught by the user: EIGHT → SEVEN named hypotheses** (2
   computational: RHUpTo, LiVerifiedUpTo; 5 analytic: ZeroCountProp,
   ZeroCountProp2, ZeroCountGlobalProp, NoLowZeros, MZeroProp). Fixed
   in the paper (abstract/intro/App B + the verbatim signature),
   LiClosed docstrings, NGUYEN.md, R-004, this file.
3. **Theorem statement ↔ trust boundary aligned**: both Theorem
   environments now assume (i) RH verified to T₀ (Platt–Trudgian)
   (ii) λ_n > 0 for n ≤ 10⁵ (Step 5); Appendix B's new instantiation
   list maps each of the seven hypotheses to its cited