[{"type":"thinking","thinking":"Committed as d82711a. Now summarize for the user:\n\n1. Verification results (they asked me to verify first):\n   - Rosser Thm 19: CONFIRMED via PNTAnd blueprint (Thm 8.3.1 = \"Rosser 1941, Theorem 19\", T ≥ 1467, exact constants). Their suggestion was right.\n   - The N = F + S non-exactness: right — theta remainder; Trudgian-II Cor. 1 has the +0.2/T₀ form.\n   - Voros's deformed sequence: IS Λ_n in his notation (verified from arXiv:1703.02844 p.2) — and Voros's own Eq. (12) gives λ_n^L = n λ_n^K, independently confirming the factor-n relation from the previous revision.\n   - E-023 M₀ parameters: exact values from the script/sidecar (grid 0.002, dps 30, max 1.3323650, sampled Lipschitz 1.4075797, M0 = 1.3351802 → charged 1.3352).\n\n2. What changed (3 edits + MZeroProp doc).\n3. Build status: verified clean via jobname (13 pp, 0 overfull/undefined); paperA.pdf couldn't be regenerated because it's locked by their viewer — ask them to close it so I can rebuild + commit the PDF.\n4. Their verdict \"stop iterative rewriting, move to independent expert audit\" — acknowledge; the archive-side items remain flagged for the end protocol (Rosser misattribution sweep + 2+5 reclassification + Lean docstrings).\n\nKeep it tight.","signature":""},{"type":"text","text":"Committed as `d82711a`. Your suggestion was right on all three points — verification results first:\n\n**Verification (before any edit):**\n- **Rosser Thm 19 confirmed**: the PNTAnd blueprint states it exactly — Thm 8.3.1 = \"Rosser 1941, Theorem 19\": $|N(T) - (T/2\\pi)\\log(T/2\\pi e) - 7/8| \\le 0.137\\log T + 0.443\\log\\log T + 1.588$ for **T ≥ 1467** (with a note that Rosser–Schoenfeld 1962 has no such theorem). Your $N = P + S$ critique is also correct — the exact relation carries the theta remainder (Trudgian-II Cor. 1: $|N - P| \\le |S|$-bound $+ 0.2/T_0$, which I read directly in the PDF).\n- **Voros's notation verified** from arXiv:1703.02844: his deformed/discretized sequence is indeed $\\Lambda_n$ (his Eq. (36), Misguich reached $5\\cdot10^5$) — so the collision was real. Bonus: his Eq. (12) is $\\lambda_n^L \\equiv n\\lambda_n^K$, an independent published confirmation of the factor-$n$ relation; now cited.\n- **E-023 certificate parameters** pulled from the script + JSON sidecar: grid step 0.002 over $|t|\\le10$ at 30-digit dps, sampled max 1.3323650, sampled Lipschitz 1.4075797, one full-step allowance (the ×2 over $(h/2)L$), charged $M_0 = 1.3352$.\n\n**Edits made:** Step 2 and the Appendix B derivation note now use Rosser's Thm-19 $|N(T) - P(T)|$ bound with endpoint differencing $N(T_2)-N(T_1) \\le P(T_2)-P(T_1)+R(T_2)+R(T_1)$; $P(T)$ = classical main term, $F$ kept only for the enlarged majorant; $\\Lambda_n \\to \\kappa_n$ in Step 5 and the bib ($\\Lambda_n$ remains solely Voros's deformed sequence); MZeroProp's documentation now gives the exact certificate parameters and honestly flags the sampled (not interval-certified) Lipschitz ingredient, the additive-$40M_0$ slack, and the queued E-023b box-cover upgrade.\n\n**Build:** verified clean via a side jobname (13 pp, zero overfull, zero undefined refs/citations) — but **paperA.pdf itself couldn't be regenerated: it's locked by your open PDF viewer**. Close the viewer and tell me, and I'll rebuild + commit the fresh PDF (sources are already committed).\n\nNoted on your verdict: no further iterative rewriting after this. Remaining flagged items are archive-side only (the \"Trudgian 2014\" misattribution in D-036/D-037/NGUYEN.md/Lean docstrings/E-scripts + the 2+5 reclassification note) — for the session-end protocol whenever you're ready, and the independent expert audit of the seven perimeter instantiations + dog-leg is the next gate per your call."}]