← Session 36 — ii′-6-DL dog-leg + side bounds; Paper A review
thinking (228 chars)
Now the D-037 erratum block addendum (the fifth correction — the certificate). And NGUYEN.md count fixes + the 3.2 entry's Misguich mention + perimeter description. And journal-042 + STATE.md. Let me do the D-037 addendum first.
Now the D-037 erratum addendum (the fifth correction — the certificate) and NGUYEN.md fixes.
tool: Edit
input
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"file_path": "D:\\Python\\Quantum\\research\\derivations\\D-037-finite-height-theorem.md",
"old_string": "> The authoritative B(n) is the Lean `Bn` (LiSkeleton): 4F(T) +\n> 4T[(2/3)Z\u2082(T) + 10.5 log(T+2) + 48] + 40\u00b71.3352 + 2(e\u2074+1)\u00b77H\u0302(T) +\n> 2\u00b7DogLegRight(n) + IIMaj(n) + 1, T = \u221an + 1. Paper A carries the same\n> correction note (ii\u2032-7c, footnote in \u00a73 Step 2).",
"new_string": "> The authoritative B(n) is the Lean `Bn` (LiSkeleton): 4F(T) +\n> 4T[(2/3)Z\u2082(T) + 10.5 log(T+2) + 48] + 40\u00b71.3352 + 2(e\u2074+1)\u00b77H\u0302(T) +\n> 2\u00b7DogLegRight(n) + IIMaj(n) + 1, T = \u221an + 1. Paper A carries the same\n> correction note (ii\u2032-7c, footnote in \u00a73 Step 2).\n>\n> **ERRATUM ADDENDUM (2026-08-26, session 042, user review \u2014 the fifth\n> correction: the finite-verification certificate).** This file's Step-5\n> citation \"Misguich\u2013Voros to 5\u00d710\u2075\" is RETRACTED: Voros's 2020 paper\n> (Exp. Math. 29(4):452\u2013469) verifies a DEFORMED Keiper\u2013Li sequence\n> \u039b_n (computed by G. Misguich, private communication 2017), NOT the\n> ordinary \u03bb_n, so the citation could not carry the finite splice.\n> (User's instruction: check theorem-by-theorem before letting a\n> citation carry the splice \u2014 confirmed against the paper's own text.)\n> Replacement certificate: **Johansson 2015 \u00a7 4.2** (Numer. Algor.\n> 69:253\u2013270) \u2014 rigorous interval-arithmetic computation of the\n> ORDINARY Keiper\u2013Li coefficients \u03bb_0\u2026\u03bb_{100000}, all positive\n> (\u03bb_100000 certified to ~2900 digits; \"shows agreement with Keiper's\n> conjecture (and the Riemann hypothesis)\") \u2014 covering the assembly's\n> hfinite branch n < 10\u2075 EXACTLY. The Lean perimeter `LiVerifiedUpTo`\n> was reduced from (5\u00b710\u2075) to (10\u2075) to match the checkable evidence\n> (commit 79c96f2); the theorem and the overlap picture (N\u2080 = 8\u00d710\u2074\n> covered by 1.25\u00d7; the n = 10\u2075 split met exactly) are unchanged.\n> Related novelty note found during the same check: the finite-height\n> STATEMENT has an unpublished precursor (Oesterl\u00e9 2000, prop. 2, cited\n> in Voros 2020: RH-to-T\u2080 \u27f9 \u03bb_n \u2265 0 for n \u2264 T\u2080\u00b2); the explicit,\n> machine-verified assembly remains, to our knowledge, without a\n> published predecessor."
}
raw content_json (database row)
[{"type":"thinking","thinking":"Now the D-037 erratum block addendum (the fifth correction — the certificate). And NGUYEN.md count fixes + the 3.2 entry's Misguich mention + perimeter description. And journal-042 + STATE.md. Let me do the D-037 addendum first.","signature":""},{"type":"text","text":"Now the D-037 erratum addendum (the fifth correction — the certificate) and NGUYEN.md fixes."},{"type":"tool_use","id":"Edit_328","name":"Edit","input":{"replace_all":false,"file_path":"D:\\Python\\Quantum\\research\\derivations\\D-037-finite-height-theorem.md","old_string":"> The authoritative B(n) is the Lean `Bn` (LiSkeleton): 4F(T) +\n> 4T[(2/3)Z₂(T) + 10.5 log(T+2) + 48] + 40·1.3352 + 2(e⁴+1)·7Ĥ(T) +\n> 2·DogLegRight(n) + IIMaj(n) + 1, T = √n + 1. Paper A carries the same\n> correction note (ii′-7c, footnote in §3 Step 2).","new_string":"> The authoritative B(n) is the Lean `Bn` (LiSkeleton): 4F(T) +\n> 4T[(2/3)Z₂(T) + 10.5 log(T+2) + 48] + 40·1.3352 + 2(e⁴+1)·7Ĥ(T) +\n> 2·DogLegRight(n) + IIMaj(n) + 1, T = √n + 1. Paper A carries the same\n> correction note (ii′-7c, footnote in §3 Step 2).\n>\n> **ERRATUM ADDENDUM (2026-08-26, session 042, user review — the fifth\n> correction: the finite-verification certificate).** This file's Step-5\n> citation \"Misguich–Voros to 5×10⁵\" is RETRACTED: Voros's 2020 paper\n> (Exp. Math. 29(4):452–469) verifies a DEFORMED Keiper–Li sequence\n> Λ_n (computed by G. Misguich, private communication 2017), NOT the\n> ordinary λ_n, so the citation could not carry the finite splice.\n> (User's instruction: check theorem-by-theorem before letting a\n> citation carry the splice — confirmed against the paper's own text.)\n> Replacement certificate: **Johansson 2015 § 4.2** (Numer. Algor.\n> 69:253–270) — rigorous interval-arithmetic computation of the\n> ORDINARY Keiper–Li coefficients λ_0…λ_{100000}, all positive\n> (λ_100000 certified to ~2900 digits; \"shows agreement with Keiper's\n> conjecture (and the Riemann hypothesis)\") — covering the assembly's\n> hfinite branch n < 10⁵ EXACTLY. The Lean perimeter `LiVerifiedUpTo`\n> was reduced from (5·10⁵) to (10⁵) to match the checkable evidence\n> (commit 79c96f2); the theorem and the overlap picture (N₀ = 8×10⁴\n> covered by 1.25×; the n = 10⁵ split met exactly) are unchanged.\n> Related novelty note found during the same check: the finite-height\n> STATEMENT has an unpublished precursor (Oesterlé 2000, prop. 2, cited\n> in Voros 2020: RH-to-T₀ ⟹ λ_n ≥ 0 for n ≤ T₀²); the explicit,\n> machine-verified assembly remains, to our knowledge, without a\n> published predecessor."},"extra_content":null}]