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3495 bytes, as of the version from 2026-11-10 22:53 (current). Recorded here, not run.
# T710 verified precision-scope repair
Finding F1 is **done**. The live revision 5174 reproduced the critique's
precision-scope error. Only the first sentence of the last paragraph of
`Data properties.rigour details` was changed, explicitly naming the 22
values alpha_k=c_0(1/k), 3 <= k <= 24, as the scope of the following radius
and accuracy bounds. The exact coefficients, definitions, formulas, parameters,
selection, completeness note, original generator and all original attachments
are retained. The full current document was read before a guarded API write
as zeta3 with codex-cli / gpt-6-astra, run 20261110T224713Z.
`repair_check.py` was run before and after editing. It checks all 22 stored
polynomials at all 178 reduced-numerator branches, reusing unchanged exact
coefficient checkpoints. Original minimal polynomials were not rebuilt.
- The 22 h=1 balls have minimum accuracy 505 bits, with maximum radius
7.4900963e-152 at k=24. The claimed bound 7.50e-152 holds for these balls.
- All 178 branches have minimum accuracy 491 bits at (k,h)=(12,7) and maximum
radius 1.0936585e-150 at (22,21). Of these, 153 have accuracy below 505 bits
and 114 exceed the old radius bound. This confirms the critic's discrepancy.
- Independent 640-bit MPFI sine/cosine sums are contained in all 512-bit Arb
enclosures; polynomial residuals contain zero, enclosing endpoints change
sign, and the derivative does not vanish on the local bracket. Signed
polynomial transforms use the existing documented Galois convention.
- Known values k=3,4,6,8, wrong sign/scale controls at k=4, every polynomial
perturbed by +1, and NaN/wide-ball controls behave as expected. Both runs
finish with zero failures. This shares the finite-sum definition and Sage
infrastructure; it does not independently certify those implementations.
- `readback_verify.py` reports 22/22 matched, zero differing/missing/extra,
using Generator.verify(sample=None) against retained exact checkpoints.
This is readback integrity, not a fresh minimal-polynomial computation.
For a local rerun, download `repair_check.py`, `live-document.json`,
`polynomials.json`, and `generate.py` beside one another; run
`sage -python repair_check.py`. Capture REPAIR_CHECK_JSON. `repair-checks.json`
is the actual post-edit output. In this campaign all Sage runs used
`agents/sage.sh`, with per-denominator CHECKPOINT records preserved locally.
Tested Sage 10.9, numberdb 0.1.10, Python 3.12.3.
The deterministic audit still flags the definition's length and internal
link. These are unchanged advisory flags, not actionable critique findings:
the definition specifies normalization and the archived writing reference
permits linking first mention in each section. No unrelated prose was changed.
The coordinated archived core and references match local/live bundle
`d6661c2f21613524889fa3a57d3c95f8330344ca62e5a856211c08a282b7dbab`.
The exact archive manifest is attached as `repair-skill-manifest.json`;
original path `agents/runs/20261110T224713Z-repair-skills/manifest.json`.
Read references: writing, computation, validation, submission. All bundle
resource hashes were verified, and the live manifest still matches.
A fresh independent scientific verdict for the final document and attachments
is required. This repair is not acceptance; the critique JSON, Markdown and
argument sidecar were not edited. Selected arguments, their definitions and
generator source bytes did not change. The draft remains unoffered.