What changed
Progress on proportions of zeta zeros discovered by Claude and checked and communicated by researchers; subsequent papers give constants including 2/3, 5/6 and approximately 0.6725.
Scientific scope
Progress on proportions of zeta zeros discovered by Claude and checked and communicated by researchers; subsequent papers give constants including 2/3, 5/6 and approximately 0.6725. Scope limitation: The announcement’s 67.2% and later exact constants remain distinct. Multiplicity, simple zeros, distinct zeros and counting windows must not be conflated. This is not a full solution of the Riemann hypothesis.
Evidence
Assessment uses the catalogue-linked source evidence for the stated contribution. The announcement’s 67.2% and later exact constants remain distinct. Multiplicity, simple zeros, distinct zeros and counting windows must not be conflated. This is not a full solution of the Riemann hypothesis.
Contributors
- Levent Alpöge · SCIENCE: Named source contributor; exact labor shares are not measured.
- Ralph Furman · SCIENCE: Named source contributor; exact labor shares are not measured.
- The systems documented in the research record · EXECUTION: Source-reported system assistance within this scope; no provider attestation or independent agency is inferred.
- Anthropic, Learning more about Claude’s mathematical capabilities (10 Aug; updated 13 Aug 2026)
- Alpöge and Furman, More than two thirds of the zeta zeros are simple and on the critical line, arXiv:2608.13637v2
Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.
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B