Claude moved a bound that had not moved in years: 41.6 to 67.2. Journal reviews of the paper so far: zero.
The math looks real: formally checked, examined favorably by Conrey and Goldston. The autonomy story rides on a model nobody outside Anthropic can run.
"An unreleased research version of Claude raised the proven lower bound for the fraction of Riemann zeta zeros satisfying the hypothesis from 41.6% to 67.2%, working autonomously across two sessions with about 60 subagents." [SOURCE ↗]
THE MOVE: RENTED HALO, the achievement is real, the drama around it is borrowed
THE CLAIM. Anthropic says an unreleased research Claude improved the longstanding lower bound for the fraction of Riemann zeta zeros that satisfy the hypothesis from 41.6% to 67.2%, burning 650 failed ideas and 31 million output tokens across two agentic sessions.
THE CHECK. the evidence is unusually strong for a same-day lab announcement. Two Anthropic mathematicians validated the paper, Claude produced a formally verifiable proof, and outside experts Brian Conrey and Dan Goldston examined it favorably. But the paper has not been submitted to a journal, a short-notice examination is not peer review, and the whole run happened on an unidentified model nobody can rerun. The theorem is checkable. The capability story around it is not.
On August 10 Anthropic published a research note saying an unreleased version of Claude had improved one of the classic partial results around the Riemann hypothesis. The hypothesis, open since 1859, says every nontrivial zero of the zeta function sits on the critical line. What mathematicians can a
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