OpenAI released 719 manuscripts of claimed solutions to hard math problems this week and included the model's chain of thought for only ten of them. The advisory group of mathematicians OpenAI consulted had set verification standards the lab's release misses on several counts.
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- Incentives55
- Confidence60
OpenAI released hundreds of results on open problems in math and theoretical computer science, many already verified in the Lean programming language. Those are all but certain to be correct, so the months of reading ahead are about whether they hold new ideas.
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- Evidence62
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OpenAI's Lean code for its Navier-Stokes proof loosens a bound set in the written paper
Cambridge and King's College London mathematicians say the Lean code for OpenAI's Navier-Stokes proof states a weaker step than the written paper. Both proofs may hold up, but Lean verifies only the code it is given, so a person still has to check that the code matches the text.
Reality
- Evidence62
- Adoption
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- Incentives40
- Confidence60
arXiv caps submitters at two papers a month after a 51% jump in submissions
arXiv now limits each submitter to two papers a month after September submissions reached 40,363, up 51% on a year earlier. Mathematicians blame AI-generated papers and say moderation has fallen behind.
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buildOne report1 publisher Claude agents' 13-million-line Fermat proof shrinks human review to one statement and three axioms
Anthropic published a 13-million-line Lean 4 proof of Fermat's Last Theorem that dozens of Claude agents wrote in 11 days. For teams weighing agents on correctness-critical code, the kernel checks every step, so what humans still review is the statement being proved.
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Anthropic's own account has dozens of agents writing 13 million machine-checked lines in 11 days, about 7% of them dead ends, and only after a Columbia team built the shared to-do list that stopped them duplicating work.
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Kevin Buzzard holds a five-year grant to do the same job by hand. He compiled Anthropic's 13 million lines himself and says the result teaches mathematicians nothing and anyone running agent fleets quite a lot.
Reality
- Evidence75
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- Hype gap+20
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- Confidence70
Anthropic says its Claude agents ran autonomously for 11 days to formalise Fermat's Last Theorem in 13 million lines of Lean, a result that rests on a finished human proof and 2 million lines of prior formalisation.
Reality
- Evidence58
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- Confidence64
The build fails unless the theorem rests on exactly Lean's three standard axioms, and an independent kernel written in Rust re-checked more than a million declarations. The eleven-day timeline rests on Anthropic's own account.
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- Evidence76
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- Hype gap+14
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- Confidence70