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OpenAI claims major proofs in math, computing and quantum physics

OpenAI said outside experts will review the claims as the company releases math proofs and funds independent work on the findings.

  • On Monday, OpenAI announced an internal model produced a claimed refutation of the Exponential Time Hypothesis, releasing the model's write-up and a Lean-verified proof on GitHub.
  • To manage scrutiny, OpenAI enlisted external experts to act as "shepherds" guiding the results. Russell Impagliazzo, Ramamohan Paturi, and Ryan Williams lead an independent group examining the ETH claim.
  • Beyond the ETH refutation, the model produced a proof of the local smoothing conjecture in every dimension, resolving the Kakeya conjecture. OpenAI also claims a rigorous proof for certain interacting quantum field theories in four dimensions.
  • The AGMAI panel of math advisers advised yesterday against designating specific people to receive output first, citing "unequal access, borrowed reputation, and biased selection" as primary concerns.
  • OpenAI committed $5m to the Simons Foundation for workshops on AI-produced results. Researchers are debating how credit should recognize AI discoveries versus human verification work.
Insights by Ground AI

39 Articles

Center

OpenAI's official publication proposes a change in the relationship between AI and scientific research.

Lean Left

OpenAI reports new successes of its AI. It has solved three old riddles of mathematics, computer science and quantum physics.

·Berlin, Germany
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Lean Right

The company has released its findings through a press release on the novelties in harmonic analysis, computational complexity theory and quantum field theory.

·Madrid, Spain
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OpenAI AI models refuted the exponential time hypothesis and proved the local smoothing hypothesis.

·Kyiv, Ukraine
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agendadigitale.eu broke the news on Monday, October 26, 2026.
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