OpenAI says its models disproved the Exponential Time Hypothesis and settled Kakeya and Yang-Mills results

In an October 26 post, OpenAI published three internal model results as raw research data for outside vetting: a disproof of the Exponential Time Hypothesis, Lean-formalized on October 17 and handed to a group led by Russell Impagliazzo, Ramamohan Paturi and Ryan Williams; a proof of the local smoothing conjecture in every dimension, resolving Kakeya and Stein restriction (Lean, October 19); and a rigorous existence proof for interacting four-dimensional gauge theories including QCD and pure Yang-Mills (Lean, October 16), shepherded by David Gross's group, which withheld the AI artifacts. OpenAI put the write-ups and Lean proofs on GitHub and asked external experts to own the results.