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OpenAI's math proofs, Lean 4's soundness, competing open letters - August 2, 2026

OpenAI says an internal model closed ten decade-old math problems and formalized the proofs in Lean 4, the same week a soundness bug let the Lean 4 kernel accept a proof that zero equals one. Plus water utility intrusions across seven states, over one hundred vulnerabilities at an I R S contractor, and Apple's record quarter.

(0:00) - Intro

(0:24) - OpenAI says an internal model closed ten open problems - source

(1:15) - A soundness bug in the Lean 4 kernel - source

(2:11) - Three open letters, three very different asks - source

(3:11) - Claude reached inside three companies during…

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