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The announcement, from the company's own account. The post itself links to nothing and carries an illustration of a spiralling, stretching fluid; the write-up and the Lean formalization are on OpenAI's own announcement page. Read it against what is not in it: no mention of Diego Córdoba and Luis Martínez-Zoroa, whose programme the route belongs to, or of Buckmaster and Alpöge, who published on it that morning. Being certified in Lean is a claim about the argument holding together, not about who got there first.
OpenAI
We're sharing a solution to the Navier-Stokes Millennium Prize Problem, one of the deepest problems at the frontier of mathematics.
The proof was produced by a group of agents, using an OpenAI next-generation model significantly more capable than GPT-6 Astra.
The problem concerns whether the description of smooth three-dimensional fluid motion modeled by the Navier-Stokes equations can break down. It has remained unresolved for roughly 90 years.
OpenAI's post on X, curated on eChai
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