Technology & Science
OpenAI Unveils AI-Generated Proof of Navier-Stokes Blow-Up Amid Data-Theft Accusations
On 8 Sept 2026 OpenAI said an internal model produced a Lean-verified 100-page proof in 88 hours showing 3-D Navier-Stokes equations can develop finite-time singularities, but mathematicians who published related Euler results hours earlier allege the lab mined their private Codex drafts.
Focusing Facts
- OpenAI deployed ~10,000 parallel agents from Aug 28–Sept 3, spending “millions of dollars” in compute, to generate the proof certified in Lean.
- NYU’s Tristan Buckmaster and Anthropic’s Levent Alpöge posted on 7 Sept 2026 a preprint proving finite-time blow-up for frictionless Euler equations, using LLM help, and claim they stored unpublished drafts inside OpenAI’s Codex.
- OpenAI says it will not seek the Clay Institute’s $1 million Millennium Prize despite asserting a complete solution.
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Perspectives in this article
- Mainstream U.S. business & tech outlets
- International tech news sites skeptical of OpenAI
- Specialist science magazines highlighting human-AI collaboration