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.

By Underlines Team

Focusing Facts

  1. OpenAI deployed ~10,000 parallel agents from Aug 28–Sept 3, spending “millions of dollars” in compute, to generate the proof certified in Lean.
  2. 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2026 a preprint proving finite-time blow-up for frictionless Euler equations, using LLM help, and claim they stored unpublished drafts inside OpenAI’s Codex.
  3. OpenAI says it will not seek the Clay Institute’s $1 million Millennium Prize despite asserting a complete solution.

See how 3 sources reported this story.

Where they agree. Where they disagree. What they left out.

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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
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