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Claude's Fable Cracked an 87 Year Old Math Problem episode artwork

Jul 30, 2026 52 min

Claude's Fable Cracked an 87 Year Old Math Problem

from Pretrained Hosted by Pierce Freeman & Richard Diehl Martinez

A 100-year-old conjecture was proved false on a laptop during the World Cup final. Anthropic's Levent Alpoge used Claude Fable 5 to find a three-dimensional counterexample disproving the Jacobian conjecture - we break down what the Jacobian actually is (in Google Maps terms) and why Anthropic is the only lab that can see whether Claude was brilliant or lucky. Then: 50 companies including Nvidia, Microsoft, Meta, and a16z signed the Open Weights letter telling Washington hands off, OpenAI and Google quietly added their names a day later, and Anthropic is the lone holdout - while reportedly lobbying DC to restrict Chinese weights the whole time. Plus we do the math on the Kimi K3 distillation timeline: Fable 5 was live for 18 days before K3 shipped, so how much Claude is realistically in there?

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Claude's Fable Cracked an 87 Year Old Math Problem

0:00 52:28

Chapters

  1. 0:55 Intro
  2. 2:11 Disproving the Jacobian Conjecture with Claude Fable 5
  3. 21:56 The Open Weights Letter and the Case Against Anthropic
  4. 39:23 Does the Kimi K3 Distillation Timeline Add Up?
  5. 52:13 Outro

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This episode was published on July 30, 2026.

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