AnalysisScienceJuly 23, 2026

Claude Fable 5 cracks 87-year-old Jacobian Conjecture

Anthropic researcher Levent Alpöge used Claude Fable 5 to identify a hand-checkable counterexample to the Jacobian Conjecture, open since 1939; it was quickly empirically validated. The problem ranks as Smale's #16 challenge for the 21st century, and full peer review is still pending.

Featured · Levent Alpöge

How this story unfolded

9 days · 1 report · 3 community posts · from Jul 20

  1. Jul 20
  2. Jul 23
  3. Jul 29

Daily brief

Get tomorrow's AI brief in your inbox

More stories today

Open the live feed