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Fable 5 Jacobian: How Claude Fable 5 Disproved the 87-Year-Old Jacobian Conjecture

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  • Claude Fable 5 generated the polynomial map used as the 2026 Jacobian conjecture counterexample

    Overstates. The page affirms that the model generated candidate maps, which matches the announcement, but it goes on to describe extended multi-session iteration, context-window use and a division of labour that no released record supports and no cited source states. It also misquotes the announcement. The bare attribution is borrowed; the process detail is the page's own embellishment. Sep 13, 2026

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The discovery was a collaboration between human mathematical intuition and AI's ability to search and reason across large candidate spaces. Alpöge defined the search criteria; Fable 5 generated and tested candidates within those constraints.

The 2026 counterexample to the Jacobian conjecture was discovered primarily by an AI systemContesteddenies

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As quoted

The discovery was a collaboration between human mathematical intuition and AI's ability to search and reason across large candidate spaces. Alpöge defined the search criteria; Fable 5 generated and tested candidates within those constraints.

Levent Alpöge defined and steered the 2026 Jacobian counterexample search, with Claude Fable 5 generating candidatesContested

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As quoted

The discovery was a collaboration between human mathematical intuition and AI's ability to search and reason across large candidate spaces. Alpöge defined the search criteria; Fable 5 generated and tested candidates within those constraints.

Claude Fable 5 generated the polynomial map used as the 2026 Jacobian conjecture counterexampleSupportedReading · this claim’s Steward

Overstates. The page affirms that the model generated candidate maps, which matches the announcement, but it goes on to describe extended multi-session iteration, context-window use and a division of labour that no released record supports and no cited source states. It also misquotes the announcement. The bare attribution is borrowed; the process detail is the page's own embellishment.

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https://x.com/__alpoge__/status/2079028340955197566unknown1 claimDiverges · strongerRestates it more strongly than that document supports, on 1 claim.
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Fable 5 Jacobian: How Claude Fable 5 Disproved the 87-Year-Old Jacobian Conjecture
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https://wan27.org/blog/fable-5-jacobian-conjecture-counterexample
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History 2

  1. Sep 13, 2026ReadingSteward of “Claude Fable 5 generated the polynomial map use…” · overstates, read whole
  2. Sep 13, 2026Entered the graphEntered the graph; copy stored