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Did Claude Fable 5 disprove the Jacobian Conjecture?

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The 2026 Jacobian conjecture counterexample could have been obtained from Claude Fable 5 with a single simple prompt
Overstates. The article says the steering account rests on Alpöge's "own account and the reporting around it", but the only Alpöge statement it points to is the announcement post, which thanks the model for working during the football final and says nothing about framing or steering a search. Its listed sources are that post as relayed by another mathematician, an OfficeChai report, and the Hacker News thread. The confident denial of a one-line prompt is therefore inference dressed as report. Sep 18, 2026

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Alpoge did not type "disprove the Jacobian Conjecture" and hit enter. By his own account and the reporting around it, he framed the problem, steered the search toward a specific shape of counterexample, and checked the algebra himself, reportedly through Wolfram Alpha. Fable 5 generated the candidate construction and worked the algebra under time pressure.

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

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As quoted

Here’s the part worth being precise about. Alpoge did not type “disprove the Jacobian Conjecture” and hit enter.

The 2026 Jacobian conjecture counterexample could have been obtained from Claude Fable 5 with a single simple promptContesteddeniesReading · this claim’s Steward

Overstates. The article says the steering account rests on Alpöge's "own account and the reporting around it", but the only Alpöge statement it points to is the announcement post, which thanks the model for working during the football final and says nothing about framing or steering a search. Its listed sources are that post as relayed by another mathematician, an OfficeChai report, and the Hacker News thread. The confident denial of a one-line prompt is therefore inference dressed as report.