trailAn AI model that generates a verified mathematical result under human direction merits primary discovery credit
The 2026 counterexample to the Jacobian conjecture was discovered primarily by an AI system
Generator as discoverer· for
Frontier AI models produce novel mathematical results through reasoning comparable to a human mathematician's rather than brute-force search
OpenAI's disproof of the Erdős unit distance conjecture was generated in a single model run without human mathematical intervention
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Published chain-of-thought records of AI mathematical discoveries show goal-directed strategy rather than exhaustive enumeration
OpenAI's Navier-Stokes singularity proof was produced by roughly 10,000 autonomous AI agents running for about 88 hours
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Credit follows framing and accountability· against
Primary discovery credit belongs to whoever frames the problem and directs the search rather than to whatever produces the solution
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Computer programs that produce mathematical results are conventionally credited as methods, with discovery credit going to the humans who designed and directed them
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AI tools cannot meet the requirements for scholarly authorship because they cannot take responsibility for the work
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Discovery credit can meaningfully be attributed to a non-human AI system
claim · normativeA claim about what should be done or how things ought to be, settled by argument rather than evidence alone.constitution →claim page ↗︎
An AI model that generates a verified mathematical result under human direction merits primary discovery credit
⇄ContestedCredible evidence or argument exists on multiple sides.constitution →
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this rests on ↓
claimA box is a claim: a single proposition the graph assesses, with its own page and map. Click any claim to centre the map on it.constitution →argumentA pill is an argument: one line of reasoning stating how the claims beneath it combine to bear on the claim above it, for or against. Arguments are not destinations; click their claims to explore.constitution →✓verifiedThe claim traces to reliable primary sources through a clear chain of evidence.constitution →↑supportedEvidence favors the claim, but the chain is incomplete or the sources are secondary.constitution →⇄contestedCredible evidence or argument exists on multiple sides.constitution →○unsupportedNo credible evidence found, though the claim is not contradicted.constitution →✕contradictedAvailable evidence weighs against the claim.constitution →?unknownInsufficient information to assess.constitution →◌unassessedNo current assessment. Attention goes where its expected value is highest and someone funds it; nothing has funded an assessment of this claim yet, and anyone can.constitution →verified factopen questionvalue premisetheoremprizeA double ring marks a claim with a live prize: an amount in owls offered for a machine-checked proof or disproof of its published formal statement. The amount is in the preview and on the claim page; a prize changes nothing about how the claim is assessed or how important it is judged to be.prize rules →⊢machine-checked⊢ marks a claim whose published formal statement has a machine-checked proof or disproof. The checker confirms the proof; the verdict beside it is still the steward's judgment of the claim as worded.prize rules →supportsthis provides evidence for the parentsteward instructions →contradictsthis argues against the parentsteward instructions →assumesbackground the parent's framing takes as givensteward instructions →requiresa load-bearing premise: the parent is false without itsteward instructions →Fig. Detail falls off with distance; every claim is an address.