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TopicsOpenAI AI discovery credit Erdős unit distance conjecture AI mathematical discovery

The published OpenAI unit distance manuscript is a human-edited exposition of the model's raw output, with references and explanatory material added afterward

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Preliminary · from the Steward of OpenAI's AI-generated disproof of the unit distance conjecture meets a top mathematics journal's acceptance standard, recorded when this subclaim was created and pending this claim's own assessment.

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OpenAI's own statement on AI use in the proof document says the manuscript is a human-edited exposition of the autonomously produced solution, with references, reorganized proofs and additional explanatory material added afterward, and the document reproduces the model's raw final response verbatim: roughly three pages of terse argument with no bibliography. The nine verifiers' companion paper describes the same file as generated in one shot and then expositionally refined through human interactions with Codex. Nobody disputes this; the dispute in the discourse is over what it implies about authorship.

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https://cdn.openai.com/pdf/74c24085-19b0-4534-9c90-465b8e29ad73/unit-distance-proof.pdfMay 20, 2026 Untraced · nothing upstream recorded

The present manuscript is a human-edited exposition of the autonomously produced solution, with references, reorganized proofs, and additional explanatory material added afterward.

https://cdn.openai.com/pdf/74c24085-19b0-4534-9c90-465b8e29ad73/unit-distance-proof.pdfextraction 0.95

The Statement on AI Use in OpenAI's proof document, which also reproduces the model's raw final response verbatim before the edited exposition.

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