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Erdős·erdos:90

Erdős Problem 90: The unit distance problem

problem formal record: solved source: disproved (Lean)$500 F2 declared

No independent check recorded yet. A formal artifact, declaration or published object is attached, but no rebuild of it is recorded here.

Fidelity F2: The statement corpus cites this proof against its own statement.

geometry, distances·Source

AI activity

How grades work
OpenAI internal model

20 May 2026

Full solution

full A3 V1 F2
Reasoning and sources

Autonomy

AI standalone; human involvement recorded as non-significant

Claude Mythos

26 May 2026

Full solution

full A3 V1 F2
Reasoning and sources

Autonomy

AI standalone; human involvement recorded as non-significant

GPT-5.5 Pro

9 Jun 2026·with Ingo Althöfer, Michael Emmerich, Paata Ivanisvili, Tomasz Kania, leloy, mlewko, Eric Naslund, norxornor, Will Sawin, Carl Schildkraut, spiderduckpig, Tseng

Improved explicit bound

full A1 V1 F2
Reasoning and sources

Autonomy

AI collaborating with humans

Aleph Prover

12 Jun 2026·supporting task

OpenAI internal model (2026)

full A1 V1 F2
Reasoning and sources

Autonomy

Secondary contribution: formalization

Details

proof to formalize: OpenAI internal model (2026)

F2 declared. The statement corpus cites this proof against its own statement.

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All discussion

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Formal material

Formal statements · 1
Cited proofs · 2

Recorded elsewhere

Compare the registries
  • vibemathed — Erdős's Planar Unit Distance Conjecture

    reviewed·joint·their labels: expert-verified, ai-co-developed

Also known as · 3
  • https://www.erdosproblems.com/90
  • https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/90.lean
  • FormalConjectures/ErdosProblems/90.lean

Cite this record

qed.bot, “Erdős Problem 90: The unit distance problem”, https://qed.bot/s/erdos-90, as of 30 Sep 2026.

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