2026-10-11 17:14 UTC

Expert review will determine whether GPT-5.6 Sol materially contributed to a valid proof of the Crouzeix conjecture reported in the linked mathematical account.

state: expiredheat: lowuncertainty: highknownscott: lowai-assisted-research frontier-models numerical-linear-algebraOpenAI

What is this?

The case alleges that a neurosurgery resident used OpenAI’s GPT-5.6 Sol while researching transcranial ultrasound to produce a proof of the Crouzeix conjecture, but the supplied snippets do not substantiate that account, identify the researcher, or provide the proof. They establish only that OpenAI presents GPT-5.6 Sol as a frontier coding model and that other reported GPT-5.6-assisted mathematical proofs remain subject to peer review or community verification. The search results chiefly concern the unrelated Cycle Double Cover Conjecture in graph theory, so they cannot establish either the validity of a Crouzeix proof or the model’s material contribution to it.

Why it matters to Scott

Scott already holds the relevant position in “The Reshape (Human Pivot + AI Proof)” and “Verification Loops,” while the radar already tracks closely analogous expert-review cases including “GPT-5.6 convex proof” and “Claude Hadamard 668 verification.” Because this account supplies neither the proof nor attributable evidence of the model’s contribution, it is currently another unverified example of an established pattern rather than information that would change what Scott builds or argues.
ip:framework.the-reshape-human-pivot-ai-proofip:concept.verification-loopsip:concept.mechanically-different-verifiersradar:gpt-5-6-convex-proofradar:claude-hadamard-668-verificationradar:concept.ai-mathematics
queries asked of Scott's wikis
  • AI-assisted mathematical discovery and expert verification
  • frontier models as research collaborators
  • formal proof systems and Lean verification
  • multi-agent reasoning for scientific research
  • standards for attributing AI research contributions
  • AI-generated claims versus independently validated results

Measured heat

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How the heat travelled

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Evidence (1) — ⭐ canonical anchor

sourceobjectauthorscorecomments
🟠 reddit ⭐Neurosurgery resident at a Peking College Hospital uses GPT 5.6 Sol to prove a 2 decades old mathematical conjecture underlying a major problem in numerical linear algebra — All for the purposes of his research on transcranial ultrasound.
singularity
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Interpretation history

Decision trace