What was already known
Earlier work identified Brownian encodings and quantum-surface limits; walk convergence with time parametrization was known for mated-CRT maps but did not identify the exact clock for finite FK–Ising spheres.
AI involvement
OpenAI credits itself as manuscript author and states that its internal frontier model produced the results in this release. Individual human input is not detailed enough to establish task-only autonomy.
OpenAI is named as author on the manuscript, and its release attributes the results to an internal frontier model. The individual human input is not detailed enough to establish autonomy.
Importance
Identifies the intrinsic diffusion and exact deterministic clock for walks on finite critical FK–Ising maps.
Limitations
The result uses geometric and electrical convergence from companion manuscripts and any deterministic metric scale satisfying the stated map limit. The linked Lean scope checks a Brownian continuum-random-tree limit for q>4 FK maps, a different phase and claim.
Technical verification
Reported is the default when evidence for a higher level is insufficient. The OpenAI-authored manuscript reports and argues the result, but the reviewed sources do not document a completed check of the full assessed claim.
Human understanding
Few is the default when evidence for a higher level is insufficient. No named person is documented as explaining the central argument for this assessed contribution.
Correction and publication history
Primary manuscript, attribution, prior-work, and precise Lean-scope or conditional-input review for non-notifying local inclusion.
Read this published revision