What was already known
The triangular-lattice near-critical scaling limit and critical Poisson–Voronoi box-crossing and quenched concentration estimates were known. A scalar critical crossing formula alone did not identify the joint conditional threshold process under one monotone coupling.
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
If correct under its stated critical input, transfers near-critical crossing universality from the triangular lattice to typical Poisson–Voronoi geometries.
Limitations
The theorem explicitly assumes the scalar critical Voronoi Cardy formula, supplied in a companion manuscript; this record does not claim an unconditional result. Each model uses its own deterministic mean-pivotal normalization, and the Poisson convergence is in probability over geometries. No completed independent check was documented.
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