What was already known
Earlier work established macroscopic loops, delocalization, and logarithmic height variances for related weighted or uniform models; these roughness results did not identify the full limiting field.
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
Establishes the GFF field limit across the stated weighted regime, including its predicted critical endpoint.
Limitations
The boundary is zero and the domain/approximation regularity is specified; the normalization constant may depend on x, and the theorem does not settle the full loop-model phase diagram. No completed proof check was documented in the available sources.
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, and prior-work review for non-notifying local inclusion; technical check remains undocumented.
Read this published revision