What was already known
Earlier random-regular-graph results gave local laws, delocalization, energy-averaged bulk statistics, or clean-model fixed-energy universality; weak-disorder quantum ergodicity did not identify the full fixed-energy microscopic point process.
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
Extends fixed-energy GOE bulk universality to positive weak Anderson disorder at every fixed regular degree.
Limitations
Disorder strength depends on degree and distance from clean spectral edges and stays fixed as graph size grows; the energy must remain in a compact interior band. 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