What was already known
The companion Fock-space paper gave a uniform unperturbed gap for the full spherical interaction. Earlier rigorous uniform gaps for truncated pseudopotentials applied to thin-cylinder or thin-torus models. Stability for the full spherical interaction under arbitrary bounded scalar profiles remained open.
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 a uniform disorder interval for the full spherical Laughlin parent Hamiltonian.
Limitations
The linked Lean note checks the unperturbed spherical gap, not stability or uniqueness after adding the projected scalar potential.
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 scoped checking review for non-notifying local inclusion.
Read this published revision