What was already known
Kapovitch and Mondino obtained an open manifold region with bi-Hölder charts around regular points. Bi-Lipschitz charts at every prescribed regular point, with the ambient distance, remained an explicit conjecture.
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
Strengthens regular-point geometry of noncollapsed RCD spaces to uniform bi-Lipschitz coordinates.
Limitations
The theorem concerns noncollapsed RCD(K,n) spaces and every point all of whose tangents are Euclidean; the neighborhood may depend on the point.
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 verification remains Reported.
Read this published revision