What was already known
Almost-everywhere regularity established that the singular set has zero m-dimensional measure. Brena, Decio and De Lellis posed the stronger Euclidean Hausdorff-dimension bound, which does not follow from measure zero.
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
Proves the sharp Euclidean codimension-one singular-set conjecture without stability or minimizing assumptions.
Limitations
The estimate is sharp for two m-planes intersecting along an (m−1)-plane. It concerns Euclidean ambient space and stationary integral varifolds.
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