What was already known
Gromov proposed the dimension-uniform integral estimate in 1986. Prior results treated additional geometric or topological hypotheses, including universal-cover spin cases and selected four-manifold classes.
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 general integral scalar-curvature inequality proposed by Gromov.
Limitations
The argument uses a separate companion manuscript’s nonnegative-scalar-curvature vanishing theorem as an input; this record assesses the stated integral inequality and does not independently check that input.
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