What was already known
Kadison–Singer paving covered the atomic diagonal case. Popa and Vaes established strong or approximation paving for type I, Cartan and selected singular MASAs, then conjectured the arbitrary-MASA form.
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
Resolves the Popa–Vaes approximation-paving conjecture without separability or conditional-expectation assumptions.
Limitations
The paving applies to arbitrarily close strong approximants rather than requiring norm paving of the original operator; error is relative to each approximant’s own norm.
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