What was already known
Earlier bounded-data estimates reached p > 13/4 by polynomial partitioning and p > 42/13 through Wang’s broom method. A related diagonal Lp(S) to Lp(R^3) estimate held for p > 22/7 but has a different input norm (manuscript introduction, pp. 1–2).
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
Reaches the sharp open exponent range for bounded-data spherical Fourier restriction in three dimensions.
Limitations
The claim is for bounded data on S^2. It excludes p = 3, which fails for constant input; it does not assert a full restriction theorem for arbitrary finite-Lq data.
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.
Read this published revision