What was already known
Height-one calculations and selected height-two large-prime computations gave finite-generation cases. Hovey and Hovey–Strickland asked whether the degreewise conclusion holds at every prime and height.
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 degreewise finite-generation question for the K(n)-local sphere in all heights and primes.
Limitations
No uniform bound is asserted on generator count or torsion order as p, n or t varies. The finite-spectrum extension follows by exact sequences.
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