What was already known
Smith–Toda complexes were known at selected heights and primes, while existence at every height remained open. The manuscript uses a prime that may vary with the requested 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
Gives all-height Smith–Toda existence in ordinary finite p-local spectra when the prime may depend on height.
Limitations
It does not give one prime valid at every height, an explicit bound on p, or a multiplication on the final spectrum.
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