What was already known
Bloch–Kas–Lieberman proved the integral assertion for surfaces outside general type. The remaining general-type problem concerns pg = q = 0, while earlier results handled particular constructions and quotient geometries (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
Resolves Bloch’s zero-cycle conjecture for all smooth projective complex surfaces with pg = 0.
Limitations
The claim concerns smooth connected projective complex surfaces and integral zero-cycles; the main new case is general type with pg = q = 0.
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