What was already known
Earlier results covered curves and higher-dimensional cases under additional geometric or height conditions; the unrestricted abelian-variety statement remained open in the manuscript’s account.
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 abelian Zilber–Pink finiteness conjecture in arbitrary dimension.
Limitations
The theorem concerns torsion cosets in abelian varieties and gives no effective or uniform bound. No completed external or machine check of this manuscript’s full argument is documented here.
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, prior-work, and scoped checking review for non-notifying local inclusion.
Read this published revision