What was already known
Esnault–Groechenig proved integrality for cohomologically rigid local systems, and de Jong–Esnault obtained prime-by-prime integral l-adic existence without full-ring density over one field. Coccia–Litt proved full-ring potential density in rank two under related hypotheses; Litt asked whether one number field suffices in general (manuscript introduction, History and relation to previous work, pp. 2–3).
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
Answers the determinant-one curve case of Litt’s potential integral-density question in every rank with exact quasi-unipotent boundary conditions.
Limitations
Integrality is measured in the ambient character variety; exact boundary classes are imposed on the complex representation and need not persist as strict classes after reduction at each finite prime. The theorem does not cover higher-dimensional varieties or general reductive groups.
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