Not evaluated
Restricted geometric Langlands, generic Ramanujan and Arthur parameters (family 014)
The gist
On October 6, 2026, OpenAI published eight manuscripts, from an unreleased internal model, on restricted geometric Langlands, generic Ramanujan and Arthur parameters.
DiscoverIA status on October 12, 2026: not evaluated, meaning no third-party evaluation found.
AI draft, not reviewedWhat has not been reviewed?
Text written by an AI (DiscoverIA pipeline), on . The status and its sources come from the registry; only the explanatory text has not been reviewed. A reported error is corrected, then the text is reviewed.
Cite this entry
A single status snapshot since Oct 12, 2026: a citation always points to a dated snapshot.
Cite snapshot 1, Oct 12, 2026
APA citation with the dated link
BibTeX @misc, key discoveria-oai-fam-014-restricted-geometric-langlands-generic-r1
@misc{discoveria-oai-fam-014-restricted-geometric-langlands-generic-r1,
author = {{DiscoverIA}},
title = {Restricted geometric Langlands, generic Ramanujan and Arthur parameters (family 014)},
howpublished = {DiscoverIA registry, entry oai-fam-014-restricted-geometric-langlands-generic},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-014-restricted-geometric-langlands-generic#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
If the manuscripts were correct, they would deal, going by their titles, with the restricted geometric Langlands equivalence in positive characteristic (a setting where, by adding the unit enough times, you get back to zero), with tame Hecke eigensheaves and with Arthur filtrations.
What remains unclear
No Lean (a language in which a computer checks every step of a proof) is supplied and no independent assessment is recorded. The sources read say neither what each manuscript claims exactly nor where the question stood before the announcement.
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · github.com · README.md
Step 1 of 4 on the scale: not evaluated. Next step: under review.
- Announced
- Recordednot evaluated
- nextTo follow
What this status means
Source reading : Source read word for word (level 3 of 3)
The result is declared neither right nor wrong.
To move to “Under review”: a public review under way. To “Peer reviewed”: a journal publication or a review by named experts.
Sources
- Main sourcegithub.com · CONTENTS.mdlink only, reading not recorded
- Repositorygithub.com · Global-Arthur…link only, reading not recorded
- Repositorygithub.com · Rationality-of-the…link only, reading not recorded
- Repositorygithub.com · Ramanujan-Arthur…link only, reading not recorded
- Repositorygithub.com · Temperedness-at-ramified…link only, reading not recorded
- Repositorygithub.com · The-Restricted-Geometric…link only, reading not recorded
- Repositorygithub.com · Constructible-tame-Hecke…link only, reading not recorded
- Repositorygithub.com · Tame-Hecke-Eigensheaves…link only, reading not recorded
- Repositorygithub.com · Frobenius-Structures-on…link only, reading not recorded
Method
The openai/math repository files family 014 under the “Number theory” section of overview.tex: three manuscripts of September 24, 2026 (“The Restricted Geometric Langlands Equivalence in Positive Characteristic”, “Rationality of the Canonical Unramified Arthur Filtration” and “Ramanujan-Arthur Decompositions of Cuspidal Functions at Full Finite Level”) and five of October 5, 2026. There is no lean/docs/014.md file, and history.md reports no revision of these manuscripts. DiscoverIA status: not evaluated, meaning that no third-party evaluation has been found in the sources read. Set on October 12, 2026 from github.com (page read, quotation checked word for word: “Not all have accompanying Lean formalizations.”).
Limits
DiscoverIA has not checked this result itself.
Key facts
- Claimed by
- OpenAI (unreleased internal model)
announced on Oct 6, 2026 - Nature
- new result
- Field
- Mathematics (Number theory)
- In openai/math
- family 014, section “Number theory”, 8 manuscripts dated Sep 24, 2026
- Lean proof
- none supplied
- Revisions
- none reported by the claimant
- Checked by
- no verifier identified
- Sources
- 9 : 9 links only
- This entry
- AI draft, not reviewed
Status history
Only one observation so far.
- 01
First observation:Not evaluatedCurrent status
Family with no Lean proof supplied. No third-party evaluation read.
Source: github.comread word for word
An observation is added; none is ever erased.
In the same set
openai/math: 719 manuscripts in 372 families from an unreleased internal model · entry 14 of 372, by family number
- Not evaluated : The Ford–Konyagin–Luca conjecture on prime predecessors (family 011)
- Not evaluated : Independent largest prime factors of consecutive integers (family 012)
- Not evaluated : Ostmann's inverse Goldbach conjecture (family 013)
- Not evaluated : Restricted geometric Langlands, generic Ramanujan and Arthur parameters (family 014)
- Not evaluated : Torus-packet equidistribution in prime, quartic, and sextic degrees (family 015)
- Not evaluated : Zilber–Pink in abelian varieties and the Siegel threefold (family 016)
- Not evaluated : OpenAI claims the irrationality exponent of π is 2 (family 017)
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