Not evaluated
The finite Benson–Etingof–Ostrik conjecture (family 208)
The gist
In its release of October 6, 2026, OpenAI presents a manuscript on fibre functors for finite symmetric tensor categories in positive characteristic.
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-208-finite-bensonetingofostrik-conjecture-r1
@misc{discoveria-oai-fam-208-finite-bensonetingofostrik-conjecture-r1,
author = {{DiscoverIA}},
title = {The finite Benson–Etingof–Ostrik conjecture (family 208)},
howpublished = {DiscoverIA registry, entry oai-fam-208-finite-bensonetingofostrik-conjecture},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-208-finite-bensonetingofostrik-conjecture#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
The manuscript is filed in the family of the finite Benson–Etingof–Ostrik conjecture. If its result held, it would bring a result linked to that conjecture, whose statement the sources read do not give.
What remains unclear
No formalisation in Lean (a language in which a computer checks every step of a proof) is supplied for this family, and no third-party evaluation is recorded. The sources read do not say what the manuscript establishes exactly about the conjecture.
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 · Fiber-functors-for-finite…link only, reading not recorded
Method
The openai/math repository contains a single manuscript for this family: “Fiber functors for finite symmetric tensor categories in positive characteristic”. It is dated September 24, 2026 and filed in the section “Algebra” of overview.tex. history.md reports no revision of this manuscript. 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 (Algebra)
- In openai/math
- family 208, section “Algebra”, 1 manuscript dated Sep 24, 2026
- Lean proof
- none supplied
- Revisions
- none reported by the claimant
- Checked by
- no verifier identified
- Sources
- 2 : 2 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 202 of 372, by family number
- Not evaluated : Saxl's conjecture and universal tensor squares (family 205)
- Not evaluated : Finite lattice representation: counterexamples and undecidability (family 206)
- Not evaluated : The ℓ¹-Bass and complex Bass trace conjectures (family 207)
- Not evaluated : The finite Benson–Etingof–Ostrik conjecture (family 208)
- Not evaluated : Integral counterexamples to Gersten’s conjecture (family 209)
- Not evaluated : Foulkes’ conjecture for sixth powers and quadratic stabilization (family 210)
- Not evaluated : Geometry, diffusion, and spectra of random planar maps (family 211)
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