Not evaluated
Foulkes’ conjecture for sixth powers and quadratic stabilization (family 210)
The gist
On October 6, 2026, OpenAI announced two manuscripts: one on Foulkes' conjecture for the sixth symmetric power, the other on quadratic stabilization of the Foulkes–Howe map.
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-210-foulkes-conjecture-sixth-powers-quadratic-r1
@misc{discoveria-oai-fam-210-foulkes-conjecture-sixth-powers-quadratic-r1,
author = {{DiscoverIA}},
title = {Foulkes’ conjecture for sixth powers and quadratic stabilization (family 210)},
howpublished = {DiscoverIA registry, entry oai-fam-210-foulkes-conjecture-sixth-powers-quadratic},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-210-foulkes-conjecture-sixth-powers-quadratic#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 these manuscripts held up, they would bring new algebra results around Foulkes' conjecture. The titles state neither the exact statement claimed nor its scope.
What remains unclear
OpenAI itself supplies the Lean (a language in which a computer checks every step of a proof), and its review is marked “unchecked”. No third-party check or evaluation has been read.
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · github.com · 210.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 · Foulkes-Conjecture-for…link only, reading not recorded
- Repositorygithub.com · Quadratic-Stabilization…link only, reading not recorded
- Lean proofgithub.com · 210.mdpage read word for word
- Lean proofgithub.com · FoulkesHowe.leanlink only, reading not recorded
Method
The two manuscripts, dated September 25, 2026, are “Foulkes' conjecture for the sixth symmetric power” and “Quadratic stabilization of the canonical Foulkes--Howe map”. OpenAI supplies lean/docs/210.md and 1 Comparator statement, lean/ComparatorChallenges/FoulkesHowe.lean. The file history.md reports no revision. 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: “describes the scope of the Lean formalization”).
Limits
No named third party: the recorded checks come from the claimant or from a platform tool. The claimant supplies a Lean proof; as of this date, DiscoverIA has found no independent verification of this proof or of the result.
Key facts
- Claimed by
- OpenAI (unreleased internal model)
announced on Oct 6, 2026 - Nature
- new result
- Field
- Mathematics (Algebra)
- In openai/math
- family 210, section “Algebra”, 2 manuscripts dated Sep 25, 2026
- Lean proof
- supplied by the claimant, marked “unchecked” (not reviewed) in its repository
- Revisions
- none reported by the claimant
- Checked by
- claimant (Lean supplied, not checked by a third party)
- Sources
- 5 : 1 read word for word, 4 links only
- This entry
- AI draft, not reviewed
Status history
Only one observation so far.
- 01
First observation:Not evaluatedCurrent status
Family with a Lean proof supplied by the claimant. No third-party check read; the source marks this proof as not reviewed (“unchecked”).
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 204 of 372, by family number
- 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)
- Not evaluated : No bigeodesics and smooth limit shapes in planar first-passage percolation (family 212)
- Not evaluated : No infinite critical clusters on quasi-transitive graphs (family 213)
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