Not evaluated
Eisenbud–Green–Harris and lex-plus-powers in characteristic zero (family 200)
The gist
On October 6, 2026, OpenAI announced two algebra manuscripts: one on an Artinian lex-plus-powers Betti theorem, the other on the Artinian Eisenbud–Green–Harris conjecture.
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-200-eisenbudgreenharris-lex-plus-powers-r1
@misc{discoveria-oai-fam-200-eisenbudgreenharris-lex-plus-powers-r1,
author = {{DiscoverIA}},
title = {Eisenbud–Green–Harris and lex-plus-powers in characteristic zero (family 200)},
howpublished = {DiscoverIA registry, entry oai-fam-200-eisenbudgreenharris-lex-plus-powers},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-200-eisenbudgreenharris-lex-plus-powers#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 two new results. The titles do not state the exact scope of each manuscript.
What remains unclear
No Lean (a language in which a computer checks every step of a proof) is supplied for this family: there is no lean/docs/200.md. It is not known whether third parties have evaluated these texts.
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 · The-Artinian-Lex-Plus…link only, reading not recorded
- Repositorygithub.com · Commuting-Division…link only, reading not recorded
Method
Two manuscripts dated September 23, 2026 are published in the openai/math repository: “The Artinian Lex-Plus-Powers Betti Theorem” and “Commuting Division-Coefficient Forms and the Artinian Eisenbud--Green--Harris Conjecture”. The file history.md reports no revision for this family. 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 200, section “Algebra”, 2 manuscripts dated Sep 23, 2026
- Lean proof
- none supplied
- Revisions
- none reported by the claimant
- Checked by
- no verifier identified
- Sources
- 3 : 3 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 194 of 372, by family number
- Not evaluated : Torsion-free group algebras that are not directly finite (family 197)
- Not evaluated : A counterexample to the little finitistic-dimension conjecture (family 198)
- Not evaluated : Counterexamples to conjectures of Auslander–Reiten, Tachikawa, and Nakayama (family 199)
- Not evaluated : Eisenbud–Green–Harris and lex-plus-powers in characteristic zero (family 200)
- Not evaluated : A counterexample to Kurosh's division-ring problem (family 201)
- Not evaluated : The blockwise Alperin weight conjecture (family 202)
- Not evaluated : Donovan's conjecture over fields and discrete valuation rings (family 203)
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