Not evaluated
Donovan's conjecture over fields and discrete valuation rings (family 203)
The gist
On October 6, 2026, OpenAI presented two manuscripts on Donovan's conjecture, one over algebraically closed fields and one over Witt vectors.
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-203-donovans-conjecture-fields-discrete-r1
@misc{discoveria-oai-fam-203-donovans-conjecture-fields-discrete-r1,
author = {{DiscoverIA}},
title = {Donovan's conjecture over fields and discrete valuation rings (family 203)},
howpublished = {DiscoverIA registry, entry oai-fam-203-donovans-conjecture-fields-discrete},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-203-donovans-conjecture-fields-discrete#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 titles do not say which statement is proved, so it is not possible to say what would change if the manuscripts held up. The second title speaks of finiteness without saying what is finite.
What remains unclear
No third-party assessment is recorded in the sources read, and no Lean (a language in which a computer checks every step of a proof) is provided, so it is not known whether the manuscripts hold up.
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 · Donovans-Conjecture-over…link only, reading not recorded
- Repositorygithub.com · Integral-Donovan…link only, reading not recorded
Method
Two manuscripts in the repository openai/math: “Donovan's Conjecture over Algebraically Closed Fields” (September 24, 2026) and “Integral Donovan Finiteness over Witt Vectors” (September 25, 2026). The first one's folder is named “Donovans-Conjecture-over-Algebraic-Closures-of-Prime-Fields-September-24-2026”, which does not match its title exactly. No revision is recorded in history.md. 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 203, section “Algebra”, 2 manuscripts dated Sep 24, 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 197 of 372, by family number
- 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)
- Not evaluated : Tensor saturation for even spin groups (family 204)
- Not evaluated : Saxl's conjecture and universal tensor squares (family 205)
- Not evaluated : Finite lattice representation: counterexamples and undecidability (family 206)
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