Not evaluated
Yau's uniformization conjecture (family 338)
The gist
In its release of October 6, 2026, OpenAI presents a manuscript on the uniformization of complete Kähler manifolds with positive bisectional curvature, filed under Yau's uniformization 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-338-yaus-uniformization-conjecture-r1
@misc{discoveria-oai-fam-338-yaus-uniformization-conjecture-r1,
author = {{DiscoverIA}},
title = {Yau's uniformization conjecture (family 338)},
howpublished = {DiscoverIA registry, entry oai-fam-338-yaus-uniformization-conjecture},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-338-yaus-uniformization-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
If the manuscript were correct, it would advance this conjecture, a subject in differential geometry. Its result would still have to be placed against the general statement of the conjecture, which the sources read do not give.
What remains unclear
No proof in Lean (a language in which a computer checks every step of a proof) is supplied for this family, and no third-party verification is recorded. The sources read do not give the exact statement of the manuscript's result either.
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 · Uniformization-of…link only, reading not recorded
Method
The openai/math repository contains the manuscript “Uniformization of complete Kähler manifolds with positive bisectional curvature”, dated September 23, 2026. No lean/docs/338.md file is supplied; 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 (Differential geometry)
- In openai/math
- family 338, section “Differential geometry”, 1 manuscript dated Sep 23, 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 332 of 372, by family number
- Not evaluated : Gromov's integral scalar-curvature inequality (family 335)
- Not evaluated : Spectral scalar curvature and codimension-two width (family 336)
- Not evaluated : Cartan–Hadamard isoperimetry and CAT(0) fillings (family 337)
- Not evaluated : Yau's uniformization conjecture (family 338)
- Not evaluated : Katok's entropy rigidity conjecture (family 339)
- Not evaluated : Counterexample to the nearby Lagrangian conjecture (family 340)
- Not evaluated : Donaldson's hypersymplectic deformation conjecture (family 341)
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