Not evaluated
P=W for fixed-determinant moduli spaces (family 043)
The gist
On October 6, 2026, OpenAI announced a result on “P=W” for fixed-determinant moduli spaces, from an unreleased internal model.
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-043-p-w-fixed-determinant-moduli-spaces-r1
@misc{discoveria-oai-fam-043-p-w-fixed-determinant-moduli-spaces-r1,
author = {{DiscoverIA}},
title = {P=W for fixed-determinant moduli spaces (family 043)},
howpublished = {DiscoverIA registry, entry oai-fam-043-p-w-fixed-determinant-moduli-spaces},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-043-p-w-fixed-determinant-moduli-spaces#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
A moduli space is a space in which each point represents an object of a given type. If the manuscript were correct, it would bring a new result on P=W, in composite rank with fixed determinant, according to its title.
What remains unclear
No Lean proof (checkable by computer) is supplied for this family, and no third-party assessment is recorded. The sources read do not say exactly what the manuscript claims or where the question stood before the announcement.
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 · P-equals-W-in-composite…link only, reading not recorded
Method
The openai/math repository contains one manuscript, “P=W in composite rank for fixed determinant”, dated September 24, 2026. The absence of Lean is inferred from the absence of a lean/docs/043.md file; 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 (Algebraic and complex geometry)
- In openai/math
- family 043, section “Algebraic and complex geometry”, 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 43 of 372, by family number
- Not evaluated : Bloch's conjecture for complex surfaces (family 040)
- Not evaluated : Hyperkähler SYZ and projective-space bases (family 041)
- Not evaluated : Oka classification for K3 surfaces and other compact complex surfaces (family 042)
- Not evaluated : P=W for fixed-determinant moduli spaces (family 043)
- Not evaluated : The equivariant cohomological Hikita conjecture for quivers (family 044)
- Not evaluated : Counterexamples to Shafarevich holomorphic convexity (family 046)
- Not evaluated : Complex counterexamples to cancellation and affine fibrations (family 047)
Report an error or suggest a source
Thank you, your message was sent.
Sending failed. Try again, or write to contact@discoveria.ai.
Is your result listed?What each status requires, correcting this entry, replying to it.