Not evaluated
Sharp singularity rates for symmetric sign matrices (family 239)
The gist
In its release of October 6, 2026, OpenAI announces two manuscripts on the singularity rate of random symmetric matrices: Bernoulli matrices in one, biased sign matrices in the other.
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-239-sharp-singularity-rates-symmetric-sign-r1
@misc{discoveria-oai-fam-239-sharp-singularity-rates-symmetric-sign-r1,
author = {{DiscoverIA}},
title = {Sharp singularity rates for symmetric sign matrices (family 239)},
howpublished = {DiscoverIA registry, entry oai-fam-239-sharp-singularity-rates-symmetric-sign},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-239-sharp-singularity-rates-symmetric-sign#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 first manuscript held, the exponential singularity rate of symmetric Bernoulli matrices (with random two-valued entries) would be known precisely (“sharp”). If the second held, the same would go for the singularity rate of biased symmetric sign matrices.
What remains unclear
No Lean (a language in which a computer checks every step of a proof) is supplied for this family, and no third-party assessment is recorded.
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-sharp-exponential…link only, reading not recorded
- Repositorygithub.com · The-sharp-singularity…link only, reading not recorded
Method
The openai/math repository contains “The sharp exponential rate of singularity for symmetric Bernoulli matrices”, dated October 3, 2026. It also contains “The sharp singularity rate for biased symmetric sign matrices”, dated October 4, 2026. It contains no file lean/docs/239.md, and history.md reports no revision of these manuscripts. 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 (Probability and statistical mechanics)
- In openai/math
- family 239, section “Probability and statistical mechanics”, 2 manuscripts dated Oct 3, 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 233 of 372, by family number
- Not evaluated : The factor-of-IID threshold for free Ising states on trees (family 236)
- Not evaluated : The three-quarter diameter exponent for honeycomb walks (family 237)
- Not evaluated : Optimal logarithmic mixing of the Thorp shuffle (family 238)
- Not evaluated : Sharp singularity rates for symmetric sign matrices (family 239)
- Not evaluated : Shelah's eventual categoricity conjecture (family 240)
- Not evaluated : Rigidity of the Turing degrees (family 241)
- Not evaluated : Single-fold Diophantine representations (family 242)
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.