Not evaluated
All-temperature pressure for orthogonally invariant Ising spin glasses (family 234)
The gist
On October 6, 2026, OpenAI announced a manuscript on the all-temperature pressure of orthogonally invariant Ising spin glasses, 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-234-all-temperature-pressure-orthogonally-r1
@misc{discoveria-oai-fam-234-all-temperature-pressure-orthogonally-r1,
author = {{DiscoverIA}},
title = {All-temperature pressure for orthogonally invariant Ising spin glasses (family 234)},
howpublished = {DiscoverIA registry, entry oai-fam-234-all-temperature-pressure-orthogonally},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-234-all-temperature-pressure-orthogonally#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 30 s reading time, estimated
What it changes
An Ising spin glass is a system of two-state spins with disordered interactions. The interactions are orthogonally invariant when the distribution of their matrix does not change under an orthogonal change of basis. The pressure is a quantity from statistical physics that concerns the whole system; if the manuscript were correct, it would determine it whatever the temperature, in the form it states.
What remains unclear
The Lean (a language in which a computer checks every step of a proof) is supplied by OpenAI: the repository marks its review “unchecked”, and no third-party verification has been found. The sources read do not give the exact statement obtained.
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · github.com · 234.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 · All-temperature-pressure…link only, reading not recorded
- Lean proofgithub.com · 234.mdpage read word for word
- Lean proofgithub.com · InvariantIsing.leanlink only, reading not recorded
Method
The manuscript “All-temperature pressure for orthogonally invariant Ising spin glasses” is dated September 25, 2026; family 234 has only this one. The repository contains lean/docs/234.md and one Comparator statement (InvariantIsing.lean, in lean/ComparatorChallenges). The family is absent from the sources of formalization.yaml, and history.md reports no revision. 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: “describes the scope of the Lean formalization”).
Limits
No named third party: the recorded checks come from the claimant or from a platform tool. The claimant supplies a Lean proof; as of this date, DiscoverIA has found no independent verification of this proof or of the result.
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 234, section “Probability and statistical mechanics”, 1 manuscript dated Sep 25, 2026
- Lean proof
- supplied by the claimant, marked “unchecked” (not reviewed) in its repository
- Revisions
- none reported by the claimant
- Checked by
- claimant (Lean supplied, not checked by a third party)
- Sources
- 4 : 1 read word for word, 3 links only
- This entry
- AI draft, not reviewed
Status history
Only one observation so far.
- 01
First observation:Not evaluatedCurrent status
Family with a Lean proof supplied by the claimant. No third-party check read; the source marks this proof as not reviewed (“unchecked”).
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 228 of 372, by family number
- Not evaluated : The free uniform spanning forest is a factor of IID (family 231)
- Not evaluated : Gaussian fields and SLE interfaces for Lipschitz heights (family 232)
- Not evaluated : The joint critical Ashkin–Teller scaling limit (family 233)
- Not evaluated : All-temperature pressure for orthogonally invariant Ising spin glasses (family 234)
- Not evaluated : Random-SAT thresholds, sharp variance and computability (family 235)
- 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)
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