Not evaluated
Conformal universality for weakly interacting and disordered Ising models (family 218)
The gist
In its release of October 6, 2026, OpenAI claims, using an unreleased internal model, conformal universality for Ising models with weak interactions or weak disorder.
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-218-conformal-universality-weakly-interacting-r1
@misc{discoveria-oai-fam-218-conformal-universality-weakly-interacting-r1,
author = {{DiscoverIA}},
title = {Conformal universality for weakly interacting and disordered Ising models (family 218)},
howpublished = {DiscoverIA registry, entry oai-fam-218-conformal-universality-weakly-interacting},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-218-conformal-universality-weakly-interacting#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 these results held, they would cover several variants of the Ising model: with weak interactions (two manuscripts) and with weak disorder (three manuscripts). This model is made of small magnets with two orientations, which influence their neighbours.
What remains unclear
The Lean (a language in which a computer checks every step of a proof) was supplied by OpenAI itself, and its formalization.yaml file marks it “unchecked”. No third-party verification is recorded, and the sources read do not indicate which manuscript the Lean statement covers.
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · github.com · 218.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 · Quenched-SLE3-limits-for…link only, reading not recorded
- Repositorygithub.com · Quenched-SLE3…link only, reading not recorded
- Repositorygithub.com · Logarithmic-Relative…link only, reading not recorded
- Repositorygithub.com · Conformal-universality-of…link only, reading not recorded
- Repositorygithub.com · SLE3-universality-for…link only, reading not recorded
- Repositorygithub.com · Buffered-comparison-and…link only, reading not recorded
- Lean proofgithub.com · 218.mdpage read word for word
- Lean proofgithub.com · BufferedIsing.leanlink only, reading not recorded
Method
The openai/math repository contains 6 manuscripts for this family, dated September 23 and October 5, 2026. The file lean/docs/218.md describes the Lean formalisation, with 1 Comparator statement (lean/ComparatorChallenges/BufferedIsing.lean). The family is absent from the `sources` of formalization.yaml; 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 218, section “Probability and statistical mechanics”, 6 manuscripts dated Sep 23, 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
- 9 : 1 read word for word, 8 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 212 of 372, by family number
- Not evaluated : Massive continuum limits and exact mass asymptotics for planar O(n) models (family 215)
- Not evaluated : Critical logarithmic corrections and BKT scaling for the planar XY model (family 216)
- Not evaluated : The low-temperature Sherrington–Kirkpatrick fluctuation law (family 217)
- Not evaluated : Conformal universality for weakly interacting and disordered Ising models (family 218)
- Not evaluated : GOE universality for random regular graphs with weak disorder (family 219)
- Not evaluated : Directional zero–one laws and ballisticity in random environments (family 220)
- Not evaluated : The Mézard–Parisi formula for diluted spin glasses (family 221)
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