Not evaluated
The joint critical Ashkin–Teller scaling limit (family 233)
The gist
On October 6, 2026, OpenAI presented a manuscript on the joint scaling limit of the critical currents of the Ashkin-Teller 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-233-joint-critical-ashkinteller-scaling-limit-r1
@misc{discoveria-oai-fam-233-joint-critical-ashkinteller-scaling-limit-r1,
author = {{DiscoverIA}},
title = {The joint critical Ashkin–Teller scaling limit (family 233)},
howpublished = {DiscoverIA registry, entry oai-fam-233-joint-critical-ashkinteller-scaling-limit},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-233-joint-critical-ashkinteller-scaling-limit#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 held up, it would describe the joint behaviour of these currents in the limit when the model is critical. The title does not say which precise statement is proved, nor under which assumptions.
What remains unclear
The manuscript was revised on October 7, 2026 (history.md): the new version corrects some arguments. No Lean (a language in which a computer checks every step of a proof) is provided, and no third-party assessment is recorded, so it is not known whether the result holds up.
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-joint-scaling-limit…link only, reading not recorded
Method
A single manuscript, “The joint scaling limit of critical Ashkin-Teller currents”, dated October 6, 2026, in the GitHub repository openai/math. The revision described in history.md corrects the “transmission” and “boundary-collar” arguments and updates the companion-paper citation. It replaces excursion convergence with a “signed-loop-soup/GMC” argument tied to the same limiting field. 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 233, section “Probability and statistical mechanics”, 1 manuscript dated Oct 6, 2026
- Lean proof
- none supplied
- 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 227 of 372, by family number
- Not evaluated : Exact Hausdorff measure for SLE (family 230)
- 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)
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