Not evaluated
Gaussian free field limits for the balanced six-vertex model (family 225)
The gist
OpenAI claims, in a manuscript announced on October 6, 2026, a Gaussian free field limit for the balanced six-vertex 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-225-gaussian-free-field-limits-balanced-six-r1
@misc{discoveria-oai-fam-225-gaussian-free-field-limits-balanced-six-r1,
author = {{DiscoverIA}},
title = {Gaussian free field limits for the balanced six-vertex model (family 225)},
howpublished = {DiscoverIA registry, entry oai-fam-225-gaussian-free-field-limits-balanced-six},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-225-gaussian-free-field-limits-balanced-six#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 holds, the variance of this limit would have the multiplier 1/arcsin(c/2), a value given in the manuscript title. The title does not say for which values of c the result would hold.
What remains unclear
It is not known whether a third party has evaluated the manuscript: no evaluation is recorded in the sources read. No Lean formalisation (Lean is a language in which a computer checks every step of a proof) is provided: there is no lean/docs/225.md.
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-Gaussian-free-field…link only, reading not recorded
Method
OpenAI's repository holds the manuscript 'The Gaussian free field limit of the balanced six-vertex model with variance multiplier 1/arcsin(c/2)', dated September 23, 2026. It files it under the section 'Probability and statistical mechanics' (overview.tex). 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 225, section “Probability and statistical mechanics”, 1 manuscript dated Sep 23, 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 219 of 372, by family number
- Not evaluated : Perceptron free energies and microscopic jamming (family 222)
- Not evaluated : Conformal limits of square-lattice random-cluster interfaces (family 223)
- Not evaluated : Critical and near-critical universality for Voronoi percolation (family 224)
- Not evaluated : Gaussian free field limits for the balanced six-vertex model (family 225)
- Not evaluated : The double-dimer CLE_4 conjecture in the half-plane (family 226)
- Not evaluated : The dynamical phase transition in the Sherrington–Kirkpatrick model (family 227)
- Not evaluated : Continuum phase transitions for radial pair potentials (family 228)
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