Not evaluated
The double-dimer CLE_4 conjecture in the half-plane (family 226)
The gist
OpenAI claims, in an announcement of October 6, 2026, a result on the CLE_4 conjecture for double dimers in the half-plane, in one manuscript.
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-226-double-dimer-cle-4-conjecture-half-plane-r1
@misc{discoveria-oai-fam-226-double-dimer-cle-4-conjecture-half-plane-r1,
author = {{DiscoverIA}},
title = {The double-dimer CLE_4 conjecture in the half-plane (family 226)},
howpublished = {DiscoverIA registry, entry oai-fam-226-double-dimer-cle-4-conjecture-half-plane},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-226-double-dimer-cle-4-conjecture-half-plane#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, it would describe the scaling limit of the curves formed by double dimers in a half-plane, the setting of the CLE_4 conjecture. The scaling limit is the shape these curves take when the mesh of the lattice becomes very small.
What remains unclear
No Lean is supplied for this family and no third-party evaluation has been read. It is not known what the manuscript claims exactly about the CLE_4 conjecture: its title does not mention it.
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-curve-scaling-limit…link only, reading not recorded
Method
One manuscript, “The curve scaling limit of half-plane double dimers”, dated September 23, 2026. history.md reports no revision of this manuscript. 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 226, 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 220 of 372, by family number
- 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)
- Not evaluated : Sharp three- and four-state reconstruction thresholds (family 229)
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