Not evaluated
The low-temperature Sherrington–Kirkpatrick fluctuation law (family 217)
The gist
On October 6, 2026, OpenAI announced 2 manuscripts on the low-temperature Sherrington–Kirkpatrick model: a free-energy limiting law and a fluctuation scale.
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-217-low-temperature-sherringtonkirkpatrick-r1
@misc{discoveria-oai-fam-217-low-temperature-sherringtonkirkpatrick-r1,
author = {{DiscoverIA}},
title = {The low-temperature Sherrington–Kirkpatrick fluctuation law (family 217)},
howpublished = {DiscoverIA registry, entry oai-fam-217-low-temperature-sherringtonkirkpatrick},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-217-low-temperature-sherringtonkirkpatrick#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
In the Sherrington–Kirkpatrick model, spins (small magnets pointing up or down) interact in pairs with randomly drawn strengths. If the manuscripts held, they would describe, at low temperature, the limit of the free energy and the scale of some fluctuations.
What remains unclear
No Lean (a language in which a computer checks every step of a proof) is supplied, and no third-party evaluation is read in the sources. They do not say what each of the 2 manuscripts proves.
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 · …free-energy-limiting-law…link only, reading not recorded
- Repositorygithub.com · …fluctuation-scale…link only, reading not recorded
Method
2 manuscripts dated September 24, 2026: “The low-temperature Sherrington–Kirkpatrick free-energy limiting law” and “The low-temperature Sherrington–Kirkpatrick fluctuation scale”. The family is filed under the section “Probability and statistical mechanics” (overview.tex), with no lean/docs/217.md. 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 217, section “Probability and statistical mechanics”, 2 manuscripts dated Sep 24, 2026
- Lean proof
- none supplied
- Revisions
- none reported by the claimant
- Checked by
- no verifier identified
- Sources
- 3 : 3 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 211 of 372, by family number
- Not evaluated : The Benjamini–Schramm nonuniqueness conjecture (family 214)
- 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)
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