Not evaluated
The Mézard–Parisi formula for diluted spin glasses (family 221)
The gist
On October 6, 2026, OpenAI published a manuscript, dated September 23, 2026, devoted to the Mézard–Parisi formula for diluted spin glasses.
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-221-mezardparisi-formula-diluted-spin-glasses-r1
@misc{discoveria-oai-fam-221-mezardparisi-formula-diluted-spin-glasses-r1,
author = {{DiscoverIA}},
title = {The Mézard–Parisi formula for diluted spin glasses (family 221)},
howpublished = {DiscoverIA registry, entry oai-fam-221-mezardparisi-formula-diluted-spin-glasses},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-221-mezardparisi-formula-diluted-spin-glasses#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 add a new result on the Mézard–Parisi formula. This formula concerns diluted spin glasses, a topic in probability and statistical mechanics (the physics of systems made of very many particles).
What remains unclear
No third party is recorded as a checker, and the Lean (a language in which a computer checks every step of a proof) is supplied by OpenAI itself, marked “unchecked”. The sources read do not say which precise statement the manuscript establishes, nor whether it covers the whole formula.
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · github.com · 221.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-Mezard-Parisi-formula…link only, reading not recorded
- Lean proofgithub.com · 221.mdpage read word for word
- Lean proofgithub.com · DilutedSpin.leanlink only, reading not recorded
Method
OpenAI publishes in its openai/math repository the manuscript “The Mézard–Parisi formula for diluted spin glasses”, dated September 23, 2026, the only one of family 221. It comes with a reasoning summary (reasoning_traces/mezard-parisi-formula.pdf). Lean supplied: lean/docs/221.md and lean/ComparatorChallenges/DilutedSpin.lean (1 Comparator statement); the family is absent from the `sources` of formalization.yaml. 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 221, section “Probability and statistical mechanics”, 1 manuscript 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
- 4 : 1 read word for word, 3 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 215 of 372, by family number
- 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)
- 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)
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