Not evaluated
Bloch's law and spontaneous ferromagnetic order (family 271)
The gist
On October 6, 2026, OpenAI announced four Heisenberg ferromagnet manuscripts: Bloch's law in three dimensions, its first correction, a spherical magnetization law, spontaneous magnetization.
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-271-blochs-law-spontaneous-ferromagnetic-order-r1
@misc{discoveria-oai-fam-271-blochs-law-spontaneous-ferromagnetic-order-r1,
author = {{DiscoverIA}},
title = {Bloch's law and spontaneous ferromagnetic order (family 271)},
howpublished = {DiscoverIA registry, entry oai-fam-271-blochs-law-spontaneous-ferromagnetic-order},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-271-blochs-law-spontaneous-ferromagnetic-order#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 a Heisenberg ferromagnet, small quantum magnets (the spins), placed on a lattice, tend to align. If these manuscripts held up, they would bring results on the spontaneous magnetization of this model and on Bloch's law for finite-range Heisenberg ferromagnets in three dimensions. The titles do not state the exact form of these laws.
What remains unclear
OpenAI itself supplies the Lean (a language in which a computer checks every step of a proof), and its review is marked “unchecked”. No third-party check or evaluation has been read.
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · github.com · 271.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 · Blochs-Law-for-Finite…link only, reading not recorded
- Repositorygithub.com · The-first-lattice…link only, reading not recorded
- Repositorygithub.com · The-spherical…link only, reading not recorded
- Repositorygithub.com · Spontaneous-magnetization…link only, reading not recorded
- Lean proofgithub.com · 271.mdpage read word for word
- Lean proofgithub.com · Heisenberg.leanlink only, reading not recorded
Method
Four manuscripts are published: “Bloch's Law for Finite-Range Heisenberg Ferromagnets in Three Dimensions”, “The first lattice correction to Bloch's law” and “The spherical magnetization law for the three-dimensional quantum Heisenberg ferromagnet” (October 5, 2026), then “Spontaneous magnetization in the quantum Heisenberg ferromagnet” (September 24, 2026). A reasoning summary, reasoning_traces/spontaneous-magnetization-quantum-heisenberg-ferromagnet.pdf, accompanies the family. OpenAI supplies lean/docs/271.md and 1 Comparator statement, lean/ComparatorChallenges/Heisenberg.lean. 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 (Mathematical physics)
- In openai/math
- family 271, section “Mathematical physics”, 4 manuscripts dated Sep 24, 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
- 7 : 1 read word for word, 6 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 265 of 372, by family number
- Not evaluated : The spin-one Haldane gap (family 268)
- Not evaluated : The Laughlin gap and stability under scalar disorder (family 269)
- Not evaluated : Threshold and positive-energy bound states of the BFSS model (family 270)
- Not evaluated : Bloch's law and spontaneous ferromagnetic order (family 271)
- Not evaluated : Entanglement without secret key and the PPT-square conjecture (family 272)
- Not evaluated : The entropy photon-number inequality (family 273)
- Not evaluated : Moore's parity conjecture for QAC⁰ (family 274)
Report an error or suggest a source
Thank you, your message was sent.
Sending failed. Try again, or write to contact@discoveria.ai.
Is your result listed?What each status requires, correcting this entry, replying to it.