Not evaluated
Classification by trace cones after Razak–Jacelon stabilization (family 301)
The gist
On October 6, 2026, OpenAI announced, from an unreleased internal model, a manuscript claiming that the trace cone classifies Razak–Jacelon stabilizations.
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-301-classification-trace-cones-after-r1
@misc{discoveria-oai-fam-301-classification-trace-cones-after-r1,
author = {{DiscoverIA}},
title = {Classification by trace cones after Razak–Jacelon stabilization (family 301)},
howpublished = {DiscoverIA registry, entry oai-fam-301-classification-trace-cones-after},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-301-classification-trace-cones-after#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 were correct, it would bring a new result in operator algebras, the field where OpenAI's repository files this family. The result would concern Razak–Jacelon stabilizations and their trace cone, not the field as a whole.
What remains unclear
The Lean (a language in which a computer checks every step of a proof) was supplied by OpenAI itself and carries the mark “unchecked” in formalization.yaml; no third-party verification is recorded. The sources read do not say whether this statement covers the whole manuscript.
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · github.com · 301.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-trace-cone-classifies…link only, reading not recorded
- Lean proofgithub.com · 301.mdpage read word for word
- Lean proofgithub.com · TraceIdealTransportSupport…link only, reading not recorded
Method
The openai/math repository holds a single manuscript for family 301, “The trace cone classifies Razak–Jacelon stabilizations”, dated September 25, 2026, with a Lean Comparator statement described in lean/docs/301.md and the file lean/ComparatorChallenges/TraceIdealTransportSupport.lean. For formalization.yaml: family present in the “sources”. According to history.md, no revision is reported for 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: “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 (Operator algebras)
- In openai/math
- family 301, section “Operator algebras”, 1 manuscript dated Sep 25, 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 295 of 372, by family number
- Not evaluated : A counterexample to Voiculescu’s free-entropy equality conjecture (family 298)
- Not evaluated : The Kirchberg–Rørdam character criterion (family 299)
- Not evaluated : The Popa–Vaes quadratic strong-operator paving conjecture (family 300)
- Not evaluated : Classification by trace cones after Razak–Jacelon stabilization (family 301)
- Not evaluated : The Phillips–Toms formula for minimal integer actions (family 302)
- Not evaluated : From ordinary to strong pure infiniteness (family 303)
- Not evaluated : The Hilbert–Smith conjecture in every dimension (family 304)
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