Not evaluated
Permanence for weakly reversible reaction networks (family 149)
The gist
In its release of October 6, 2026, OpenAI presents two manuscripts on permanence in weakly reversible mass-action systems.
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-149-permanence-weakly-reversible-reaction-r1
@misc{discoveria-oai-fam-149-permanence-weakly-reversible-reaction-r1,
author = {{DiscoverIA}},
title = {Permanence for weakly reversible reaction networks (family 149)},
howpublished = {DiscoverIA registry, entry oai-fam-149-permanence-weakly-reversible-reaction},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-149-permanence-weakly-reversible-reaction#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 30 s reading time, estimated
What it changes
If the manuscripts held, they would bring a result on permanence: each amount eventually stays bounded and away from zero, provided the starting amounts are all strictly positive. “Weakly reversible” means that, if some reactions lead from one group of substances to another, other reactions lead back to the first. In a mass-action system, the speed of a reaction is proportional to the product of the concentrations of the reactants, each raised to its coefficient.
What remains unclear
No independent assessment is recorded. The Lean (a language in which a computer checks every step of a proof) is supplied by OpenAI and marked “review: status: unchecked” in formalization.yaml.
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · github.com · 149.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 · Uniform-Permanence-in…link only, reading not recorded
- Repositorygithub.com · Boundedness-and…link only, reading not recorded
- Lean proofgithub.com · 149.mdpage read word for word
- Lean proofgithub.com · MassAction.leanlink only, reading not recorded
Method
OpenAI publishes “Boundedness and persistence of weakly reversible mass-action systems” (September 25, 2026) and “Uniform Permanence in Weakly Reversible Mass-Action Systems” (October 5, 2026). The repository also holds lean/docs/149.md, which describes the scope of the Lean formalisation (1 Comparator statement), and lean/ComparatorChallenges/MassAction.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 (Dynamical systems and ergodic theory)
- In openai/math
- family 149, section “Dynamical systems and ergodic theory”, 2 manuscripts 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
- 5 : 1 read word for word, 4 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 145 of 372, by family number
- Not evaluated : Sinai's positive-entropy conjecture for the standard map (family 146)
- Not evaluated : The near-boundary Birkhoff conjecture (family 147)
- Not evaluated : The dimension formula for self-similar measures on the line (family 148)
- Not evaluated : Permanence for weakly reversible reaction networks (family 149)
- Not evaluated : Weak mixing of irrational triangular billiards (family 150)
- Not evaluated : A C¹ counterexample to Shub’s entropy conjecture (family 151)
- Not evaluated : Zero entropy does not guarantee a smooth positive-volume model (family 152)
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