Not evaluated
Matrix multiplication exponent at most 9/4
Family 107
The gist
On October 6, 2026, OpenAI announced a matrix multiplication result with exponent at most 9/4.
DiscoverIA status on October 11, 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 11, 2026: a citation always points to a dated snapshot.
Cite snapshot 1, Oct 11, 2026
APA citation with the dated link
BibTeX @misc, key discoveria-oai-fam-107-matrix-multiplication-r1
@misc{discoveria-oai-fam-107-matrix-multiplication-r1,
author = {{DiscoverIA}},
title = {Matrix multiplication exponent at most 9/4 (family 107)},
howpublished = {DiscoverIA registry, entry oai-fam-107-matrix-multiplication},
note = {Status “Not evaluated”, snapshot 1, recorded on October 11, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-107-matrix-multiplication#releve-1},
urldate = {2026-10-11}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
The exponent of matrix multiplication is the smallest power of the matrix size that bounds the number of operations sufficient to multiply them. If the result held, it would give an upper bound of 9/4 on this exponent.
What remains unclear
The Lean (a language in which a computer checks every step of a proof) is supplied by OpenAI itself, and its match with the claimed result is only estimated. The only description read is a line of CONTENTS.md, with no detail of the method. No third-party verification is recorded.
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · github.com
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.compage read word for word
Method
The openai/math repository lists in CONTENTS.md the line “Matrix multiplication with exponent at most 9/4.”. The recorded evidence is a preprint and a Lean file supplied by OpenAI, in the MatrixMultiplication configuration. DiscoverIA status: not evaluated, meaning that no third-party evaluation has been found in the sources read. Set on October 11, 2026 from github.com (page read, quotation checked word for word).
Limits
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
announced on Oct 6, 2026 - Nature
- new result
- Field
- Theoretical computer science (theoretical computer science / linear algebra)
- Checked by
- claimant
- Sources
- 1 : 1 read word for word
- This entry
- AI draft, not reviewed
Status history
Only one observation so far.
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 104 of 372, by family number
- Not evaluated : Quasipolynomial algorithms for mean-payoff, stochastic and parity games (family 104)
- Not evaluated : The 2-to-1 Games Conjecture with perfect completeness (family 105)
- Not evaluated : Hardness of coloring three-colorable graphs (family 106)
- Not evaluated : Matrix multiplication exponent at most 9/4 (family 107)
- Not evaluated : A cubic permanent–determinant lower bound (family 108)
- Not evaluated : Integer multiplication below n log n (family 109)
- Not evaluated : Optimal-order randomized k-server on arbitrary metrics (family 110)
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