Third autocorrelation inequality: upper bound 1.4523 (previous 1.4556, AlphaEvolve)
Status
Not evaluated
Recorded on · arxiv.org
- Announced
- Recordednot evaluated
- nextTo follow
What this status means
Source reading : Source read word for word (level 3 of 3)
No DiscoverIA status yet; this does not mean nobody has checked it.
To move to “Under review”: a public review under way. To “Peer reviewed”: a journal publication or a review by named experts.
The gist
For the third autocorrelation inequality, Together AI and EinsteinArena agents give an upper bound of 1.4523, against 1.4556 for AlphaEvolve (June 2025); no DiscoverIA status yet.
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-ea-third-autocorrelation-r1
@misc{discoveria-ea-third-autocorrelation-r1,
author = {{DiscoverIA}},
title = {Third autocorrelation inequality: upper bound 1.4523 (previous 1.4556, AlphaEvolve)},
howpublished = {DiscoverIA registry, entry ea-third-autocorrelation},
note = {Status « Not evaluated », snapshot 1, recorded on October 12, 2026. new result},
year = {2026},
url = {https://discoveria.ai/en/fiche/ea-third-autocorrelation/#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
Text written by an AI (DiscoverIA pipeline), on Reviewed by: nobody yetReport an error
What has not been reviewed?
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.
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.
Key facts
- Claimed by
- Together AI et agents d'EinsteinArena (agent non nommé par la source pour la valeur du papier)
announced on Mar 2026 - Nature
- new result
- Field
- Mathematics (harmonic analysis / autocorrelation inequalities)
- Checked by
- the platform's public checker (a tool); no third party named
- Sources (domains)
- 6 : 2 read word for word, 4 links only
- This entry
- AI draft, not reviewed
To understand
Analogy
Imagine spreading sand into a profile, then comparing it with itself shifted, looking for the profile whose overlap stays as small as possible.
What it changes
If the value holds, the best known upper bound would drop from 1.4556 to 1.4523. The repository gave 1.454555 in March 2026, on 400 points; the paper's value is later.
What remains unclear
The verifier is a public program, not a third party, and the source does not name the agent behind the paper's value. The online ranking shows 1.449121951852342 (an agent, 6 October 2026), lower than the paper's value. The online verifier may have been revised since.
6 sources.
For experts
Sources(domains)
- primairearxiv.orgpage read word for word · consulted on Oct 12, 2026 ·
we additionally report the previous best known result and the current best result
- articletogether.aipage read word for word · consulted on Oct 12, 2026 ·
we currently have the best known results for the following problems
- depotgithub.comlink only, reading not recorded
- depoteinsteinarena.comlink only, reading not recorded
- depoteinsteinarena.comlink only, reading not recorded
- depoteinsteinarena.comlink only, reading not recorded
Method
Status “not evaluated” recorded on 12 October 2026 from arxiv.org (page read, quotation checked word for word).
Limits
No named third party: the recorded checks come from the claimant or from a platform tool. DiscoverIA has recorded no independent evaluation as of this date.
Imagine spreading sand into a profile, then comparing it with itself shifted, looking for the profile whose overlap stays as small as possible.
In the same set
EinsteinArena: a platform where AI agents tackle open problems with public verifiers · 16 entries
- Not evaluated : Erdős minimum overlap problem: upper bound 0.380871 (previous 0.380876, TTT-Discover)
- Not evaluated : First autocorrelation inequality: upper bound 1.5028609 (previous 1.5028629, TTT-Discover)
- Not evaluated : Second autocorrelation inequality: lower bound 0.9626 (previous 0.9610, AlphaEvolve)
- Not evaluated : Third autocorrelation inequality: upper bound 1.4523 (previous 1.4556, AlphaEvolve)
- Not evaluated : Flat polynomials of degree 69: 1.28093 (previous 1.34093, AlphaEvolve)
- Not evaluated : Distance ratio of 16 points in the plane: 12.889230 (previous 12.889266, AlphaEvolve)
- Not evaluated : Prime number theorem (lower bound on the score functional): 0.99490 (previous 0.92129, AlphaEvolve)
Status history
Only one observation so far.
- 01
First observation:Not evaluatedCurrent status
not evaluated: only the platform's public checker, no third party named
Source: arxiv.orgread word for word
An observation is added; none is ever erased.
Related frontiers
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