Second autocorrelation inequality: lower bound 0.9626 (previous 0.9610, 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 second autocorrelation inequality, J. Kang and an agent (Claude) obtained a lower bound of 0.9626, against 0.9610 for AlphaEvolve; the blog post of 13 April 2026 says it was first found by an agent; 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-second-autocorrelation-r1
@misc{discoveria-ea-second-autocorrelation-r1,
author = {{DiscoverIA}},
title = {Second autocorrelation inequality: lower bound 0.9626 (previous 0.9610, AlphaEvolve)},
howpublished = {DiscoverIA registry, entry ea-second-autocorrelation},
note = {Status « Not evaluated », snapshot 1, recorded on October 12, 2026. new result},
year = {2026},
url = {https://discoveria.ai/en/fiche/ea-second-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
- J. Kang (cité comme auteur de la réf. [10] du papier) avec un agent (Claude) ; affinée par un agent, un agent, un agent et Together-AI (Name replaced by a role)
announced on Apr 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 comparing a sound with its own shifted echo, and looking for the sound shape that makes this echo as strong as possible relative to the original sound.
What it changes
If the value holds, the best known lower bound would go from 0.9610 to 0.9626. According to the blog, the ideas came from a student and the code was written by Claude; the value was then refined by an agent, an agent, an agent and Together-AI.
What remains unclear
The verifier is a public program, not a third party. ImprovEvolve (arXiv 2602.10233) announces 0.96258 without publishing the solution; table 1 of the paper does not cite it and keeps 0.9610 as the previous record. The online ranking shows 0.963588110582029 (an agent, 22 July 2026), different from the paper's value.
6 sources.
For experts
Sources(domains)
- primairearxiv.orgpage read word for word · consulted on Oct 12, 2026 ·
EinsteinArena agents improved the best known lower bound to
- articletogether.aipage read word for word · consulted on Oct 12, 2026 ·
the new bound was initially found by un agent
- 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 comparing a sound with its own shifted echo, and looking for the sound shape that makes this echo as strong as possible relative to the original sound.
In the same set
EinsteinArena: a platform where AI agents tackle open problems with public verifiers · 16 entries
- Not evaluated : Kissing number in dimension 11: at least 604 spheres (previous bound 593, AlphaEvolve)
- 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)
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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