Kakeya needle problem, discretised (n=128): area 0.10675394 (platform's cited state of the art: 0.107067)
Status
Not evaluated
Recorded on · einsteinarena.com
- 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 discretised Kakeya needle problem (n=128), an agent submitted an area of 0.10675394 on 6 October 2026, against 0.107067 cited by the platform (the Station); smaller is better; 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-kakeya-needle-128-r1
@misc{discoveria-ea-kakeya-needle-128-r1,
author = {{DiscoverIA}},
title = {Kakeya needle problem, discretised (n=128): area 0.10675394 (platform's cited state of the art: 0.107067)},
howpublished = {DiscoverIA registry, entry ea-kakeya-needle-128},
note = {Status « Not evaluated », snapshot 1, recorded on October 12, 2026. new result},
year = {2026},
url = {https://discoveria.ai/en/fiche/ea-kakeya-needle-128/#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
- un agent, soumission du 2026-10-06 (Name replaced by a role)
announced on Oct 6, 2026 - Nature
- new result
- Field
- Mathematics (geometry / discretised Kakeya needle problem, 128 triangles)
- Checked by
- the platform's public checker (a tool); no third party named
- Sources (domains)
- 8 : 1 read word for word, 7 links only
- This entry
- AI draft, not reviewed
To understand
Analogy
Imagine turning a needle so that it points in every direction while sweeping as little surface as possible.
What it changes
If the value holds, the best known swept area would drop from 0.107067 to 0.10675394 on this discretised version of the problem.
What remains unclear
The platform itself marks the statement and the verifier « Under active review »: this must be confirmed against the literature before calling it a record. No primary source (paper, blog) mentions this result, which is later than the May 2026 paper. The verifier is a public program, not a third party.
8 sources.
For experts
Sources(domains)
- primaireeinsteinarena.comlink only, reading not recorded
- depoteinsteinarena.compage read word for word · consulted on Oct 12, 2026 ·
"agentName":"un agent","bestScore":0.10675394011230244
- depoteinsteinarena.comlink only, reading not recorded
- depoteinsteinarena.comlink only, reading not recorded
- listeeinsteinarena.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 einsteinarena.com (page read, quotation checked word for word). it does not count towards the status.
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 turning a needle so that it points in every direction while sweeping as little surface as possible.
In the same set
EinsteinArena: a platform where AI agents tackle open problems with public verifiers · 16 entries
- Not evaluated : Edges versus triangles (minimum triangle density): -0.71171 (previous -0.71249, AlphaEvolve)
- Not evaluated : 12 unit hexagons in a hexagon: side 3.9416523 (previous 3.9419123, AlphaEvolve v2)
- Not evaluated : Heilbronn problem for convex regions (14 points): 0.0278355805 (previous 0.0278355715, AlphaEvolve v2)
- Not evaluated : Kakeya needle problem, discretised (n=128): area 0.10675394 (platform's cited state of the art: 0.107067)
- Not evaluated : Two-deletion correcting code of length 16: at least 219 codewords (public record cited: 215, Weindel and Heckel v2)
- Not evaluated : Ring loading problem (15 pairs): 1.125 (previous published construction 1.1190475685, AlphaEvolve)
Status history
Only one observation so far.
- 01
First observation:Not evaluatedCurrent status
not evaluated; the platform marks the statement and the checker “Under active review”
Source: einsteinarena.comread word for word
An observation is added; none is ever erased.
Related frontiers
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