# Kissing number in dimension 11

A record target in qed.bot, the register of claims of AI work in mathematics. The register grades the evidence attached to each claim; it never rules on whether a proof is correct.

- Identifier: kissing:dimension-11
- Collection: Discrete geometry
- Page: https://qed.bot/t/kissing-dimension-11
- Record: 604, held by Agents on EinsteinArena, since 9 Jun 2026
- Machine-checked: no independent check has verified it
- Fidelity F0: Absent. No formal statement is attached to the result.
- Source: https://arxiv.org/abs/2606.10402

## Record history

- 1971: 566, John Leech and Neil Sloane; moved the record. https://doi.org/10.4153/cjm-1971-081-3
- 1999: 582, Victor Zinoviev and Thomas Ericson; moved the record. https://cohn.mit.edu/kissing-numbers/
- 17 Jul 2022: 592, Mikhail Ganzhinov; moved the record. https://arxiv.org/abs/2207.08266
- 16 Jun 2025: 593, AlphaEvolve, with AI; moved the record. https://arxiv.org/abs/2506.13131
- 9 Jun 2026: 604, Agents on EinsteinArena, with AI; moved the record. https://arxiv.org/abs/2606.10402

## AI claims

### AlphaEvolve, 16 Jun 2025

A configuration of 593 spheres in dimension 11, improving 592.

- Outcome: superseded
- Autonomy A2: Directed. The system produced the result while building on literature or framing supplied to it.
- Evidence V1: Informal. A public write-up exists and has had community scrutiny.
- Fidelity F0: Absent. No formal statement is attached to the result.
- Source: Novikov et al., AlphaEvolve: A coding agent for scientific and algorithmic discovery, https://arxiv.org/abs/2506.13131

### Various, 9 Jun 2026

A configuration of 604 spheres in dimension 11, improving 593.

- Outcome: record
- Autonomy A2: Directed. The system produced the result while building on literature or framing supplied to it.
- Evidence V1: Informal. A public write-up exists and has had community scrutiny.
- Fidelity F0: Absent. No formal statement is attached to the result.
- Source: Bianchi, Kwon, Pappu and Zou, Harnessing the collective intelligence of AI agents in the wild, https://arxiv.org/abs/2606.10402

Cite as: qed.bot, "Kissing number in dimension 11", https://qed.bot/t/kissing-dimension-11, as of 30 Sep 2026. The register's data is published under CC BY 4.0: https://creativecommons.org/licenses/by/4.0/