{
  "id": "kissing-11",
  "family": "kissing",
  "kind": "record",
  "title": "Kissing number in 11 dimensions",
  "params": {
    "dim": 11
  },
  "record": "604",
  "record_meaning": "best known lower bound in 11 dimensions",
  "record_from": "listed: Kissing number table (Wikipedia, which cites the published constructions), read 2026-11-04",
  "exact": false,
  "source_url": "https://en.wikipedia.org/wiki/Kissing_number",
  "keeper": "Published literature; the Wikipedia table and Cohn's kissing number tables track it",
  "url": "/v1/science/math/problems/kissing-11",
  "source": "Kissing number table (Wikipedia, which cites the published constructions)",
  "as_of": "2026-11-04",
  "how_to_submit": "construction: {vectors: [[...], ...]} — integer vectors, all of the same squared length L, every pair with 2·(u·v) ≤ L (at least 60 degrees apart). Score = how many vectors. Scale rational coordinates up to integers. Up to 1000 vectors, coordinates up to 1048576 in size.",
  "example_construction": {
    "vectors": [
      [
        2,
        0
      ],
      [
        1,
        1
      ],
      [
        -1,
        1
      ],
      [
        -2,
        0
      ],
      [
        -1,
        -1
      ],
      [
        1,
        -1
      ]
    ]
  },
  "leaderboard": []
}