{
  "annotation_id": "d0ed490d-1dfb-4690-a2a0-638c3e633db3",
  "date_created": "2026-03-02T18:01:35.585000Z",
  "date_modified": "2026-03-02T18:01:35.585000Z",
  "file_hash": "b2794712906a78d5653146dd17b0e9e99e1dda807d64acd73092d9c4d9d2bb4c",
  "private": false,
  "record": {
    "abstract": "We introduce the simple parametrization for the space of codons (triples of\nnucleotides) by 8\\times 8 table. This table (which we call the dyadic plane)\npossesses the natural 2-adic ultrametric. We show that after this\nparametrization the genetic code will be a locally constant map of the simple\nform. The local constancy of this map will describe degeneracy of the genetic\ncode.\n  The map of the genetic code defines 2-adic ultrametric on the space of amino\nacids. We show that hydrophobic amino acids will be clustered in two balls with\nrespect to this ultrametric. Therefore the introduced parametrization of space\nof codons exhibits the hidden regularity of the genetic code.",
    "arxiv_id": "q-bio/0701007",
    "authors": [
      "A. Yu. Khrennikov",
      "S. V. Kozyrev"
    ],
    "categories": [
      "q-bio.QM"
    ],
    "doi": "10.1016/j.physa.2007.03.018",
    "journal_ref": "Physica A: Statistical Mechanics and its Applications. 2007.\n  V.381. P.265-272",
    "title": "Genetic code on the dyadic plane",
    "url": "https://arxiv.org/abs/q-bio/0701007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "82fce085-2523-47fe-9f98-0dbae895e80d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}