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Pith Number

pith:54XNMARC

pith:2009:54XNMARCEM3UV3EBOVSMZ35PHV
not attested not anchored not stored refs pending

Single--crossover recombination in discrete time

Ellen Baake, Michael Baake, Ute von Wangenheim

arxiv:0906.1678 v1 · 2009-06-09 · q-bio.PE · math.DS · q-bio.CB

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{54XNMARCEM3UV3EBOVSMZ35PHV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.
Receipt and verification
First computed 2026-05-18T04:31:51.228550Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ef2ed6022223374aec817564ccefaf3d524114bd413d399311b926cad9a03489

Aliases

arxiv: 0906.1678 · arxiv_version: 0906.1678v1 · doi: 10.48550/arxiv.0906.1678 · pith_short_12: 54XNMARCEM3U · pith_short_16: 54XNMARCEM3UV3EB · pith_short_8: 54XNMARC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/54XNMARCEM3UV3EBOVSMZ35PHV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ef2ed6022223374aec817564ccefaf3d524114bd413d399311b926cad9a03489
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "df18ee86b76e0cc985abcbc3a1ded01d9907b18a893e28030d2e12af5f76f98d",
    "cross_cats_sorted": [
      "math.DS",
      "q-bio.CB"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2009-06-09T09:52:12Z",
    "title_canon_sha256": "069837d89c150d9894d7d00b2c3bd7eb1f80761d7c00d7ba0d44b3c8a1641394"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1678",
    "kind": "arxiv",
    "version": 1
  }
}