pith. sign in
Pith Number

pith:6RDLS3BU

pith:2013:6RDLS3BUZ7XN2P5LE7DNUCBZS7
not attested not anchored not stored refs pending

Dualities in population genetics: a fresh look with new dualities

Claudio Giberti, Cristian Giardina', Frank Redig, Gioia Carinci

arxiv:1302.3206 v3 · 2013-02-13 · math.PR · math-ph · math.MP · physics.bio-ph · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6RDLS3BUZ7XN2P5LE7DNUCBZS7}

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 2026-05-18T02:39:54.329738Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f446b96c34cfeedd3fab27c6da083997fade89ab9843f1a0e73c26f541b9dd7d

Aliases

arxiv: 1302.3206 · arxiv_version: 1302.3206v3 · doi: 10.48550/arxiv.1302.3206 · pith_short_12: 6RDLS3BUZ7XN · pith_short_16: 6RDLS3BUZ7XN2P5L · pith_short_8: 6RDLS3BU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6RDLS3BUZ7XN2P5LE7DNUCBZS7 \
  | 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: f446b96c34cfeedd3fab27c6da083997fade89ab9843f1a0e73c26f541b9dd7d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1b93cf7fa9d3ac5f4372f8f74571a757bb3273c813f908153717865edb927fff",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.bio-ph",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-13T20:20:24Z",
    "title_canon_sha256": "c84949da202453d0420cac1cf20c21e0ae86ff8e6892f81fd92239681cda2677"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3206",
    "kind": "arxiv",
    "version": 3
  }
}