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Pith Number

pith:3NLZO4GW

pith:2006:3NLZO4GWVTQOTZI3BAYPI46WGJ
not attested not anchored not stored refs pending

The transposition distance for phylogenetic trees

Francesc Rossello, Gabriel Valiente

arxiv:q-bio/0604024 v1 · 2006-04-18 · q-bio.PE · cs.CE · math.GR · q-bio.OT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3NLZO4GWVTQOTZI3BAYPI46WGJ}

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 2026-05-18T04:08:52.500487Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

db579770d6ace0e9e51b0830f473d6326a5f03b191bd8c97e1112290932f7d96

Aliases

arxiv: q-bio/0604024 · arxiv_version: q-bio/0604024v1 · doi: 10.48550/arxiv.q-bio/0604024 · pith_short_12: 3NLZO4GWVTQO · pith_short_16: 3NLZO4GWVTQOTZI3 · pith_short_8: 3NLZO4GW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3NLZO4GWVTQOTZI3BAYPI46WGJ \
  | 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: db579770d6ace0e9e51b0830f473d6326a5f03b191bd8c97e1112290932f7d96
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "02db14410da6ec68457ea0250f975c604d6668b53018a1c38dd458336d0709a0",
    "cross_cats_sorted": [
      "cs.CE",
      "math.GR",
      "q-bio.OT"
    ],
    "license": "",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2006-04-18T19:24:33Z",
    "title_canon_sha256": "446d27e98fac4acd4ec6982b21aeabe26221bb4c6fad9b282c2b303bc88e691f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-bio/0604024",
    "kind": "arxiv",
    "version": 1
  }
}