pith. sign in
Pith Number

pith:GHKXDIA4

pith:2007:GHKXDIA4PHY7RXBNZ2R76HBQIZ
not attested not anchored not stored refs pending

Identifying evolutionary trees and substitution parameters for the general Markov model with invariable sites

Elizabeth S. Allman, John A. Rhodes

arxiv:q-bio/0702050 v1 · 2007-02-23 · q-bio.PE · math.AG · math.ST · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GHKXDIA4PHY7RXBNZ2R76HBQIZ}

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 2026-05-18T04:08:35.126821Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

31d571a01c79f1f8dc2dcea3ff1c30465b573b72b0c406b4f89365c2ab83079f

Aliases

arxiv: q-bio/0702050 · arxiv_version: q-bio/0702050v1 · doi: 10.48550/arxiv.q-bio/0702050 · pith_short_12: GHKXDIA4PHY7 · pith_short_16: GHKXDIA4PHY7RXBN · pith_short_8: GHKXDIA4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GHKXDIA4PHY7RXBNZ2R76HBQIZ \
  | 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: 31d571a01c79f1f8dc2dcea3ff1c30465b573b72b0c406b4f89365c2ab83079f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6c6b8fe5b57b1251eb2fc217525b278503548dfda028d054ea71da0b73899d75",
    "cross_cats_sorted": [
      "math.AG",
      "math.ST",
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2007-02-23T23:08:32Z",
    "title_canon_sha256": "a5443878f203e59b80c4a057dab1127463d6e5c83df9fed0b53b6ac622ea7b37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-bio/0702050",
    "kind": "arxiv",
    "version": 1
  }
}