Pith Number

pith:5EIY3WYA

pith:2020:5EIY3WYAZEQ2QLAS3SXOM7Y6FF

not attested not anchored not stored refs pending

Species tree estimation under joint modeling of coalescence and duplication: sample complexity of quartet methods

Brandon Legried, Max Hill, Sebastien Roch

arxiv:2007.06697 v1 · 2020-07-13 · math.PR · math.ST · q-bio.PE · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5EIY3WYAZEQ2QLAS3SXOM7Y6FF}

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	2026-07-05T01:18:22.361131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9118ddb00c921a82c12dcaee67f1e294a738225502cc652ca6308b1f657cf57

Aliases

arxiv: 2007.06697 · arxiv_version: 2007.06697v1 · doi: 10.48550/arxiv.2007.06697 · pith_short_12: 5EIY3WYAZEQ2 · pith_short_16: 5EIY3WYAZEQ2QLAS · pith_short_8: 5EIY3WYA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5EIY3WYAZEQ2QLAS3SXOM7Y6FF \
  | 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: e9118ddb00c921a82c12dcaee67f1e294a738225502cc652ca6308b1f657cf57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31606ed8d5f1af3c964aa828d54e7d24d68368fe6e1a2f254058f25561cd3bc2",
    "cross_cats_sorted": [
      "math.ST",
      "q-bio.PE",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-07-13T21:17:14Z",
    "title_canon_sha256": "08dc62e2b2eab366d048eeffd179d4282b61ba30887c46114fde38e742e44794"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.06697",
    "kind": "arxiv",
    "version": 1
  }
}