Pith Number

pith:P4X7QIJX

pith:2011:P4X7QIJXQ7ENNV3JR7URDXYQHY

not attested not anchored not stored refs pending

Note on expected internode distances for gene trees in species trees

Martin Kreidl

arxiv:1108.5154 v1 · 2011-08-25 · q-bio.PE · q-bio.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4X7QIJXQ7ENNV3JR7URDXYQHY}

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	2026-05-18T04:14:45.302763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f2ff8213787c8d6d7698fe911df103e11f6c37318ad6e952ab7f5bc55f81553

Aliases

arxiv: 1108.5154 · arxiv_version: 1108.5154v1 · doi: 10.48550/arxiv.1108.5154 · pith_short_12: P4X7QIJXQ7EN · pith_short_16: P4X7QIJXQ7ENNV3J · pith_short_8: P4X7QIJX

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/P4X7QIJXQ7ENNV3JR7URDXYQHY \
  | 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: 7f2ff8213787c8d6d7698fe911df103e11f6c37318ad6e952ab7f5bc55f81553

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17f57d7ea224abf4ab3e242d3c2306df67e63fdedf370891a617fef6026c40c7",
    "cross_cats_sorted": [
      "q-bio.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2011-08-25T18:45:10Z",
    "title_canon_sha256": "34e04a871bd7701ba0247c7222ba7b5b19027aa76185746ca00cf9991eadee5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5154",
    "kind": "arxiv",
    "version": 1
  }
}