Pith Number

pith:2O4NSQXG

pith:2012:2O4NSQXGHKWQZH4L3SUM5KODEE

not attested not anchored not stored refs pending

Horton self-similarity of Kingman's coalescent tree

Ilya Zaliapin, Yevgeniy Kovchegov

arxiv:1207.7108 v5 · 2012-07-30 · math.PR · math-ph · math.CA · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2O4NSQXGHKWQZH4L3SUM5KODEE}

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	2026-05-18T01:32:01.587377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3b8d942e63aad0c9f8bdca8cea9c3212fa2e5c0195bcb9858cbdc9b6bc6b55c

Aliases

arxiv: 1207.7108 · arxiv_version: 1207.7108v5 · doi: 10.48550/arxiv.1207.7108 · pith_short_12: 2O4NSQXGHKWQ · pith_short_16: 2O4NSQXGHKWQZH4L · pith_short_8: 2O4NSQXG

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/2O4NSQXGHKWQZH4L3SUM5KODEE \
  | 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: d3b8d942e63aad0c9f8bdca8cea9c3212fa2e5c0195bcb9858cbdc9b6bc6b55c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bce2c6089ed3d426b86c6d7016ec389fac981a7f4766a7dc2401f583a67dafb6",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-30T21:34:45Z",
    "title_canon_sha256": "5c090377214d8290d8e4562748a44565b23a89ca574b37e0885f7b324d56ab5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7108",
    "kind": "arxiv",
    "version": 5
  }
}