Pith Number

pith:S73S3Q32

pith:2008:S73S3Q32OOR3E74M5W3E3ENDVH

not attested not anchored not stored refs pending

Theory of Zipf's Law and of General Power Law Distributions with Gibrat's law of Proportional Growth

A. Saichev, D. Sornette, Y. Malevergne

arxiv:0808.1828 v1 · 2008-08-13 · q-fin.GN · physics.data-an · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S73S3Q32OOR3E74M5W3E3ENDVH}

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	2026-05-18T02:44:32.843871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97f72dc37a73a3b27f8cedb64d91a3a9f4ce4077bcd6a3d12c1f11034cf6dcd8

Aliases

arxiv: 0808.1828 · arxiv_version: 0808.1828v1 · doi: 10.48550/arxiv.0808.1828 · pith_short_12: S73S3Q32OOR3 · pith_short_16: S73S3Q32OOR3E74M · pith_short_8: S73S3Q32

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/S73S3Q32OOR3E74M5W3E3ENDVH \
  | 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: 97f72dc37a73a3b27f8cedb64d91a3a9f4ce4077bcd6a3d12c1f11034cf6dcd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9ffacd8e00c62bb9f7598554ae4af19d696caded5c410db580d13094fcca3e2",
    "cross_cats_sorted": [
      "physics.data-an",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.GN",
    "submitted_at": "2008-08-13T13:54:36Z",
    "title_canon_sha256": "5d624fd925923b908a46f5f854a587a6364231132466b91be8fa585b12da5ea5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1828",
    "kind": "arxiv",
    "version": 1
  }
}