Pith Number

pith:3TVEWJSJ

pith:2019:3TVEWJSJ5CIBBRDI3GX5D2U3KS

not attested not anchored not stored refs pending

The distinct flavors of Zipf's law in the rank-size and in the size-distribution representations, and its maximum-likelihood fitting

Alvaro Corral, Isabel Serra, Ramon Ferrer-i-Cancho

arxiv:1908.01398 v1 · 2019-08-04 · physics.data-an · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3TVEWJSJ5CIBBRDI3GX5D2U3KS}

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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	2026-07-05T05:19:31.879430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcea4b2649e89010c468d9afd1ea9b54813fe0d4bdb8b22a6c769604ff456420

Aliases

arxiv: 1908.01398 · arxiv_version: 1908.01398v1 · doi: 10.48550/arxiv.1908.01398 · pith_short_12: 3TVEWJSJ5CIB · pith_short_16: 3TVEWJSJ5CIBBRDI · pith_short_8: 3TVEWJSJ

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/3TVEWJSJ5CIBBRDI3GX5D2U3KS \
  | 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: dcea4b2649e89010c468d9afd1ea9b54813fe0d4bdb8b22a6c769604ff456420

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad54584a92608e71646f560853f3ba875e3706735d7b0880d08b1cb93f96edf3",
    "cross_cats_sorted": [
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2019-08-04T20:45:35Z",
    "title_canon_sha256": "df56723e3fdb7d42a8f2ea8010ddb8f025161402e10949bfa46c1ae695a82fbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01398",
    "kind": "arxiv",
    "version": 1
  }
}