Pith Number

pith:3ELHBSXR

pith:2009:3ELHBSXRXWK2MQOQBONXPDYCX4

not attested not anchored not stored refs pending

Zipf's law from a Fisher variational-principle

A. Hernando, A. Plastino, C. Vesperinas, D. Puigdomenech, D. Villuendas

arxiv:0908.0501 v1 · 2009-08-04 · physics.soc-ph · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ELHBSXRXWK2MQOQBONXPDYCX4}

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	2026-05-18T02:12:44.756364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d91670caf1bd95a641d00b9b778f02bf259d83282fdcb263a97b8fbd1b369049

Aliases

arxiv: 0908.0501 · arxiv_version: 0908.0501v1 · doi: 10.48550/arxiv.0908.0501 · pith_short_12: 3ELHBSXRXWK2 · pith_short_16: 3ELHBSXRXWK2MQOQ · pith_short_8: 3ELHBSXR

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/3ELHBSXRXWK2MQOQBONXPDYCX4 \
  | 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: d91670caf1bd95a641d00b9b778f02bf259d83282fdcb263a97b8fbd1b369049

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6491ae110d602af4267680e7c06099ba6c8bbb1138ec7ba77b9bbfb23a5f8ea0",
    "cross_cats_sorted": [
      "physics.data-an"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2009-08-04T17:52:34Z",
    "title_canon_sha256": "08afddd8273fab9f5f79b2e7c3770344e8a6caaa4c0772fefcf51da76b73b1d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0501",
    "kind": "arxiv",
    "version": 1
  }
}