Pith Number

pith:7YIAAE5D

pith:2010:7YIAAE5DDDNER42X4S2NZI4D2T

not attested not anchored not stored refs pending

Emergence of Zipf's Law in the Evolution of Communication

Bernat Corominas-Murtra, Jordi Fortuny, Ricard V. Sol\'e

arxiv:1008.0938 v3 · 2010-08-05 · nlin.AO · cond-mat.stat-mech · cs.IT · math-ph · math.IT · math.MP · 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{7YIAAE5DDDNER42X4S2NZI4D2T}

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	2026-05-18T02:05:59.029940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe100013a318da48f357e4b4dca383d4e27cd465d77b26fcb0befa5c99c85e39

Aliases

arxiv: 1008.0938 · arxiv_version: 1008.0938v3 · doi: 10.48550/arxiv.1008.0938 · pith_short_12: 7YIAAE5DDDNE · pith_short_16: 7YIAAE5DDDNER42X · pith_short_8: 7YIAAE5D

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/7YIAAE5DDDNER42X4S2NZI4D2T \
  | 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: fe100013a318da48f357e4b4dca383d4e27cd465d77b26fcb0befa5c99c85e39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f122a679d6742e7447b51465ce57c36158d0ffe3404c91421857643f6fd8250a",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2010-08-05T10:28:00Z",
    "title_canon_sha256": "9c54f46fe38c1dbdb9ebcd338346217da9a32cb331087128d3bb853904cf1b3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0938",
    "kind": "arxiv",
    "version": 3
  }
}