Pith Number

pith:JOHNV7K3

pith:2013:JOHNV7K3T7HESENVQFNXOAKNWY

not attested not anchored not stored refs pending

Scale-free and power law distributions via fixed points and convergence of (thinning and conditioning) transformations

Malcolm J. Williamson, Richard Arratia, Thomas M. Liggett

arxiv:1306.3017 v2 · 2013-06-13 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOHNV7K3T7HESENVQFNXOAKNWY}

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	2026-05-18T02:48:46.992345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b8edafd5b9fce4911b5815b77014db62f5ca0b3852642c565f4a7425ddee7cf

Aliases

arxiv: 1306.3017 · arxiv_version: 1306.3017v2 · doi: 10.48550/arxiv.1306.3017 · pith_short_12: JOHNV7K3T7HE · pith_short_16: JOHNV7K3T7HESENV · pith_short_8: JOHNV7K3

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/JOHNV7K3T7HESENVQFNXOAKNWY \
  | 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: 4b8edafd5b9fce4911b5815b77014db62f5ca0b3852642c565f4a7425ddee7cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc469d2e3179dc4de394afb4de1eeb47b508e368cc9b3fa6b5d6527b6d21015a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-13T03:58:06Z",
    "title_canon_sha256": "2a7af7e85a13d5839d7c516e45cdaba9a9aa73cba4c60c1712ca597b10af0e6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3017",
    "kind": "arxiv",
    "version": 2
  }
}