Pith Number

pith:LAQKSM3L

pith:2015:LAQKSM3LKDI2YOJUFAGWPY4RUX

not attested not anchored not stored refs pending

Zipf's Law from Scale-free Geometry

Abraham Loeb, Henry W. Lin

arxiv:1501.00738 v3 · 2015-01-05 · physics.soc-ph · astro-ph.CO · cond-mat.stat-mech · cs.SI · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LAQKSM3LKDI2YOJUFAGWPY4RUX}

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	2026-05-18T01:18:34.075557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5820a9336b50d1ac3934280d67e391a5c8f3c7c5995de8436d2e3f5fe9bb17b8

Aliases

arxiv: 1501.00738 · arxiv_version: 1501.00738v3 · doi: 10.48550/arxiv.1501.00738 · pith_short_12: LAQKSM3LKDI2 · pith_short_16: LAQKSM3LKDI2YOJU · pith_short_8: LAQKSM3L

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/LAQKSM3LKDI2YOJUFAGWPY4RUX \
  | 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: 5820a9336b50d1ac3934280d67e391a5c8f3c7c5995de8436d2e3f5fe9bb17b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e8ee02323207600afa0bbe3ec52dc1fd4bcd034f8d48cb4a7a26717e8842e88",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "cond-mat.stat-mech",
      "cs.SI",
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-01-05T00:33:58Z",
    "title_canon_sha256": "a1be0ce141c12990a64a43936f7866e59b7e5637af29123e7ce8317b716a47a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00738",
    "kind": "arxiv",
    "version": 3
  }
}