Pith Number

pith:2H74VDOK

pith:2010:2H74VDOKMRDBV2BMTHYWCWWXO6

not attested not anchored not stored refs pending

Zipf's Law Leads to Heaps' Law: Analyzing Their Relation in Finite-Size Systems

Linyuan Lu, Tao Zhou, Zi-Ke Zhang

arxiv:1002.3861 v2 · 2010-02-20 · physics.data-an · 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{2H74VDOKMRDBV2BMTHYWCWWXO6}

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	2026-05-18T04:33:04.252071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1ffca8dca64461ae82c99f1615ad777a4d34be7023d72f55a98a5dd53e764e4

Aliases

arxiv: 1002.3861 · arxiv_version: 1002.3861v2 · doi: 10.48550/arxiv.1002.3861 · pith_short_12: 2H74VDOKMRDB · pith_short_16: 2H74VDOKMRDBV2BM · pith_short_8: 2H74VDOK

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/2H74VDOKMRDBV2BMTHYWCWWXO6 \
  | 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: d1ffca8dca64461ae82c99f1615ad777a4d34be7023d72f55a98a5dd53e764e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1517125f94af82f8c8b29e3486147c721e0604e58a71e8cb336202851d13e686",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2010-02-20T09:34:16Z",
    "title_canon_sha256": "578a4b5ce63a3fbc7e46b289d251d514f9f41898f141db2010fe967372915ecd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3861",
    "kind": "arxiv",
    "version": 2
  }
}