Pith Number

pith:ULL62KJB

pith:2006:ULL62KJBP3NDI66W3BU4W6FKGC

not attested not anchored not stored refs pending

A Unified Framework for the Pareto Law and Matthew Effect using Scale-Free Networks

Bing-Hong Wang, Mao-Bin Hu, Qing-Song Wu, Rui Jiang, Wen-Xu Wang, Yong-Hong Wu

arxiv:physics/0606085 v1 · 2006-06-09 · 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{ULL62KJBP3NDI66W3BU4W6FKGC}

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	2026-07-04T17:02:38.717357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2d7ed29217eda347bd6d869cb78aa30b7093671f9dc0e22775b95f4c89ab51e

Aliases

arxiv: physics/0606085 · arxiv_version: physics/0606085v1 · doi: 10.48550/arxiv.physics/0606085 · pith_short_12: ULL62KJBP3ND · pith_short_16: ULL62KJBP3NDI66W · pith_short_8: ULL62KJB

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/ULL62KJBP3NDI66W3BU4W6FKGC \
  | 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: a2d7ed29217eda347bd6d869cb78aa30b7093671f9dc0e22775b95f4c89ab51e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6d879be803b7c97d0ac6f2edb347960b348884c8e51185a0d857cab2702e597",
    "cross_cats_sorted": [
      "physics.data-an"
    ],
    "license": "",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2006-06-09T02:13:44Z",
    "title_canon_sha256": "e048b012f27eb47903de1495236151df06e8d5b62ac2fc33117797761581239c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0606085",
    "kind": "arxiv",
    "version": 1
  }
}