Pith Number

pith:XNJIBVYQ

pith:2011:XNJIBVYQM3VTQ4Y2ULISCK47UW

not attested not anchored not stored refs pending

Mandelbrot Law of Evolving Networks

Bing-Hong Wang, Tao Zhou, Xue-Zao Ren, Zimo Yang

arxiv:1107.4649 v2 · 2011-07-23 · physics.data-an · cs.SI · 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{XNJIBVYQM3VTQ4Y2ULISCK47UW}

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	2026-05-18T04:02:25.142138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb5280d71066eb38731aa2d1212b9fa591be7cb3150aa58d8fb1b905defc26f0

Aliases

arxiv: 1107.4649 · arxiv_version: 1107.4649v2 · doi: 10.48550/arxiv.1107.4649 · pith_short_12: XNJIBVYQM3VT · pith_short_16: XNJIBVYQM3VTQ4Y2 · pith_short_8: XNJIBVYQ

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/XNJIBVYQM3VTQ4Y2ULISCK47UW \
  | 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: bb5280d71066eb38731aa2d1212b9fa591be7cb3150aa58d8fb1b905defc26f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87cf08cbc6a27872e762382486b286a33b0425e8087e159d314b2ec8f33526a4",
    "cross_cats_sorted": [
      "cs.SI",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2011-07-23T01:43:48Z",
    "title_canon_sha256": "2e85c5ccbb4f7c89710663d86e14d7940defc2b1d016cc66a6991358b48468e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4649",
    "kind": "arxiv",
    "version": 2
  }
}