Pith Number

pith:PMPHJDNL

pith:2013:PMPHJDNLEQEQVNXTQ3FX2I3UIS

not attested not anchored not stored refs pending

A Fractal and Scale-free Model of Complex Networks with Hub Attraction Behaviors

Bojin Zheng, Deyi Li, Li Kuang, Yuanxiang Li, Yu Sun

arxiv:1311.3087 v1 · 2013-11-13 · physics.soc-ph · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMPHJDNLEQEQVNXTQ3FX2I3UIS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:07:13.133058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b1e748dab24090ab6f386cb7d2374448d1afcb3aa76dd961f0bd42800f8ae16

Aliases

arxiv: 1311.3087 · arxiv_version: 1311.3087v1 · doi: 10.48550/arxiv.1311.3087 · pith_short_12: PMPHJDNLEQEQ · pith_short_16: PMPHJDNLEQEQVNXT · pith_short_8: PMPHJDNL

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/PMPHJDNLEQEQVNXTQ3FX2I3UIS \
  | 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: 7b1e748dab24090ab6f386cb7d2374448d1afcb3aa76dd961f0bd42800f8ae16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9150f9c6f7f75fe4ceebb5aaae0e0530d83df25ee3c80aa560a7ff1171e5e4d",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2013-11-13T11:30:54Z",
    "title_canon_sha256": "0654f3150c46b4186a9a712ab969fc1d52ad45ff7f70ce2a1b56eb1de7a80b96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3087",
    "kind": "arxiv",
    "version": 1
  }
}