Pith Number

pith:QX22P67J

pith:2009:QX22P67JZM263G2ZJMR6X5BBSP

not attested not anchored not stored refs pending

An alternative approach to determining average distance in a class of scale-free modular networks

Jihong Guan, Shuigeng Zhou, Yuan Lin, Zhigang Wang, Zhongzhi Zhang

arxiv:0911.3454 v1 · 2009-11-18 · physics.soc-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QX22P67JZM263G2ZJMR6X5BBSP}

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	2026-05-18T04:34:00.502816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85f5a7fbe9cb35ed9b594b23ebf42193f081dbff263d9028930a987191c626c1

Aliases

arxiv: 0911.3454 · arxiv_version: 0911.3454v1 · doi: 10.48550/arxiv.0911.3454 · pith_short_12: QX22P67JZM26 · pith_short_16: QX22P67JZM263G2Z · pith_short_8: QX22P67J

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/QX22P67JZM263G2ZJMR6X5BBSP \
  | 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: 85f5a7fbe9cb35ed9b594b23ebf42193f081dbff263d9028930a987191c626c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99b2860c82fece17b410db1368fa9adccde07c5807edaadc96c7e5bdc107674d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2009-11-18T02:33:06Z",
    "title_canon_sha256": "5a629747b98ecd75d70bd57d920145064d1c402f35dab21a366c474b0c8dbacd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3454",
    "kind": "arxiv",
    "version": 1
  }
}