Pith Number

pith:V33G3YI4

pith:2011:V33G3YI43FULM4CHM23GWF3JIV

not attested not anchored not stored refs pending

Role of fractal dimension in random walks on scale-free networks

Shuyang Gao, Yihang Yang, Zhongzhi Zhang

arxiv:1110.3388 v1 · 2011-10-15 · cond-mat.stat-mech · physics.class-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{V33G3YI43FULM4CHM23GWF3JIV}

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	2026-05-18T04:06:54.737367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aef66de11cd968b6704766b66b1769454f056e5282dc24884494e93a756383bc

Aliases

arxiv: 1110.3388 · arxiv_version: 1110.3388v1 · doi: 10.48550/arxiv.1110.3388 · pith_short_12: V33G3YI43FUL · pith_short_16: V33G3YI43FULM4CH · pith_short_8: V33G3YI4

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/V33G3YI43FULM4CHM23GWF3JIV \
  | 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: aef66de11cd968b6704766b66b1769454f056e5282dc24884494e93a756383bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25597b146fe057e1f74ff87c1ff7ddffc486312684c81a28c083ffd1626f2abb",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-10-15T06:07:49Z",
    "title_canon_sha256": "c5a25be6a04ba298d1e58458ae1ec31ca7dcb477ff937068916e40415816cf6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3388",
    "kind": "arxiv",
    "version": 1
  }
}