Pith Number

pith:LZ52CSZF

pith:2010:LZ52CSZFKHKV44BHVUCYIKVP3O

not attested not anchored not stored refs pending

Enumeration of spanning trees in a pseudofractal scale-free web

Bin Wu, Hongxiao Liu, Shuigeng Zhou, Zhongzhi Zhang

arxiv:1008.0267 v1 · 2010-08-02 · cond-mat.stat-mech · math-ph · math.MP · physics.comp-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{LZ52CSZFKHKV44BHVUCYIKVP3O}

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	2026-05-18T04:42:43.650335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e7ba14b2551d55e7027ad05842aafdbbd3454ddb59d21e0545351c7d5e9bff2

Aliases

arxiv: 1008.0267 · arxiv_version: 1008.0267v1 · doi: 10.48550/arxiv.1008.0267 · pith_short_12: LZ52CSZFKHKV · pith_short_16: LZ52CSZFKHKV44BH · pith_short_8: LZ52CSZF

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/LZ52CSZFKHKV44BHVUCYIKVP3O \
  | 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: 5e7ba14b2551d55e7027ad05842aafdbbd3454ddb59d21e0545351c7d5e9bff2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73bac849b6aa10611889852c19fb7567855a3747fc68f120b37a4d5c019e3086",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-08-02T09:55:49Z",
    "title_canon_sha256": "cf0d962dbfcb8e77943ee3c7486f77f89783704c649997bcb7f687f9b2f6fc0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0267",
    "kind": "arxiv",
    "version": 1
  }
}