Pith Number

pith:WFXY4JY5

pith:2007:WFXY4JY5NK5AX6WSMTHR23NYAQ

not attested not anchored not stored refs pending

Centrality measures and thermodynamic formalism for complex networks

Anne-Sophie Libert, Jean-Charles Delvenne

arxiv:0710.3972 v3 · 2007-10-22 · physics.data-an · cond-mat.stat-mech · 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{WFXY4JY5NK5AX6WSMTHR23NYAQ}

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	2026-05-18T03:13:11.290467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b16f8e271d6aba0bfad264cf1d6db80433c8a8ff02aafce248416aa3b59ba6ba

Aliases

arxiv: 0710.3972 · arxiv_version: 0710.3972v3 · doi: 10.48550/arxiv.0710.3972 · pith_short_12: WFXY4JY5NK5A · pith_short_16: WFXY4JY5NK5AX6WS · pith_short_8: WFXY4JY5

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/WFXY4JY5NK5AX6WSMTHR23NYAQ \
  | 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: b16f8e271d6aba0bfad264cf1d6db80433c8a8ff02aafce248416aa3b59ba6ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6628a6b5e1d447836f4a2cb5c17f6a4fb6073b098bedcda7c44abaeab72e9551",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2007-10-22T04:54:01Z",
    "title_canon_sha256": "bb1a5d7640c672134cfaf8cc6c63830f133012d08e81611c06216afa70f1afff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3972",
    "kind": "arxiv",
    "version": 3
  }
}