Pith Number

pith:LM5JCCR5

pith:2007:LM5JCCR5B6CZWLP3MS4IFIPVJC

not attested not anchored not stored refs pending

The rich-club phenomenon across complex network hierarchies

Julian J. McAuley, Luciano da Fontoura Costa, Tiberio S. Caetano

arxiv:physics/0701290 v1 · 2007-01-25 · 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{LM5JCCR5B6CZWLP3MS4IFIPVJC}

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	2026-07-04T17:08:37.507932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b3a910a3d0f859b2dfb64b882a1f5488f664a58845cf0526b5895fa242ad45b

Aliases

arxiv: physics/0701290 · arxiv_version: physics/0701290v1 · doi: 10.48550/arxiv.physics/0701290 · pith_short_12: LM5JCCR5B6CZ · pith_short_16: LM5JCCR5B6CZWLP3 · pith_short_8: LM5JCCR5

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/LM5JCCR5B6CZWLP3MS4IFIPVJC \
  | 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: 5b3a910a3d0f859b2dfb64b882a1f5488f664a58845cf0526b5895fa242ad45b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daa1b1d1d835392435f5e7d491197e754486c97cc4c861c0543577bd620f746b",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2007-01-25T05:44:09Z",
    "title_canon_sha256": "7711bb31aca2a4e906100e009677e37a718ee41ba38cfd1fff6bd85722b70bf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0701290",
    "kind": "arxiv",
    "version": 1
  }
}