Pith Number

pith:NGH3WGVN

pith:2003:NGH3WGVNQLDWU3XSYGN5K2F2P4

not attested not anchored not stored refs pending

Statistical mechanics of topological phase transitions in networks

Gergely Palla, Illes Farkas, Imre Derenyi, Tamas Vicsek

arxiv:cond-mat/0309556 v2 · 2003-09-24 · 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{NGH3WGVNQLDWU3XSYGN5K2F2P4}

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	2026-05-18T01:06:56.785635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

698fbb1aad82c76a6ef2c19bd568ba7f1f70c8686bf1debcec1000d51d52628a

Aliases

arxiv: cond-mat/0309556 · arxiv_version: cond-mat/0309556v2 · doi: 10.48550/arxiv.cond-mat/0309556 · pith_short_12: NGH3WGVNQLDW · pith_short_16: NGH3WGVNQLDWU3XS · pith_short_8: NGH3WGVN

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/NGH3WGVNQLDWU3XSYGN5K2F2P4 \
  | 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: 698fbb1aad82c76a6ef2c19bd568ba7f1f70c8686bf1debcec1000d51d52628a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b4c5480decd3054c0a85d96e2f01146788c0b1195daf04c19f259ca764d5756",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2003-09-24T15:40:48Z",
    "title_canon_sha256": "8748136da3d615d50504854018830450ccd4450587c1f272576358c726c98537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0309556",
    "kind": "arxiv",
    "version": 2
  }
}