Pith Number

pith:RF6WJLZU

pith:2004:RF6WJLZUFD2THS3CLATN5GZNEZ

not attested not anchored not stored refs pending

Average path length in uncorrelated random networks with hidden variables

Agata Fronczak, Janusz A. Holyst, Piotr Fronczak

arxiv:cond-mat/0407098 v1 · 2004-07-05 · cond-mat.dis-nn · 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{RF6WJLZUFD2THS3CLATN5GZNEZ}

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	2026-05-18T01:06:53.872082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

897d64af3428f533cb625826de9b2d266be9b02238d2a99e5cb72ab97bc83b53

Aliases

arxiv: cond-mat/0407098 · arxiv_version: cond-mat/0407098v1 · doi: 10.48550/arxiv.cond-mat/0407098 · pith_short_12: RF6WJLZUFD2T · pith_short_16: RF6WJLZUFD2THS3C · pith_short_8: RF6WJLZU

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/RF6WJLZUFD2THS3CLATN5GZNEZ \
  | 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: 897d64af3428f533cb625826de9b2d266be9b02238d2a99e5cb72ab97bc83b53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df1502c05a40826bcd2e0d3a7cc730f3387e2569e6c2ffc43b2095bed3259099",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2004-07-05T09:10:49Z",
    "title_canon_sha256": "37fef52092ba017ad22eb60180cdd8834f86348b82d57b6539a2c2476b3474dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0407098",
    "kind": "arxiv",
    "version": 1
  }
}