Pith Number

pith:Q7XNNSVK

pith:1999:Q7XNNSVKMHLONFJH4T25JG4ZDM

not attested not anchored not stored refs pending

Spreading and shortest paths in systems with sparse long-range connections

Cristian F. Moukarzel (UFF)

arxiv:cond-mat/9905322 v1 · 1999-05-21 · cond-mat.dis-nn · cond-mat.soft · 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{Q7XNNSVKMHLONFJH4T25JG4ZDM}

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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	2026-07-04T16:12:44.415573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87eed6caaa61d6e69527e4f5d49b991b06beb07d293fc9dacbdd99dc1d86a9df

Aliases

arxiv: cond-mat/9905322 · arxiv_version: cond-mat/9905322v1 · doi: 10.48550/arxiv.cond-mat/9905322 · pith_short_12: Q7XNNSVKMHLO · pith_short_16: Q7XNNSVKMHLONFJH · pith_short_8: Q7XNNSVK

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/Q7XNNSVKMHLONFJH4T25JG4ZDM \
  | 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: 87eed6caaa61d6e69527e4f5d49b991b06beb07d293fc9dacbdd99dc1d86a9df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee494e205b01e0c04743f63eb1c47aaf41276720ff7dde08ed3c242ce8d85e08",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "1999-05-21T21:47:06Z",
    "title_canon_sha256": "196e7d9dc4c0a0420ae86a5854af8984b2b2b8a8877c954d36ebe13480e01445"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9905322",
    "kind": "arxiv",
    "version": 1
  }
}