Pith Number

pith:OCVL7ZHQ

pith:2025:OCVL7ZHQXTBFPSE6255Y2HSIDI

not attested not anchored not stored refs pending

Random cluster models on random graphs

Remco van der Hofstad, Van Hao Can

arxiv:2503.17636 v1 · 2025-03-22 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OCVL7ZHQXTBFPSE6255Y2HSIDI}

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.

Cited by

1 paper in Pith

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs

Receipt and verification

First computed	2026-07-05T10:37:51.000123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70aabfe4f0bcc257c89ed77b8d1e481a092de5d3e15fdb55189c82d3e5c19c1a

Aliases

arxiv: 2503.17636 · arxiv_version: 2503.17636v1 · doi: 10.48550/arxiv.2503.17636 · pith_short_12: OCVL7ZHQXTBF · pith_short_16: OCVL7ZHQXTBFPSE6 · pith_short_8: OCVL7ZHQ

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/OCVL7ZHQXTBFPSE6255Y2HSIDI \
  | 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: 70aabfe4f0bcc257c89ed77b8d1e481a092de5d3e15fdb55189c82d3e5c19c1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67429c5a323479eb219a81e81b521f7b4109db774ecca80c44eb4a180a3158b1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-03-22T03:46:39Z",
    "title_canon_sha256": "9db9f9c063460eab33adc5d4ff1c0df778f349caccc745026e67dbb1a840006f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.17636",
    "kind": "arxiv",
    "version": 1
  }
}