Pith Number

pith:2RDUHLHE

pith:2013:2RDUHLHEPVVWFORNHT5FIIXT5J

not attested not anchored not stored refs pending

Perfect simulation for the infinite random cluster model, Ising and Potts models at low or high temperature

Andrea Maffei, Emilio De Santis

arxiv:1301.0113 v1 · 2013-01-01 · 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{2RDUHLHEPVVWFORNHT5FIIXT5J}

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	2026-05-18T03:37:28.212666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d44743ace47d6b62ba2d3cfa5422f3ea5eb0ce4ac9269db9af17af11685b227a

Aliases

arxiv: 1301.0113 · arxiv_version: 1301.0113v1 · doi: 10.48550/arxiv.1301.0113 · pith_short_12: 2RDUHLHEPVVW · pith_short_16: 2RDUHLHEPVVWFORN · pith_short_8: 2RDUHLHE

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/2RDUHLHEPVVWFORNHT5FIIXT5J \
  | 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: d44743ace47d6b62ba2d3cfa5422f3ea5eb0ce4ac9269db9af17af11685b227a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad25999555428bc81e31a35a45a25d71e8328bb772062a6f34afe3c0a862ca83",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-01T18:26:16Z",
    "title_canon_sha256": "f254875e6e12b37ce44ec283b3b90926c37e548af7824c5d68ae55a9c2f562b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0113",
    "kind": "arxiv",
    "version": 1
  }
}