Pith Number

pith:HP3HLT67

pith:2012:HP3HLT672BETSF2D67S3ZBBE72

not attested not anchored not stored refs pending

The signed loop approach to the Ising model: foundations and critical point

Marcin Lis, Ronald Meester, Wouter Kager

arxiv:1208.5325 v4 · 2012-08-27 · 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{HP3HLT672BETSF2D67S3ZBBE72}

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	2026-05-18T03:18:06.354470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bf675cfdfd049391743f7e5bc8424fe9f60e9697f3b8e52c26e4c86cf582478

Aliases

arxiv: 1208.5325 · arxiv_version: 1208.5325v4 · doi: 10.48550/arxiv.1208.5325 · pith_short_12: HP3HLT672BET · pith_short_16: HP3HLT672BETSF2D · pith_short_8: HP3HLT67

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/HP3HLT672BETSF2D67S3ZBBE72 \
  | 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: 3bf675cfdfd049391743f7e5bc8424fe9f60e9697f3b8e52c26e4c86cf582478

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3253bdec38d8b5fee03363a53509e4245b8edbd7bc32171c62ede6878a818e5f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-27T08:26:19Z",
    "title_canon_sha256": "b40579b14ddfc24ea9b9c6a3d587782f6e7a5a05d1329abf2fab59af002108b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5325",
    "kind": "arxiv",
    "version": 4
  }
}