pith. sign in
Pith Number

pith:FPJ45T6A

pith:2008:FPJ45T6APPUBWXPUGRCTIYWZY7
not attested not anchored not stored refs pending

Generalized Transformation for Decorated Spin Models

J. S. Valverde, Onofre Rojas, S. M. de Souza

arxiv:0809.4710 v3 · 2008-09-26 · math-ph · cond-mat.stat-mech · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FPJ45T6APPUBWXPUGRCTIYWZY7}

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 2026-05-18T04:27:45.754278Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2bd3cecfc07be81b5df434453462d9c7dc2cb48f7a6b6f053671418df25a3243

Aliases

arxiv: 0809.4710 · arxiv_version: 0809.4710v3 · doi: 10.48550/arxiv.0809.4710 · pith_short_12: FPJ45T6APPUB · pith_short_16: FPJ45T6APPUBWXPU · pith_short_8: FPJ45T6A
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FPJ45T6APPUBWXPUGRCTIYWZY7 \
  | 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: 2bd3cecfc07be81b5df434453462d9c7dc2cb48f7a6b6f053671418df25a3243
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b6621ff4e048a058e01e2a877782b99ae79d98482a02b487d8844a5ee97887a4",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-09-26T20:44:19Z",
    "title_canon_sha256": "2f393a3983211a000ce314e9b6ca6d84ee416214111b8addae8ae600c9668671"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4710",
    "kind": "arxiv",
    "version": 3
  }
}