pith. sign in
Pith Number

pith:XSO3KZEL

pith:2013:XSO3KZELIIIAVAT3C76OJWJTN7
not attested not anchored not stored refs pending

Symmetric generalized binomial distributions

E.M.F. Curado, H. Bergeron, J.P. Gazeau, Ligia M.C.S. Rodrigues

arxiv:1308.4863 v1 · 2013-08-22 · math-ph · cond-mat.stat-mech · math.MP · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XSO3KZELIIIAVAT3C76OJWJTN7}

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 2026-05-18T01:48:04.660446Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bc9db5648b42100a827b17fce4d9336fd9163f06f6ad10bda5dc0ff4b1fc4cce

Aliases

arxiv: 1308.4863 · arxiv_version: 1308.4863v1 · doi: 10.48550/arxiv.1308.4863 · pith_short_12: XSO3KZELIIIA · pith_short_16: XSO3KZELIIIAVAT3 · pith_short_8: XSO3KZEL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XSO3KZELIIIAVAT3C76OJWJTN7 \
  | 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: bc9db5648b42100a827b17fce4d9336fd9163f06f6ad10bda5dc0ff4b1fc4cce
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "202f9c021e67a87a418a0ff4b5ddd41e3d6b2813fe3d121e854674f7cb59f1ee",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-08-22T13:49:56Z",
    "title_canon_sha256": "2bfb7a1ae1c21d1e1b5041c64b233c0689aa7c0f27208678839439ed4d280dcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4863",
    "kind": "arxiv",
    "version": 1
  }
}