pith. sign in
Pith Number

pith:L5WSKRJ2

pith:2013:L5WSKRJ2IT7ZEPGFNUMGRTOWUO
not attested not anchored not stored refs pending

Cuboidal Dice and Gibbs Distributions

Danail Obreschkow, Dietrich Stoyan, Wolfgang Riemer

arxiv:1302.3925 v2 · 2013-02-16 · math-ph · math.MP · math.PR · stat.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{L5WSKRJ2IT7ZEPGFNUMGRTOWUO}

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 2026-05-18T02:45:58.373040Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5f6d25453a44ff923cc56d1868cdd6a396fd694f7f1aa3be81c5048755a0d8b2

Aliases

arxiv: 1302.3925 · arxiv_version: 1302.3925v2 · doi: 10.48550/arxiv.1302.3925 · pith_short_12: L5WSKRJ2IT7Z · pith_short_16: L5WSKRJ2IT7ZEPGF · pith_short_8: L5WSKRJ2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/L5WSKRJ2IT7ZEPGFNUMGRTOWUO \
  | 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: 5f6d25453a44ff923cc56d1868cdd6a396fd694f7f1aa3be81c5048755a0d8b2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4d218140e90d59a0e919a00d6addc3b10f8411b7b556b55d860a81d9120e407f",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR",
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-02-16T03:53:28Z",
    "title_canon_sha256": "de493faf3fc86aaf0dac0158c6bc262a4b1091a1c18487c9faa76f5e5b858ba5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3925",
    "kind": "arxiv",
    "version": 2
  }
}