pith. sign in
Pith Number

pith:WGCAVIWV

pith:2013:WGCAVIWVN63NKAE5TD6FHNTOJW
not attested not anchored not stored refs pending

Can you play a fair game of craps with a loaded pair of dice?

David Swinarski, Ian Morrison

arxiv:1308.6816 v1 · 2013-08-30 · math.HO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WGCAVIWVN63NKAE5TD6FHNTOJW}

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 2026-05-18T03:14:30.802457Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b1840aa2d56fb6d5009d98fc53b66e4d85b58bf6b0d552dc17928183ba311ea7

Aliases

arxiv: 1308.6816 · arxiv_version: 1308.6816v1 · doi: 10.48550/arxiv.1308.6816 · pith_short_12: WGCAVIWVN63N · pith_short_16: WGCAVIWVN63NKAE5 · pith_short_8: WGCAVIWV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WGCAVIWVN63NKAE5TD6FHNTOJW \
  | 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: b1840aa2d56fb6d5009d98fc53b66e4d85b58bf6b0d552dc17928183ba311ea7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2c41cd8c5a137c8a6530f8852a0dfce8dfeb6350846f3919d7dd5668ab3e0f5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2013-08-30T18:26:04Z",
    "title_canon_sha256": "deac31001fae1cb85b2373d6a538d9c792bb1633c319ab7ff810f9f3f00a82a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6816",
    "kind": "arxiv",
    "version": 1
  }
}