Pith Number

pith:7KBGJC4J

pith:2013:7KBGJC4JEYRJCPBITVIKAIMRYG

not attested not anchored not stored refs pending

Intransitive Dice

Andrew Liu, Brian Conrey, James Gabbard, Katie Grant, Kent Morrison

arxiv:1311.6511 v2 · 2013-11-25 · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KBGJC4JEYRJCPBITVIKAIMRYG}

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	2026-05-18T01:11:21.965337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa82648b892622913c289d50a02191c1a1a01636298ca5c4cc31ac5be71b5285

Aliases

arxiv: 1311.6511 · arxiv_version: 1311.6511v2 · doi: 10.48550/arxiv.1311.6511 · pith_short_12: 7KBGJC4JEYRJ · pith_short_16: 7KBGJC4JEYRJCPBI · pith_short_8: 7KBGJC4J

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/7KBGJC4JEYRJCPBITVIKAIMRYG \
  | 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: fa82648b892622913c289d50a02191c1a1a01636298ca5c4cc31ac5be71b5285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "736a06766971061d0ef66e052347c0419766ba494742e61350393c2c9bdc6071",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-25T23:05:45Z",
    "title_canon_sha256": "ff1cb69100355820852139a02e3385c6ce71b306d32da62fd25cd50c1466500a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6511",
    "kind": "arxiv",
    "version": 2
  }
}