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Pith Number

pith:M3QTXNUE

pith:2013:M3QTXNUEUJ56R2UYYOGNC63C35
not attested not anchored not stored refs pending

Excluding induced subdivisions of the bull and related graphs

Alexander Scott, Irena Penev, Maria Chudnovsky, Nicolas Trotignon

arxiv:1309.1312 v1 · 2013-09-05 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{M3QTXNUEUJ56R2UYYOGNC63C35}

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 2026-05-18T03:14:07.629471Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

66e13bb684a27be8ea98c38cd17b62df694d3415c971e1e4b6da810e7259e51f

Aliases

arxiv: 1309.1312 · arxiv_version: 1309.1312v1 · doi: 10.48550/arxiv.1309.1312 · pith_short_12: M3QTXNUEUJ56 · pith_short_16: M3QTXNUEUJ56R2UY · pith_short_8: M3QTXNUE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/M3QTXNUEUJ56R2UYYOGNC63C35 \
  | 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: 66e13bb684a27be8ea98c38cd17b62df694d3415c971e1e4b6da810e7259e51f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "550967de0898fb3ab9498e6de6bac784fb7a7f8b2dd3d8a72e8f57f30beeb1f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-05T11:18:30Z",
    "title_canon_sha256": "fdba563bb96a921e5cb67679b55bf3e933129d35677ffa61c8d33552db524119"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1312",
    "kind": "arxiv",
    "version": 1
  }
}