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Pith Number

pith:Y4O6GLJR

pith:2009:Y4O6GLJRBDISW2PBSOAIDC7XII
not attested not anchored not stored refs pending

Excluding Kuratowski graphs and their duals from binary matroids

Dillon Mayhew, Geoff Whittle, Gordon Royle

arxiv:0902.0198 v3 · 2009-02-02 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Y4O6GLJRBDISW2PBSOAIDC7XII}

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 2026-05-18T00:49:42.950510Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c71de32d3108d12b69e19380818bf7420ff444b7669460732089c81feb36d671

Aliases

arxiv: 0902.0198 · arxiv_version: 0902.0198v3 · doi: 10.48550/arxiv.0902.0198 · pith_short_12: Y4O6GLJRBDIS · pith_short_16: Y4O6GLJRBDISW2PB · pith_short_8: Y4O6GLJR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Y4O6GLJRBDISW2PBSOAIDC7XII \
  | 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: c71de32d3108d12b69e19380818bf7420ff444b7669460732089c81feb36d671
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5d595e2a2ab59d0b7b0b3abdd75b4def58f5a347f94924541aa8283f80eb157d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-02-02T05:16:27Z",
    "title_canon_sha256": "1a68cd02a6434604a3462a909b4098e709932c6d25b9edaeaec0fd70f372ce1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0198",
    "kind": "arxiv",
    "version": 3
  }
}