Pith Number

pith:NOKTP2J3

pith:2013:NOKTP2J3QIWI57RT4X3FD5JHTZ

not attested not anchored not stored refs pending

Wheel-free planar graphs

Maria Chudnovsky, Nicolas Trotignon, Paul Seymour, Pierre Aboulker

arxiv:1309.7120 v2 · 2013-09-27 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NOKTP2J3QIWI57RT4X3FD5JHTZ}

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	2026-05-18T02:19:25.812555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b9537e93b822c8efe33e5f651f5279e4da1e77ff0c680a57384b5bb48cd6626

Aliases

arxiv: 1309.7120 · arxiv_version: 1309.7120v2 · doi: 10.48550/arxiv.1309.7120 · pith_short_12: NOKTP2J3QIWI · pith_short_16: NOKTP2J3QIWI57RT · pith_short_8: NOKTP2J3

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/NOKTP2J3QIWI57RT4X3FD5JHTZ \
  | 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: 6b9537e93b822c8efe33e5f651f5279e4da1e77ff0c680a57384b5bb48cd6626

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "404eca09bde65af8734fc35a56a3e671558d4a6e33bf2fc9a6a2d9ce0bb57238",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-27T06:01:41Z",
    "title_canon_sha256": "ae8b8885e48daeaa1c8612c01907854c70878a08ec2520c36e329ee06adb7d98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7120",
    "kind": "arxiv",
    "version": 2
  }
}