Pith Number

pith:J6JTA36I

pith:2023:J6JTA36IBBGIQNPBASU3QHDHOZ

not attested not anchored not stored refs pending

Clustered Colouring of Odd-$H$-Minor-Free Graphs

David R. Wood, Dong Yeap Kang, Raphael Steiner, Robert Hickingbotham, Sang-il Oum

arxiv:2308.15721 v2 · 2023-08-30 · 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{J6JTA36IBBGIQNPBASU3QHDHOZ}

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.

Cited by

1 paper in Pith

3-Colouring Planar Graphs

Receipt and verification

First computed	2026-07-05T09:22:37.197161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f93306fc8084c8835e104a9b81c677658c051dfe6f74b5ae1caa3f0906aa1e6

Aliases

arxiv: 2308.15721 · arxiv_version: 2308.15721v2 · doi: 10.48550/arxiv.2308.15721 · pith_short_12: J6JTA36IBBGI · pith_short_16: J6JTA36IBBGIQNPB · pith_short_8: J6JTA36I

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/J6JTA36IBBGIQNPBASU3QHDHOZ \
  | 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: 4f93306fc8084c8835e104a9b81c677658c051dfe6f74b5ae1caa3f0906aa1e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66930cd943c3c17c2c5517a64260c5f904998829e85a35494a79c4b01764a9d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-08-30T02:53:20Z",
    "title_canon_sha256": "084936ba3388fe74fb15a3c50da79bd6a33131a4683ac54ee84b1eac87fc7a4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.15721",
    "kind": "arxiv",
    "version": 2
  }
}