Pith Number

pith:4WV6HEFG

pith:2018:4WV6HEFG4JYVL4O5RZYFUAPH45

not attested not anchored not stored refs pending

Defective and Clustered Graph Colouring

David R. Wood

arxiv:1803.07694 v1 · 2018-03-20 · 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{4WV6HEFG4JYVL4O5RZYFUAPH45}

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

Defective correspondence coloring of planar graphs

Receipt and verification

First computed	2026-05-18T00:20:29.247617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5abe390a6e27155f1dd8e705a01e7e77aae8b1f92e394ac9c03a58ded00c225

Aliases

arxiv: 1803.07694 · arxiv_version: 1803.07694v1 · doi: 10.48550/arxiv.1803.07694 · pith_short_12: 4WV6HEFG4JYV · pith_short_16: 4WV6HEFG4JYVL4O5 · pith_short_8: 4WV6HEFG

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/4WV6HEFG4JYVL4O5RZYFUAPH45 \
  | 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: e5abe390a6e27155f1dd8e705a01e7e77aae8b1f92e394ac9c03a58ded00c225

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db2cba72baf351e88a384830f2b3d11c20e3ec18ee0937e5923c64e11ab32a7c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-20T23:42:47Z",
    "title_canon_sha256": "3ba34a18b90039efc754c34ae4b6e5e55a31990722fc4bd34ad3e82ee81fbf57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07694",
    "kind": "arxiv",
    "version": 1
  }
}