Pith Number

pith:H6GERHVC

pith:2013:H6GERHVC7NZD6TKBBVK7MFLTIN

not attested not anchored not stored refs pending

Brooks' theorem on powers of graphs

Marthe Bonamy, Nicolas Bousquet

arxiv:1310.5493 v1 · 2013-10-21 · cs.DM · 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{H6GERHVC7NZD6TKBBVK7MFLTIN}

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

Coloring, List Coloring, and Painting Squares of Graphs (and other related problems)

Receipt and verification

First computed	2026-05-18T03:09:35.399597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f8c489ea2fb723f4d410d55f615734372200508d87a370b9cacf3ec1875a61f

Aliases

arxiv: 1310.5493 · arxiv_version: 1310.5493v1 · doi: 10.48550/arxiv.1310.5493 · pith_short_12: H6GERHVC7NZD · pith_short_16: H6GERHVC7NZD6TKB · pith_short_8: H6GERHVC

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/H6GERHVC7NZD6TKBBVK7MFLTIN \
  | 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: 3f8c489ea2fb723f4d410d55f615734372200508d87a370b9cacf3ec1875a61f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bff5a70b172323f8c08adad8312f1b021182a8f0a3c18af3a12bdc8aa60823b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-10-21T10:31:08Z",
    "title_canon_sha256": "5424466b7058ad2fbd388d8d0a2e34ffa2a94dedb9aed4a83550de7ae19a3545"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5493",
    "kind": "arxiv",
    "version": 1
  }
}