Pith Number

pith:DRCYOSMN

pith:2009:DRCYOSMNBGWEKAOHRMBGNHUPLT

not attested not anchored not stored refs pending

Algebraic proof of Brooks' theorem

Daniel Kr\'al', Jan Hladk\'y, Uwe Schauz

arxiv:0905.3475 v2 · 2009-05-21 · 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{DRCYOSMNBGWEKAOHRMBGNHUPLT}

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	2026-05-18T00:39:18.861813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c4587498d09ac4501c78b02669e8f5cfbf1cb93f197a7ed1c4498c52cab2faa

Aliases

arxiv: 0905.3475 · arxiv_version: 0905.3475v2 · doi: 10.48550/arxiv.0905.3475 · pith_short_12: DRCYOSMNBGWE · pith_short_16: DRCYOSMNBGWEKAOH · pith_short_8: DRCYOSMN

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/DRCYOSMNBGWEKAOHRMBGNHUPLT \
  | 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: 1c4587498d09ac4501c78b02669e8f5cfbf1cb93f197a7ed1c4498c52cab2faa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cafb345d408dfb0c383fb959caada2d45f26899aecb245624d9e829b9f258b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-05-21T11:57:42Z",
    "title_canon_sha256": "55d6a5f21d5e48510efe452b0655c4c9bc0add07a305368fe7dd0a86493f644a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3475",
    "kind": "arxiv",
    "version": 2
  }
}