Pith Number

pith:PD2EW2WK

pith:2013:PD2EW2WK53CE4PS5ZAKLQQHVUR

not attested not anchored not stored refs pending

Painting Squares in $\Delta^2-1$ Shades

Daniel W. Cranston, Landon Rabern

arxiv:1311.1251 v2 · 2013-11-05 · 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{PD2EW2WK53CE4PS5ZAKLQQHVUR}

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	2026-05-18T00:44:39.163854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78f44b6acaeec44e3e5dc814b840f5a44bfc40c7c1f1ac214668dd238bf1e57c

Aliases

arxiv: 1311.1251 · arxiv_version: 1311.1251v2 · doi: 10.48550/arxiv.1311.1251 · pith_short_12: PD2EW2WK53CE · pith_short_16: PD2EW2WK53CE4PS5 · pith_short_8: PD2EW2WK

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/PD2EW2WK53CE4PS5ZAKLQQHVUR \
  | 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: 78f44b6acaeec44e3e5dc814b840f5a44bfc40c7c1f1ac214668dd238bf1e57c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d20a5964df311eb170776801707d30ecc75c3be56b265c550bd52030ccc4d2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-05T23:52:46Z",
    "title_canon_sha256": "a6bbd2b811ffc9d8a3f8394e881f11de734def93f9ec84189089b45a0ce14426"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1251",
    "kind": "arxiv",
    "version": 2
  }
}