Pith Number

pith:CVOUKEBM

pith:2013:CVOUKEBMRWIX2FPFTBRFLZ3UXG

not attested not anchored not stored refs pending

Choosability of the square of a planar graph with maximum degree four

Daniel W. Cranston, Riste \v{S}krekovski, Rok Erman

arxiv:1303.5156 v2 · 2013-03-21 · 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{CVOUKEBMRWIX2FPFTBRFLZ3UXG}

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	2026-05-18T01:35:52.992037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

155d45102c8d917d15e5986255e774b9ba133bbfe768baf1611dacfe641831ca

Aliases

arxiv: 1303.5156 · arxiv_version: 1303.5156v2 · doi: 10.48550/arxiv.1303.5156 · pith_short_12: CVOUKEBMRWIX · pith_short_16: CVOUKEBMRWIX2FPF · pith_short_8: CVOUKEBM

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/CVOUKEBMRWIX2FPFTBRFLZ3UXG \
  | 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: 155d45102c8d917d15e5986255e774b9ba133bbfe768baf1611dacfe641831ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9756704f640e0caac2e652c6840e80051274c5eede33430617245037ff3a5980",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-21T03:59:00Z",
    "title_canon_sha256": "afbb9cef2c7ead571856ad78313e5736ccbd57d8019ac4cb180121dfecd8b4c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5156",
    "kind": "arxiv",
    "version": 2
  }
}