Pith Number

pith:L23BRXPB

pith:2015:L23BRXPBKY5HLSVMAM6MBGP5BR

not attested not anchored not stored refs pending

Coloring the square of a sparse graph $G$ with almost $\Delta(G)$ colors

Matthew Yancey

arxiv:1502.03132 v2 · 2015-02-10 · 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{L23BRXPBKY5HLSVMAM6MBGP5BR}

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	2026-05-18T02:18:58.159603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5eb618dde1563a75caac033cc099fd0c5efbb1623a5af7c1aea56cdfa47b0748

Aliases

arxiv: 1502.03132 · arxiv_version: 1502.03132v2 · doi: 10.48550/arxiv.1502.03132 · pith_short_12: L23BRXPBKY5H · pith_short_16: L23BRXPBKY5HLSVM · pith_short_8: L23BRXPB

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/L23BRXPBKY5HLSVMAM6MBGP5BR \
  | 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: 5eb618dde1563a75caac033cc099fd0c5efbb1623a5af7c1aea56cdfa47b0748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7c28a292ff5722c6eac6e260dcb1a1e1428ca51ad976208c4be744eaaf8f5c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-10T21:44:25Z",
    "title_canon_sha256": "46d62a985ae28919470776978f49eb4ff526c5f0006c4c7bcb630a90e026e5fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03132",
    "kind": "arxiv",
    "version": 2
  }
}