Pith Number

pith:GCIM6JSC

pith:2015:GCIM6JSCAZKD2CHVRPBOLP6C5U

not attested not anchored not stored refs pending

List-coloring the Squares of Planar Graphs without 4-Cycles and 5-Cycles

Bobby Jaeger, Daniel W. Cranston

arxiv:1505.03197 v1 · 2015-05-13 · 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{GCIM6JSCAZKD2CHVRPBOLP6C5U}

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	2026-05-18T00:42:33.480544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3090cf264206543d08f58bc2e5bfc2ed17c2bdbf6f07258855fa27a5e730b622

Aliases

arxiv: 1505.03197 · arxiv_version: 1505.03197v1 · doi: 10.48550/arxiv.1505.03197 · pith_short_12: GCIM6JSCAZKD · pith_short_16: GCIM6JSCAZKD2CHV · pith_short_8: GCIM6JSC

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/GCIM6JSCAZKD2CHVRPBOLP6C5U \
  | 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: 3090cf264206543d08f58bc2e5bfc2ed17c2bdbf6f07258855fa27a5e730b622

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a50d8ca31c30acf8526a548147e5a4254888a8a6255603533fc9f22d6743f0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-13T00:14:51Z",
    "title_canon_sha256": "245e2fd228d513d7b52d95e799addafd9c33c726d1fca271ba47fbd882056eca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03197",
    "kind": "arxiv",
    "version": 1
  }
}