Pith Number

pith:S67JAVSY

pith:2013:S67JAVSYLDMBUJSSSZSC6NRD27

not attested not anchored not stored refs pending

Graphs with maximum degree D at least 17 and maximum average degree less than 3 are list 2-distance (D+2)-colorable

Alexandre Pinlou, Benjamin L\'ev\^eque, Marthe Bonamy

arxiv:1301.7090 v1 · 2013-01-29 · cs.DM · 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{S67JAVSYLDMBUJSSSZSC6NRD27}

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	2026-05-18T03:35:01.324798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97be90565858d81a265296642f3623d7dbbe4d70d6e7b3cad465f555ff29e757

Aliases

arxiv: 1301.7090 · arxiv_version: 1301.7090v1 · doi: 10.48550/arxiv.1301.7090 · pith_short_12: S67JAVSYLDMB · pith_short_16: S67JAVSYLDMBUJSS · pith_short_8: S67JAVSY

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/S67JAVSYLDMBUJSSSZSC6NRD27 \
  | 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: 97be90565858d81a265296642f3623d7dbbe4d70d6e7b3cad465f555ff29e757

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba87d86fc2847da8b5f67bf6f7a4fac62578eb04e5d0f20a78cabf2ca495371f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-01-29T22:44:52Z",
    "title_canon_sha256": "612de04bd7692ef687cf3c22cca82f24a67cc297b3f1a62349721aac08fe6a33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7090",
    "kind": "arxiv",
    "version": 1
  }
}