Pith Number

pith:DD6DBY7L

pith:2018:DD6DBY7LJ6YFNJX2GCZIUAJDFX

not attested not anchored not stored refs pending

Colouring Graphs with Sparse Neighbourhoods: Bounds and Applications

Luke Postle, Marthe Bonamy, Thomas Perrett

arxiv:1810.06704 v1 · 2018-10-15 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DD6DBY7LJ6YFNJX2GCZIUAJDFX}

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	2026-05-18T00:03:11.863653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18fc30e3eb4fb056a6fa30b28a01232dc723260731f2161a11c17b9348dfcd2a

Aliases

arxiv: 1810.06704 · arxiv_version: 1810.06704v1 · doi: 10.48550/arxiv.1810.06704 · pith_short_12: DD6DBY7LJ6YF · pith_short_16: DD6DBY7LJ6YFNJX2 · pith_short_8: DD6DBY7L

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/DD6DBY7LJ6YFNJX2GCZIUAJDFX \
  | 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: 18fc30e3eb4fb056a6fa30b28a01232dc723260731f2161a11c17b9348dfcd2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "301b743b85ccd8965e0fe143f18bb2ac974130d7d2b419a7b53939fa0db891ff",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-15T21:27:19Z",
    "title_canon_sha256": "349433a5c492314d83bd0c2aa28a84bbff9ea9f39b21bda4ca28933fd285063a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06704",
    "kind": "arxiv",
    "version": 1
  }
}