Pith Number

pith:APHUW2SG

pith:2020:APHUW2SGPPHHWAW3JULKHQSW5S

not attested not anchored not stored refs pending

An improved procedure for colouring graphs of bounded local density

Eoin Hurley, R\'emi de Joannis de Verclos, Ross J. Kang

arxiv:2007.07874 v3 · 2020-07-15 · 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{APHUW2SGPPHHWAW3JULKHQSW5S}

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	2026-07-05T04:56:09.516987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03cf4b6a467bce7b02db4d16a3c256ec86169ed570c72953990a2c95507a1005

Aliases

arxiv: 2007.07874 · arxiv_version: 2007.07874v3 · doi: 10.48550/arxiv.2007.07874 · pith_short_12: APHUW2SGPPHH · pith_short_16: APHUW2SGPPHHWAW3 · pith_short_8: APHUW2SG

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/APHUW2SGPPHHWAW3JULKHQSW5S \
  | 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: 03cf4b6a467bce7b02db4d16a3c256ec86169ed570c72953990a2c95507a1005

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eff6f484da638d62bed546cd0dd077d95aee1b7d2c01f4573dab6c56018b87d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-07-15T17:49:16Z",
    "title_canon_sha256": "fcb8f784fb5fc0b0bc000042ec7ccab519c91d591e277aa4969dccfb3b93f144"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.07874",
    "kind": "arxiv",
    "version": 3
  }
}