Pith Number

pith:RP6X6X2D

pith:2017:RP6X6X2DT6OG4DQ62HACGEZU4Y

not attested not anchored not stored refs pending

Maximum number of colourings. I. 4-chromatic graphs

Bojan Mohar, Fiachra Knox

arxiv:1708.01781 v1 · 2017-08-05 · 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{RP6X6X2DT6OG4DQ62HACGEZU4Y}

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.

Receipt and verification

First computed	2026-05-18T00:38:33.170058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bfd7f5f439f9c6e0e1ed1c0231334e6384c1cf92e2a9ccaa174dad6dfd8ffb6

Aliases

arxiv: 1708.01781 · arxiv_version: 1708.01781v1 · doi: 10.48550/arxiv.1708.01781 · pith_short_12: RP6X6X2DT6OG · pith_short_16: RP6X6X2DT6OG4DQ6 · pith_short_8: RP6X6X2D

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/RP6X6X2DT6OG4DQ62HACGEZU4Y \
  | 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: 8bfd7f5f439f9c6e0e1ed1c0231334e6384c1cf92e2a9ccaa174dad6dfd8ffb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb2de16792bae5183c85dda3fda7bbe96d540173ea6dd14dfa3ca978db32a573",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-05T15:25:27Z",
    "title_canon_sha256": "70091755dbc378df8da810d0a4bd1517c598f6c808ee8f399fee6b3ab1b027f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01781",
    "kind": "arxiv",
    "version": 1
  }
}