Pith Number

pith:ORRNBJTE

pith:2015:ORRNBJTEQK4A7MYW6GWMAYDRNH

not attested not anchored not stored refs pending

Colouring powers and girth

Fran\c{c}ois Pirot, Ross J. Kang

arxiv:1511.08826 v2 · 2015-11-27 · 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{ORRNBJTEQK4A7MYW6GWMAYDRNH}

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	2026-05-18T00:40:08.483791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7462d0a66482b80fb316f1acc0607169e68039db94851391d20a085d7d570845

Aliases

arxiv: 1511.08826 · arxiv_version: 1511.08826v2 · doi: 10.48550/arxiv.1511.08826 · pith_short_12: ORRNBJTEQK4A · pith_short_16: ORRNBJTEQK4A7MYW · pith_short_8: ORRNBJTE

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/ORRNBJTEQK4A7MYW6GWMAYDRNH \
  | 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: 7462d0a66482b80fb316f1acc0607169e68039db94851391d20a085d7d570845

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66edd1ca6bdb754440f37491f4a7fca2d0bf06e2a16c56a5f993a19dce82ecf9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-27T21:43:03Z",
    "title_canon_sha256": "90d484d9e3a2ac724b5f116202ce107c6434dfa9a7d203cf9695019eee5d226e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08826",
    "kind": "arxiv",
    "version": 2
  }
}