Pith Number

pith:CSXQ7QRP

pith:2017:CSXQ7QRPIQDNHXBU5VVYFBLTZZ

not attested not anchored not stored refs pending

Maximum number of colourings. II. 5-chromatic graphs

Bojan Mohar, Fiachra Knox

arxiv:1710.06535 v1 · 2017-10-18 · 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{CSXQ7QRPIQDNHXBU5VVYFBLTZZ}

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	2026-05-18T00:32:33.449766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14af0fc22f4406d3dc34ed6b828573ce506ddd14bfa5800435bdbfcbd2318b3f

Aliases

arxiv: 1710.06535 · arxiv_version: 1710.06535v1 · doi: 10.48550/arxiv.1710.06535 · pith_short_12: CSXQ7QRPIQDN · pith_short_16: CSXQ7QRPIQDNHXBU · pith_short_8: CSXQ7QRP

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/CSXQ7QRPIQDNHXBU5VVYFBLTZZ \
  | 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: 14af0fc22f4406d3dc34ed6b828573ce506ddd14bfa5800435bdbfcbd2318b3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef00f59ac08d280e08c07d598ac044331902baf0dc1918544cdd26642ac47aea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-18T00:23:39Z",
    "title_canon_sha256": "bd89d564cb7d1ddf7333eee22c7a8b8b5fc3140e065cae1f53309cd8a404f7d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06535",
    "kind": "arxiv",
    "version": 1
  }
}