Pith Number

pith:BKE7YIOF

pith:2018:BKE7YIOFYFO6TYDFNQBIUFVIPW

not attested not anchored not stored refs pending

Perfect colourings of regular graphs

Dirk Frettl\"oh, Joseph R.C. Damasco

arxiv:1804.03552 v2 · 2018-04-10 · 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{BKE7YIOFYFO6TYDFNQBIUFVIPW}

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	2026-05-17T23:43:23.870076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a89fc21c5c15de9e0656c028a16a87da2bc1b81c071138235712c6875ef2007

Aliases

arxiv: 1804.03552 · arxiv_version: 1804.03552v2 · doi: 10.48550/arxiv.1804.03552 · pith_short_12: BKE7YIOFYFO6 · pith_short_16: BKE7YIOFYFO6TYDF · pith_short_8: BKE7YIOF

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/BKE7YIOFYFO6TYDFNQBIUFVIPW \
  | 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: 0a89fc21c5c15de9e0656c028a16a87da2bc1b81c071138235712c6875ef2007

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a165253c1c0e3f8a77aa18601336c9d355ca20fa2031c9046d5a850c9b0b94df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-10T14:16:25Z",
    "title_canon_sha256": "caced6b11470079f3b21671d73dac70f4e962a969ac1260301e0d12b784df399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03552",
    "kind": "arxiv",
    "version": 2
  }
}