Pith Number

pith:PLOWCSSG

pith:2018:PLOWCSSGEQ56GHENFE6CM66GHA

not attested not anchored not stored refs pending

Frozen $(\Delta+1)$-colourings of bounded degree graphs

Guillem Perarnau, Marthe Bonamy, Nicolas Bousquet

arxiv:1811.12650 v1 · 2018-11-30 · 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{PLOWCSSGEQ56GHENFE6CM66GHA}

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	2026-05-17T23:59:28.938511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7add614a46243be31c8d293c267bc6382acb7bb3acb431ee95e91ff7dd807bce

Aliases

arxiv: 1811.12650 · arxiv_version: 1811.12650v1 · doi: 10.48550/arxiv.1811.12650 · pith_short_12: PLOWCSSGEQ56 · pith_short_16: PLOWCSSGEQ56GHEN · pith_short_8: PLOWCSSG

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/PLOWCSSGEQ56GHENFE6CM66GHA \
  | 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: 7add614a46243be31c8d293c267bc6382acb7bb3acb431ee95e91ff7dd807bce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77bdffd42433ac9e7451937148a3192ac27d39c41d1ede9dfb3f3de43f72e965",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-30T07:34:36Z",
    "title_canon_sha256": "6f2c3183e70e3c5dc139a2c0c30dd5cdfecfd781d1177181998460a855b86764"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.12650",
    "kind": "arxiv",
    "version": 1
  }
}