Pith Number

pith:MYWP7UM3

pith:2018:MYWP7UM3QSHJ7CRQ7IXFCJLWDI

not attested not anchored not stored refs pending

Bounding $\chi$ by a fraction of $\Delta$ for graphs without large cliques

Luke Postle, Marthe Bonamy, Peter Nelson, Tom Kelly

arxiv:1803.01051 v1 · 2018-03-02 · 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{MYWP7UM3QSHJ7CRQ7IXFCJLWDI}

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	2026-05-18T00:22:01.886205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

662cffd19b848e9f8a30fa2e5125761a119d619e7cd97f8ed365431d47eb2b10

Aliases

arxiv: 1803.01051 · arxiv_version: 1803.01051v1 · doi: 10.48550/arxiv.1803.01051 · pith_short_12: MYWP7UM3QSHJ · pith_short_16: MYWP7UM3QSHJ7CRQ · pith_short_8: MYWP7UM3

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/MYWP7UM3QSHJ7CRQ7IXFCJLWDI \
  | 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: 662cffd19b848e9f8a30fa2e5125761a119d619e7cd97f8ed365431d47eb2b10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7726cfc2356581dd84da3aae5f472acad0dec465ef4202a3b300d23b411ab290",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-02T21:44:00Z",
    "title_canon_sha256": "3ac5b928430f4181347e5244dfb3e574bed99434286e9cabd7453b3a855cf336"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01051",
    "kind": "arxiv",
    "version": 1
  }
}