Pith Number

pith:BOT3QKTK

pith:2011:BOT3QKTK5L7HNWK4CQQ26WLATP

not attested not anchored not stored refs pending

A local strengthening of Reed's {\omega}, \Delta, {\chi} conjecture for quasi-line graphs

Andrew D. King, Maria Chudnovsky, Matthieu Plumettaz, Paul Seymour

arxiv:1109.2112 v2 · 2011-09-09 · cs.DM · 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{BOT3QKTK5L7HNWK4CQQ26WLATP}

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	2026-05-18T04:07:29.012609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ba7b82a6aeafe76d95c1421af59609bd5c0aacc04026c7aa16d85764d807506

Aliases

arxiv: 1109.2112 · arxiv_version: 1109.2112v2 · doi: 10.48550/arxiv.1109.2112 · pith_short_12: BOT3QKTK5L7H · pith_short_16: BOT3QKTK5L7HNWK4 · pith_short_8: BOT3QKTK

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/BOT3QKTK5L7HNWK4CQQ26WLATP \
  | 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: 0ba7b82a6aeafe76d95c1421af59609bd5c0aacc04026c7aa16d85764d807506

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fd3bca41e0e94f7390ca4383f271531ba34741141625af899b2c644905fb5c7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-09-09T19:58:34Z",
    "title_canon_sha256": "1569f83618ae22189cdce271c02081b5b08a976bf5d5d7873848c6fb5b4a062f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2112",
    "kind": "arxiv",
    "version": 2
  }
}