Pith Number

pith:OBVG7UMY

pith:2009:OBVG7UMYRF7K6MWYGJDMCZVQYN

not attested not anchored not stored refs pending

Hitting all maximum cliques with a stable set using lopsided independent transversals

Andrew D. King

arxiv:0911.1741 v4 · 2009-11-09 · 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{OBVG7UMYRF7K6MWYGJDMCZVQYN}

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	2026-05-18T04:29:35.104492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

706a6fd198897eaf32d83246c166b0c3423181ac20d21a9d2eebe7312de9b0aa

Aliases

arxiv: 0911.1741 · arxiv_version: 0911.1741v4 · doi: 10.48550/arxiv.0911.1741 · pith_short_12: OBVG7UMYRF7K · pith_short_16: OBVG7UMYRF7K6MWY · pith_short_8: OBVG7UMY

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/OBVG7UMYRF7K6MWYGJDMCZVQYN \
  | 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: 706a6fd198897eaf32d83246c166b0c3423181ac20d21a9d2eebe7312de9b0aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5af10933f0b683a8802598670116d78bc872175a539987c5bcbf9e3bbcad1c88",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2009-11-09T17:55:06Z",
    "title_canon_sha256": "3a707716e62f60512d7649824aa6032a2ffd59df0a54a227a52ff9cf8be87345"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1741",
    "kind": "arxiv",
    "version": 4
  }
}