Pith Number

pith:W2VYWGLG

pith:2013:W2VYWGLGWLLNZFJIRHBVEAWIMA

not attested not anchored not stored refs pending

Maxima of the Q-index: forbidden 4-cycle and 5-cycle

Laura Patuzzi, Maria Aguieiras A. de Freitas, Vladimir Nikiforov

arxiv:1308.1652 v1 · 2013-08-07 · 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{W2VYWGLGWLLNZFJIRHBVEAWIMA}

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	2026-05-18T03:16:30.593849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6ab8b1966b2d6dc952889c35202c8601c59dca680a0a429ff70749a5beab086

Aliases

arxiv: 1308.1652 · arxiv_version: 1308.1652v1 · doi: 10.48550/arxiv.1308.1652 · pith_short_12: W2VYWGLGWLLN · pith_short_16: W2VYWGLGWLLNZFJI · pith_short_8: W2VYWGLG

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/W2VYWGLGWLLNZFJIRHBVEAWIMA \
  | 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: b6ab8b1966b2d6dc952889c35202c8601c59dca680a0a429ff70749a5beab086

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4a86c69c700ff9eefd2301bb1c5ba0da7a0e23c099943546dffc9ac9968b4e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-07T18:33:06Z",
    "title_canon_sha256": "60a96e89d8fa8de106b67a0f3b2ebc4d2b8bf32865e61a9a2445710e84c60f4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1652",
    "kind": "arxiv",
    "version": 1
  }
}