Pith Number

pith:5C3JEDPR

pith:2009:5C3JEDPRWOZUOH3U23O4T7VT36

not attested not anchored not stored refs pending

The maximum number of cliques in a graph embedded in a surface

David R. Wood, Ga\v{s}per Fijav\v{z}, Gwena\"el Joret, Thom Sulanke, Vida Dujmovi\'c

arxiv:0906.4142 v3 · 2009-06-22 · 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{5C3JEDPRWOZUOH3U23O4T7VT36}

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	2026-05-18T04:03:43.897159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8b6920df1b3b3471f74d6ddc9feb3df8b68e518d4bb6daecd29c5f7e9848625

Aliases

arxiv: 0906.4142 · arxiv_version: 0906.4142v3 · doi: 10.48550/arxiv.0906.4142 · pith_short_12: 5C3JEDPRWOZU · pith_short_16: 5C3JEDPRWOZUOH3U · pith_short_8: 5C3JEDPR

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/5C3JEDPRWOZUOH3U23O4T7VT36 \
  | 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: e8b6920df1b3b3471f74d6ddc9feb3df8b68e518d4bb6daecd29c5f7e9848625

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7d0c18837a73e6924a6c403b80901249a3433f1e4870106c2e270e83ff43814",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-06-22T23:01:30Z",
    "title_canon_sha256": "cf72326965341d214aadcae3b0cf3c8466fc59ba0e96d9318b1ffb503c1a5c3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4142",
    "kind": "arxiv",
    "version": 3
  }
}