Pith Number

pith:HAM34B7A

pith:2017:HAM34B7ASVZMEBMHGCWOVC5ZY6

not attested not anchored not stored refs pending

Edge-regular graphs with regular cliques

Gary R. W. Greaves, Jack H. Koolen

arxiv:1708.05977 v2 · 2017-08-20 · 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{HAM34B7ASVZMEBMHGCWOVC5ZY6}

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	2026-05-18T00:19:41.961963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3819be07e09572c2058730acea8bb9c799a52a8b90ef779c275a8b1229a7c355

Aliases

arxiv: 1708.05977 · arxiv_version: 1708.05977v2 · doi: 10.48550/arxiv.1708.05977 · pith_short_12: HAM34B7ASVZM · pith_short_16: HAM34B7ASVZMEBMH · pith_short_8: HAM34B7A

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/HAM34B7ASVZMEBMHGCWOVC5ZY6 \
  | 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: 3819be07e09572c2058730acea8bb9c799a52a8b90ef779c275a8b1229a7c355

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd07a8144e7657706cc0df353fbe92523162aa179a2d05ab5617c3fc9a62772f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-20T14:43:27Z",
    "title_canon_sha256": "9cfd5a34012858d8db4dab37a01b63353874b91ddf27ddb9addcbf7a7d9792b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05977",
    "kind": "arxiv",
    "version": 2
  }
}