Pith Number

pith:2PCJV764

pith:2014:2PCJV764BZ5VN73S3DXMMFBTFG

not attested not anchored not stored refs pending

Counting connected hypergraphs via the probabilistic method

B\'ela Bollob\'as, Oliver Riordan

arxiv:1404.5887 v2 · 2014-04-23 · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PCJV764BZ5VN73S3DXMMFBTFG}

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	2026-05-18T01:22:58.524237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3c49affdc0e7b56ff72d8eec6143329b3d0d1dcf9bb302e15aa60f5c94703e7

Aliases

arxiv: 1404.5887 · arxiv_version: 1404.5887v2 · doi: 10.48550/arxiv.1404.5887 · pith_short_12: 2PCJV764BZ5V · pith_short_16: 2PCJV764BZ5VN73S · pith_short_8: 2PCJV764

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/2PCJV764BZ5VN73S3DXMMFBTFG \
  | 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: d3c49affdc0e7b56ff72d8eec6143329b3d0d1dcf9bb302e15aa60f5c94703e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f6534afb192db5358ecf6fbbc8f852a3f4f75ad3fb76514cb5a30ca6bf2a22a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-23T16:52:07Z",
    "title_canon_sha256": "a9b94d0de9922633b031cc5a7adb74404c9045915c02183de40d967bbd3237b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5887",
    "kind": "arxiv",
    "version": 2
  }
}