Pith Number

pith:BAGUGWVP

pith:2014:BAGUGWVPKNCX4FXS5BLDUNLLEV

not attested not anchored not stored refs pending

Asymptotic enumeration of sparse connected 3-uniform hypergraphs

Cristiane M. Sato, Nick Wormald

arxiv:1401.7381 v1 · 2014-01-29 · 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{BAGUGWVPKNCX4FXS5BLDUNLLEV}

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	2026-05-18T03:00:48.660094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

080d435aaf53457e16f2e8563a356b257d0092ef9a5fce1459dcef58ff9816bd

Aliases

arxiv: 1401.7381 · arxiv_version: 1401.7381v1 · doi: 10.48550/arxiv.1401.7381 · pith_short_12: BAGUGWVPKNCX · pith_short_16: BAGUGWVPKNCX4FXS · pith_short_8: BAGUGWVP

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/BAGUGWVPKNCX4FXS5BLDUNLLEV \
  | 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: 080d435aaf53457e16f2e8563a356b257d0092ef9a5fce1459dcef58ff9816bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "936e9e28b1608acbca569c4d76186b7c2147d7db2b559110d287d7d6748359e3",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-29T01:23:49Z",
    "title_canon_sha256": "8996e9d4b0ab2e7d673ea826b7c944682998517048dccdeba731033d3c0de188"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7381",
    "kind": "arxiv",
    "version": 1
  }
}