Pith Number

pith:FKH3ZWBW

pith:2017:FKH3ZWBWYMMSXJT7R2JOLMUWLC

not attested not anchored not stored refs pending

Subhypergraphs in non-uniform random hypergraphs

Benjamin Reiniger, John Healy, John Proos, Kirill Ternovsky, Megan Dewar, Pawe{\l} Pra{\l}at, Xavier P\'erez-Gim\'enez

arxiv:1703.07686 v2 · 2017-03-22 · 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{FKH3ZWBWYMMSXJT7R2JOLMUWLC}

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	2026-05-18T00:21:05.021101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a8fbcd836c3192ba67f8e92e5b2965881028ba91b90204268aaac801c34491d

Aliases

arxiv: 1703.07686 · arxiv_version: 1703.07686v2 · doi: 10.48550/arxiv.1703.07686 · pith_short_12: FKH3ZWBWYMMS · pith_short_16: FKH3ZWBWYMMSXJT7 · pith_short_8: FKH3ZWBW

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/FKH3ZWBWYMMSXJT7R2JOLMUWLC \
  | 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: 2a8fbcd836c3192ba67f8e92e5b2965881028ba91b90204268aaac801c34491d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b92bf68ca46393bd03ad964cfb159c4f4b91fa6ac9149b1360e35a0cb00e5f75",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-22T14:47:37Z",
    "title_canon_sha256": "ec7f3f54244b8b9022080d40716072a3f45d2f60b3db617e7d21e3ce97188540"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07686",
    "kind": "arxiv",
    "version": 2
  }
}