Pith Number

pith:IB27MZYA

pith:2018:IB27MZYATGZJIPG7K5FQHVT636

not attested not anchored not stored refs pending

Optimal Bayesian clustering using non-negative matrix factorization

Ketong Wang, Michael D. Porter

arxiv:1809.07850 v1 · 2018-09-20 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IB27MZYATGZJIPG7K5FQHVT636}

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	2026-05-18T00:05:11.132234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4075f6670099b2943cdf574b03d67edfb39df665b908af3c5c21270b02728f20

Aliases

arxiv: 1809.07850 · arxiv_version: 1809.07850v1 · doi: 10.48550/arxiv.1809.07850 · pith_short_12: IB27MZYATGZJ · pith_short_16: IB27MZYATGZJIPG7 · pith_short_8: IB27MZYA

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/IB27MZYATGZJIPG7K5FQHVT636 \
  | 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: 4075f6670099b2943cdf574b03d67edfb39df665b908af3c5c21270b02728f20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b62b4902a8d99e9ca0dbdf7de0878d4b557d9f62d87f6a02aea225425de9f711",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2018-09-20T20:52:21Z",
    "title_canon_sha256": "b83bb0a7fed339c579f6a4fc8da48cb4ed651e620ee876749ef3ee4e6f3669c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07850",
    "kind": "arxiv",
    "version": 1
  }
}