Pith Number

pith:IN32TYQM

pith:2017:IN32TYQMKODXLAZWNAKVINEHB4

not attested not anchored not stored refs pending

Multilevel Clustering via Wasserstein Means

Dinh Phung, Hung Hai Bui, Mikhail Yurochkin, Nhat Ho, Viet Huynh, XuanLong Nguyen

arxiv:1706.03883 v1 · 2017-06-13 · stat.ML · stat.CO · 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{IN32TYQMKODXLAZWNAKVINEHB4}

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	2026-05-18T00:42:28.103239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4377a9e20c538775833668155434870f378165a822c97a28bb0306332bd6afd4

Aliases

arxiv: 1706.03883 · arxiv_version: 1706.03883v1 · doi: 10.48550/arxiv.1706.03883 · pith_short_12: IN32TYQMKODX · pith_short_16: IN32TYQMKODXLAZW · pith_short_8: IN32TYQM

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/IN32TYQMKODXLAZWNAKVINEHB4 \
  | 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: 4377a9e20c538775833668155434870f378165a822c97a28bb0306332bd6afd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fd2c7cd749920996666bdc9b44605beb292184b5a5a4fb802efd747de9ddefd",
    "cross_cats_sorted": [
      "stat.CO",
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2017-06-13T01:15:04Z",
    "title_canon_sha256": "a1e555887cdb8a09186d7216cc9ff62512b67ac867a3427c6b3dbb22227ca1a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03883",
    "kind": "arxiv",
    "version": 1
  }
}