Pith Number

pith:ZUB2YOHY

pith:2018:ZUB2YOHYY5L3E7B7GTBGYPTZW7

not attested not anchored not stored refs pending

Robust Bregman Clustering

Aur\'elie Fischer (LPSM (UMR\_8001)), Claire Br\'echeteau (ECN, Cl\'ement Levrard (DATASHAPE, DATASHAPE), LMJL, LPSM (UMR\_8001))

arxiv:1812.04356 v3 · 2018-12-11 · math.ST · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZUB2YOHYY5L3E7B7GTBGYPTZW7}

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	2026-07-05T01:34:03.815513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd03ac38f8c757b27c3f34c26c3e79b7d0dc125363991b80f03d8d0720ddecfd

Aliases

arxiv: 1812.04356 · arxiv_version: 1812.04356v3 · doi: 10.48550/arxiv.1812.04356 · pith_short_12: ZUB2YOHYY5L3 · pith_short_16: ZUB2YOHYY5L3E7B7 · pith_short_8: ZUB2YOHY

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/ZUB2YOHYY5L3E7B7GTBGYPTZW7 \
  | 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: cd03ac38f8c757b27c3f34c26c3e79b7d0dc125363991b80f03d8d0720ddecfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53b3185cfe134b86dd19d46b31c56c80a9f636b6d16f52b3068dbc7ab8af8835",
    "cross_cats_sorted": [
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-12-11T12:35:36Z",
    "title_canon_sha256": "3f0301542331eb2230c8583e70867514d0ee4ae7bd569fb22fcc2f85e5d2863d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04356",
    "kind": "arxiv",
    "version": 3
  }
}