Pith Number

pith:TVPOPK3U

pith:2016:TVPOPK3UB6Y32EA57HAOGIO6WX

not attested not anchored not stored refs pending

Model-based clustering based on sparse finite Gaussian mixtures

Bettina Gr\"un, Gertraud Malsiner-Walli, Sylvia Fr\"uhwirth-Schnatter

arxiv:1606.06828 v1 · 2016-06-22 · 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{TVPOPK3UB6Y32EA57HAOGIO6WX}

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	2026-05-18T01:12:01.027276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d5ee7ab740fb1bd101df9c0e321deb5dbbd00543da8967f77dd6d7b3143d818

Aliases

arxiv: 1606.06828 · arxiv_version: 1606.06828v1 · doi: 10.48550/arxiv.1606.06828 · pith_short_12: TVPOPK3UB6Y3 · pith_short_16: TVPOPK3UB6Y32EA5 · pith_short_8: TVPOPK3U

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/TVPOPK3UB6Y32EA57HAOGIO6WX \
  | 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: 9d5ee7ab740fb1bd101df9c0e321deb5dbbd00543da8967f77dd6d7b3143d818

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d9cd3688d8f3624c96656f140f86d641d33cdbc85597d4e53e8d59624758763",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2016-06-22T06:59:15Z",
    "title_canon_sha256": "5a882833531f7f9840e607d164f2afebce018dbd35498a9d99c8e92f7602a856"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06828",
    "kind": "arxiv",
    "version": 1
  }
}