Pith Number

pith:KEYH3MVG

pith:2016:KEYH3MVGZ5WU3RNARBD6XTCSBM

not attested not anchored not stored refs pending

Simultaneous Clustering and Estimation of Heterogeneous Graphical Models

Botao Hao, Guang Cheng, Will Wei Sun, Yufeng Liu

arxiv:1611.09391 v2 · 2016-11-28 · stat.ML · math.ST · 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{KEYH3MVGZ5WU3RNARBD6XTCSBM}

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	2026-05-18T00:26:08.506982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51307db2a6cf6d4dc5a08847ebcc520b33810d23f0bad64660c109eab0cf6ece

Aliases

arxiv: 1611.09391 · arxiv_version: 1611.09391v2 · doi: 10.48550/arxiv.1611.09391 · pith_short_12: KEYH3MVGZ5WU · pith_short_16: KEYH3MVGZ5WU3RNA · pith_short_8: KEYH3MVG

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/KEYH3MVGZ5WU3RNARBD6XTCSBM \
  | 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: 51307db2a6cf6d4dc5a08847ebcc520b33810d23f0bad64660c109eab0cf6ece

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f14e52259e2daf2ae26f3f0dcc3b13d798453f842c1e7fa75f273245b7e50076",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2016-11-28T21:28:13Z",
    "title_canon_sha256": "3e49cd6dc20ef55d5e775d8eb746379c3f37604f241bc8ec9ebe44b63a60cdcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09391",
    "kind": "arxiv",
    "version": 2
  }
}