Pith Number

pith:CKGBEMMS

pith:2018:CKGBEMMSJP7323IDEVTKEWFYWB

not attested not anchored not stored refs pending

Convergence of the Expectation-Maximization Algorithm Through Discrete-Time Lyapunov Stability Theory

Orlando Romero, Sarthak Chatterjee, S\'ergio Pequito

arxiv:1810.02022 v1 · 2018-10-04 · math.OC · cs.LG · cs.SY · math.DS · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKGBEMMSJP7323IDEVTKEWFYWB}

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	2026-05-18T00:04:06.540171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

128c1231924bffbd6d032566a258b8b06569324cf7aa8f7d55cb670f53c7c496

Aliases

arxiv: 1810.02022 · arxiv_version: 1810.02022v1 · doi: 10.48550/arxiv.1810.02022 · pith_short_12: CKGBEMMSJP73 · pith_short_16: CKGBEMMSJP7323ID · pith_short_8: CKGBEMMS

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/CKGBEMMSJP7323IDEVTKEWFYWB \
  | 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: 128c1231924bffbd6d032566a258b8b06569324cf7aa8f7d55cb670f53c7c496

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a74a9f92ee61a653a95eb9098a4f34194c6b4b454fd1876274a5b0618078600",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.SY",
      "math.DS",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-10-04T01:53:11Z",
    "title_canon_sha256": "30881e1c88a6e3204f3a51031cfca9a07a4090fde172ae3737d57aafca175bbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.02022",
    "kind": "arxiv",
    "version": 1
  }
}