Pith Number

pith:6MYMBC7C

pith:2015:6MYMBC7CCDFVZ2PKZE2BLJSBJO

not attested not anchored not stored refs pending

Regularized EM Algorithms: A Unified Framework and Statistical Guarantees

Constantine Caramanis, Xinyang Yi

arxiv:1511.08551 v2 · 2015-11-27 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6MYMBC7CCDFVZ2PKZE2BLJSBJO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:25:10.996640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f330c08be210cb5ce9eac93415a6414b919b68552439336c96bfd1cf5211feab

Aliases

arxiv: 1511.08551 · arxiv_version: 1511.08551v2 · doi: 10.48550/arxiv.1511.08551 · pith_short_12: 6MYMBC7CCDFV · pith_short_16: 6MYMBC7CCDFVZ2PK · pith_short_8: 6MYMBC7C

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/6MYMBC7CCDFVZ2PKZE2BLJSBJO \
  | 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: f330c08be210cb5ce9eac93415a6414b919b68552439336c96bfd1cf5211feab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9bc811c393b0cfefea060e089f1eb9818d1ac16aa2a8434c1f5f43d15471e7b",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2015-11-27T03:46:36Z",
    "title_canon_sha256": "4def2c0603b79dada71e3e59412b27d590f3f46676ef9edf1f30fda4d95ebe12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08551",
    "kind": "arxiv",
    "version": 2
  }
}