Pith Number

pith:37MZ323Y

pith:2016:37MZ323Y52KBOXPCBWKTUXWCFY

not attested not anchored not stored refs pending

Local Maxima in the Likelihood of Gaussian Mixture Models: Structural Results and Algorithmic Consequences

Chi Jin, Martin J. Wainwright, Michael Jordan, Sivaraman Balakrishnan, Yuchen Zhang

arxiv:1609.00978 v1 · 2016-09-04 · stat.ML · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{37MZ323Y52KBOXPCBWKTUXWCFY}

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	2026-05-18T01:06:19.424387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfd99deb78ee94175de20d953a5ec22e3b252cf56d6b763aa14381c083efdd27

Aliases

arxiv: 1609.00978 · arxiv_version: 1609.00978v1 · doi: 10.48550/arxiv.1609.00978 · pith_short_12: 37MZ323Y52KB · pith_short_16: 37MZ323Y52KBOXPC · pith_short_8: 37MZ323Y

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/37MZ323Y52KBOXPCBWKTUXWCFY \
  | 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: dfd99deb78ee94175de20d953a5ec22e3b252cf56d6b763aa14381c083efdd27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "716e2900aac7226df7403eef4ff8ccaea52e75f4100b722c5e2cb4244fba8dcf",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2016-09-04T19:34:56Z",
    "title_canon_sha256": "d1641a158df90b43abc70266a6d02edc9e843c8f80d69cbdec0e6ee81b5ce68b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00978",
    "kind": "arxiv",
    "version": 1
  }
}