Pith Number

pith:CC2YXJ46

pith:2015:CC2YXJ46CRFDWH275ZVSJDZTVW

not attested not anchored not stored refs pending

Maximum Likelihood Estimates for Gaussian Mixtures Are Transcendental

Bernd Sturmfels, Carlos Am\'endola, Mathias Drton

arxiv:1508.06958 v2 · 2015-08-27 · math.ST · math.OC · 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{CC2YXJ46CRFDWH275ZVSJDZTVW}

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	2026-05-17T23:48:17.732891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10b58ba79e144a3b1f5fee6b248f33adaf29313b8b7cdd231517838a97c97408

Aliases

arxiv: 1508.06958 · arxiv_version: 1508.06958v2 · doi: 10.48550/arxiv.1508.06958 · pith_short_12: CC2YXJ46CRFD · pith_short_16: CC2YXJ46CRFDWH27 · pith_short_8: CC2YXJ46

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/CC2YXJ46CRFDWH275ZVSJDZTVW \
  | 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: 10b58ba79e144a3b1f5fee6b248f33adaf29313b8b7cdd231517838a97c97408

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8963bcf1c2a191314822a855c2e71336c7d307ec550b95af5d5b8dd8a0cc3f34",
    "cross_cats_sorted": [
      "math.OC",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-08-27T18:12:31Z",
    "title_canon_sha256": "24ab1a527f8c9ef09d5af22c3743a8647e2bdc957e7a4fdd93c78187822f678d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06958",
    "kind": "arxiv",
    "version": 2
  }
}