Pith Number

pith:TACGSD4G

pith:2007:TACGSD4GIM4F2BBVU77UYOWT73

not attested not anchored not stored refs pending

Strong consistency of the maximum likelihood estimator for finite mixtures of location-scale distributions when penalty is imposed on the ratios of the scale parameters

Kentaro Tanaka

arxiv:0710.2183 v3 · 2007-10-11 · math.ST · math.PR · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TACGSD4GIM4F2BBVU77UYOWT73}

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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	2026-05-18T04:27:34.528643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9804690f8643385d0435a7ff4c3ad3fed03580ddc988fae089c32e8f85ee5f8b

Aliases

arxiv: 0710.2183 · arxiv_version: 0710.2183v3 · doi: 10.48550/arxiv.0710.2183 · pith_short_12: TACGSD4GIM4F · pith_short_16: TACGSD4GIM4F2BBV · pith_short_8: TACGSD4G

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/TACGSD4GIM4F2BBVU77UYOWT73 \
  | 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: 9804690f8643385d0435a7ff4c3ad3fed03580ddc988fae089c32e8f85ee5f8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c52069ac93787cae47d4303902f0705969c0a6aa140632e24f674cadffe0fdbe",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.ST",
    "submitted_at": "2007-10-11T08:54:55Z",
    "title_canon_sha256": "df3837d5afe0bf7edcfee149e5c91c0f7ca62c12bc531384c608d868d6e6c469"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.2183",
    "kind": "arxiv",
    "version": 3
  }
}