Pith Number

pith:FTNTWCA6

pith:2020:FTNTWCA6GNF2JM5PRNUCDCTBR5

not attested not anchored not stored refs pending

Self-regularizing Property of Nonparametric Maximum Likelihood Estimator in Mixture Models

Yihong Wu, Yury Polyanskiy

arxiv:2008.08244 v2 · 2020-08-19 · math.ST · stat.ML · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FTNTWCA6GNF2JM5PRNUCDCTBR5}

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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.

Cited by

7 papers in Pith

Density estimation for Hellinger via minimum-distance estimators: mixtures of Gaussians, log-concave, and more

Nonparametric Riemannian Empirical Bayes, and Denoising Measurements on Manifolds

An Old Look at Empirical Bayes

Nonparametric Empirical Bayes Confidence Intervals

When Can Voting Help, Hurt, or Change Course? Exact Structure of Binary Test-Time Aggregation

Receipt and verification

First computed	2026-07-05T01:33:22.442732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cdb3b081e334ba4b3af8b68218a618f6551e0aa9439199527bc71b11d4d97b8

Aliases

arxiv: 2008.08244 · arxiv_version: 2008.08244v2 · doi: 10.48550/arxiv.2008.08244 · pith_short_12: FTNTWCA6GNF2 · pith_short_16: FTNTWCA6GNF2JM5P · pith_short_8: FTNTWCA6

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/FTNTWCA6GNF2JM5PRNUCDCTBR5 \
  | 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: 2cdb3b081e334ba4b3af8b68218a618f6551e0aa9439199527bc71b11d4d97b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2104fe340d6925145897be2edd14af72fc910d65309265dc46743e64cc0330f5",
    "cross_cats_sorted": [
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2020-08-19T03:39:13Z",
    "title_canon_sha256": "487adbcc2fe1f23e62adb3eab7a553aa3898d7289ad1114b47655a9d35fb8440"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.08244",
    "kind": "arxiv",
    "version": 2
  }
}