Pith Number

pith:KWPEYDY4

pith:2017:KWPEYDY4VP6KA3FVB5GIYMPWJO

not attested not anchored not stored refs pending

Optimal Kullback-Leibler Aggregation in Mixture Density Estimation by Maximum Likelihood

Arnak S. Dalalyan, Mehdi Sebbar

arxiv:1701.05009 v1 · 2017-01-18 · math.ST · 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{KWPEYDY4VP6KA3FVB5GIYMPWJO}

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	2026-05-18T00:52:33.314304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

559e4c0f1cabfca06cb50f4c8c31f64b90f137b32fb47d537ed10db5b50cf433

Aliases

arxiv: 1701.05009 · arxiv_version: 1701.05009v1 · doi: 10.48550/arxiv.1701.05009 · pith_short_12: KWPEYDY4VP6K · pith_short_16: KWPEYDY4VP6KA3FV · pith_short_8: KWPEYDY4

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/KWPEYDY4VP6KA3FVB5GIYMPWJO \
  | 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: 559e4c0f1cabfca06cb50f4c8c31f64b90f137b32fb47d537ed10db5b50cf433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98106d0c35c38a02a393573d49225aa6586b2fd4cd423b67adcb2a9b23888414",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-01-18T11:07:42Z",
    "title_canon_sha256": "6111e0731b84e39ae12e065af87f32d321f28f28475007ccd3522525c970fc51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05009",
    "kind": "arxiv",
    "version": 1
  }
}