Pith Number

pith:AYA4DHVQ

pith:2010:AYA4DHVQYS2OPIMIVG55F7Q2ZZ

not attested not anchored not stored refs pending

Asymptotic normality of the Parzen-Rosenblatt density estimator for strongly mixing random fields

Mohamed El Machkouri

arxiv:1008.1342 v1 · 2010-08-07 · math.ST · math.PR · 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{AYA4DHVQYS2OPIMIVG55F7Q2ZZ}

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	2026-05-18T04:42:33.175240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0601c19eb0c4b4e7a188a9bbd2fe1ace58ec5f36d447230ef198d57a8ebf4bf9

Aliases

arxiv: 1008.1342 · arxiv_version: 1008.1342v1 · doi: 10.48550/arxiv.1008.1342 · pith_short_12: AYA4DHVQYS2O · pith_short_16: AYA4DHVQYS2OPIMI · pith_short_8: AYA4DHVQ

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/AYA4DHVQYS2OPIMIVG55F7Q2ZZ \
  | 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: 0601c19eb0c4b4e7a188a9bbd2fe1ace58ec5f36d447230ef198d57a8ebf4bf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d12c1f65b5969d4b039b0f06558f9564197c6c8921b6c038535b760fb176df53",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-08-07T13:25:33Z",
    "title_canon_sha256": "a97ddaba99c61bc7c876ad92b10bdd840d956fc451d87066440359ea31f696d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1342",
    "kind": "arxiv",
    "version": 1
  }
}