Pith Number

pith:4B5FPGTX

pith:2010:4B5FPGTX7XG4FLUCPIPKZCLX2J

not attested not anchored not stored refs pending

Bandwidth selection in kernel density estimation: Oracle inequalities and adaptive minimax optimality

Alexander Goldenshluger, Oleg Lepski

arxiv:1009.1016 v2 · 2010-09-06 · 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{4B5FPGTX7XG4FLUCPIPKZCLX2J}

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	2026-05-18T03:40:14.654489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e07a579a77fdcdc2ae827a1eac8977d261129011fb8a5eeb71bec85f0ab945a2

Aliases

arxiv: 1009.1016 · arxiv_version: 1009.1016v2 · doi: 10.48550/arxiv.1009.1016 · pith_short_12: 4B5FPGTX7XG4 · pith_short_16: 4B5FPGTX7XG4FLUC · pith_short_8: 4B5FPGTX

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/4B5FPGTX7XG4FLUCPIPKZCLX2J \
  | 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: e07a579a77fdcdc2ae827a1eac8977d261129011fb8a5eeb71bec85f0ab945a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5cdb2f24a4c469cc57cd145e0cfa6d44ebcfa96ff824c701be0a610791e3839",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-09-06T10:42:50Z",
    "title_canon_sha256": "06106470405a9ba8d195a868dc3aa03d96d1a1ff7a948c0b86f9f3fd08c197e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1016",
    "kind": "arxiv",
    "version": 2
  }
}