Pith Number

pith:2FQFEURY

pith:2008:2FQFEURYB5TA6YJTEZUDVHAFS4

not attested not anchored not stored refs pending

Optimal cross-validation in density estimation with the $L^2$-loss

Alain Celisse

arxiv:0811.0802 v4 · 2008-11-05 · 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{2FQFEURYB5TA6YJTEZUDVHAFS4}

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	2026-05-18T02:41:19.052977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1605252380f660f613326683a9c0597055bcc8d2f1405e06b93005175a215ba

Aliases

arxiv: 0811.0802 · arxiv_version: 0811.0802v4 · doi: 10.48550/arxiv.0811.0802 · pith_short_12: 2FQFEURYB5TA · pith_short_16: 2FQFEURYB5TA6YJT · pith_short_8: 2FQFEURY

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/2FQFEURYB5TA6YJTEZUDVHAFS4 \
  | 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: d1605252380f660f613326683a9c0597055bcc8d2f1405e06b93005175a215ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f909ef729ad96c51b95c7e6ee902cd8f793f187134e0ee5f27e6c4883bbf8ca7",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2008-11-05T19:34:13Z",
    "title_canon_sha256": "29798f95a19746cea76a132594c2ce888dc742eaeadf4a0a7ab3eaafa57eae3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0802",
    "kind": "arxiv",
    "version": 4
  }
}