Pith Number

pith:76TUEIIE

pith:2015:76TUEIIE3SA2BWU7ZYLDKM2J63

not attested not anchored not stored refs pending

Theoretical analysis of cross-validation for estimating the risk of the k-Nearest Neighbor classifier

Alain Celisse (MODAL, LPP), Tristan Mary-Huard (GQE-Le Moulon)

arxiv:1508.04905 v2 · 2015-08-20 · math.ST · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76TUEIIE3SA2BWU7ZYLDKM2J63}

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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.

Receipt and verification

First computed	2026-05-18T00:33:04.423816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffa7422104dc81a0da9fce16353349f6ed56277a3931d7fa798257fc96d27dee

Aliases

arxiv: 1508.04905 · arxiv_version: 1508.04905v2 · doi: 10.48550/arxiv.1508.04905 · pith_short_12: 76TUEIIE3SA2 · pith_short_16: 76TUEIIE3SA2BWU7 · pith_short_8: 76TUEIIE

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/76TUEIIE3SA2BWU7ZYLDKM2J63 \
  | 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: ffa7422104dc81a0da9fce16353349f6ed56277a3931d7fa798257fc96d27dee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "692cc380fd00518c3fa48811f9b6ada5147feb110098db61986e706654542a5a",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-08-20T07:50:32Z",
    "title_canon_sha256": "e6fa2f27bcd7375fca26d034c1cb48a062667a95d426e7ed8b0d0eefd77ad903"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04905",
    "kind": "arxiv",
    "version": 2
  }
}