Pith Number

pith:4WFZFD2F

pith:2012:4WFZFD2FIKXZIDOYUL3ZN4ROVV

not attested not anchored not stored refs pending

Choice of V for V-Fold Cross-Validation in Least-Squares Density Estimation

DI-ENS), Matthieu Lerasle (JAD), Sylvain Arlot (SIERRA

arxiv:1210.5830 v3 · 2012-10-22 · math.ST · cs.LG · 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{4WFZFD2FIKXZIDOYUL3ZN4ROVV}

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	2026-05-18T01:30:41.345162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e58b928f4542af940dd8a2f796f22ead5f9c4b32f1d55e2efbe2fe50e0a23c47

Aliases

arxiv: 1210.5830 · arxiv_version: 1210.5830v3 · doi: 10.48550/arxiv.1210.5830 · pith_short_12: 4WFZFD2FIKXZ · pith_short_16: 4WFZFD2FIKXZIDOY · pith_short_8: 4WFZFD2F

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/4WFZFD2FIKXZIDOYUL3ZN4ROVV \
  | 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: e58b928f4542af940dd8a2f796f22ead5f9c4b32f1d55e2efbe2fe50e0a23c47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54e9a02147bee841ca4fc272bbe5fe7b754db1ee27b945850eb76f6632228aa1",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-10-22T08:22:57Z",
    "title_canon_sha256": "d5a9ade4c797fd1c1072362e72a1fd10ca50198e5d55bfd861cb5bcbef0812b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5830",
    "kind": "arxiv",
    "version": 3
  }
}