pith. sign in
Pith Number

pith:3PR6UO4A

pith:2017:3PR6UO4AGTGNZSAANUDEQ2PSGD
not attested not anchored not stored refs pending

Estimating the number of clusters using cross-validation

Patrick O. Perry, Wei Fu

arxiv:1702.02658 v1 · 2017-02-09 · stat.ME · stat.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3PR6UO4AGTGNZSAANUDEQ2PSGD}

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 2026-05-18T00:51:03.766750Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

dbe3ea3b8034ccdcc8006d064869f230f66b813d3b91554fa076534d988d6e9a

Aliases

arxiv: 1702.02658 · arxiv_version: 1702.02658v1 · doi: 10.48550/arxiv.1702.02658 · pith_short_12: 3PR6UO4AGTGN · pith_short_16: 3PR6UO4AGTGNZSAA · pith_short_8: 3PR6UO4A
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3PR6UO4AGTGNZSAANUDEQ2PSGD \
  | 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: dbe3ea3b8034ccdcc8006d064869f230f66b813d3b91554fa076534d988d6e9a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "47d8aadbc90ac9e2c812520b71b2074be3f7aa80252f72a87ce4a411fb64ce24",
    "cross_cats_sorted": [
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2017-02-09T00:11:27Z",
    "title_canon_sha256": "e78dfa908eae95cd209cf32e36f19f456a803732ac14e3832b0736115b46428a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02658",
    "kind": "arxiv",
    "version": 1
  }
}