Pith Number

pith:LS23Y365

pith:2026:LS23Y365WK6MOPQGQDBCEHG2EA

not attested not anchored not stored refs pending

On the Expectation of the Local-to-Zero Cross-Validated Log Likelihood Criterion for Bandwidth Selection in Kernel Spectral Estimation

Clifford Hurvich, Meng-Chen Hsieh

arxiv:2607.16535 v1 · 2026-07-17 · stat.ME

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LS23Y365WK6MOPQGQDBCEHG2EA}

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	2026-07-21T00:20:23.708991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cb5bc6fddb2bcc73e0680c2221cda203714b4e27755d874d545838c637b5d5d

Aliases

arxiv: 2607.16535 · arxiv_version: 2607.16535v1 · doi: 10.48550/arxiv.2607.16535 · pith_short_12: LS23Y365WK6M · pith_short_16: LS23Y365WK6MOPQG · pith_short_8: LS23Y365

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/LS23Y365WK6MOPQGQDBCEHG2EA \
  | 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: 5cb5bc6fddb2bcc73e0680c2221cda203714b4e27755d874d545838c637b5d5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bef53e8ef0fbf5308916788d51c3ef364f610373c9917463914a48cf7b39006",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-07-17T22:19:32Z",
    "title_canon_sha256": "de52d5c3eed3fac05d1f9a984df83bc14c85223ea33ea96b9b691d8aa100cb3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16535",
    "kind": "arxiv",
    "version": 1
  }
}