Pith Number

pith:D7LPYG6Q

pith:2026:D7LPYG6Q2AB23EMBJBJEPW7QEJ

not attested not anchored not stored refs pending

Kernel Density Estimation under $C^{1,1}$ Regularity: AMISE, Weak Curvature, and Plug-in Bandwidths

Alireza Kabgani, Elaheh Lotfian

arxiv:2605.20550 v1 · 2026-05-19 · 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{D7LPYG6Q2AB23EMBJBJEPW7QEJ}

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	2026-05-21T01:04:42.139541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fd6fc1bd0d003ad9181485247dbf0225ed9c6b6e60eecb4d4925451e8c9896f

Aliases

arxiv: 2605.20550 · arxiv_version: 2605.20550v1 · doi: 10.48550/arxiv.2605.20550 · pith_short_12: D7LPYG6Q2AB2 · pith_short_16: D7LPYG6Q2AB23EMB · pith_short_8: D7LPYG6Q

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/D7LPYG6Q2AB23EMBJBJEPW7QEJ \
  | 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: 1fd6fc1bd0d003ad9181485247dbf0225ed9c6b6e60eecb4d4925451e8c9896f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9aeab253100b01de4825ef75bc4cc3e27ad588270d63c8769a5cbaceb8f7a3de",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-05-19T23:01:41Z",
    "title_canon_sha256": "3aa1c0a861d4e01b3bafa075823dc09aea5dff9ca0d7ea9e363e1606d00a3263"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20550",
    "kind": "arxiv",
    "version": 1
  }
}