Pith Number

pith:D7HRTZK3

pith:2020:D7HRTZK3GL74UGRMEMD3QYSFB4

not attested not anchored not stored refs pending

Strong Uniform Consistency with Rates for Kernel Density Estimators with General Kernels on Manifolds

Hau-Tieng Wu, Nan Wu

arxiv:2007.06408 v2 · 2020-07-13 · math.ST · math.PR · stat.ML · 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{D7HRTZK3GL74UGRMEMD3QYSFB4}

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	2026-07-05T02:46:59.792376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fcf19e55b32ffca1a2c2307b862450f3b6578f1848328ef22369ef0255180cb

Aliases

arxiv: 2007.06408 · arxiv_version: 2007.06408v2 · doi: 10.48550/arxiv.2007.06408 · pith_short_12: D7HRTZK3GL74 · pith_short_16: D7HRTZK3GL74UGRM · pith_short_8: D7HRTZK3

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/D7HRTZK3GL74UGRMEMD3QYSFB4 \
  | 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: 1fcf19e55b32ffca1a2c2307b862450f3b6578f1848328ef22369ef0255180cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "370f0b55bcc2a8d0de1f9622e95208309934fc2635f16789284bac1241c09ddf",
    "cross_cats_sorted": [
      "math.PR",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2020-07-13T14:36:06Z",
    "title_canon_sha256": "79899ce7400649359cf8a475a2ccb8235aa8df9c59e0b8cf3fc19adc52d9b8b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.06408",
    "kind": "arxiv",
    "version": 2
  }
}