Pith Number

pith:TC2IANV2

pith:2016:TC2IANV2BXZRYYY5RYOI3WYET7

not attested not anchored not stored refs pending

Smooth Kernel Estimation of a Circular Density Function: A Connection to Orthogonal Polynomials on the Unit Circle

Yogendra P. Chaubey

arxiv:1601.05053 v1 · 2016-01-19 · 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{TC2IANV2BXZRYYY5RYOI3WYET7}

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	2026-05-18T01:22:31.329287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98b48036ba0df31c631d8e1c8ddb049fde8ab311f65af805ad439b0d03a514eb

Aliases

arxiv: 1601.05053 · arxiv_version: 1601.05053v1 · doi: 10.48550/arxiv.1601.05053 · pith_short_12: TC2IANV2BXZR · pith_short_16: TC2IANV2BXZRYYY5 · pith_short_8: TC2IANV2

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/TC2IANV2BXZRYYY5RYOI3WYET7 \
  | 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: 98b48036ba0df31c631d8e1c8ddb049fde8ab311f65af805ad439b0d03a514eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6394736f5557966f6132cefab55407d44057f15c255db3eb5f327bd8d0ef1a8f",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-01-19T19:53:50Z",
    "title_canon_sha256": "5fc863d9c132d354b5498a44ce78961f8d9d5ae6501030ea3afab8b470664723"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05053",
    "kind": "arxiv",
    "version": 1
  }
}