Pith Number

pith:WD5QA2WI

pith:2018:WD5QA2WIPB26XAJ5NENO6IFLES

not attested not anchored not stored refs pending

The smoothness test for a density function

Barbara Wolnik, Bogdan \'Cmiel, Karol Dziedziul

arxiv:1809.02691 v1 · 2018-09-07 · 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{WD5QA2WIPB26XAJ5NENO6IFLES}

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	2026-05-18T00:06:15.597754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0fb006ac87875eb813d691aef20ab24aaeb1fcd6085699255285d5a59c9dd4c

Aliases

arxiv: 1809.02691 · arxiv_version: 1809.02691v1 · doi: 10.48550/arxiv.1809.02691 · pith_short_12: WD5QA2WIPB26 · pith_short_16: WD5QA2WIPB26XAJ5 · pith_short_8: WD5QA2WI

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/WD5QA2WIPB26XAJ5NENO6IFLES \
  | 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: b0fb006ac87875eb813d691aef20ab24aaeb1fcd6085699255285d5a59c9dd4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d6753d77e774816c673b06731c76f73ff074a61b75fd589855b0f5718fdfc26",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-09-07T21:51:25Z",
    "title_canon_sha256": "a7acacb544582dbcab29d327385d17ba4b2a6d64fb408c2f12ee0c752dc7c27d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02691",
    "kind": "arxiv",
    "version": 1
  }
}