Pith Number

pith:A675GNPY

pith:2014:A675GNPYEKI7P3CFEAQMZHTSSL

not attested not anchored not stored refs pending

Integral approximation by kernel smoothing

Bernard Delyon, Fran\c{c}ois Portier

arxiv:1409.0733 v2 · 2014-09-02 · 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{A675GNPYEKI7P3CFEAQMZHTSSL}

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	2026-05-18T01:12:58.748621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07bfd335f82291f7ec452020cc9e7292c69f2b8a414a229fba1303ffebd83250

Aliases

arxiv: 1409.0733 · arxiv_version: 1409.0733v2 · doi: 10.48550/arxiv.1409.0733 · pith_short_12: A675GNPYEKI7 · pith_short_16: A675GNPYEKI7P3CF · pith_short_8: A675GNPY

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/A675GNPYEKI7P3CFEAQMZHTSSL \
  | 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: 07bfd335f82291f7ec452020cc9e7292c69f2b8a414a229fba1303ffebd83250

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4d95e0f2df962ab7a8e19bbab81f4a136c2e259dd128af110b1d7205ea7ad81",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-09-02T14:47:03Z",
    "title_canon_sha256": "d86d7bb40c128756403d7384ded7a5e7c792d3eb78b508c71cb5ff6fe05bc1bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0733",
    "kind": "arxiv",
    "version": 2
  }
}