Pith Number

pith:BDE6ZH6G

pith:2016:BDE6ZH6G5UUPTATEBN6UEGFFQG

not attested not anchored not stored refs pending

On the Kozachenko-Leonenko entropy estimator

Nicolas Fournier, Sylvain Delattre

arxiv:1602.07440 v1 · 2016-02-24 · 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{BDE6ZH6G5UUPTATEBN6UEGFFQG}

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	2026-05-18T01:20:03.036400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08c9ec9fc6ed28f982640b7d4218a5818349389c26cd26be88be17f196cf4418

Aliases

arxiv: 1602.07440 · arxiv_version: 1602.07440v1 · doi: 10.48550/arxiv.1602.07440 · pith_short_12: BDE6ZH6G5UUP · pith_short_16: BDE6ZH6G5UUPTATE · pith_short_8: BDE6ZH6G

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/BDE6ZH6G5UUPTATEBN6UEGFFQG \
  | 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: 08c9ec9fc6ed28f982640b7d4218a5818349389c26cd26be88be17f196cf4418

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d3e8a5a7ab066e59dab6de6023d4d73882bcc922b5c91997a6a9942a6364ad2",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-02-24T09:06:00Z",
    "title_canon_sha256": "b27ca5e080ee54bda9b72bff3f27cda5d3c2dbb7ed0915bee607eb297837fb37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07440",
    "kind": "arxiv",
    "version": 1
  }
}