Pith Number

pith:JH4S56PW

pith:2016:JH4S56PWBKZNGZI5LE54N3NJVZ

not attested not anchored not stored refs pending

Efficient multivariate entropy estimation via $k$-nearest neighbour distances

Ming Yuan, Richard J. Samworth, Thomas B. Berrett

arxiv:1606.00304 v3 · 2016-06-01 · math.ST · stat.ME · 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{JH4S56PWBKZNGZI5LE54N3NJVZ}

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	2026-05-18T00:41:53.621475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49f92ef9f60ab2d3651d593bc6eda9ae6980483f19d95c5684940c2b3a913fef

Aliases

arxiv: 1606.00304 · arxiv_version: 1606.00304v3 · doi: 10.48550/arxiv.1606.00304 · pith_short_12: JH4S56PWBKZN · pith_short_16: JH4S56PWBKZNGZI5 · pith_short_8: JH4S56PW

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/JH4S56PWBKZNGZI5LE54N3NJVZ \
  | 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: 49f92ef9f60ab2d3651d593bc6eda9ae6980483f19d95c5684940c2b3a913fef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5e06407f44f2b558c7a7ee00676c53b44b692e0d15eabbc6b2d3b3a16f5ad11",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-06-01T14:32:47Z",
    "title_canon_sha256": "a75dcfb3d5b8136e07ffaedec45d3d8dd279e589585293ff74e9e0508224a736"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00304",
    "kind": "arxiv",
    "version": 3
  }
}