Pith Number

pith:6UABP6AO

pith:2015:6UABP6AOG5Z6LYACKMNT7FPNDK

not attested not anchored not stored refs pending

Limit Theorems for Empirical R\'enyi Entropy and Divergence with Applications to Molecular Diversity Analysis

Grzegorz A. Rempa{\l}a, Jacek Weso{\l}owski, Maciej Pietrzak, Micha{\l} Seweryn

arxiv:1505.03220 v2 · 2015-05-13 · stat.ME · q-bio.GN

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6UABP6AOG5Z6LYACKMNT7FPNDK}

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	2026-05-18T01:24:03.741545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f50017f80e3773e5e002531b3f95ed1aa6c671670b7294b0da01f4c8ba430e4a

Aliases

arxiv: 1505.03220 · arxiv_version: 1505.03220v2 · doi: 10.48550/arxiv.1505.03220 · pith_short_12: 6UABP6AOG5Z6 · pith_short_16: 6UABP6AOG5Z6LYAC · pith_short_8: 6UABP6AO

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/6UABP6AOG5Z6LYACKMNT7FPNDK \
  | 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: f50017f80e3773e5e002531b3f95ed1aa6c671670b7294b0da01f4c8ba430e4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dd028ef9381bf89f692f53d7b227c5740d5ff46183d2a212a7ce00450f87c57",
    "cross_cats_sorted": [
      "q-bio.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2015-05-13T02:34:30Z",
    "title_canon_sha256": "e32799d46d26fd6a370a5937f79ae599ff0bc5964067482a52658530d445ba11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03220",
    "kind": "arxiv",
    "version": 2
  }
}