Pith Number

pith:ZEUJOYYD

pith:2018:ZEUJOYYDCAE6X4DRXEPAACQHJA

not attested not anchored not stored refs pending

Statistical Estimation of Conditional Shannon Entropy

Alexander Bulinski, Alexey Kozhevin

arxiv:1804.08741 v1 · 2018-04-23 · 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{ZEUJOYYDCAE6X4DRXEPAACQHJA}

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	2026-05-18T00:17:37.511730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9289763031009ebf071b91e000a074820cf11a95cc39078dc3502e53b3fe4d7

Aliases

arxiv: 1804.08741 · arxiv_version: 1804.08741v1 · doi: 10.48550/arxiv.1804.08741 · pith_short_12: ZEUJOYYDCAE6 · pith_short_16: ZEUJOYYDCAE6X4DR · pith_short_8: ZEUJOYYD

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/ZEUJOYYDCAE6X4DRXEPAACQHJA \
  | 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: c9289763031009ebf071b91e000a074820cf11a95cc39078dc3502e53b3fe4d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b5cb3231643e7ca12d0318feb7ec83650bcb9e9d01105cef40bd05392479bae",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-04-23T21:16:15Z",
    "title_canon_sha256": "fc8a19e3d290f02cfa9a45cad4196956d017dbcd82d6d7dfd7c224a15a088327"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08741",
    "kind": "arxiv",
    "version": 1
  }
}