Pith Number

pith:RAAX5N25

pith:2018:RAAX5N25DB5PZGVDVTTKGZZA7A

not attested not anchored not stored refs pending

Statistical estimation of the Shannon entropy

Alexander Bulinski, Denis Dimitrov

arxiv:1801.02050 v1 · 2018-01-06 · 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{RAAX5N25DB5PZGVDVTTKGZZA7A}

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	2026-05-18T00:26:35.072946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88017eb75d187afc9aa3ace6a36720f8010518a6c47e54b4daa9e75e4b943f56

Aliases

arxiv: 1801.02050 · arxiv_version: 1801.02050v1 · doi: 10.48550/arxiv.1801.02050 · pith_short_12: RAAX5N25DB5P · pith_short_16: RAAX5N25DB5PZGVD · pith_short_8: RAAX5N25

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/RAAX5N25DB5PZGVDVTTKGZZA7A \
  | 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: 88017eb75d187afc9aa3ace6a36720f8010518a6c47e54b4daa9e75e4b943f56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81298e8de43ed1419c8d6663806456510ecc5a3660a174513a1d5bb48d1f6344",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-01-06T16:57:54Z",
    "title_canon_sha256": "5a15acbf1b4586b67244fb8641fd40c9be06fd77bfbb8a9945cbce5df610b1b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02050",
    "kind": "arxiv",
    "version": 1
  }
}