Pith Number

pith:MP7WPAPH

pith:2025:MP7WPAPHPSAHYQCGBMKRRUT5FQ

not attested not anchored not stored refs pending

To BEE or not to BEE: Estimating more than Entropy with Biased Entropy Estimators

David A. Kelly, David Clark, Hector D. Menendez, Ilaria Pia la Torre

arxiv:2501.11395 v1 · 2025-01-20 · cs.IT · cs.SE · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MP7WPAPHPSAHYQCGBMKRRUT5FQ}

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.

Cited by

1 paper in Pith

SENECA: Small-Sample Discrete Entropy Estimation via Self-Consistent Missing Mass

Receipt and verification

First computed	2026-07-05T10:03:08.052331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63ff6781e77c807c40460b1518d27d2c17abbde1180f9ad0008749634ca3a243

Aliases

arxiv: 2501.11395 · arxiv_version: 2501.11395v1 · doi: 10.48550/arxiv.2501.11395 · pith_short_12: MP7WPAPHPSAH · pith_short_16: MP7WPAPHPSAHYQCG · pith_short_8: MP7WPAPH

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/MP7WPAPHPSAHYQCGBMKRRUT5FQ \
  | 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: 63ff6781e77c807c40460b1518d27d2c17abbde1180f9ad0008749634ca3a243

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "362b8a4f3f4fd2d4e065b4eb4718c668f338821a9c8c374a2dd286cb26183b82",
    "cross_cats_sorted": [
      "cs.SE",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-01-20T10:48:08Z",
    "title_canon_sha256": "53ba0c5ab4682500a382299f7a2ecc604e70642b0412b76be2e675003a961a80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.11395",
    "kind": "arxiv",
    "version": 1
  }
}