Pith Number

pith:22QYMZMT

pith:2026:22QYMZMTU7N7MKA5T2HDUAQW4F

not attested not anchored not stored refs pending

Tight Sample Bounds for Renyi and Min-Entropy Estimation

Arman Adibi, Piotr Krysta

arxiv:2607.16966 v1 · 2026-07-18 · cs.IT · cs.CC · cs.LG · math.IT · 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{22QYMZMTU7N7MKA5T2HDUAQW4F}

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	2026-07-21T01:21:08.519511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6a1866593a7dbf6281d9e8e3a0216e15d6d0890c4f37a761b05b7198950a091

Aliases

arxiv: 2607.16966 · arxiv_version: 2607.16966v1 · doi: 10.48550/arxiv.2607.16966 · pith_short_12: 22QYMZMTU7N7 · pith_short_16: 22QYMZMTU7N7MKA5 · pith_short_8: 22QYMZMT

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/22QYMZMTU7N7MKA5T2HDUAQW4F \
  | 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: d6a1866593a7dbf6281d9e8e3a0216e15d6d0890c4f37a761b05b7198950a091

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f03bacc4d9402ea029bcba57a8b91c3fca05cf9429b9839a682ae927d1696dce",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.LG",
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-07-18T21:01:38Z",
    "title_canon_sha256": "04eede1a10f5feb6f6aea3741bdf21de34c1aa79186a6f1cd30d69b6fd504104"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16966",
    "kind": "arxiv",
    "version": 1
  }
}