Pith Number

pith:2FZULHLK

pith:2016:2FZULHLKKDD6AXVQEH5H5OJLDX

not attested not anchored not stored refs pending

Sharp Bounds Between Two R\'enyi Entropies of Distinct Positive Orders

Ken-ichi Iwata, Yuta Sakai

arxiv:1605.00019 v2 · 2016-04-29 · cs.IT · 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{2FZULHLKKDD6AXVQEH5H5OJLDX}

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	2026-05-18T01:15:33.855998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d173459d6a50c7e05eb021fa7eb92b1df8c429aba460125f33c5e1597155869c

Aliases

arxiv: 1605.00019 · arxiv_version: 1605.00019v2 · doi: 10.48550/arxiv.1605.00019 · pith_short_12: 2FZULHLKKDD6 · pith_short_16: 2FZULHLKKDD6AXVQ · pith_short_8: 2FZULHLK

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/2FZULHLKKDD6AXVQEH5H5OJLDX \
  | 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: d173459d6a50c7e05eb021fa7eb92b1df8c429aba460125f33c5e1597155869c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac94a9c18c038fbcadb33bda6d34c0b2b77a346dd2ebc6c8ecbd150f3e60d26f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-04-29T20:21:25Z",
    "title_canon_sha256": "ad7377cd1e93363699abdf09cfd71486da3470a9d506fcb5f1396648512468b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00019",
    "kind": "arxiv",
    "version": 2
  }
}