Pith Number

pith:QRVSJ35O

pith:2019:QRVSJ35OB7YZFOBUEB3HG3YOMU

not attested not anchored not stored refs pending

Inequalities related to some types of entropies and divergences

Nicu\c{s}or Minculete, Shigeru Furuichi

arxiv:1903.08314 v2 · 2019-03-20 · cs.IT · math.CA · 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{QRVSJ35OB7YZFOBUEB3HG3YOMU}

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	2026-05-17T23:39:54.604602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

846b24efae0ff192b8342076736f0e650a7dc486417f657c7428f53c4254fa87

Aliases

arxiv: 1903.08314 · arxiv_version: 1903.08314v2 · doi: 10.48550/arxiv.1903.08314 · pith_short_12: QRVSJ35OB7YZ · pith_short_16: QRVSJ35OB7YZFOBU · pith_short_8: QRVSJ35O

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/QRVSJ35OB7YZFOBUEB3HG3YOMU \
  | 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: 846b24efae0ff192b8342076736f0e650a7dc486417f657c7428f53c4254fa87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8a09f0c802e75a36c5b276cdc9de67319e30450724b6c503515e2cf850e1205",
    "cross_cats_sorted": [
      "math.CA",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-03-20T02:03:40Z",
    "title_canon_sha256": "bac69c1806a542bdd134a5a449b15b30331b9b3ca372b6f9746a8364b42874b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.08314",
    "kind": "arxiv",
    "version": 2
  }
}