Pith Number

pith:RFSOL2BR

pith:2017:RFSOL2BRLP2CRRQUR4SPPGCCPU

not attested not anchored not stored refs pending

Inequalities for relative operator entropies and operator means

Nicu\c{s}or Minculete, Shigeru Furuichi

arxiv:1706.03334 v3 · 2017-06-11 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RFSOL2BRLP2CRRQUR4SPPGCCPU}

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	2026-05-18T00:26:18.228572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8964e5e8315bf428c6148f24f798427d08d1fb61605b3beca922ee45866b2b17

Aliases

arxiv: 1706.03334 · arxiv_version: 1706.03334v3 · doi: 10.48550/arxiv.1706.03334 · pith_short_12: RFSOL2BRLP2C · pith_short_16: RFSOL2BRLP2CRRQU · pith_short_8: RFSOL2BR

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/RFSOL2BRLP2CRRQUR4SPPGCCPU \
  | 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: 8964e5e8315bf428c6148f24f798427d08d1fb61605b3beca922ee45866b2b17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f230c6fa4ecbe3ebc1dc0db9f0a2246c6500d32f45151eb481e1f4dd3869af33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-06-11T10:17:37Z",
    "title_canon_sha256": "51917baa7861c57a6703043935fa0c27d848d3c512b235df4e9f826411fa9c58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03334",
    "kind": "arxiv",
    "version": 3
  }
}