Pith Number

pith:45B47IVS

pith:2014:45B47IVSP75M2KRVLIZ5T73JMM

not attested not anchored not stored refs pending

Some inequalities for quantum Tsallis entropy related to the strong subadditivity

D\'aniel Virosztek, D\'enes Petz

arxiv:1403.7062 v3 · 2014-03-27 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45B47IVSP75M2KRVLIZ5T73JMM}

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	2026-05-18T02:18:04.347215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e743cfa2b27ffacd2a355a33d9ff696303ce45981ff1e85b13a8f570badcba5c

Aliases

arxiv: 1403.7062 · arxiv_version: 1403.7062v3 · doi: 10.48550/arxiv.1403.7062 · pith_short_12: 45B47IVSP75M · pith_short_16: 45B47IVSP75M2KRV · pith_short_8: 45B47IVS

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/45B47IVSP75M2KRVLIZ5T73JMM \
  | 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: e743cfa2b27ffacd2a355a33d9ff696303ce45981ff1e85b13a8f570badcba5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0e576923f550f0aa22a115f3363b43ae461096c5d49f7fe158475c5cea85287",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-03-27T14:49:21Z",
    "title_canon_sha256": "c68fa951e364f4eef4b5928bb6f322834a3b40103f93360daa65ef20ba3a6dab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7062",
    "kind": "arxiv",
    "version": 3
  }
}