Pith Number

pith:UMSO7L7B

pith:2013:UMSO7L7B3TAUT5VY5F76WQ44DI

not attested not anchored not stored refs pending

On quantum Renyi entropies: a new generalization and some properties

Fr\'ed\'eric Dupuis, Marco Tomamichel, Martin M\"uller-Lennert, Oleg Szehr, Serge Fehr

arxiv:1306.3142 v4 · 2013-06-13 · quant-ph · cs.IT · math-ph · math.IT · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMSO7L7B3TAUT5VY5F76WQ44DI}

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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.

Cited by

3 papers in Pith

A general proof of integer R\'enyi QNEC

Constrained free energy minimization for the design of thermal states and stabilizer thermodynamic systems

Finite-size quantum key distribution rates from R\'enyi entropies using conic optimization

Receipt and verification

First computed	2026-05-18T03:01:10.539412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a324efafe1dcc149f6b8e97feb439c1a3be9c44d0939d2fe17562ba223e95842

Aliases

arxiv: 1306.3142 · arxiv_version: 1306.3142v4 · doi: 10.48550/arxiv.1306.3142 · pith_short_12: UMSO7L7B3TAU · pith_short_16: UMSO7L7B3TAUT5VY · pith_short_8: UMSO7L7B

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/UMSO7L7B3TAUT5VY5F76WQ44DI \
  | 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: a324efafe1dcc149f6b8e97feb439c1a3be9c44d0939d2fe17562ba223e95842

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26cd7fec7b9c914999db58f2d37f0f825b1f449e1b31b5bc5fbee51bf63d5d62",
    "cross_cats_sorted": [
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-06-13T15:36:33Z",
    "title_canon_sha256": "e8908a0411fd3112998650e80ae6a2743aa3faef83e9058c72d9c1a207a60c0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3142",
    "kind": "arxiv",
    "version": 4
  }
}