Pith Number

pith:OC3ZTG4Z

pith:2021:OC3ZTG4Z5ZHKTKPDIVMFZSZV5H

not attested not anchored not stored refs pending

Quantum R\'enyi divergences and the strong converse exponent of state discrimination in operator algebras

Fumio Hiai, Mil\'an Mosonyi

arxiv:2110.07320 v2 · 2021-10-14 · quant-ph · cs.IT · math-ph · math.IT · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OC3ZTG4Z5ZHKTKPDIVMFZSZV5H}

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.

Cited by

1 paper in Pith

Hockey stick $f$-divergences

Receipt and verification

First computed	2026-07-05T11:51:11.792108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70b7999b99ee4ea9a9e345585ccb35e9ee231aac02abffe23bf23cb1f538a100

Aliases

arxiv: 2110.07320 · arxiv_version: 2110.07320v2 · doi: 10.48550/arxiv.2110.07320 · pith_short_12: OC3ZTG4Z5ZHK · pith_short_16: OC3ZTG4Z5ZHKTKPD · pith_short_8: OC3ZTG4Z

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/OC3ZTG4Z5ZHKTKPDIVMFZSZV5H \
  | 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: 70b7999b99ee4ea9a9e345585ccb35e9ee231aac02abffe23bf23cb1f538a100

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c712bb40f88f271d1461093ab1d72261e47146362ac61b2507a313b84c68c661",
    "cross_cats_sorted": [
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-10-14T12:54:57Z",
    "title_canon_sha256": "9c0d28477fc1ecf58d2d34f7ec13163758e5f835cf6890fbc00b541513121db4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.07320",
    "kind": "arxiv",
    "version": 2
  }
}