Pith Number

pith:COXWC5DF

pith:2021:COXWC5DFHMTT3PZLBVQL5LHMRH

not attested not anchored not stored refs pending

Reliability Function of Quantum Information Decoupling via the Sandwiched R\'enyi Divergence

Ke Li, Yongsheng Yao

arxiv:2111.06343 v3 · 2021-11-11 · quant-ph · cs.IT · math-ph · math.IT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{COXWC5DFHMTT3PZLBVQL5LHMRH}

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

Doubly minimized Petz and sandwiched Renyi mutual information: Operational interpretation from binary quantum state discrimination

Receipt and verification

First computed	2026-07-05T08:37:11.672676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13af6174653b273dbf2b0d60beacec89c4422da9554e4a48e093a18dd86595d6

Aliases

arxiv: 2111.06343 · arxiv_version: 2111.06343v3 · doi: 10.48550/arxiv.2111.06343 · pith_short_12: COXWC5DFHMTT · pith_short_16: COXWC5DFHMTT3PZL · pith_short_8: COXWC5DF

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/COXWC5DFHMTT3PZLBVQL5LHMRH \
  | 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: 13af6174653b273dbf2b0d60beacec89c4422da9554e4a48e093a18dd86595d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c9620858c7bf5db6f93579c85ae111ba32daff611f69eb026af43cd1a0d5796",
    "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": "2021-11-11T17:56:36Z",
    "title_canon_sha256": "4202bf6fe0ab0de659c11203b91dbefa3d64f6f45037e5fd04a8dc9064c7ed12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.06343",
    "kind": "arxiv",
    "version": 3
  }
}