pith. sign in
Pith Number

pith:X676S2NJ

pith:2013:X676S2NJAKAUUR3YR5HMSB5N6G
not attested not anchored not stored refs pending

Sandwiched R\'enyi Divergence Satisfies Data Processing Inequality

Salman Beigi

arxiv:1306.5920 v6 · 2013-06-25 · quant-ph · cs.IT · math-ph · math.IT · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{X676S2NJAKAUUR3YR5HMSB5N6G}

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 2026-05-18T03:04:49.179576Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bfbfe969a902814a47788f4ec907adf1afbadbe5613a071dc226de88861db197

Aliases

arxiv: 1306.5920 · arxiv_version: 1306.5920v6 · doi: 10.48550/arxiv.1306.5920 · pith_short_12: X676S2NJAKAU · pith_short_16: X676S2NJAKAUUR3Y · pith_short_8: X676S2NJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/X676S2NJAKAUUR3YR5HMSB5N6G \
  | 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: bfbfe969a902814a47788f4ec907adf1afbadbe5613a071dc226de88861db197
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "433aceb1a5e1e68774737ba5583d1d24a6135ac4c01f3f1d7ac0be4291c11ad9",
    "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": "2013-06-25T11:18:19Z",
    "title_canon_sha256": "bcbf3c77e9127d907ea4084620ce40f6a190e50d4ad60c9db165d7087c897ead"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5920",
    "kind": "arxiv",
    "version": 6
  }
}