Pith Number

pith:Z6AWXTUJ

pith:2022:Z6AWXTUJIB7WN6YXLHKKOGNLOM

not attested not anchored not stored refs pending

Test-measured R\'enyi divergences

Fumio Hiai, Mil\'an Mosonyi

arxiv:2201.05477 v3 · 2022-01-14 · 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{Z6AWXTUJIB7WN6YXLHKKOGNLOM}

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	2026-07-05T05:33:07.818242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf816bce89407f66fb1759d4a719ab73288fc9c588836fec051b3e4d7d42c7a3

Aliases

arxiv: 2201.05477 · arxiv_version: 2201.05477v3 · doi: 10.48550/arxiv.2201.05477 · pith_short_12: Z6AWXTUJIB7W · pith_short_16: Z6AWXTUJIB7WN6YX · pith_short_8: Z6AWXTUJ

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/Z6AWXTUJIB7WN6YXLHKKOGNLOM \
  | 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: cf816bce89407f66fb1759d4a719ab73288fc9c588836fec051b3e4d7d42c7a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1119f7475a79764e1343413e73cf8269ce67be04f54a76749e48250bdeffe1f",
    "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": "2022-01-14T14:30:50Z",
    "title_canon_sha256": "c21fffdc0eb725eaa723b9ea334cd21a0f318a3631bf597a0dc19d0b839c9e0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.05477",
    "kind": "arxiv",
    "version": 3
  }
}