Pith Number

pith:7C6EIKB7

pith:2018:7C6EIKB7NRBZFPYHB6CA46T5GK

not attested not anchored not stored refs pending

Quantum $f$-divergences in von Neumann algebras II. Maximal $f$-divergences

Fumio Hiai

arxiv:1807.03118 v1 · 2018-07-09 · math-ph · 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{7C6EIKB7NRBZFPYHB6CA46T5GK}

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

Bounding relative entropy for non-unitary excitations in quantum field theory

Receipt and verification

First computed	2026-05-17T23:53:30.397335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8bc44283f6c4392bf070f840e7a7d32a68aaa5418268d57e359bc9fbce750ea

Aliases

arxiv: 1807.03118 · arxiv_version: 1807.03118v1 · doi: 10.48550/arxiv.1807.03118 · pith_short_12: 7C6EIKB7NRBZ · pith_short_16: 7C6EIKB7NRBZFPYH · pith_short_8: 7C6EIKB7

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/7C6EIKB7NRBZFPYHB6CA46T5GK \
  | 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: f8bc44283f6c4392bf070f840e7a7d32a68aaa5418268d57e359bc9fbce750ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f09b287146ee5365d6bd04db8152c5ccb845c623ae5bb309fbdb1e160e97898a",
    "cross_cats_sorted": [
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-07-09T13:31:44Z",
    "title_canon_sha256": "1b508fd4d64395106cb675a7132cf9c56f161ddf0f8031efdd4e33c77246e5b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03118",
    "kind": "arxiv",
    "version": 1
  }
}