Pith Number

pith:A35UZ6QQ

pith:2026:A35UZ6QQNQESPUKKAWMUYPOZFB

not attested not anchored not stored refs pending

Integral representations of $f$-divergences for general von Neumann algebras

Gandalf Lechner, Leonardo Sangaletti, Markus B. Fr\"ob, Ricardo Correa da Silva

arxiv:2607.05195 v1 · 2026-07-06 · math.OA · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A35UZ6QQNQESPUKKAWMUYPOZFB}

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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	2026-07-07T03:19:19.346572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06fb4cfa106c0927d14a05994c3dd9284b6ada23bc67e66c316dc932954b6df3

Aliases

arxiv: 2607.05195 · arxiv_version: 2607.05195v1 · doi: 10.48550/arxiv.2607.05195 · pith_short_12: A35UZ6QQNQES · pith_short_16: A35UZ6QQNQESPUKK · pith_short_8: A35UZ6QQ

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/A35UZ6QQNQESPUKKAWMUYPOZFB \
  | 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: 06fb4cfa106c0927d14a05994c3dd9284b6ada23bc67e66c316dc932954b6df3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60a463eec601606f21f89d677d0242e20f154064354a56f1c86e79aa59b5b01b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-07-06T15:11:39Z",
    "title_canon_sha256": "d28dad72eae9c645d7f1c480e2770926be50c417503cbfc508f4873474838d14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05195",
    "kind": "arxiv",
    "version": 1
  }
}