Pith Number

pith:FB6TPAU3

pith:2011:FB6TPAU32W6TDKA3WIPJJ7ACTA

not attested not anchored not stored refs pending

The Smooth Entropy Formalism for von Neumann Algebras

Fabian Furrer, Mario Berta, Volkher B. Scholz

arxiv:1107.5460 v3 · 2011-07-27 · quant-ph · math-ph · 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{FB6TPAU32W6TDKA3WIPJJ7ACTA}

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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

Finite-size quantum key distribution rates from R\'enyi entropies using conic optimization

Receipt and verification

First computed	2026-05-18T01:25:40.131372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

287d37829bd5bd31a81bb21e94fc029830688e16108f7cae853446bf44daf0a3

Aliases

arxiv: 1107.5460 · arxiv_version: 1107.5460v3 · doi: 10.48550/arxiv.1107.5460 · pith_short_12: FB6TPAU32W6T · pith_short_16: FB6TPAU32W6TDKA3 · pith_short_8: FB6TPAU3

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/FB6TPAU32W6TDKA3WIPJJ7ACTA \
  | 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: 287d37829bd5bd31a81bb21e94fc029830688e16108f7cae853446bf44daf0a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9da0c648b6041c65e5cc03cd8b740f82e6b84eff2261e7e543113076bee66910",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-07-27T12:54:42Z",
    "title_canon_sha256": "f193ed3c8db928f311bfc78578a8d2671dfc5e0aceae5ead64a5318a02bba859"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5460",
    "kind": "arxiv",
    "version": 3
  }
}