Pith Number

pith:FOGCOWNA

pith:2025:FOGCOWNAYPP4MJMGU6MLNWY7KM

not attested not anchored not stored refs pending

Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras

Benedikt M. Reible

arxiv:2501.04564 v1 · 2025-01-08 · math.OA · 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{FOGCOWNAYPP4MJMGU6MLNWY7KM}

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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

The two-sided Bogoliubov inequality in von Neumann algebras conceptualizes the free energy--quantum correlations link

Receipt and verification

First computed	2026-07-05T09:58:37.359913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b8c2759a0c3dfc62586a798b6db1f53280792920e30cb4ab8b5abdc6bbe800a

Aliases

arxiv: 2501.04564 · arxiv_version: 2501.04564v1 · doi: 10.48550/arxiv.2501.04564 · pith_short_12: FOGCOWNAYPP4 · pith_short_16: FOGCOWNAYPP4MJMG · pith_short_8: FOGCOWNA

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/FOGCOWNAYPP4MJMGU6MLNWY7KM \
  | 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: 2b8c2759a0c3dfc62586a798b6db1f53280792920e30cb4ab8b5abdc6bbe800a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c8308714cdc31b135976c58d053ef63794b31b83dfa98ecacf644b545544ff2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-01-08T15:25:14Z",
    "title_canon_sha256": "b39961cf4f6f7df255082b696d3c3c7c85504065bbdf97e890bcf5122d44752f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04564",
    "kind": "arxiv",
    "version": 1
  }
}