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  "problem_id": "vibemathed:a-counterexample-to-the-howland-kato-problem-for-positive-commutators",
  "title": "A counterexample to the Howland-Kato problem for positive commutators",
  "canonical_statement": "The Howland-Kato conjecture that every nonzero positive commutator $i[f(P),g(Q)]$ must arise from functions in appropriate Kato classes is false: $i[\\arctan(P),\\arctan(Q)]$ is nonzero and nonnegative.",
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      "occurred_at": "2026-08-07T00:00:00.000Z",
      "title": "arXiv",
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      "human_collaborators": [
        "Rupert L. Frank",
        "Paata Ivanisvili"
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