{
  "annotation_id": "b9becb90-ca21-4a85-8837-c9d6a60b12a7",
  "date_created": "2026-03-02T18:01:35.606000Z",
  "date_modified": "2026-03-02T18:01:35.606000Z",
  "file_hash": "b8921a0975c5976c16a56a167d38cabb92f57349ee5671267ad84d87e4ed9548",
  "private": false,
  "record": {
    "abstract": "We study the positive-operator-valued measures on the projective real line\ncovariant with respect to the projective group, assuming that the energy is a\npositive operator. This problem is similar to the more complicated problem of\nfinding the positive-operator-valued measures on the compactified Minkowski\nspace-time covariant with respect to the conformal group. It also describes a\ntime-of-arrival observable for a free particle covariant with respect to linear\ncanonical transformations.",
    "arxiv_id": "quant-ph/0001109",
    "authors": [
      "N. Pinamonti",
      "M. Toller"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Covariance Systems on the Projective Line",
    "url": "https://arxiv.org/abs/quant-ph/0001109"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "30c15d00-06cb-49cd-97e5-71ca205ac60b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}