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To this end, we carry out a detailed analysis of the continuity properties of the associated propagator.","weakest_assumption":"The continuity properties of the propagator for the Laguerre operator are sufficient to establish well-posedness of the Cauchy problem and to relate it to the global harmonic-oscillator problem (abstract, first paragraph)."}},"verdict_id":"b27c069a-d8cc-4b41-8c8b-9b2822dcef87"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:be37b4eeadb2ec3e6e8d47c244c0071ddf79d63b23f4ce0ede26177a3f20ab9a","target":"record","created_at":"2026-05-20T00:03:31Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"7af6305a7b65cdf4afe45937f0a56967d03a0fae96fb176735d31b999f1ca79b","cross_cats_sorted":["math.FA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-05-16T11:21:11Z","title_canon_sha256":"f21e603628ac789fc0906d6c5f7a97a09747276b08c17a2b3f0a8380edf29f8f"},"schema_version":"1.0","source":{"id":"2605.16939","kind":"arxiv","version":1}},"canonical_sha256":"99faa109efbedc6a53e97d8ae56333f6fc5fcc2653f3bb072396ea15f5af7f6a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99faa109efbedc6a53e97d8ae56333f6fc5fcc2653f3bb072396ea15f5af7f6a","first_computed_at":"2026-05-20T00:03:31.901256Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:03:31.901256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uyWRlw5Wvm041BLWFyHzLDa6lkwKXlI9FDdY8jLH6rQXnzYj0uKMxOP8fUQsWZcSFuSwiyLd60X/FQIL3Rr7Dg==","signature_status":"signed_v1","signed_at":"2026-05-20T00:03:31.902033Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.16939","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be37b4eeadb2ec3e6e8d47c244c0071ddf79d63b23f4ce0ede26177a3f20ab9a","sha256:73c3c6a3acc8261a40837da5f8aa4ea33e3c54e2fd98530d8e096b7608bfbc76"],"state_sha256":"4ab5a552c7dc9453f9f22a05ee91142f260b0f2d8485dccd092e1e5886a0c272"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CmwmZzYeXZ1QaXQG7iO5dhStXm3Gx5uisdAuM/gOYL0T3RxhuVuXHbsFClP4w5ZLS9JXg8aFhta/o0XDQdUwCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T22:10:26.591883Z","bundle_sha256":"d50db2bd01e2a12b710dbe777d8b2f56b7f0b8994a4b0e82bc1df49efb5780f1"}}