{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:KF277MGU3CP3W4RAGUAT5E2NY7","short_pith_number":"pith:KF277MGU","schema_version":"1.0","canonical_sha256":"5175ffb0d4d89fbb722035013e934dc7c09a00c891f6ed6fb2ee0dfc6a50367f","source":{"kind":"arxiv","id":"0903.5467","version":1},"attestation_state":"computed","paper":{"title":"Quasi *-algebras of measurable operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"C. Trapani, F. Bagarello, S. Triolo","submitted_at":"2009-03-31T13:37:03Z","abstract_excerpt":"Non-commutative $L^p$-spaces are shown to constitute examples of a class of Banach quasi *-algebras called CQ*-algebras. For $p\\geq 2$ they are also proved to possess a {\\em sufficient} family of bounded positive sesquilinear forms satisfying certain invariance properties. CQ *-algebras of measurable operators over a finite von Neumann algebra are also constructed and it is proven that any abstract CQ*-algebra $(\\X,\\Ao)$ possessing a sufficient family of bounded positive tracial sesquilinear forms can be represented as a CQ*-algebra of this type."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0903.5467","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-03-31T13:37:03Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"eb61bfc9cd8acace2aa91491b0dc3a877b945a75986f8523ca41e7076c281a99","abstract_canon_sha256":"36cee8e3aa934b3b0c54874151891969b7834876a8bd643deab36e1ee6a77b0a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:40:27.447131Z","signature_b64":"TKaPHcJ2v00wMrM4AJ7qjpAlHLbw8QWb+mAYCXJrQ+tEa1V/IPlpk2hwq0htYFa5lxqdfNpDBIUc0IRUGOm4Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5175ffb0d4d89fbb722035013e934dc7c09a00c891f6ed6fb2ee0dfc6a50367f","last_reissued_at":"2026-07-04T15:40:27.446729Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:40:27.446729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quasi *-algebras of measurable operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"C. Trapani, F. Bagarello, S. Triolo","submitted_at":"2009-03-31T13:37:03Z","abstract_excerpt":"Non-commutative $L^p$-spaces are shown to constitute examples of a class of Banach quasi *-algebras called CQ*-algebras. For $p\\geq 2$ they are also proved to possess a {\\em sufficient} family of bounded positive sesquilinear forms satisfying certain invariance properties. CQ *-algebras of measurable operators over a finite von Neumann algebra are also constructed and it is proven that any abstract CQ*-algebra $(\\X,\\Ao)$ possessing a sufficient family of bounded positive tracial sesquilinear forms can be represented as a CQ*-algebra of this type."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.5467","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0903.5467/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"0903.5467","created_at":"2026-07-04T15:40:27.446794+00:00"},{"alias_kind":"arxiv_version","alias_value":"0903.5467v1","created_at":"2026-07-04T15:40:27.446794+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.5467","created_at":"2026-07-04T15:40:27.446794+00:00"},{"alias_kind":"pith_short_12","alias_value":"KF277MGU3CP3","created_at":"2026-07-04T15:40:27.446794+00:00"},{"alias_kind":"pith_short_16","alias_value":"KF277MGU3CP3W4RA","created_at":"2026-07-04T15:40:27.446794+00:00"},{"alias_kind":"pith_short_8","alias_value":"KF277MGU","created_at":"2026-07-04T15:40:27.446794+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KF277MGU3CP3W4RAGUAT5E2NY7","json":"https://pith.science/pith/KF277MGU3CP3W4RAGUAT5E2NY7.json","graph_json":"https://pith.science/api/pith-number/KF277MGU3CP3W4RAGUAT5E2NY7/graph.json","events_json":"https://pith.science/api/pith-number/KF277MGU3CP3W4RAGUAT5E2NY7/events.json","paper":"https://pith.science/paper/KF277MGU"},"agent_actions":{"view_html":"https://pith.science/pith/KF277MGU3CP3W4RAGUAT5E2NY7","download_json":"https://pith.science/pith/KF277MGU3CP3W4RAGUAT5E2NY7.json","view_paper":"https://pith.science/paper/KF277MGU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0903.5467&json=true","fetch_graph":"https://pith.science/api/pith-number/KF277MGU3CP3W4RAGUAT5E2NY7/graph.json","fetch_events":"https://pith.science/api/pith-number/KF277MGU3CP3W4RAGUAT5E2NY7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KF277MGU3CP3W4RAGUAT5E2NY7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KF277MGU3CP3W4RAGUAT5E2NY7/action/storage_attestation","attest_author":"https://pith.science/pith/KF277MGU3CP3W4RAGUAT5E2NY7/action/author_attestation","sign_citation":"https://pith.science/pith/KF277MGU3CP3W4RAGUAT5E2NY7/action/citation_signature","submit_replication":"https://pith.science/pith/KF277MGU3CP3W4RAGUAT5E2NY7/action/replication_record"}},"created_at":"2026-07-04T15:40:27.446794+00:00","updated_at":"2026-07-04T15:40:27.446794+00:00"}