{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:ZBHOU7HZIZZ7YLHSNDCFA2HC4J","short_pith_number":"pith:ZBHOU7HZ","schema_version":"1.0","canonical_sha256":"c84eea7cf94673fc2cf268c45068e2e251a4af7fb1e94bcb5e3a2fc737159da0","source":{"kind":"arxiv","id":"1503.01151","version":2},"attestation_state":"computed","paper":{"title":"Destabilization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"John Quigg, S. Kaliszewski, Tron Omland","submitted_at":"2015-03-03T22:41:04Z","abstract_excerpt":"This partly expository paper first supplies the details of a method of factoring a stable C*-algebra A as B \\otimes K in a canonical way. Then it is shown that this method can be put into a categorical framework, much like the crossed-product dualities, and that stabilization gives rise to an equivalence between the nondegenerate category of C*-algebras and a category of \"K-algebras\". We consider this equivalence as \"inverting\" the stabilization process, that is, a \"destabilization\".\n  Furthermore, the method of factoring stable C*-algebras generalizes to Hilbert bimodules, and an analogous ca"},"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":"1503.01151","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-03-03T22:41:04Z","cross_cats_sorted":[],"title_canon_sha256":"d74f148298730414c6a4bb59e451a4fd22c76f61f641abe9f02d5e9cda0bd3af","abstract_canon_sha256":"c55eeafc46230b3155cbd0bb172e028f0234169f4e7029d753c20e9572c36724"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:11.013235Z","signature_b64":"CwG0j+4hGz6LpzSmivYYTAnV/NE9RFADNvHJCB8/oxQqIqXwTunM+aLMaBJDijjDe/JRHGjyIQKoyGFFr7U6Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c84eea7cf94673fc2cf268c45068e2e251a4af7fb1e94bcb5e3a2fc737159da0","last_reissued_at":"2026-05-18T01:35:11.012582Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:11.012582Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Destabilization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"John Quigg, S. Kaliszewski, Tron Omland","submitted_at":"2015-03-03T22:41:04Z","abstract_excerpt":"This partly expository paper first supplies the details of a method of factoring a stable C*-algebra A as B \\otimes K in a canonical way. Then it is shown that this method can be put into a categorical framework, much like the crossed-product dualities, and that stabilization gives rise to an equivalence between the nondegenerate category of C*-algebras and a category of \"K-algebras\". We consider this equivalence as \"inverting\" the stabilization process, that is, a \"destabilization\".\n  Furthermore, the method of factoring stable C*-algebras generalizes to Hilbert bimodules, and an analogous ca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01151","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1503.01151","created_at":"2026-05-18T01:35:11.012714+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.01151v2","created_at":"2026-05-18T01:35:11.012714+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.01151","created_at":"2026-05-18T01:35:11.012714+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZBHOU7HZIZZ7","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZBHOU7HZIZZ7YLHS","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZBHOU7HZ","created_at":"2026-05-18T12:29:52.810259+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/ZBHOU7HZIZZ7YLHSNDCFA2HC4J","json":"https://pith.science/pith/ZBHOU7HZIZZ7YLHSNDCFA2HC4J.json","graph_json":"https://pith.science/api/pith-number/ZBHOU7HZIZZ7YLHSNDCFA2HC4J/graph.json","events_json":"https://pith.science/api/pith-number/ZBHOU7HZIZZ7YLHSNDCFA2HC4J/events.json","paper":"https://pith.science/paper/ZBHOU7HZ"},"agent_actions":{"view_html":"https://pith.science/pith/ZBHOU7HZIZZ7YLHSNDCFA2HC4J","download_json":"https://pith.science/pith/ZBHOU7HZIZZ7YLHSNDCFA2HC4J.json","view_paper":"https://pith.science/paper/ZBHOU7HZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.01151&json=true","fetch_graph":"https://pith.science/api/pith-number/ZBHOU7HZIZZ7YLHSNDCFA2HC4J/graph.json","fetch_events":"https://pith.science/api/pith-number/ZBHOU7HZIZZ7YLHSNDCFA2HC4J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZBHOU7HZIZZ7YLHSNDCFA2HC4J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZBHOU7HZIZZ7YLHSNDCFA2HC4J/action/storage_attestation","attest_author":"https://pith.science/pith/ZBHOU7HZIZZ7YLHSNDCFA2HC4J/action/author_attestation","sign_citation":"https://pith.science/pith/ZBHOU7HZIZZ7YLHSNDCFA2HC4J/action/citation_signature","submit_replication":"https://pith.science/pith/ZBHOU7HZIZZ7YLHSNDCFA2HC4J/action/replication_record"}},"created_at":"2026-05-18T01:35:11.012714+00:00","updated_at":"2026-05-18T01:35:11.012714+00:00"}