{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:KE2QMGID2RJUOMFQGJ6UBQ7UFW","short_pith_number":"pith:KE2QMGID","schema_version":"1.0","canonical_sha256":"5135061903d4534730b0327d40c3f42dabe925d7dd53b9795ce1f40be9824d37","source":{"kind":"arxiv","id":"1402.1112","version":3},"attestation_state":"computed","paper":{"title":"An algebra whose subalgebras are characterized by density","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Alessandro Vignati","submitted_at":"2014-02-05T18:14:08Z","abstract_excerpt":"We refine a construction of Choi, Farah and Ozawa to build a nonseparable amenable operator algebra $\\mathcal A\\subseteq\\ell_\\infty(M_2)$ whose nonseparable subalgebras, including $\\mathcal A$, are not isomorphic to a $C^*$-algebra. This is done using a Luzin gap and a uniformly bounded group representation.\n  Next, we study additional properties of $\\mathcal A$ and of its separable subalgebras, related to the Kadison Kastler metric."},"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":"1402.1112","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-02-05T18:14:08Z","cross_cats_sorted":[],"title_canon_sha256":"6b0e4d971775d981cadfbaf757c4f87b091e28e692598df5ed39b9554f03ef1d","abstract_canon_sha256":"8eff115baa07157ab52d969d4c90f7fa28a511b001c8ffb43a5b36e9271a8f9c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:06.428417Z","signature_b64":"0kCyX8+C6kvMClD24NIzpyCN3Ag/G122zoS9x3kOgcL/lIUX8hkAw2UHKBzUm6XCWuC4P1R24W20J17VaQGGAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5135061903d4534730b0327d40c3f42dabe925d7dd53b9795ce1f40be9824d37","last_reissued_at":"2026-05-18T01:19:06.427657Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:06.427657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An algebra whose subalgebras are characterized by density","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Alessandro Vignati","submitted_at":"2014-02-05T18:14:08Z","abstract_excerpt":"We refine a construction of Choi, Farah and Ozawa to build a nonseparable amenable operator algebra $\\mathcal A\\subseteq\\ell_\\infty(M_2)$ whose nonseparable subalgebras, including $\\mathcal A$, are not isomorphic to a $C^*$-algebra. This is done using a Luzin gap and a uniformly bounded group representation.\n  Next, we study additional properties of $\\mathcal A$ and of its separable subalgebras, related to the Kadison Kastler metric."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1112","kind":"arxiv","version":3},"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":"1402.1112","created_at":"2026-05-18T01:19:06.427781+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.1112v3","created_at":"2026-05-18T01:19:06.427781+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.1112","created_at":"2026-05-18T01:19:06.427781+00:00"},{"alias_kind":"pith_short_12","alias_value":"KE2QMGID2RJU","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_16","alias_value":"KE2QMGID2RJUOMFQ","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_8","alias_value":"KE2QMGID","created_at":"2026-05-18T12:28:35.611951+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/KE2QMGID2RJUOMFQGJ6UBQ7UFW","json":"https://pith.science/pith/KE2QMGID2RJUOMFQGJ6UBQ7UFW.json","graph_json":"https://pith.science/api/pith-number/KE2QMGID2RJUOMFQGJ6UBQ7UFW/graph.json","events_json":"https://pith.science/api/pith-number/KE2QMGID2RJUOMFQGJ6UBQ7UFW/events.json","paper":"https://pith.science/paper/KE2QMGID"},"agent_actions":{"view_html":"https://pith.science/pith/KE2QMGID2RJUOMFQGJ6UBQ7UFW","download_json":"https://pith.science/pith/KE2QMGID2RJUOMFQGJ6UBQ7UFW.json","view_paper":"https://pith.science/paper/KE2QMGID","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.1112&json=true","fetch_graph":"https://pith.science/api/pith-number/KE2QMGID2RJUOMFQGJ6UBQ7UFW/graph.json","fetch_events":"https://pith.science/api/pith-number/KE2QMGID2RJUOMFQGJ6UBQ7UFW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KE2QMGID2RJUOMFQGJ6UBQ7UFW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KE2QMGID2RJUOMFQGJ6UBQ7UFW/action/storage_attestation","attest_author":"https://pith.science/pith/KE2QMGID2RJUOMFQGJ6UBQ7UFW/action/author_attestation","sign_citation":"https://pith.science/pith/KE2QMGID2RJUOMFQGJ6UBQ7UFW/action/citation_signature","submit_replication":"https://pith.science/pith/KE2QMGID2RJUOMFQGJ6UBQ7UFW/action/replication_record"}},"created_at":"2026-05-18T01:19:06.427781+00:00","updated_at":"2026-05-18T01:19:06.427781+00:00"}