{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:BW54Z3257EFYGBDVBJXSBIQIJQ","short_pith_number":"pith:BW54Z325","schema_version":"1.0","canonical_sha256":"0dbbccef5df90b8304750a6f20a2084c05ce91fdfeefbe1c6ed0b598f18addd5","source":{"kind":"arxiv","id":"math/0601003","version":2},"attestation_state":"computed","paper":{"title":"Angles in C*-algebras","license":"","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"A. Katavolos, I. G. Todorov, M. Anoussis","submitted_at":"2005-12-30T21:16:39Z","abstract_excerpt":"In this work we characterise the C*-algebras A generated by projections with the property that every pair of projections in A has positive angle, as certain extensions of abelian algebras by algebras of compact operators. We show that this property is equivalent to a lattice theoretic property of projections and also to the property that the set of finite-dimensional *-subalgebras of A is directed."},"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":"math/0601003","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.OA","submitted_at":"2005-12-30T21:16:39Z","cross_cats_sorted":[],"title_canon_sha256":"e33b8b5d550d40efe2d6c68aec7bf29ad75ef6b8a73402d6471d50926dce6c12","abstract_canon_sha256":"0d7659354b02b6ed36344ba2eba2aa9e0a2f0988f713bb2ee73e0264423ea2b9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:41.631356Z","signature_b64":"c097cMEk1pYYqM5cjxhJYJFmEtMQWTPyS3hRMqcRCxS+aJygpCki68frkDXl54yhFudIa7o7oDiPHC/Ztn+YAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0dbbccef5df90b8304750a6f20a2084c05ce91fdfeefbe1c6ed0b598f18addd5","last_reissued_at":"2026-05-18T02:47:41.630595Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:41.630595Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Angles in C*-algebras","license":"","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"A. Katavolos, I. G. Todorov, M. Anoussis","submitted_at":"2005-12-30T21:16:39Z","abstract_excerpt":"In this work we characterise the C*-algebras A generated by projections with the property that every pair of projections in A has positive angle, as certain extensions of abelian algebras by algebras of compact operators. We show that this property is equivalent to a lattice theoretic property of projections and also to the property that the set of finite-dimensional *-subalgebras of A is directed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0601003","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":"math/0601003","created_at":"2026-05-18T02:47:41.630721+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0601003v2","created_at":"2026-05-18T02:47:41.630721+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0601003","created_at":"2026-05-18T02:47:41.630721+00:00"},{"alias_kind":"pith_short_12","alias_value":"BW54Z3257EFY","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"BW54Z3257EFYGBDV","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"BW54Z325","created_at":"2026-05-18T12:25:53.335082+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/BW54Z3257EFYGBDVBJXSBIQIJQ","json":"https://pith.science/pith/BW54Z3257EFYGBDVBJXSBIQIJQ.json","graph_json":"https://pith.science/api/pith-number/BW54Z3257EFYGBDVBJXSBIQIJQ/graph.json","events_json":"https://pith.science/api/pith-number/BW54Z3257EFYGBDVBJXSBIQIJQ/events.json","paper":"https://pith.science/paper/BW54Z325"},"agent_actions":{"view_html":"https://pith.science/pith/BW54Z3257EFYGBDVBJXSBIQIJQ","download_json":"https://pith.science/pith/BW54Z3257EFYGBDVBJXSBIQIJQ.json","view_paper":"https://pith.science/paper/BW54Z325","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0601003&json=true","fetch_graph":"https://pith.science/api/pith-number/BW54Z3257EFYGBDVBJXSBIQIJQ/graph.json","fetch_events":"https://pith.science/api/pith-number/BW54Z3257EFYGBDVBJXSBIQIJQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BW54Z3257EFYGBDVBJXSBIQIJQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BW54Z3257EFYGBDVBJXSBIQIJQ/action/storage_attestation","attest_author":"https://pith.science/pith/BW54Z3257EFYGBDVBJXSBIQIJQ/action/author_attestation","sign_citation":"https://pith.science/pith/BW54Z3257EFYGBDVBJXSBIQIJQ/action/citation_signature","submit_replication":"https://pith.science/pith/BW54Z3257EFYGBDVBJXSBIQIJQ/action/replication_record"}},"created_at":"2026-05-18T02:47:41.630721+00:00","updated_at":"2026-05-18T02:47:41.630721+00:00"}