{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:UU7XABXHU4EZ5NG2LPKQCXPWJ6","short_pith_number":"pith:UU7XABXH","schema_version":"1.0","canonical_sha256":"a53f7006e7a7099eb4da5bd5015df64fa4477069ee53cb99cc16f60aeb76693b","source":{"kind":"arxiv","id":"1002.4790","version":2},"attestation_state":"computed","paper":{"title":"Classification of homomorphisms into simple Z-stable C^*-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Hiroki Matui","submitted_at":"2010-02-25T14:09:00Z","abstract_excerpt":"We classify unital monomorphisms into certain simple Z-stable C^*-algebras up to approximate unitary equivalence. The domain algebra C is allowed to be any unital separable commutative C^*-algebra, or any unital simple separable nuclear Z-stable C^*-algebra satisfying the UCT such that C\\otimes B is of tracial rank zero for a UHF algebra B. The target algebra A is allowed to be any unital simple separable Z-stable C^*-algebra such that A\\otimes B has tracial rank zero for a UHF algebra B, or any unital simple separable exact Z-stable C^*-algebra whose projections separate traces and whose extr"},"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":"1002.4790","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2010-02-25T14:09:00Z","cross_cats_sorted":[],"title_canon_sha256":"29813edac6c32d75d264ff65d7686647d71439df90204367765c630d0faf4018","abstract_canon_sha256":"4f03107f1f1207a7db7ecf2dfea45004c29470242fddc90c7ca11b31cbd82398"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:37:20.758659Z","signature_b64":"lnrwakL/EDUXyr5VN2Hmr98PS+py7grC5oKZAD2u1+/MQwAS6plGqGOFvguZtog2D5CmWmoTW/Ecao6mUsU+CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a53f7006e7a7099eb4da5bd5015df64fa4477069ee53cb99cc16f60aeb76693b","last_reissued_at":"2026-05-18T04:37:20.758121Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:37:20.758121Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classification of homomorphisms into simple Z-stable C^*-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Hiroki Matui","submitted_at":"2010-02-25T14:09:00Z","abstract_excerpt":"We classify unital monomorphisms into certain simple Z-stable C^*-algebras up to approximate unitary equivalence. The domain algebra C is allowed to be any unital separable commutative C^*-algebra, or any unital simple separable nuclear Z-stable C^*-algebra satisfying the UCT such that C\\otimes B is of tracial rank zero for a UHF algebra B. The target algebra A is allowed to be any unital simple separable Z-stable C^*-algebra such that A\\otimes B has tracial rank zero for a UHF algebra B, or any unital simple separable exact Z-stable C^*-algebra whose projections separate traces and whose extr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.4790","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":"1002.4790","created_at":"2026-05-18T04:37:20.758188+00:00"},{"alias_kind":"arxiv_version","alias_value":"1002.4790v2","created_at":"2026-05-18T04:37:20.758188+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.4790","created_at":"2026-05-18T04:37:20.758188+00:00"},{"alias_kind":"pith_short_12","alias_value":"UU7XABXHU4EZ","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_16","alias_value":"UU7XABXHU4EZ5NG2","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_8","alias_value":"UU7XABXH","created_at":"2026-05-18T12:26:15.391820+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/UU7XABXHU4EZ5NG2LPKQCXPWJ6","json":"https://pith.science/pith/UU7XABXHU4EZ5NG2LPKQCXPWJ6.json","graph_json":"https://pith.science/api/pith-number/UU7XABXHU4EZ5NG2LPKQCXPWJ6/graph.json","events_json":"https://pith.science/api/pith-number/UU7XABXHU4EZ5NG2LPKQCXPWJ6/events.json","paper":"https://pith.science/paper/UU7XABXH"},"agent_actions":{"view_html":"https://pith.science/pith/UU7XABXHU4EZ5NG2LPKQCXPWJ6","download_json":"https://pith.science/pith/UU7XABXHU4EZ5NG2LPKQCXPWJ6.json","view_paper":"https://pith.science/paper/UU7XABXH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1002.4790&json=true","fetch_graph":"https://pith.science/api/pith-number/UU7XABXHU4EZ5NG2LPKQCXPWJ6/graph.json","fetch_events":"https://pith.science/api/pith-number/UU7XABXHU4EZ5NG2LPKQCXPWJ6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UU7XABXHU4EZ5NG2LPKQCXPWJ6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UU7XABXHU4EZ5NG2LPKQCXPWJ6/action/storage_attestation","attest_author":"https://pith.science/pith/UU7XABXHU4EZ5NG2LPKQCXPWJ6/action/author_attestation","sign_citation":"https://pith.science/pith/UU7XABXHU4EZ5NG2LPKQCXPWJ6/action/citation_signature","submit_replication":"https://pith.science/pith/UU7XABXHU4EZ5NG2LPKQCXPWJ6/action/replication_record"}},"created_at":"2026-05-18T04:37:20.758188+00:00","updated_at":"2026-05-18T04:37:20.758188+00:00"}