{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:GKRAXVDMH3ALRJDMIL3RV64FAL","short_pith_number":"pith:GKRAXVDM","schema_version":"1.0","canonical_sha256":"32a20bd46c3ec0b8a46c42f71afb8502f07e392e9919eb732b223d193e91e098","source":{"kind":"arxiv","id":"1412.1672","version":1},"attestation_state":"computed","paper":{"title":"Similarity problems in noncommutative polydomains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.FA","authors_text":"Gelu Popescu","submitted_at":"2014-12-04T14:15:51Z","abstract_excerpt":"In this paper we consider several problems of joint similarity to tuples of bounded linear operators in noncommutative polydomains and varieties associated with sets of noncommutative polynomials. We obtain analogues of classical results such as Rota's model theorem for operators with spectral radius less than one, Sz.-Nagy characterization of operators similar to isometries (or unitary operators), and the refinement obtained by Foia\\c s and by de Branges and Rovnyak for strongly stable contractions. We also provide analogues of these results in the context of joint similarity of commuting tup"},"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":"1412.1672","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-12-04T14:15:51Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"f04afcee79988b8f45c93cab69f71bb0ed0ed604b7109136f91b680a7b124ab9","abstract_canon_sha256":"354364d9bcb6609b96bf4f3cbef4c664dae6d9a13cb396030a336056a4a30832"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:06.743997Z","signature_b64":"lTWNRJXu/PPA0uewspMSQayFUbfzEOZqd7Ru88YgQE31vp+cT8HSjN6Zw1b02ueDgL6Z3MnZj7cAh1RarjFYCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32a20bd46c3ec0b8a46c42f71afb8502f07e392e9919eb732b223d193e91e098","last_reissued_at":"2026-05-18T02:32:06.743478Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:06.743478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Similarity problems in noncommutative polydomains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.FA","authors_text":"Gelu Popescu","submitted_at":"2014-12-04T14:15:51Z","abstract_excerpt":"In this paper we consider several problems of joint similarity to tuples of bounded linear operators in noncommutative polydomains and varieties associated with sets of noncommutative polynomials. We obtain analogues of classical results such as Rota's model theorem for operators with spectral radius less than one, Sz.-Nagy characterization of operators similar to isometries (or unitary operators), and the refinement obtained by Foia\\c s and by de Branges and Rovnyak for strongly stable contractions. We also provide analogues of these results in the context of joint similarity of commuting tup"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.1672","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":""},"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":"1412.1672","created_at":"2026-05-18T02:32:06.743558+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.1672v1","created_at":"2026-05-18T02:32:06.743558+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.1672","created_at":"2026-05-18T02:32:06.743558+00:00"},{"alias_kind":"pith_short_12","alias_value":"GKRAXVDMH3AL","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_16","alias_value":"GKRAXVDMH3ALRJDM","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_8","alias_value":"GKRAXVDM","created_at":"2026-05-18T12:28:30.664211+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/GKRAXVDMH3ALRJDMIL3RV64FAL","json":"https://pith.science/pith/GKRAXVDMH3ALRJDMIL3RV64FAL.json","graph_json":"https://pith.science/api/pith-number/GKRAXVDMH3ALRJDMIL3RV64FAL/graph.json","events_json":"https://pith.science/api/pith-number/GKRAXVDMH3ALRJDMIL3RV64FAL/events.json","paper":"https://pith.science/paper/GKRAXVDM"},"agent_actions":{"view_html":"https://pith.science/pith/GKRAXVDMH3ALRJDMIL3RV64FAL","download_json":"https://pith.science/pith/GKRAXVDMH3ALRJDMIL3RV64FAL.json","view_paper":"https://pith.science/paper/GKRAXVDM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.1672&json=true","fetch_graph":"https://pith.science/api/pith-number/GKRAXVDMH3ALRJDMIL3RV64FAL/graph.json","fetch_events":"https://pith.science/api/pith-number/GKRAXVDMH3ALRJDMIL3RV64FAL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GKRAXVDMH3ALRJDMIL3RV64FAL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GKRAXVDMH3ALRJDMIL3RV64FAL/action/storage_attestation","attest_author":"https://pith.science/pith/GKRAXVDMH3ALRJDMIL3RV64FAL/action/author_attestation","sign_citation":"https://pith.science/pith/GKRAXVDMH3ALRJDMIL3RV64FAL/action/citation_signature","submit_replication":"https://pith.science/pith/GKRAXVDMH3ALRJDMIL3RV64FAL/action/replication_record"}},"created_at":"2026-05-18T02:32:06.743558+00:00","updated_at":"2026-05-18T02:32:06.743558+00:00"}