{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:63MLQEEYNSFJPXZGVJID5VMLUE","short_pith_number":"pith:63MLQEEY","schema_version":"1.0","canonical_sha256":"f6d8b810986c8a97df26aa503ed58ba12bf32da2996a827e4ca63e41570f7e79","source":{"kind":"arxiv","id":"2002.09087","version":8},"attestation_state":"computed","paper":{"title":"On spectral inclusion and mapping theorems for scalar type spectral operators and semigroups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SP"],"primary_cat":"math.FA","authors_text":"Marat V. Markin","submitted_at":"2020-02-21T01:58:53Z","abstract_excerpt":"We establish spectral inclusion and mapping theorems for scalar type spectral operators, generalizing their counterparts for normal operators. Thereby, we extend a precise weak spectral mapping theorem, known to hold for $C_0$-semigroups of normal operators on complex Hilbert spaces, to the more general case of $C_0$-semigroups of scalar type spectral operators on complex Banach spaces. The finer spectrum structure is given itemized consideration."},"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":"2002.09087","kind":"arxiv","version":8},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2020-02-21T01:58:53Z","cross_cats_sorted":["math.SP"],"title_canon_sha256":"cd2e3add94fabc3fe67380ebe55bb88fd166f9bdce1b95070a0c23bf1a3de257","abstract_canon_sha256":"d9921ad46554eb7073ccd7e2efa9df9f4dd0b23a834649c53d83f7145480693b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:01.958685Z","signature_b64":"fSepvric7lZV8hwVfouxVUcQsZ2X1UOUy5lveOPYEMpUUZWbf+I1muCWd4LJlDArDXPjySSk9i7AIRAtnbgXCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6d8b810986c8a97df26aa503ed58ba12bf32da2996a827e4ca63e41570f7e79","last_reissued_at":"2026-05-17T23:39:01.958044Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:01.958044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On spectral inclusion and mapping theorems for scalar type spectral operators and semigroups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SP"],"primary_cat":"math.FA","authors_text":"Marat V. Markin","submitted_at":"2020-02-21T01:58:53Z","abstract_excerpt":"We establish spectral inclusion and mapping theorems for scalar type spectral operators, generalizing their counterparts for normal operators. Thereby, we extend a precise weak spectral mapping theorem, known to hold for $C_0$-semigroups of normal operators on complex Hilbert spaces, to the more general case of $C_0$-semigroups of scalar type spectral operators on complex Banach spaces. The finer spectrum structure is given itemized consideration."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.09087","kind":"arxiv","version":8},"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":"2002.09087","created_at":"2026-05-17T23:39:01.958168+00:00"},{"alias_kind":"arxiv_version","alias_value":"2002.09087v8","created_at":"2026-05-17T23:39:01.958168+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.09087","created_at":"2026-05-17T23:39:01.958168+00:00"},{"alias_kind":"pith_short_12","alias_value":"63MLQEEYNSFJ","created_at":"2026-05-18T12:33:33.725879+00:00"},{"alias_kind":"pith_short_16","alias_value":"63MLQEEYNSFJPXZG","created_at":"2026-05-18T12:33:33.725879+00:00"},{"alias_kind":"pith_short_8","alias_value":"63MLQEEY","created_at":"2026-05-18T12:33:33.725879+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/63MLQEEYNSFJPXZGVJID5VMLUE","json":"https://pith.science/pith/63MLQEEYNSFJPXZGVJID5VMLUE.json","graph_json":"https://pith.science/api/pith-number/63MLQEEYNSFJPXZGVJID5VMLUE/graph.json","events_json":"https://pith.science/api/pith-number/63MLQEEYNSFJPXZGVJID5VMLUE/events.json","paper":"https://pith.science/paper/63MLQEEY"},"agent_actions":{"view_html":"https://pith.science/pith/63MLQEEYNSFJPXZGVJID5VMLUE","download_json":"https://pith.science/pith/63MLQEEYNSFJPXZGVJID5VMLUE.json","view_paper":"https://pith.science/paper/63MLQEEY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2002.09087&json=true","fetch_graph":"https://pith.science/api/pith-number/63MLQEEYNSFJPXZGVJID5VMLUE/graph.json","fetch_events":"https://pith.science/api/pith-number/63MLQEEYNSFJPXZGVJID5VMLUE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/63MLQEEYNSFJPXZGVJID5VMLUE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/63MLQEEYNSFJPXZGVJID5VMLUE/action/storage_attestation","attest_author":"https://pith.science/pith/63MLQEEYNSFJPXZGVJID5VMLUE/action/author_attestation","sign_citation":"https://pith.science/pith/63MLQEEYNSFJPXZGVJID5VMLUE/action/citation_signature","submit_replication":"https://pith.science/pith/63MLQEEYNSFJPXZGVJID5VMLUE/action/replication_record"}},"created_at":"2026-05-17T23:39:01.958168+00:00","updated_at":"2026-05-17T23:39:01.958168+00:00"}