{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:LT6SM5QT6AJM5LNVFUDH2ICZIT","short_pith_number":"pith:LT6SM5QT","schema_version":"1.0","canonical_sha256":"5cfd267613f012ceadb52d067d205944fccbcb86eb29601070105618e2080ee8","source":{"kind":"arxiv","id":"1504.00563","version":2},"attestation_state":"computed","paper":{"title":"On discrete subordination of power bounded and Ritt operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.FA","authors_text":"Alexander Gomilko, Yuri Tomilov","submitted_at":"2015-04-02T14:05:41Z","abstract_excerpt":"By means of a new technique, we develop further a discrete subordination approach to the functional calculus of power bounded and Ritt operators initiated by N. Dungey in [19]. This allows us to show, in particular, that (infinite) convex combinations of powers of Ritt operators are Ritt. Moreover, we provide a unified framework for several main results on discrete subordination from [19] and answer a question left open in [19]. The paper can be considered as a complement to [26] for the discrete setting."},"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":"1504.00563","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-04-02T14:05:41Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"266a264c628e2022908d3637229c73b4e112fdec9b3fa43f0f9650166c5f6e07","abstract_canon_sha256":"5486ec74403f645590ab2fdad08924620ca1f1aab7e370d5dfd960d9f48592fd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:01.355739Z","signature_b64":"NQNlDkdscHWoxFEdE3i1NjYPXNQ87TKrE3snMccT+sWXjs4nEevgoBvZOqQNBiayxpC+UZntMwCnk6YabknOBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5cfd267613f012ceadb52d067d205944fccbcb86eb29601070105618e2080ee8","last_reissued_at":"2026-05-18T01:04:01.355076Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:01.355076Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On discrete subordination of power bounded and Ritt operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.FA","authors_text":"Alexander Gomilko, Yuri Tomilov","submitted_at":"2015-04-02T14:05:41Z","abstract_excerpt":"By means of a new technique, we develop further a discrete subordination approach to the functional calculus of power bounded and Ritt operators initiated by N. Dungey in [19]. This allows us to show, in particular, that (infinite) convex combinations of powers of Ritt operators are Ritt. Moreover, we provide a unified framework for several main results on discrete subordination from [19] and answer a question left open in [19]. The paper can be considered as a complement to [26] for the discrete setting."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.00563","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":"1504.00563","created_at":"2026-05-18T01:04:01.355167+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.00563v2","created_at":"2026-05-18T01:04:01.355167+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.00563","created_at":"2026-05-18T01:04:01.355167+00:00"},{"alias_kind":"pith_short_12","alias_value":"LT6SM5QT6AJM","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_16","alias_value":"LT6SM5QT6AJM5LNV","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_8","alias_value":"LT6SM5QT","created_at":"2026-05-18T12:29:29.992203+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/LT6SM5QT6AJM5LNVFUDH2ICZIT","json":"https://pith.science/pith/LT6SM5QT6AJM5LNVFUDH2ICZIT.json","graph_json":"https://pith.science/api/pith-number/LT6SM5QT6AJM5LNVFUDH2ICZIT/graph.json","events_json":"https://pith.science/api/pith-number/LT6SM5QT6AJM5LNVFUDH2ICZIT/events.json","paper":"https://pith.science/paper/LT6SM5QT"},"agent_actions":{"view_html":"https://pith.science/pith/LT6SM5QT6AJM5LNVFUDH2ICZIT","download_json":"https://pith.science/pith/LT6SM5QT6AJM5LNVFUDH2ICZIT.json","view_paper":"https://pith.science/paper/LT6SM5QT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.00563&json=true","fetch_graph":"https://pith.science/api/pith-number/LT6SM5QT6AJM5LNVFUDH2ICZIT/graph.json","fetch_events":"https://pith.science/api/pith-number/LT6SM5QT6AJM5LNVFUDH2ICZIT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LT6SM5QT6AJM5LNVFUDH2ICZIT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LT6SM5QT6AJM5LNVFUDH2ICZIT/action/storage_attestation","attest_author":"https://pith.science/pith/LT6SM5QT6AJM5LNVFUDH2ICZIT/action/author_attestation","sign_citation":"https://pith.science/pith/LT6SM5QT6AJM5LNVFUDH2ICZIT/action/citation_signature","submit_replication":"https://pith.science/pith/LT6SM5QT6AJM5LNVFUDH2ICZIT/action/replication_record"}},"created_at":"2026-05-18T01:04:01.355167+00:00","updated_at":"2026-05-18T01:04:01.355167+00:00"}