{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:EQG62CEKCPRPIKO4VGIUOYRYAQ","short_pith_number":"pith:EQG62CEK","schema_version":"1.0","canonical_sha256":"240ded088a13e2f429dca9914762380432e444d56db610f06e84ae673ccfc4d8","source":{"kind":"arxiv","id":"1506.06627","version":2},"attestation_state":"computed","paper":{"title":"A system coupling and Donoghue classes of Herglotz-Nevanlinna functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.FA","authors_text":"Eduard Tsekanovskii, Konstantin Makarov, Sergey Belyi","submitted_at":"2015-06-22T14:33:07Z","abstract_excerpt":"We study the impedance functions of conservative L-systems with the unbounded main operators. In addition to the generalized Donoghue class $\\sM_\\kappa$ of Herglotz-Nevanlinna functions considered by the authors earlier, we introduce \"inverse\" generalized Donoghue classes $\\sM_\\kappa^{-1}$ of functions satisfying a different normalization condition on the generating measure, with a criterion for the impedance function $V_\\Theta(z)$ of an L-system $\\Theta$ to belong to the class $\\sM_\\kappa^{-1}$ presented.\n  In addition, we establish a connection between \"geometrical\" properties of two L-syste"},"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":"1506.06627","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-06-22T14:33:07Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"21d70e292c0612163d608b032bd229309d4fc531375b3244e99a69d410055638","abstract_canon_sha256":"39bfdf5cd37ea17ea34447735ea942ceae72e35dc401e2d3bdc44fa93d57e317"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:03.565744Z","signature_b64":"SQrnQY7wxx04MUMyAgaXUciD8PJjV4J2Kpm/nxLHgkruxE0PQAzIcXo1TXoDCCvQYO2eUiJuchxUvX/XdLNAAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"240ded088a13e2f429dca9914762380432e444d56db610f06e84ae673ccfc4d8","last_reissued_at":"2026-05-18T01:24:03.565084Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:03.565084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A system coupling and Donoghue classes of Herglotz-Nevanlinna functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.FA","authors_text":"Eduard Tsekanovskii, Konstantin Makarov, Sergey Belyi","submitted_at":"2015-06-22T14:33:07Z","abstract_excerpt":"We study the impedance functions of conservative L-systems with the unbounded main operators. In addition to the generalized Donoghue class $\\sM_\\kappa$ of Herglotz-Nevanlinna functions considered by the authors earlier, we introduce \"inverse\" generalized Donoghue classes $\\sM_\\kappa^{-1}$ of functions satisfying a different normalization condition on the generating measure, with a criterion for the impedance function $V_\\Theta(z)$ of an L-system $\\Theta$ to belong to the class $\\sM_\\kappa^{-1}$ presented.\n  In addition, we establish a connection between \"geometrical\" properties of two L-syste"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.06627","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":"1506.06627","created_at":"2026-05-18T01:24:03.565196+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.06627v2","created_at":"2026-05-18T01:24:03.565196+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.06627","created_at":"2026-05-18T01:24:03.565196+00:00"},{"alias_kind":"pith_short_12","alias_value":"EQG62CEKCPRP","created_at":"2026-05-18T12:29:19.899920+00:00"},{"alias_kind":"pith_short_16","alias_value":"EQG62CEKCPRPIKO4","created_at":"2026-05-18T12:29:19.899920+00:00"},{"alias_kind":"pith_short_8","alias_value":"EQG62CEK","created_at":"2026-05-18T12:29:19.899920+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/EQG62CEKCPRPIKO4VGIUOYRYAQ","json":"https://pith.science/pith/EQG62CEKCPRPIKO4VGIUOYRYAQ.json","graph_json":"https://pith.science/api/pith-number/EQG62CEKCPRPIKO4VGIUOYRYAQ/graph.json","events_json":"https://pith.science/api/pith-number/EQG62CEKCPRPIKO4VGIUOYRYAQ/events.json","paper":"https://pith.science/paper/EQG62CEK"},"agent_actions":{"view_html":"https://pith.science/pith/EQG62CEKCPRPIKO4VGIUOYRYAQ","download_json":"https://pith.science/pith/EQG62CEKCPRPIKO4VGIUOYRYAQ.json","view_paper":"https://pith.science/paper/EQG62CEK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.06627&json=true","fetch_graph":"https://pith.science/api/pith-number/EQG62CEKCPRPIKO4VGIUOYRYAQ/graph.json","fetch_events":"https://pith.science/api/pith-number/EQG62CEKCPRPIKO4VGIUOYRYAQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EQG62CEKCPRPIKO4VGIUOYRYAQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EQG62CEKCPRPIKO4VGIUOYRYAQ/action/storage_attestation","attest_author":"https://pith.science/pith/EQG62CEKCPRPIKO4VGIUOYRYAQ/action/author_attestation","sign_citation":"https://pith.science/pith/EQG62CEKCPRPIKO4VGIUOYRYAQ/action/citation_signature","submit_replication":"https://pith.science/pith/EQG62CEKCPRPIKO4VGIUOYRYAQ/action/replication_record"}},"created_at":"2026-05-18T01:24:03.565196+00:00","updated_at":"2026-05-18T01:24:03.565196+00:00"}