{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QRFQLNR65LOAFEFFPVAXCMPYAV","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2628362ff9c3460d31df5e7ac619cccca2d48c6cbefba2eaaeb7ec1e28c1d610","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-03-14T20:27:43Z","title_canon_sha256":"2e52e68ffa6323d595c98e6c840b4cccb9beb6b8b0588b7914ca04439af1076c"},"schema_version":"1.0","source":{"id":"1703.04705","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.04705","created_at":"2026-05-18T00:32:31Z"},{"alias_kind":"arxiv_version","alias_value":"1703.04705v3","created_at":"2026-05-18T00:32:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.04705","created_at":"2026-05-18T00:32:31Z"},{"alias_kind":"pith_short_12","alias_value":"QRFQLNR65LOA","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QRFQLNR65LOAFEFF","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QRFQLNR6","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:e6d3ffc8e37050e96d803e52f86479041a4c9a9400752ca986eb3eccb2895b88","target":"graph","created_at":"2026-05-18T00:32:31Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We present a solution of the operator-valued Schur-function realization problem on the right-half plane by developing the corresponding de Branges-Rovnyak canonical conservative simple functional model. This model corresponds to the closely connected unitary model in the disk setting, but we work the theory out directly in the right-half plane, which allows us to exhibit structure which is absent in the disk case. A main feature of the study is that the connecting operator is unbounded, and so we need to make use of the theory of well-posed continuous-time systems. In order to strengthen the c","authors_text":"Joseph A. Ball, Mikael Kurula, Olof J. Staffans","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-03-14T20:27:43Z","title":"A conservative de Branges-Rovnyak functional model for operator Schur functions on $\\mathbb C^+$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.04705","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:26e06f7642f5b835f92f124071209f965bbaf7d79edbcd43b08ec468f8ec82a8","target":"record","created_at":"2026-05-18T00:32:31Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2628362ff9c3460d31df5e7ac619cccca2d48c6cbefba2eaaeb7ec1e28c1d610","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-03-14T20:27:43Z","title_canon_sha256":"2e52e68ffa6323d595c98e6c840b4cccb9beb6b8b0588b7914ca04439af1076c"},"schema_version":"1.0","source":{"id":"1703.04705","kind":"arxiv","version":3}},"canonical_sha256":"844b05b63eeadc0290a57d417131f80551aed4d96796316903ad149eeb117411","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"844b05b63eeadc0290a57d417131f80551aed4d96796316903ad149eeb117411","first_computed_at":"2026-05-18T00:32:31.080629Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:31.080629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SQ7hZDFUuYJqAN5v7EwWLTy0RgxmHsWMazwQi6EoqyLYe5nthqgOTLchMgn9TUdjYtYUZ01NIIrsJ8xD/8QoBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:31.081179Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.04705","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26e06f7642f5b835f92f124071209f965bbaf7d79edbcd43b08ec468f8ec82a8","sha256:e6d3ffc8e37050e96d803e52f86479041a4c9a9400752ca986eb3eccb2895b88"],"state_sha256":"9dda2e85e624f5f5e3c7c9656f13073a3de1848d84d25f90cc1e6535bdd31c83"}