{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:QOLR63DO4YARPDSJ5SV5CNMVEV","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":"0c1678f827834cd396f6403e7d417d19296b673213f67e5a20fc7cf68dac2cc4","cross_cats_sorted":["math.OC","math.ST","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-07-11T14:49:12Z","title_canon_sha256":"904a5fd7285010677a320cd708ed7a98af3cb2f9b3bb6061e49dc02577b32a69"},"schema_version":"1.0","source":{"id":"1507.03111","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.03111","created_at":"2026-05-18T01:35:29Z"},{"alias_kind":"arxiv_version","alias_value":"1507.03111v2","created_at":"2026-05-18T01:35:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.03111","created_at":"2026-05-18T01:35:29Z"},{"alias_kind":"pith_short_12","alias_value":"QOLR63DO4YAR","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"QOLR63DO4YARPDSJ","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"QOLR63DO","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:5825f1f48fdef8768c4284f870b4fd7274c3ccac2cad77888257f703f9220c46","target":"graph","created_at":"2026-05-18T01:35:29Z","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":"Methods from learning theory are used in the state space of linear dynamical and control systems in order to estimate the system matrices. An application to stabilization via algebraic Riccati equations is included. The approach is illustrated via a series of numerical examples.","authors_text":"Boumediene Hamzi, Fritz Colonius","cross_cats":["math.OC","math.ST","stat.ML","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-07-11T14:49:12Z","title":"Kernel Methods for Linear Discrete-Time Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.03111","kind":"arxiv","version":2},"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":"sha256:101b13a6e2846a207f64d167ebd51cc774459f55d8ae811d5ef45e99a09d4f5d","target":"record","created_at":"2026-05-18T01:35:29Z","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":"0c1678f827834cd396f6403e7d417d19296b673213f67e5a20fc7cf68dac2cc4","cross_cats_sorted":["math.OC","math.ST","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-07-11T14:49:12Z","title_canon_sha256":"904a5fd7285010677a320cd708ed7a98af3cb2f9b3bb6061e49dc02577b32a69"},"schema_version":"1.0","source":{"id":"1507.03111","kind":"arxiv","version":2}},"canonical_sha256":"83971f6c6ee601178e49ecabd13595255e630a66dae3e72ddc44fb3a475eab27","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"83971f6c6ee601178e49ecabd13595255e630a66dae3e72ddc44fb3a475eab27","first_computed_at":"2026-05-18T01:35:29.578412Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:29.578412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zve+6icqrkU5Fjks0sMMm7SkMKdTbZwd4TlwMzZXjgNNQPvtH/Wz3zhF9zUOfi6hOpAA7Im0IwlMzMhZornSAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:29.578908Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.03111","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:101b13a6e2846a207f64d167ebd51cc774459f55d8ae811d5ef45e99a09d4f5d","sha256:5825f1f48fdef8768c4284f870b4fd7274c3ccac2cad77888257f703f9220c46"],"state_sha256":"6dff0851ae99dadb7209388f229f015ab2e231d226d3f67ea5df5873a6769ad3"}