{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7CBWC42JAYHX7TEIIR2QZZAPFK","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":"4ccb5aa2f38f17606c75cebf26c901da69162dfe969ea968cdbdc8f6a081a9d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-02-08T16:01:23Z","title_canon_sha256":"e15b9ec1d9c41630d69a165f427296e35d5583ed5bc5bea6c46d0975369af7bf"},"schema_version":"1.0","source":{"id":"1702.02486","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.02486","created_at":"2026-05-18T00:51:05Z"},{"alias_kind":"arxiv_version","alias_value":"1702.02486v1","created_at":"2026-05-18T00:51:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.02486","created_at":"2026-05-18T00:51:05Z"},{"alias_kind":"pith_short_12","alias_value":"7CBWC42JAYHX","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"7CBWC42JAYHX7TEI","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"7CBWC42J","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:cc81fbbdab7bab6e0afb6b3c8cad1ea90038b3c6aed75384936986263fa6492d","target":"graph","created_at":"2026-05-18T00:51:05Z","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 propose a fast method to approximate the real stability radius of a linear dynamical system with output feedback, where the perturbations are restricted to be real valued and bounded with respect to the Frobenius norm. Our work builds on a number of scalable algorithms that have been proposed in recent years, ranging from methods that approximate the complex or real pseudospectral abscissa and radius of large sparse matrices (and generalizations of these methods for pseudospectra to spectral value sets) to algorithms for approximating the complex stability radius (the reciprocal of the $H_\\","authors_text":"Mert Gurbuzbalaban, Michael Overton, Nicola Guglielmi, Tim Mitchell","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-02-08T16:01:23Z","title":"Approximating the Real Structured Stability Radius with Frobenius Norm Bounded Perturbations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.02486","kind":"arxiv","version":1},"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:c4a0aea5afd88f8e903b8c9702249e03f44e60cee75d7b776b340ba7566e94d4","target":"record","created_at":"2026-05-18T00:51:05Z","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":"4ccb5aa2f38f17606c75cebf26c901da69162dfe969ea968cdbdc8f6a081a9d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-02-08T16:01:23Z","title_canon_sha256":"e15b9ec1d9c41630d69a165f427296e35d5583ed5bc5bea6c46d0975369af7bf"},"schema_version":"1.0","source":{"id":"1702.02486","kind":"arxiv","version":1}},"canonical_sha256":"f883617349060f7fcc8844750ce40f2a80341260c07c31ac472a9c1ddac647cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f883617349060f7fcc8844750ce40f2a80341260c07c31ac472a9c1ddac647cd","first_computed_at":"2026-05-18T00:51:05.831805Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:05.831805Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1SC0zOvxws5Vb1L94Pn84gcdaqTFgzdw9Zq6HJ99QsuO6444LPE6ecXfApVXBLbdEeIdqC6eKuk8cPOXI50LCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:05.832188Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.02486","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4a0aea5afd88f8e903b8c9702249e03f44e60cee75d7b776b340ba7566e94d4","sha256:cc81fbbdab7bab6e0afb6b3c8cad1ea90038b3c6aed75384936986263fa6492d"],"state_sha256":"d79c31a4275a0fb8a65ff2af769699ffe83dabd767ffbbd18ebf452351a9330c"}