{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:WLJMV7FXEZ7YZUJLFTV7GNOOZF","short_pith_number":"pith:WLJMV7FX","schema_version":"1.0","canonical_sha256":"b2d2cafcb7267f8cd12b2cebf335cec95fe874c7f807c8b9623c68b4f163eb79","source":{"kind":"arxiv","id":"1907.00655","version":1},"attestation_state":"computed","paper":{"title":"An entropy-based bound for the computational complexity of a switched system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Beno\\^it Legat, Pablo A. Parrilo, Rapha\\\"el M. Jungers","submitted_at":"2019-07-01T11:00:32Z","abstract_excerpt":"The joint spectral radius (JSR) of a set of matrices characterizes the maximal asymptotic growth rate of an infinite product of matrices of the set. This quantity appears in a number of applications including the stability of switched and hybrid systems. A popular method used for the stability analysis of these systems searches for a Lyapunov function with convex optimization tools. We analyse the accuracy of this method for constrained switched systems, a class of systems that has attracted increasing attention recently. We provide a new guarantee for the upper bound provided by the sum of sq"},"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":"1907.00655","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-07-01T11:00:32Z","cross_cats_sorted":[],"title_canon_sha256":"a9e3537b66d5e88b7952cd095113e4effbccedd35461be7635bb41f4249fd502","abstract_canon_sha256":"07b8c86c65db577769c29df7ff482a2c925790e385fe644bd1d3cf5dc852951a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:41.601661Z","signature_b64":"OVKgUHC17LXLhVJBAEQ/6Gc4qgnpstwbt+UF8yW444rK/C2GlsH54zB6fVMLT2NiIaM3j5laCmbzYEEyvxRyCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b2d2cafcb7267f8cd12b2cebf335cec95fe874c7f807c8b9623c68b4f163eb79","last_reissued_at":"2026-05-17T23:41:41.601094Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:41.601094Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An entropy-based bound for the computational complexity of a switched system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Beno\\^it Legat, Pablo A. Parrilo, Rapha\\\"el M. Jungers","submitted_at":"2019-07-01T11:00:32Z","abstract_excerpt":"The joint spectral radius (JSR) of a set of matrices characterizes the maximal asymptotic growth rate of an infinite product of matrices of the set. This quantity appears in a number of applications including the stability of switched and hybrid systems. A popular method used for the stability analysis of these systems searches for a Lyapunov function with convex optimization tools. We analyse the accuracy of this method for constrained switched systems, a class of systems that has attracted increasing attention recently. We provide a new guarantee for the upper bound provided by the sum of sq"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.00655","kind":"arxiv","version":1},"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":"1907.00655","created_at":"2026-05-17T23:41:41.601205+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.00655v1","created_at":"2026-05-17T23:41:41.601205+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.00655","created_at":"2026-05-17T23:41:41.601205+00:00"},{"alias_kind":"pith_short_12","alias_value":"WLJMV7FXEZ7Y","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_16","alias_value":"WLJMV7FXEZ7YZUJL","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_8","alias_value":"WLJMV7FX","created_at":"2026-05-18T12:33:30.264802+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/WLJMV7FXEZ7YZUJLFTV7GNOOZF","json":"https://pith.science/pith/WLJMV7FXEZ7YZUJLFTV7GNOOZF.json","graph_json":"https://pith.science/api/pith-number/WLJMV7FXEZ7YZUJLFTV7GNOOZF/graph.json","events_json":"https://pith.science/api/pith-number/WLJMV7FXEZ7YZUJLFTV7GNOOZF/events.json","paper":"https://pith.science/paper/WLJMV7FX"},"agent_actions":{"view_html":"https://pith.science/pith/WLJMV7FXEZ7YZUJLFTV7GNOOZF","download_json":"https://pith.science/pith/WLJMV7FXEZ7YZUJLFTV7GNOOZF.json","view_paper":"https://pith.science/paper/WLJMV7FX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.00655&json=true","fetch_graph":"https://pith.science/api/pith-number/WLJMV7FXEZ7YZUJLFTV7GNOOZF/graph.json","fetch_events":"https://pith.science/api/pith-number/WLJMV7FXEZ7YZUJLFTV7GNOOZF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WLJMV7FXEZ7YZUJLFTV7GNOOZF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WLJMV7FXEZ7YZUJLFTV7GNOOZF/action/storage_attestation","attest_author":"https://pith.science/pith/WLJMV7FXEZ7YZUJLFTV7GNOOZF/action/author_attestation","sign_citation":"https://pith.science/pith/WLJMV7FXEZ7YZUJLFTV7GNOOZF/action/citation_signature","submit_replication":"https://pith.science/pith/WLJMV7FXEZ7YZUJLFTV7GNOOZF/action/replication_record"}},"created_at":"2026-05-17T23:41:41.601205+00:00","updated_at":"2026-05-17T23:41:41.601205+00:00"}