{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:AAWHL37B3B6B4XDZU4AL6RCXQJ","short_pith_number":"pith:AAWHL37B","schema_version":"1.0","canonical_sha256":"002c75efe1d87c1e5c79a700bf44578248b05827c0a1d3aed53306bb7c5a8ad0","source":{"kind":"arxiv","id":"1404.7169","version":4},"attestation_state":"computed","paper":{"title":"Revisiting the Complexity of Stability of Continuous and Hybrid Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC","cs.LO"],"primary_cat":"cs.SY","authors_text":"Edmund Clarke, Sicun Gao, Soonho Kong","submitted_at":"2014-04-28T21:14:45Z","abstract_excerpt":"We develop a framework to give upper bounds on the \"practical\" computational complexity of stability problems for a wide range of nonlinear continuous and hybrid systems. To do so, we describe stability properties of dynamical systems using first-order formulas over the real numbers, and reduce stability problems to the delta-decision problems of these formulas. The framework allows us to obtain a precise characterization of the complexity of different notions of stability for nonlinear continuous and hybrid systems. We prove that bounded versions of the stability problems are generally decida"},"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":"1404.7169","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-04-28T21:14:45Z","cross_cats_sorted":["cs.CC","cs.LO"],"title_canon_sha256":"cb2501eac2d05b44e39868569cdf086580229dbd20cdc6c23c9f7f6f88a47b41","abstract_canon_sha256":"21115ff819c45095fea7d6943f5104544d77abe3370f4bc9443ad87ca9f467e5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:30.970175Z","signature_b64":"EpEZN7yU5rts70qtmkzp8qYj3Ums1r1bD2NnSnjCZgIzzfy/eliMjSSvT7Sv9+yzYRwfJ3geCvG5yfDo7IYeCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"002c75efe1d87c1e5c79a700bf44578248b05827c0a1d3aed53306bb7c5a8ad0","last_reissued_at":"2026-05-18T02:50:30.969457Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:30.969457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Revisiting the Complexity of Stability of Continuous and Hybrid Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC","cs.LO"],"primary_cat":"cs.SY","authors_text":"Edmund Clarke, Sicun Gao, Soonho Kong","submitted_at":"2014-04-28T21:14:45Z","abstract_excerpt":"We develop a framework to give upper bounds on the \"practical\" computational complexity of stability problems for a wide range of nonlinear continuous and hybrid systems. To do so, we describe stability properties of dynamical systems using first-order formulas over the real numbers, and reduce stability problems to the delta-decision problems of these formulas. The framework allows us to obtain a precise characterization of the complexity of different notions of stability for nonlinear continuous and hybrid systems. We prove that bounded versions of the stability problems are generally decida"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7169","kind":"arxiv","version":4},"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":"1404.7169","created_at":"2026-05-18T02:50:30.969577+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.7169v4","created_at":"2026-05-18T02:50:30.969577+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7169","created_at":"2026-05-18T02:50:30.969577+00:00"},{"alias_kind":"pith_short_12","alias_value":"AAWHL37B3B6B","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_16","alias_value":"AAWHL37B3B6B4XDZ","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_8","alias_value":"AAWHL37B","created_at":"2026-05-18T12:28:19.803747+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/AAWHL37B3B6B4XDZU4AL6RCXQJ","json":"https://pith.science/pith/AAWHL37B3B6B4XDZU4AL6RCXQJ.json","graph_json":"https://pith.science/api/pith-number/AAWHL37B3B6B4XDZU4AL6RCXQJ/graph.json","events_json":"https://pith.science/api/pith-number/AAWHL37B3B6B4XDZU4AL6RCXQJ/events.json","paper":"https://pith.science/paper/AAWHL37B"},"agent_actions":{"view_html":"https://pith.science/pith/AAWHL37B3B6B4XDZU4AL6RCXQJ","download_json":"https://pith.science/pith/AAWHL37B3B6B4XDZU4AL6RCXQJ.json","view_paper":"https://pith.science/paper/AAWHL37B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.7169&json=true","fetch_graph":"https://pith.science/api/pith-number/AAWHL37B3B6B4XDZU4AL6RCXQJ/graph.json","fetch_events":"https://pith.science/api/pith-number/AAWHL37B3B6B4XDZU4AL6RCXQJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AAWHL37B3B6B4XDZU4AL6RCXQJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AAWHL37B3B6B4XDZU4AL6RCXQJ/action/storage_attestation","attest_author":"https://pith.science/pith/AAWHL37B3B6B4XDZU4AL6RCXQJ/action/author_attestation","sign_citation":"https://pith.science/pith/AAWHL37B3B6B4XDZU4AL6RCXQJ/action/citation_signature","submit_replication":"https://pith.science/pith/AAWHL37B3B6B4XDZU4AL6RCXQJ/action/replication_record"}},"created_at":"2026-05-18T02:50:30.969577+00:00","updated_at":"2026-05-18T02:50:30.969577+00:00"}