{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:CDFL377VCPHTRYDUQ3F4JSNQZ5","short_pith_number":"pith:CDFL377V","schema_version":"1.0","canonical_sha256":"10cabdfff513cf38e07486cbc4c9b0cf400126954562f580c8c7ae546762e669","source":{"kind":"arxiv","id":"1407.6477","version":1},"attestation_state":"computed","paper":{"title":"Hybrid Systems and Control With Fractional Dynamics (I): Modeling and Analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.AO"],"primary_cat":"cs.SY","authors_text":"Blas M. Vinagre, Ines Tejado, S. Hassan HosseinNia","submitted_at":"2014-07-24T08:06:52Z","abstract_excerpt":"No mixed research of hybrid and fractional-order systems into a cohesive and multifaceted whole can be found in the literature. This paper focuses on such a synergistic approach of the theories of both branches, which is believed to give additional flexibility and help to the system designer. It is part I of two companion papers and introduces the fundamentals of fractional-order hybrid systems, in particular, modeling and stability analysis of two kinds of such systems, i.e., fractional-order switching and reset control systems. Some examples are given to illustrate the applicability and effe"},"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":"1407.6477","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-07-24T08:06:52Z","cross_cats_sorted":["nlin.AO"],"title_canon_sha256":"3767b8bb9a62344ec94266e916b50f02affa40a723bfa5150170ef56453868ed","abstract_canon_sha256":"0aa27489c080b3a6cd5541d3c9e77cd4f4546d3b7f5c8717d6b1fefd5f0a5482"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:46:38.653509Z","signature_b64":"ObFspAdSB+TCUxA/Udh3/xUOqZVjYVvkqVe1XuBV1sd+0V5JBHBJLYa6rKrlmvvwCS9S7rbrdJ7itEa4l1I/Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"10cabdfff513cf38e07486cbc4c9b0cf400126954562f580c8c7ae546762e669","last_reissued_at":"2026-05-18T02:46:38.653111Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:46:38.653111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hybrid Systems and Control With Fractional Dynamics (I): Modeling and Analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.AO"],"primary_cat":"cs.SY","authors_text":"Blas M. Vinagre, Ines Tejado, S. Hassan HosseinNia","submitted_at":"2014-07-24T08:06:52Z","abstract_excerpt":"No mixed research of hybrid and fractional-order systems into a cohesive and multifaceted whole can be found in the literature. This paper focuses on such a synergistic approach of the theories of both branches, which is believed to give additional flexibility and help to the system designer. It is part I of two companion papers and introduces the fundamentals of fractional-order hybrid systems, in particular, modeling and stability analysis of two kinds of such systems, i.e., fractional-order switching and reset control systems. Some examples are given to illustrate the applicability and effe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.6477","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":"1407.6477","created_at":"2026-05-18T02:46:38.653177+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.6477v1","created_at":"2026-05-18T02:46:38.653177+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.6477","created_at":"2026-05-18T02:46:38.653177+00:00"},{"alias_kind":"pith_short_12","alias_value":"CDFL377VCPHT","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_16","alias_value":"CDFL377VCPHTRYDU","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_8","alias_value":"CDFL377V","created_at":"2026-05-18T12:28:22.404517+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/CDFL377VCPHTRYDUQ3F4JSNQZ5","json":"https://pith.science/pith/CDFL377VCPHTRYDUQ3F4JSNQZ5.json","graph_json":"https://pith.science/api/pith-number/CDFL377VCPHTRYDUQ3F4JSNQZ5/graph.json","events_json":"https://pith.science/api/pith-number/CDFL377VCPHTRYDUQ3F4JSNQZ5/events.json","paper":"https://pith.science/paper/CDFL377V"},"agent_actions":{"view_html":"https://pith.science/pith/CDFL377VCPHTRYDUQ3F4JSNQZ5","download_json":"https://pith.science/pith/CDFL377VCPHTRYDUQ3F4JSNQZ5.json","view_paper":"https://pith.science/paper/CDFL377V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.6477&json=true","fetch_graph":"https://pith.science/api/pith-number/CDFL377VCPHTRYDUQ3F4JSNQZ5/graph.json","fetch_events":"https://pith.science/api/pith-number/CDFL377VCPHTRYDUQ3F4JSNQZ5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CDFL377VCPHTRYDUQ3F4JSNQZ5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CDFL377VCPHTRYDUQ3F4JSNQZ5/action/storage_attestation","attest_author":"https://pith.science/pith/CDFL377VCPHTRYDUQ3F4JSNQZ5/action/author_attestation","sign_citation":"https://pith.science/pith/CDFL377VCPHTRYDUQ3F4JSNQZ5/action/citation_signature","submit_replication":"https://pith.science/pith/CDFL377VCPHTRYDUQ3F4JSNQZ5/action/replication_record"}},"created_at":"2026-05-18T02:46:38.653177+00:00","updated_at":"2026-05-18T02:46:38.653177+00:00"}