{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:7QNU7BKJ3LQF2T3IBQUK6SVF7K","short_pith_number":"pith:7QNU7BKJ","schema_version":"1.0","canonical_sha256":"fc1b4f8549dae05d4f680c28af4aa5fabb02e3281e0cf0e4dbb63a272ac472b1","source":{"kind":"arxiv","id":"1103.1233","version":1},"attestation_state":"computed","paper":{"title":"Approach of a class of discontinuous dynamical systems of fractional order: existence of the solutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Marius-F. Danca","submitted_at":"2011-03-07T10:47:18Z","abstract_excerpt":"In this letter we are concerned with the possibility to approach the existence of solutions to a class of discontinuous dynamical systems of fractional order. In this purpose, the underlying initial value problem is transformed into a fractional set-valued problem. Next, the Cellina's Theorem is applied leading to a single-valued continuous initial value problem of fractional order. The existence of solutions is assured by a P\\'{e}ano like theorem for ordinary differential equations of fractional order."},"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":"1103.1233","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-03-07T10:47:18Z","cross_cats_sorted":[],"title_canon_sha256":"c7ea643c6be76c7d904a4b7849774e09bcbce1b8cbbc1b56ed7be1c951f8ebe9","abstract_canon_sha256":"daea4e45a8a681911129c0761a3e43d40eaf0b91219f7947b379177f5431220e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:02:58.969906Z","signature_b64":"OhDv0qLSFFOwQ61gyJYLDhx23cTM9qks4tpOwXdNclZr3O3oT1ej3cwmJvWTjoHpdTNUjjpMZxtbmXbPqrJ/BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc1b4f8549dae05d4f680c28af4aa5fabb02e3281e0cf0e4dbb63a272ac472b1","last_reissued_at":"2026-05-18T02:02:58.969259Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:02:58.969259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Approach of a class of discontinuous dynamical systems of fractional order: existence of the solutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Marius-F. Danca","submitted_at":"2011-03-07T10:47:18Z","abstract_excerpt":"In this letter we are concerned with the possibility to approach the existence of solutions to a class of discontinuous dynamical systems of fractional order. In this purpose, the underlying initial value problem is transformed into a fractional set-valued problem. Next, the Cellina's Theorem is applied leading to a single-valued continuous initial value problem of fractional order. The existence of solutions is assured by a P\\'{e}ano like theorem for ordinary differential equations of fractional order."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.1233","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":"1103.1233","created_at":"2026-05-18T02:02:58.969368+00:00"},{"alias_kind":"arxiv_version","alias_value":"1103.1233v1","created_at":"2026-05-18T02:02:58.969368+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.1233","created_at":"2026-05-18T02:02:58.969368+00:00"},{"alias_kind":"pith_short_12","alias_value":"7QNU7BKJ3LQF","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_16","alias_value":"7QNU7BKJ3LQF2T3I","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_8","alias_value":"7QNU7BKJ","created_at":"2026-05-18T12:26:22.705136+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/7QNU7BKJ3LQF2T3IBQUK6SVF7K","json":"https://pith.science/pith/7QNU7BKJ3LQF2T3IBQUK6SVF7K.json","graph_json":"https://pith.science/api/pith-number/7QNU7BKJ3LQF2T3IBQUK6SVF7K/graph.json","events_json":"https://pith.science/api/pith-number/7QNU7BKJ3LQF2T3IBQUK6SVF7K/events.json","paper":"https://pith.science/paper/7QNU7BKJ"},"agent_actions":{"view_html":"https://pith.science/pith/7QNU7BKJ3LQF2T3IBQUK6SVF7K","download_json":"https://pith.science/pith/7QNU7BKJ3LQF2T3IBQUK6SVF7K.json","view_paper":"https://pith.science/paper/7QNU7BKJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1103.1233&json=true","fetch_graph":"https://pith.science/api/pith-number/7QNU7BKJ3LQF2T3IBQUK6SVF7K/graph.json","fetch_events":"https://pith.science/api/pith-number/7QNU7BKJ3LQF2T3IBQUK6SVF7K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7QNU7BKJ3LQF2T3IBQUK6SVF7K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7QNU7BKJ3LQF2T3IBQUK6SVF7K/action/storage_attestation","attest_author":"https://pith.science/pith/7QNU7BKJ3LQF2T3IBQUK6SVF7K/action/author_attestation","sign_citation":"https://pith.science/pith/7QNU7BKJ3LQF2T3IBQUK6SVF7K/action/citation_signature","submit_replication":"https://pith.science/pith/7QNU7BKJ3LQF2T3IBQUK6SVF7K/action/replication_record"}},"created_at":"2026-05-18T02:02:58.969368+00:00","updated_at":"2026-05-18T02:02:58.969368+00:00"}