{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:XNNEZR3DHXDYQXGKZQHSOHJSVI","short_pith_number":"pith:XNNEZR3D","schema_version":"1.0","canonical_sha256":"bb5a4cc7633dc7885ccacc0f271d32aa251f5c4e2a312de076fe8a55effebb95","source":{"kind":"arxiv","id":"1308.2717","version":1},"attestation_state":"computed","paper":{"title":"Identification time-delayed fractional order chaos with functional extrema model via differential evolution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Fei Gao, Feng-Xia Fei, Heng-qing Tong, Xue-jing Lee","submitted_at":"2013-08-12T23:09:55Z","abstract_excerpt":"In this paper, a novel inversion mechanism of functional extrema model via the differential evolution algorithms(DE), is proposed to exactly identify time-delays fractional order chaos systems. With the functional extrema model, the unknown time-delays, systematic parameters and fractional-orders of the fractional chaos, are converted into independent variables of a non-negative multiple modal functions' minimization, as a particular case of the functional extrema model's minimization. And the objective of the model is to find their optimal combinations by DE in the predefined intervals, such "},"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":"1308.2717","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-08-12T23:09:55Z","cross_cats_sorted":[],"title_canon_sha256":"762bb14d5cbc6844e3c23ff74587e9195ee8340e5f71cb5c15a077dd46a88d13","abstract_canon_sha256":"8f3f3a7ede4f1960f197a7a145ad962d2adc2b23649dc7c8f255a101aa89ced9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:16:05.397707Z","signature_b64":"GXum7TDDdOXMOQiO1NiYWv+B4G8XSWcN+Z5vjqEvR+9o/njgUeT4h/j79pF7AFDNyivW0ytwHfr/cWwYNkV4DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb5a4cc7633dc7885ccacc0f271d32aa251f5c4e2a312de076fe8a55effebb95","last_reissued_at":"2026-05-18T03:16:05.397180Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:16:05.397180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Identification time-delayed fractional order chaos with functional extrema model via differential evolution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Fei Gao, Feng-Xia Fei, Heng-qing Tong, Xue-jing Lee","submitted_at":"2013-08-12T23:09:55Z","abstract_excerpt":"In this paper, a novel inversion mechanism of functional extrema model via the differential evolution algorithms(DE), is proposed to exactly identify time-delays fractional order chaos systems. With the functional extrema model, the unknown time-delays, systematic parameters and fractional-orders of the fractional chaos, are converted into independent variables of a non-negative multiple modal functions' minimization, as a particular case of the functional extrema model's minimization. And the objective of the model is to find their optimal combinations by DE in the predefined intervals, such "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.2717","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":"1308.2717","created_at":"2026-05-18T03:16:05.397248+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.2717v1","created_at":"2026-05-18T03:16:05.397248+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.2717","created_at":"2026-05-18T03:16:05.397248+00:00"},{"alias_kind":"pith_short_12","alias_value":"XNNEZR3DHXDY","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_16","alias_value":"XNNEZR3DHXDYQXGK","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_8","alias_value":"XNNEZR3D","created_at":"2026-05-18T12:28:06.772260+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/XNNEZR3DHXDYQXGKZQHSOHJSVI","json":"https://pith.science/pith/XNNEZR3DHXDYQXGKZQHSOHJSVI.json","graph_json":"https://pith.science/api/pith-number/XNNEZR3DHXDYQXGKZQHSOHJSVI/graph.json","events_json":"https://pith.science/api/pith-number/XNNEZR3DHXDYQXGKZQHSOHJSVI/events.json","paper":"https://pith.science/paper/XNNEZR3D"},"agent_actions":{"view_html":"https://pith.science/pith/XNNEZR3DHXDYQXGKZQHSOHJSVI","download_json":"https://pith.science/pith/XNNEZR3DHXDYQXGKZQHSOHJSVI.json","view_paper":"https://pith.science/paper/XNNEZR3D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.2717&json=true","fetch_graph":"https://pith.science/api/pith-number/XNNEZR3DHXDYQXGKZQHSOHJSVI/graph.json","fetch_events":"https://pith.science/api/pith-number/XNNEZR3DHXDYQXGKZQHSOHJSVI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XNNEZR3DHXDYQXGKZQHSOHJSVI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XNNEZR3DHXDYQXGKZQHSOHJSVI/action/storage_attestation","attest_author":"https://pith.science/pith/XNNEZR3DHXDYQXGKZQHSOHJSVI/action/author_attestation","sign_citation":"https://pith.science/pith/XNNEZR3DHXDYQXGKZQHSOHJSVI/action/citation_signature","submit_replication":"https://pith.science/pith/XNNEZR3DHXDYQXGKZQHSOHJSVI/action/replication_record"}},"created_at":"2026-05-18T03:16:05.397248+00:00","updated_at":"2026-05-18T03:16:05.397248+00:00"}