{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:IJX6ZSVGEVC77KT2ON3DR65M3L","short_pith_number":"pith:IJX6ZSVG","schema_version":"1.0","canonical_sha256":"426feccaa62545ffaa7a737638fbacdaf1cd40c4ff49d63ceb24e212a6ba15be","source":{"kind":"arxiv","id":"1209.1566","version":1},"attestation_state":"computed","paper":{"title":"Inversion mechanism of uncertain orders and parameters for the non-commensurate and hyper fractional order chaotic systems 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, Qian Xu, Yan-Fang Deng, Yi-Bo Qi","submitted_at":"2012-09-07T15:17:48Z","abstract_excerpt":"In this paper, a novel uncertain fractional-orders and parameters' inversion mechanism via the differential evolution algorithms (DE) with a general mathematical model is proposed for non-commensurate and hyper fractional chaotic systems. The problems of fractional-order chaos' inversion estimation are converted into multiple modal non-negative objective functions' minimization, which takes fractional-orders and parameters as its particular independent variables. And the objective is to find optimal combinations of fractional-orders and systematic parameters by DE in the predefined intervals f"},"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":"1209.1566","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-09-07T15:17:48Z","cross_cats_sorted":[],"title_canon_sha256":"d661f7de5ad2db77116714fcdf4e052c8bfa0c9b7e121bdb6c73f04256930f9c","abstract_canon_sha256":"d8f0ce9d00852e843f73e635b08540de289de6d28bf0c388413b983598776f30"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:46:04.479111Z","signature_b64":"E/6oD2egEambzGCwT9AfRTIUvSB4L+JWgsBw1cK95vGLT3zyXWW9ZXXzjmBDAR6vYyWZNmMW/3ffecfeZqytAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"426feccaa62545ffaa7a737638fbacdaf1cd40c4ff49d63ceb24e212a6ba15be","last_reissued_at":"2026-05-18T03:46:04.478443Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:46:04.478443Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Inversion mechanism of uncertain orders and parameters for the non-commensurate and hyper fractional order chaotic systems 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, Qian Xu, Yan-Fang Deng, Yi-Bo Qi","submitted_at":"2012-09-07T15:17:48Z","abstract_excerpt":"In this paper, a novel uncertain fractional-orders and parameters' inversion mechanism via the differential evolution algorithms (DE) with a general mathematical model is proposed for non-commensurate and hyper fractional chaotic systems. The problems of fractional-order chaos' inversion estimation are converted into multiple modal non-negative objective functions' minimization, which takes fractional-orders and parameters as its particular independent variables. And the objective is to find optimal combinations of fractional-orders and systematic parameters by DE in the predefined intervals f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.1566","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":"1209.1566","created_at":"2026-05-18T03:46:04.478578+00:00"},{"alias_kind":"arxiv_version","alias_value":"1209.1566v1","created_at":"2026-05-18T03:46:04.478578+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.1566","created_at":"2026-05-18T03:46:04.478578+00:00"},{"alias_kind":"pith_short_12","alias_value":"IJX6ZSVGEVC7","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_16","alias_value":"IJX6ZSVGEVC77KT2","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_8","alias_value":"IJX6ZSVG","created_at":"2026-05-18T12:27:09.501522+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/IJX6ZSVGEVC77KT2ON3DR65M3L","json":"https://pith.science/pith/IJX6ZSVGEVC77KT2ON3DR65M3L.json","graph_json":"https://pith.science/api/pith-number/IJX6ZSVGEVC77KT2ON3DR65M3L/graph.json","events_json":"https://pith.science/api/pith-number/IJX6ZSVGEVC77KT2ON3DR65M3L/events.json","paper":"https://pith.science/paper/IJX6ZSVG"},"agent_actions":{"view_html":"https://pith.science/pith/IJX6ZSVGEVC77KT2ON3DR65M3L","download_json":"https://pith.science/pith/IJX6ZSVGEVC77KT2ON3DR65M3L.json","view_paper":"https://pith.science/paper/IJX6ZSVG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1209.1566&json=true","fetch_graph":"https://pith.science/api/pith-number/IJX6ZSVGEVC77KT2ON3DR65M3L/graph.json","fetch_events":"https://pith.science/api/pith-number/IJX6ZSVGEVC77KT2ON3DR65M3L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IJX6ZSVGEVC77KT2ON3DR65M3L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IJX6ZSVGEVC77KT2ON3DR65M3L/action/storage_attestation","attest_author":"https://pith.science/pith/IJX6ZSVGEVC77KT2ON3DR65M3L/action/author_attestation","sign_citation":"https://pith.science/pith/IJX6ZSVGEVC77KT2ON3DR65M3L/action/citation_signature","submit_replication":"https://pith.science/pith/IJX6ZSVGEVC77KT2ON3DR65M3L/action/replication_record"}},"created_at":"2026-05-18T03:46:04.478578+00:00","updated_at":"2026-05-18T03:46:04.478578+00:00"}