{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:VOFDRHTWNQOTQ6N62RK3FYRGIO","short_pith_number":"pith:VOFDRHTW","schema_version":"1.0","canonical_sha256":"ab8a389e766c1d3879bed455b2e2264384961f6df21b5838f0510dff14a9764d","source":{"kind":"arxiv","id":"1703.09104","version":1},"attestation_state":"computed","paper":{"title":"Fractional Herglotz variational problems of variable order","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Delfim F. M. Torres, Dina Tavares, Ricardo Almeida","submitted_at":"2017-03-27T14:29:19Z","abstract_excerpt":"We study fractional variational problems of Herglotz type of variable order. Necessary optimality conditions, described by fractional differential equations depending on a combined Caputo fractional derivative of variable order, are proved. Two different cases are considered: the fundamental problem, with one independent variable, and the general case, with several independent variables. We end with some illustrative examples of the results of the paper."},"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":"1703.09104","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-03-27T14:29:19Z","cross_cats_sorted":[],"title_canon_sha256":"64b5cc6b0807d0a48ee7febe31b6ba710b2db8c75bc22c7f8e121ed205e030de","abstract_canon_sha256":"0622c04a0ec240b543a55aa9004dc963655648a76587c53a0e41d6f82c7c8746"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:06.740753Z","signature_b64":"m4a0NJEU7lzrGsxqX3fAa4k/Vu3LTlolWigF4Tn/K5V9mj6TCMb9AUxXb6JZRemsoZ6s/o1iH/+oJZfMcLWEDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab8a389e766c1d3879bed455b2e2264384961f6df21b5838f0510dff14a9764d","last_reissued_at":"2026-05-18T00:33:06.740207Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:06.740207Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fractional Herglotz variational problems of variable order","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Delfim F. M. Torres, Dina Tavares, Ricardo Almeida","submitted_at":"2017-03-27T14:29:19Z","abstract_excerpt":"We study fractional variational problems of Herglotz type of variable order. Necessary optimality conditions, described by fractional differential equations depending on a combined Caputo fractional derivative of variable order, are proved. Two different cases are considered: the fundamental problem, with one independent variable, and the general case, with several independent variables. We end with some illustrative examples of the results of the paper."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.09104","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":"1703.09104","created_at":"2026-05-18T00:33:06.740289+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.09104v1","created_at":"2026-05-18T00:33:06.740289+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.09104","created_at":"2026-05-18T00:33:06.740289+00:00"},{"alias_kind":"pith_short_12","alias_value":"VOFDRHTWNQOT","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_16","alias_value":"VOFDRHTWNQOTQ6N6","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_8","alias_value":"VOFDRHTW","created_at":"2026-05-18T12:31:49.984773+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/VOFDRHTWNQOTQ6N62RK3FYRGIO","json":"https://pith.science/pith/VOFDRHTWNQOTQ6N62RK3FYRGIO.json","graph_json":"https://pith.science/api/pith-number/VOFDRHTWNQOTQ6N62RK3FYRGIO/graph.json","events_json":"https://pith.science/api/pith-number/VOFDRHTWNQOTQ6N62RK3FYRGIO/events.json","paper":"https://pith.science/paper/VOFDRHTW"},"agent_actions":{"view_html":"https://pith.science/pith/VOFDRHTWNQOTQ6N62RK3FYRGIO","download_json":"https://pith.science/pith/VOFDRHTWNQOTQ6N62RK3FYRGIO.json","view_paper":"https://pith.science/paper/VOFDRHTW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.09104&json=true","fetch_graph":"https://pith.science/api/pith-number/VOFDRHTWNQOTQ6N62RK3FYRGIO/graph.json","fetch_events":"https://pith.science/api/pith-number/VOFDRHTWNQOTQ6N62RK3FYRGIO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VOFDRHTWNQOTQ6N62RK3FYRGIO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VOFDRHTWNQOTQ6N62RK3FYRGIO/action/storage_attestation","attest_author":"https://pith.science/pith/VOFDRHTWNQOTQ6N62RK3FYRGIO/action/author_attestation","sign_citation":"https://pith.science/pith/VOFDRHTWNQOTQ6N62RK3FYRGIO/action/citation_signature","submit_replication":"https://pith.science/pith/VOFDRHTWNQOTQ6N62RK3FYRGIO/action/replication_record"}},"created_at":"2026-05-18T00:33:06.740289+00:00","updated_at":"2026-05-18T00:33:06.740289+00:00"}