{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:JFBPWATJSLSSNNYF46SKMBJV62","short_pith_number":"pith:JFBPWATJ","schema_version":"1.0","canonical_sha256":"4942fb026992e526b705e7a4a60535f6862706c02aafcb09f24c95f96dba6bc0","source":{"kind":"arxiv","id":"1507.05567","version":1},"attestation_state":"computed","paper":{"title":"On quasi-periodicity properties of fractional integrals and fractional derivatives of periodic functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Iv\\'an Area, Jorge Losada, Juan J. Nieto","submitted_at":"2015-07-20T17:39:15Z","abstract_excerpt":"This paper is devoted to the study of quasi-periodic properties of fractional order integrals and derivatives of periodic functions. Considering Riemann-Liouville and Caputo definitions, we discuss when the fractional derivative and when the fractional integral of a certain class of periodic functions satisfies particular properties. We study concepts close to the well known idea of periodic function, such as S-asymptotically periodic, asymptotically periodic or almost periodic function. Boundedness of fractional derivative and fractional integral of a periodic function is also studied."},"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":"1507.05567","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-07-20T17:39:15Z","cross_cats_sorted":[],"title_canon_sha256":"db1b228c95c1ea083dbdb62e08fa1f525288d21d9978b93101ad98965967d14e","abstract_canon_sha256":"027f6a0aee6ee6419d6d1e7ca1def396094549e5efb12b38774e9f6ccd620c1b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:36.490672Z","signature_b64":"R5zUzVWuGmjbfMIT3ynar+ew/JXAjuxwZRSmtPrxSLf4T2w33Qgab8QmRATQP8qvgxExYOkBMOLA3Em0y10rBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4942fb026992e526b705e7a4a60535f6862706c02aafcb09f24c95f96dba6bc0","last_reissued_at":"2026-05-18T01:36:36.490100Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:36.490100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On quasi-periodicity properties of fractional integrals and fractional derivatives of periodic functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Iv\\'an Area, Jorge Losada, Juan J. Nieto","submitted_at":"2015-07-20T17:39:15Z","abstract_excerpt":"This paper is devoted to the study of quasi-periodic properties of fractional order integrals and derivatives of periodic functions. Considering Riemann-Liouville and Caputo definitions, we discuss when the fractional derivative and when the fractional integral of a certain class of periodic functions satisfies particular properties. We study concepts close to the well known idea of periodic function, such as S-asymptotically periodic, asymptotically periodic or almost periodic function. Boundedness of fractional derivative and fractional integral of a periodic function is also studied."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.05567","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":"1507.05567","created_at":"2026-05-18T01:36:36.490196+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.05567v1","created_at":"2026-05-18T01:36:36.490196+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.05567","created_at":"2026-05-18T01:36:36.490196+00:00"},{"alias_kind":"pith_short_12","alias_value":"JFBPWATJSLSS","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_16","alias_value":"JFBPWATJSLSSNNYF","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_8","alias_value":"JFBPWATJ","created_at":"2026-05-18T12:29:27.538025+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/JFBPWATJSLSSNNYF46SKMBJV62","json":"https://pith.science/pith/JFBPWATJSLSSNNYF46SKMBJV62.json","graph_json":"https://pith.science/api/pith-number/JFBPWATJSLSSNNYF46SKMBJV62/graph.json","events_json":"https://pith.science/api/pith-number/JFBPWATJSLSSNNYF46SKMBJV62/events.json","paper":"https://pith.science/paper/JFBPWATJ"},"agent_actions":{"view_html":"https://pith.science/pith/JFBPWATJSLSSNNYF46SKMBJV62","download_json":"https://pith.science/pith/JFBPWATJSLSSNNYF46SKMBJV62.json","view_paper":"https://pith.science/paper/JFBPWATJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.05567&json=true","fetch_graph":"https://pith.science/api/pith-number/JFBPWATJSLSSNNYF46SKMBJV62/graph.json","fetch_events":"https://pith.science/api/pith-number/JFBPWATJSLSSNNYF46SKMBJV62/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JFBPWATJSLSSNNYF46SKMBJV62/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JFBPWATJSLSSNNYF46SKMBJV62/action/storage_attestation","attest_author":"https://pith.science/pith/JFBPWATJSLSSNNYF46SKMBJV62/action/author_attestation","sign_citation":"https://pith.science/pith/JFBPWATJSLSSNNYF46SKMBJV62/action/citation_signature","submit_replication":"https://pith.science/pith/JFBPWATJSLSSNNYF46SKMBJV62/action/replication_record"}},"created_at":"2026-05-18T01:36:36.490196+00:00","updated_at":"2026-05-18T01:36:36.490196+00:00"}