{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:BJ37DGCMINYTDV4KTZUXVCK22U","short_pith_number":"pith:BJ37DGCM","schema_version":"1.0","canonical_sha256":"0a77f1984c437131d78a9e697a895ad519b7b1df5b0756a3171a08ea26426b1c","source":{"kind":"arxiv","id":"1506.07382","version":1},"attestation_state":"computed","paper":{"title":"Conformable Fractional Bessel Equation and Bessel Functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Ahmet G\\\"okdo\\u{g}an, Emrah \\\"Unal, Ercan \\c{C}elik","submitted_at":"2015-05-29T18:20:08Z","abstract_excerpt":"In this work, we study the fractional power series solutions around regular singular point x=0 of conformable fractional Bessel differential equation and fractional Bessel functions. Then, we compare fractional solutions with ordinary solutions. In addition, we present certain property of fractional Bessel functions."},"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":"1506.07382","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-05-29T18:20:08Z","cross_cats_sorted":[],"title_canon_sha256":"7fe706cb5b22563fec9a4063b991a3dd9b12220562733c59ea123e8295dd7db7","abstract_canon_sha256":"a79edd2bc375f252bdc8927417979e96ff1ba422e21f3cb3122d6ffe454c0047"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:54.217373Z","signature_b64":"irfGLIivDkGKnAIuwSAkqUe1jeIotUUknPqvxJwQx0N6/jKFuoJHCpKqfTNBXXfZ3fTSVkAKP1ilsXeJwcuEDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a77f1984c437131d78a9e697a895ad519b7b1df5b0756a3171a08ea26426b1c","last_reissued_at":"2026-05-18T01:39:54.216734Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:54.216734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conformable Fractional Bessel Equation and Bessel Functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Ahmet G\\\"okdo\\u{g}an, Emrah \\\"Unal, Ercan \\c{C}elik","submitted_at":"2015-05-29T18:20:08Z","abstract_excerpt":"In this work, we study the fractional power series solutions around regular singular point x=0 of conformable fractional Bessel differential equation and fractional Bessel functions. Then, we compare fractional solutions with ordinary solutions. In addition, we present certain property of fractional Bessel functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07382","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":"1506.07382","created_at":"2026-05-18T01:39:54.216805+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.07382v1","created_at":"2026-05-18T01:39:54.216805+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07382","created_at":"2026-05-18T01:39:54.216805+00:00"},{"alias_kind":"pith_short_12","alias_value":"BJ37DGCMINYT","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"BJ37DGCMINYTDV4K","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"BJ37DGCM","created_at":"2026-05-18T12:29:14.074870+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1907.03486","citing_title":"Remarks about the existence of conformable derivatives and some consequences","ref_index":14,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BJ37DGCMINYTDV4KTZUXVCK22U","json":"https://pith.science/pith/BJ37DGCMINYTDV4KTZUXVCK22U.json","graph_json":"https://pith.science/api/pith-number/BJ37DGCMINYTDV4KTZUXVCK22U/graph.json","events_json":"https://pith.science/api/pith-number/BJ37DGCMINYTDV4KTZUXVCK22U/events.json","paper":"https://pith.science/paper/BJ37DGCM"},"agent_actions":{"view_html":"https://pith.science/pith/BJ37DGCMINYTDV4KTZUXVCK22U","download_json":"https://pith.science/pith/BJ37DGCMINYTDV4KTZUXVCK22U.json","view_paper":"https://pith.science/paper/BJ37DGCM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.07382&json=true","fetch_graph":"https://pith.science/api/pith-number/BJ37DGCMINYTDV4KTZUXVCK22U/graph.json","fetch_events":"https://pith.science/api/pith-number/BJ37DGCMINYTDV4KTZUXVCK22U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BJ37DGCMINYTDV4KTZUXVCK22U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BJ37DGCMINYTDV4KTZUXVCK22U/action/storage_attestation","attest_author":"https://pith.science/pith/BJ37DGCMINYTDV4KTZUXVCK22U/action/author_attestation","sign_citation":"https://pith.science/pith/BJ37DGCMINYTDV4KTZUXVCK22U/action/citation_signature","submit_replication":"https://pith.science/pith/BJ37DGCMINYTDV4KTZUXVCK22U/action/replication_record"}},"created_at":"2026-05-18T01:39:54.216805+00:00","updated_at":"2026-05-18T01:39:54.216805+00:00"}