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Upon setting $k=0$ in such a pair we obtain a \\emph{Bailey pair}. In the present paper we consider the problem of \"lifting\" a Bailey pair to a WP-Bailey pair, and use some of the new WP-Bailey pairs found in this way to derive some new identities between basic hypergeometric series and new single sum- and double sum identities of the Rogers-Ramanujan-Sla"},"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":"1901.04841","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-01-04T01:23:13Z","cross_cats_sorted":[],"title_canon_sha256":"f4184a7b14db2869e7fe627bf6bf92552e5e82a8ec58eded184efdfb8328a5bb","abstract_canon_sha256":"0d7fec6d32925a861bd6b2f376dae71a8ab26afa23b7d177327145a66cc477bf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:21.555057Z","signature_b64":"Auw/B6tBzr6MBKPN0VeY8CRuWCptsg3DKqSikoIUW8sRy9Bx2JqwGSsrXNP5Zfvm4RsGeS6PQvFPeqYgoRXUAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"891095ee78bb8897b94d165282d70f83309c9fb5c4b2698c5e6cf03ad64c372b","last_reissued_at":"2026-05-17T23:56:21.554398Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:21.554398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lifting Bailey Pairs to WP-Bailey Pairs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Andrew V. 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In the present paper we consider the problem of \"lifting\" a Bailey pair to a WP-Bailey pair, and use some of the new WP-Bailey pairs found in this way to derive some new identities between basic hypergeometric series and new single sum- and double sum identities of the Rogers-Ramanujan-Sla"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.04841","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":"1901.04841","created_at":"2026-05-17T23:56:21.554511+00:00"},{"alias_kind":"arxiv_version","alias_value":"1901.04841v1","created_at":"2026-05-17T23:56:21.554511+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.04841","created_at":"2026-05-17T23:56:21.554511+00:00"},{"alias_kind":"pith_short_12","alias_value":"REIJL3TYXOEJ","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_16","alias_value":"REIJL3TYXOEJPOKN","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_8","alias_value":"REIJL3TY","created_at":"2026-05-18T12:33:27.125529+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/REIJL3TYXOEJPOKNCZJIFVYPQM","json":"https://pith.science/pith/REIJL3TYXOEJPOKNCZJIFVYPQM.json","graph_json":"https://pith.science/api/pith-number/REIJL3TYXOEJPOKNCZJIFVYPQM/graph.json","events_json":"https://pith.science/api/pith-number/REIJL3TYXOEJPOKNCZJIFVYPQM/events.json","paper":"https://pith.science/paper/REIJL3TY"},"agent_actions":{"view_html":"https://pith.science/pith/REIJL3TYXOEJPOKNCZJIFVYPQM","download_json":"https://pith.science/pith/REIJL3TYXOEJPOKNCZJIFVYPQM.json","view_paper":"https://pith.science/paper/REIJL3TY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1901.04841&json=true","fetch_graph":"https://pith.science/api/pith-number/REIJL3TYXOEJPOKNCZJIFVYPQM/graph.json","fetch_events":"https://pith.science/api/pith-number/REIJL3TYXOEJPOKNCZJIFVYPQM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/REIJL3TYXOEJPOKNCZJIFVYPQM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/REIJL3TYXOEJPOKNCZJIFVYPQM/action/storage_attestation","attest_author":"https://pith.science/pith/REIJL3TYXOEJPOKNCZJIFVYPQM/action/author_attestation","sign_citation":"https://pith.science/pith/REIJL3TYXOEJPOKNCZJIFVYPQM/action/citation_signature","submit_replication":"https://pith.science/pith/REIJL3TYXOEJPOKNCZJIFVYPQM/action/replication_record"}},"created_at":"2026-05-17T23:56:21.554511+00:00","updated_at":"2026-05-17T23:56:21.554511+00:00"}