{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:L7YFL75LOERFCLCQZ2M5LY7ENS","short_pith_number":"pith:L7YFL75L","schema_version":"1.0","canonical_sha256":"5ff055ffab7122512c50ce99d5e3e46c9ae4be10485af58b9f0f4a8e5316b6a3","source":{"kind":"arxiv","id":"1906.11991","version":1},"attestation_state":"computed","paper":{"title":"Applications of the Heine and Bauer-Muir transformations to Rogers-Ramanujan type continued fractions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Jaebum Sohn, James Mc Laughlin, Jongsil Lee","submitted_at":"2019-06-27T23:27:00Z","abstract_excerpt":"In this paper we show that various continued fractions for the quotient of general Ramanujan functions $G(aq,b,\\l q)/G(a,b,\\l)$ may be derived from each other via Bauer-Muir transformations. The separate convergence of numerators and denominators play a key part in showing that the continued fractions and their Bauer-Muir transformations converge to the same limit.\n  We also show that these continued fractions may be derived from Heine's continued fraction for a ratio of $_2\\phi_1$ functions and other continued fractions of a similar type, and by this method derive a new continued fraction for"},"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":"1906.11991","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-06-27T23:27:00Z","cross_cats_sorted":[],"title_canon_sha256":"7b6f59f2c81d4734257514bd1edf657ffd208c1199583882a04aa7d5488ff53c","abstract_canon_sha256":"80f49a90cb614abb6beae8a3dc6bc83b7a4b7616e0b623453e1ee2402594ca66"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:59.599655Z","signature_b64":"+n9bjPF6iKH5nm+uboofSeYHn7vjHmixXBlQgus1VG9vPPT7rvPEGFpUqjRAi+vGP0hN+yYEyWyduZc/KaKZBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ff055ffab7122512c50ce99d5e3e46c9ae4be10485af58b9f0f4a8e5316b6a3","last_reissued_at":"2026-05-17T23:41:59.599230Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:59.599230Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Applications of the Heine and Bauer-Muir transformations to Rogers-Ramanujan type continued fractions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Jaebum Sohn, James Mc Laughlin, Jongsil Lee","submitted_at":"2019-06-27T23:27:00Z","abstract_excerpt":"In this paper we show that various continued fractions for the quotient of general Ramanujan functions $G(aq,b,\\l q)/G(a,b,\\l)$ may be derived from each other via Bauer-Muir transformations. The separate convergence of numerators and denominators play a key part in showing that the continued fractions and their Bauer-Muir transformations converge to the same limit.\n  We also show that these continued fractions may be derived from Heine's continued fraction for a ratio of $_2\\phi_1$ functions and other continued fractions of a similar type, and by this method derive a new continued fraction for"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.11991","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":"1906.11991","created_at":"2026-05-17T23:41:59.599289+00:00"},{"alias_kind":"arxiv_version","alias_value":"1906.11991v1","created_at":"2026-05-17T23:41:59.599289+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.11991","created_at":"2026-05-17T23:41:59.599289+00:00"},{"alias_kind":"pith_short_12","alias_value":"L7YFL75LOERF","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_16","alias_value":"L7YFL75LOERFCLCQ","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_8","alias_value":"L7YFL75L","created_at":"2026-05-18T12:33:21.387695+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/L7YFL75LOERFCLCQZ2M5LY7ENS","json":"https://pith.science/pith/L7YFL75LOERFCLCQZ2M5LY7ENS.json","graph_json":"https://pith.science/api/pith-number/L7YFL75LOERFCLCQZ2M5LY7ENS/graph.json","events_json":"https://pith.science/api/pith-number/L7YFL75LOERFCLCQZ2M5LY7ENS/events.json","paper":"https://pith.science/paper/L7YFL75L"},"agent_actions":{"view_html":"https://pith.science/pith/L7YFL75LOERFCLCQZ2M5LY7ENS","download_json":"https://pith.science/pith/L7YFL75LOERFCLCQZ2M5LY7ENS.json","view_paper":"https://pith.science/paper/L7YFL75L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1906.11991&json=true","fetch_graph":"https://pith.science/api/pith-number/L7YFL75LOERFCLCQZ2M5LY7ENS/graph.json","fetch_events":"https://pith.science/api/pith-number/L7YFL75LOERFCLCQZ2M5LY7ENS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L7YFL75LOERFCLCQZ2M5LY7ENS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L7YFL75LOERFCLCQZ2M5LY7ENS/action/storage_attestation","attest_author":"https://pith.science/pith/L7YFL75LOERFCLCQZ2M5LY7ENS/action/author_attestation","sign_citation":"https://pith.science/pith/L7YFL75LOERFCLCQZ2M5LY7ENS/action/citation_signature","submit_replication":"https://pith.science/pith/L7YFL75LOERFCLCQZ2M5LY7ENS/action/replication_record"}},"created_at":"2026-05-17T23:41:59.599289+00:00","updated_at":"2026-05-17T23:41:59.599289+00:00"}