{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:S3GB26Q7IJSK6LWKCZ43UNFG23","short_pith_number":"pith:S3GB26Q7","schema_version":"1.0","canonical_sha256":"96cc1d7a1f4264af2eca1679ba34a6d6ed18ea96165e6a5abb4eae619c62dc01","source":{"kind":"arxiv","id":"1602.00316","version":1},"attestation_state":"computed","paper":{"title":"On Certain Generalizations of Rogers-Ramanujan Type Identities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Ahmad El-Guindy, Mourad E.H. Ismail","submitted_at":"2016-01-31T20:52:52Z","abstract_excerpt":"We state and prove a number of unilateral and bilateral $q$-series identities and explore some of their consequences. Those include certain generalizations of the $q$-binomial sum which also generalize the $q$-Airy function introduced by Ramanujan, as well as certain identities with an interesting variable-parameter symmetry based on limiting cases of Heine's transformation of basic hypergeomteric 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":"1602.00316","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-01-31T20:52:52Z","cross_cats_sorted":[],"title_canon_sha256":"d74601b0d13cfd41262cdc068d2bad2ae3d67bb0e162ea3c0db0531eeaef6c7b","abstract_canon_sha256":"7db4239a166f6bcfcc399d84d5fbfb8ee0beda78dd7b4b56d8dad4155ef60aa6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:35.694236Z","signature_b64":"e258rMcQXLRco3d8sMLih2SEExlEmW/wLmhT/z2tzl1qhAobasZ163Kn5SfPeJTwNtsMWJgY8yUDASq9u50RBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"96cc1d7a1f4264af2eca1679ba34a6d6ed18ea96165e6a5abb4eae619c62dc01","last_reissued_at":"2026-05-18T01:21:35.693636Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:35.693636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Certain Generalizations of Rogers-Ramanujan Type Identities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Ahmad El-Guindy, Mourad E.H. Ismail","submitted_at":"2016-01-31T20:52:52Z","abstract_excerpt":"We state and prove a number of unilateral and bilateral $q$-series identities and explore some of their consequences. Those include certain generalizations of the $q$-binomial sum which also generalize the $q$-Airy function introduced by Ramanujan, as well as certain identities with an interesting variable-parameter symmetry based on limiting cases of Heine's transformation of basic hypergeomteric functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.00316","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":"1602.00316","created_at":"2026-05-18T01:21:35.693737+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.00316v1","created_at":"2026-05-18T01:21:35.693737+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.00316","created_at":"2026-05-18T01:21:35.693737+00:00"},{"alias_kind":"pith_short_12","alias_value":"S3GB26Q7IJSK","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_16","alias_value":"S3GB26Q7IJSK6LWK","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_8","alias_value":"S3GB26Q7","created_at":"2026-05-18T12:30:41.710351+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/S3GB26Q7IJSK6LWKCZ43UNFG23","json":"https://pith.science/pith/S3GB26Q7IJSK6LWKCZ43UNFG23.json","graph_json":"https://pith.science/api/pith-number/S3GB26Q7IJSK6LWKCZ43UNFG23/graph.json","events_json":"https://pith.science/api/pith-number/S3GB26Q7IJSK6LWKCZ43UNFG23/events.json","paper":"https://pith.science/paper/S3GB26Q7"},"agent_actions":{"view_html":"https://pith.science/pith/S3GB26Q7IJSK6LWKCZ43UNFG23","download_json":"https://pith.science/pith/S3GB26Q7IJSK6LWKCZ43UNFG23.json","view_paper":"https://pith.science/paper/S3GB26Q7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.00316&json=true","fetch_graph":"https://pith.science/api/pith-number/S3GB26Q7IJSK6LWKCZ43UNFG23/graph.json","fetch_events":"https://pith.science/api/pith-number/S3GB26Q7IJSK6LWKCZ43UNFG23/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S3GB26Q7IJSK6LWKCZ43UNFG23/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S3GB26Q7IJSK6LWKCZ43UNFG23/action/storage_attestation","attest_author":"https://pith.science/pith/S3GB26Q7IJSK6LWKCZ43UNFG23/action/author_attestation","sign_citation":"https://pith.science/pith/S3GB26Q7IJSK6LWKCZ43UNFG23/action/citation_signature","submit_replication":"https://pith.science/pith/S3GB26Q7IJSK6LWKCZ43UNFG23/action/replication_record"}},"created_at":"2026-05-18T01:21:35.693737+00:00","updated_at":"2026-05-18T01:21:35.693737+00:00"}