{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:VFKQGVDPJOPY5FOG37EUZB4UCR","short_pith_number":"pith:VFKQGVDP","schema_version":"1.0","canonical_sha256":"a95503546f4b9f8e95c6dfc94c87941458db392c3f473530aef88a9eef5a8d1f","source":{"kind":"arxiv","id":"1901.05326","version":1},"attestation_state":"computed","paper":{"title":"On a pair of identities from Ramanujan's lost notebook","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Andrew V. Sills, James Mc Laughlin","submitted_at":"2019-01-06T16:20:40Z","abstract_excerpt":"Using a pair of two variable series-product identities recorded by Ramanujan in the lost notebook as inspiration, we find some new identities of similar type. Each identity immediately implies an infinite family of Rogers-Ramanujan type identities, some of which are well-known identities from the literature. We also use these identities to derive some general identities for integer partitions."},"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":"1901.05326","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-01-06T16:20:40Z","cross_cats_sorted":[],"title_canon_sha256":"2381d5a3332702449200e9214aa1bb712ca7b8083d071a023d801f9ef6caa766","abstract_canon_sha256":"09b64a038bd88c1e74a1fbc1b476d6c48691b5a56da0d475c7967be986381308"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:11.148023Z","signature_b64":"EU39zJ4cI/J4EtpboHkmypW66ilZY4JHaWI51wVbJrPR0UMKJC4GvDo4qfOkUPOEfvNrLkJ8BYJn5eCMQce9CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a95503546f4b9f8e95c6dfc94c87941458db392c3f473530aef88a9eef5a8d1f","last_reissued_at":"2026-05-17T23:56:11.147275Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:11.147275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a pair of identities from Ramanujan's lost notebook","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Andrew V. Sills, James Mc Laughlin","submitted_at":"2019-01-06T16:20:40Z","abstract_excerpt":"Using a pair of two variable series-product identities recorded by Ramanujan in the lost notebook as inspiration, we find some new identities of similar type. Each identity immediately implies an infinite family of Rogers-Ramanujan type identities, some of which are well-known identities from the literature. We also use these identities to derive some general identities for integer partitions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.05326","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":"1901.05326","created_at":"2026-05-17T23:56:11.147428+00:00"},{"alias_kind":"arxiv_version","alias_value":"1901.05326v1","created_at":"2026-05-17T23:56:11.147428+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.05326","created_at":"2026-05-17T23:56:11.147428+00:00"},{"alias_kind":"pith_short_12","alias_value":"VFKQGVDPJOPY","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_16","alias_value":"VFKQGVDPJOPY5FOG","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_8","alias_value":"VFKQGVDP","created_at":"2026-05-18T12:33:30.264802+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/VFKQGVDPJOPY5FOG37EUZB4UCR","json":"https://pith.science/pith/VFKQGVDPJOPY5FOG37EUZB4UCR.json","graph_json":"https://pith.science/api/pith-number/VFKQGVDPJOPY5FOG37EUZB4UCR/graph.json","events_json":"https://pith.science/api/pith-number/VFKQGVDPJOPY5FOG37EUZB4UCR/events.json","paper":"https://pith.science/paper/VFKQGVDP"},"agent_actions":{"view_html":"https://pith.science/pith/VFKQGVDPJOPY5FOG37EUZB4UCR","download_json":"https://pith.science/pith/VFKQGVDPJOPY5FOG37EUZB4UCR.json","view_paper":"https://pith.science/paper/VFKQGVDP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1901.05326&json=true","fetch_graph":"https://pith.science/api/pith-number/VFKQGVDPJOPY5FOG37EUZB4UCR/graph.json","fetch_events":"https://pith.science/api/pith-number/VFKQGVDPJOPY5FOG37EUZB4UCR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VFKQGVDPJOPY5FOG37EUZB4UCR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VFKQGVDPJOPY5FOG37EUZB4UCR/action/storage_attestation","attest_author":"https://pith.science/pith/VFKQGVDPJOPY5FOG37EUZB4UCR/action/author_attestation","sign_citation":"https://pith.science/pith/VFKQGVDPJOPY5FOG37EUZB4UCR/action/citation_signature","submit_replication":"https://pith.science/pith/VFKQGVDPJOPY5FOG37EUZB4UCR/action/replication_record"}},"created_at":"2026-05-17T23:56:11.147428+00:00","updated_at":"2026-05-17T23:56:11.147428+00:00"}