{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:HX267DRRJXMVOPPTG5GC3X3UNH","short_pith_number":"pith:HX267DRR","schema_version":"1.0","canonical_sha256":"3df5ef8e314dd9573df3374c2ddf7469fff491415296b61f9d7aaaee8fed84d4","source":{"kind":"arxiv","id":"1512.04452","version":2},"attestation_state":"computed","paper":{"title":"On a relation between certain $q$-hypergeometric series and Maass waveforms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Larry Rolen, Matthew Krauel, Michael Woodbury","submitted_at":"2015-12-14T18:41:12Z","abstract_excerpt":"In this paper, we answer a question of Li, Ngo, and Rhoades concerning a set of $q$-series related to the $q$-hypergeometric series $\\sigma$ from Ramanajun's lost notebook. Our results parallel a theorem of Cohen which says that $\\sigma$, along with its partner function $\\sigma^*$, interpolate the coefficients of a Maass waveform of eigenvalue $1/4$."},"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":"1512.04452","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-12-14T18:41:12Z","cross_cats_sorted":[],"title_canon_sha256":"dd1ba9f37a68d2c136816db95f0037821263a9218c4e0c3bc4fe47684bf402ec","abstract_canon_sha256":"09b4f0e636a9786fa36aa0229001027f76807ea87303e2a075b16da52df03017"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:00.058725Z","signature_b64":"NazcR5x89OsuW1MyxfWi9uJF96xSo50AAf0woVfdTM0luexuKta0n/XoxmxRRDX00OOu3wU/7NwQeyEifbrRDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3df5ef8e314dd9573df3374c2ddf7469fff491415296b61f9d7aaaee8fed84d4","last_reissued_at":"2026-05-18T01:19:00.058238Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:00.058238Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a relation between certain $q$-hypergeometric series and Maass waveforms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Larry Rolen, Matthew Krauel, Michael Woodbury","submitted_at":"2015-12-14T18:41:12Z","abstract_excerpt":"In this paper, we answer a question of Li, Ngo, and Rhoades concerning a set of $q$-series related to the $q$-hypergeometric series $\\sigma$ from Ramanajun's lost notebook. Our results parallel a theorem of Cohen which says that $\\sigma$, along with its partner function $\\sigma^*$, interpolate the coefficients of a Maass waveform of eigenvalue $1/4$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.04452","kind":"arxiv","version":2},"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":"1512.04452","created_at":"2026-05-18T01:19:00.058311+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.04452v2","created_at":"2026-05-18T01:19:00.058311+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.04452","created_at":"2026-05-18T01:19:00.058311+00:00"},{"alias_kind":"pith_short_12","alias_value":"HX267DRRJXMV","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_16","alias_value":"HX267DRRJXMVOPPT","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_8","alias_value":"HX267DRR","created_at":"2026-05-18T12:29:25.134429+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/HX267DRRJXMVOPPTG5GC3X3UNH","json":"https://pith.science/pith/HX267DRRJXMVOPPTG5GC3X3UNH.json","graph_json":"https://pith.science/api/pith-number/HX267DRRJXMVOPPTG5GC3X3UNH/graph.json","events_json":"https://pith.science/api/pith-number/HX267DRRJXMVOPPTG5GC3X3UNH/events.json","paper":"https://pith.science/paper/HX267DRR"},"agent_actions":{"view_html":"https://pith.science/pith/HX267DRRJXMVOPPTG5GC3X3UNH","download_json":"https://pith.science/pith/HX267DRRJXMVOPPTG5GC3X3UNH.json","view_paper":"https://pith.science/paper/HX267DRR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.04452&json=true","fetch_graph":"https://pith.science/api/pith-number/HX267DRRJXMVOPPTG5GC3X3UNH/graph.json","fetch_events":"https://pith.science/api/pith-number/HX267DRRJXMVOPPTG5GC3X3UNH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HX267DRRJXMVOPPTG5GC3X3UNH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HX267DRRJXMVOPPTG5GC3X3UNH/action/storage_attestation","attest_author":"https://pith.science/pith/HX267DRRJXMVOPPTG5GC3X3UNH/action/author_attestation","sign_citation":"https://pith.science/pith/HX267DRRJXMVOPPTG5GC3X3UNH/action/citation_signature","submit_replication":"https://pith.science/pith/HX267DRRJXMVOPPTG5GC3X3UNH/action/replication_record"}},"created_at":"2026-05-18T01:19:00.058311+00:00","updated_at":"2026-05-18T01:19:00.058311+00:00"}