{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:3MBOMGSVNIMPJ5H4Y6GZF7PSZI","short_pith_number":"pith:3MBOMGSV","schema_version":"1.0","canonical_sha256":"db02e61a556a18f4f4fcc78d92fdf2ca383240f4f72688a035f6da56a43b3264","source":{"kind":"arxiv","id":"2511.04030","version":2},"attestation_state":"computed","paper":{"title":"Prime detecting quasi-modular forms in higher level","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Ben Kane, Krishnarjun Krishnamoorthy, Yuk-Kam Lau","submitted_at":"2025-11-06T03:56:50Z","abstract_excerpt":"In a previous work, the authors resolved a conjecture about the structure of prime-detecting quasi-modular forms by studying sign changes occurring in quasi-modular cusp forms. In this paper, we extend the considerations to prime-detecting quasi-modular forms of higher level, in particular describing the structure of the space of quasi-modular forms that detect primes in various arithmetic progressions. We also provide an ``analytic'' proof of the level one case."},"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":"2511.04030","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2025-11-06T03:56:50Z","cross_cats_sorted":[],"title_canon_sha256":"76bbebf6d29e95459f9f63853b9a71dbf078c9869a9a3c825eb6355d65b97d63","abstract_canon_sha256":"3a198fa64048ddb472c0340d5c7bf7367b6fd039fd38a0005eb4efe7f94ab466"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:02:58.137076Z","signature_b64":"DrYGkI9UJYV+KTyp+WAROe7uH0XfV9/t3huXKISMQypIABQRr9Xy5nRUf1Od7uFwgBHH2dcr5HB9yBFsrml3Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db02e61a556a18f4f4fcc78d92fdf2ca383240f4f72688a035f6da56a43b3264","last_reissued_at":"2026-05-20T00:02:58.136347Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:02:58.136347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Prime detecting quasi-modular forms in higher level","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Ben Kane, Krishnarjun Krishnamoorthy, Yuk-Kam Lau","submitted_at":"2025-11-06T03:56:50Z","abstract_excerpt":"In a previous work, the authors resolved a conjecture about the structure of prime-detecting quasi-modular forms by studying sign changes occurring in quasi-modular cusp forms. In this paper, we extend the considerations to prime-detecting quasi-modular forms of higher level, in particular describing the structure of the space of quasi-modular forms that detect primes in various arithmetic progressions. We also provide an ``analytic'' proof of the level one case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2511.04030","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2511.04030/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2511.04030","created_at":"2026-05-20T00:02:58.136484+00:00"},{"alias_kind":"arxiv_version","alias_value":"2511.04030v2","created_at":"2026-05-20T00:02:58.136484+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.04030","created_at":"2026-05-20T00:02:58.136484+00:00"},{"alias_kind":"pith_short_12","alias_value":"3MBOMGSVNIMP","created_at":"2026-05-20T00:02:58.136484+00:00"},{"alias_kind":"pith_short_16","alias_value":"3MBOMGSVNIMPJ5H4","created_at":"2026-05-20T00:02:58.136484+00:00"},{"alias_kind":"pith_short_8","alias_value":"3MBOMGSV","created_at":"2026-05-20T00:02:58.136484+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/3MBOMGSVNIMPJ5H4Y6GZF7PSZI","json":"https://pith.science/pith/3MBOMGSVNIMPJ5H4Y6GZF7PSZI.json","graph_json":"https://pith.science/api/pith-number/3MBOMGSVNIMPJ5H4Y6GZF7PSZI/graph.json","events_json":"https://pith.science/api/pith-number/3MBOMGSVNIMPJ5H4Y6GZF7PSZI/events.json","paper":"https://pith.science/paper/3MBOMGSV"},"agent_actions":{"view_html":"https://pith.science/pith/3MBOMGSVNIMPJ5H4Y6GZF7PSZI","download_json":"https://pith.science/pith/3MBOMGSVNIMPJ5H4Y6GZF7PSZI.json","view_paper":"https://pith.science/paper/3MBOMGSV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2511.04030&json=true","fetch_graph":"https://pith.science/api/pith-number/3MBOMGSVNIMPJ5H4Y6GZF7PSZI/graph.json","fetch_events":"https://pith.science/api/pith-number/3MBOMGSVNIMPJ5H4Y6GZF7PSZI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3MBOMGSVNIMPJ5H4Y6GZF7PSZI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3MBOMGSVNIMPJ5H4Y6GZF7PSZI/action/storage_attestation","attest_author":"https://pith.science/pith/3MBOMGSVNIMPJ5H4Y6GZF7PSZI/action/author_attestation","sign_citation":"https://pith.science/pith/3MBOMGSVNIMPJ5H4Y6GZF7PSZI/action/citation_signature","submit_replication":"https://pith.science/pith/3MBOMGSVNIMPJ5H4Y6GZF7PSZI/action/replication_record"}},"created_at":"2026-05-20T00:02:58.136484+00:00","updated_at":"2026-05-20T00:02:58.136484+00:00"}