{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:HYWPMF75XFSFR44OIQP7DMJJ4D","short_pith_number":"pith:HYWPMF75","schema_version":"1.0","canonical_sha256":"3e2cf617fdb96458f38e441ff1b129e0ee36233f9e55abab5c7f139ebff9dbb1","source":{"kind":"arxiv","id":"1602.01036","version":1},"attestation_state":"computed","paper":{"title":"A note on cusp forms as $p$-adic limits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Detchat Samart, Scott Ahlgren","submitted_at":"2016-02-02T18:33:54Z","abstract_excerpt":"Several authors have recently proved results which express cusp forms as $p$-adic limits of weakly holomorphic modular forms under repeated application of Atkin's $U$-operator. The proofs involve techniques from the theory of weak harmonic Maass forms, and in particular a result of Guerzhoy, Kent, and Ono on the $p$-adic coupling of mock modular forms and their shadows. Here we obtain strengthened versions of these results using techniques from the theory of holomorphic modular forms."},"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":"1602.01036","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-02-02T18:33:54Z","cross_cats_sorted":[],"title_canon_sha256":"03e0041f3ac900aafee33548a99fde58dda080c3ca6643c22b9818ea5ea2fa8a","abstract_canon_sha256":"5bef9e8104e1873173134a909f90bbcf62e32655faf386004950f3dfb5e5fa6d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:23.935202Z","signature_b64":"d1WkBDbdP7rTHdMwZfplCBbTLAvCl5NM2NsgAosVjMQWaFhB+8mNJdXwsZQfoi8ax5//ekFlSjVGXKElUe2oDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e2cf617fdb96458f38e441ff1b129e0ee36233f9e55abab5c7f139ebff9dbb1","last_reissued_at":"2026-05-18T01:21:23.934616Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:23.934616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on cusp forms as $p$-adic limits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Detchat Samart, Scott Ahlgren","submitted_at":"2016-02-02T18:33:54Z","abstract_excerpt":"Several authors have recently proved results which express cusp forms as $p$-adic limits of weakly holomorphic modular forms under repeated application of Atkin's $U$-operator. The proofs involve techniques from the theory of weak harmonic Maass forms, and in particular a result of Guerzhoy, Kent, and Ono on the $p$-adic coupling of mock modular forms and their shadows. Here we obtain strengthened versions of these results using techniques from the theory of holomorphic modular forms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.01036","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":"1602.01036","created_at":"2026-05-18T01:21:23.934729+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.01036v1","created_at":"2026-05-18T01:21:23.934729+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.01036","created_at":"2026-05-18T01:21:23.934729+00:00"},{"alias_kind":"pith_short_12","alias_value":"HYWPMF75XFSF","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_16","alias_value":"HYWPMF75XFSFR44O","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_8","alias_value":"HYWPMF75","created_at":"2026-05-18T12:30:22.444734+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/HYWPMF75XFSFR44OIQP7DMJJ4D","json":"https://pith.science/pith/HYWPMF75XFSFR44OIQP7DMJJ4D.json","graph_json":"https://pith.science/api/pith-number/HYWPMF75XFSFR44OIQP7DMJJ4D/graph.json","events_json":"https://pith.science/api/pith-number/HYWPMF75XFSFR44OIQP7DMJJ4D/events.json","paper":"https://pith.science/paper/HYWPMF75"},"agent_actions":{"view_html":"https://pith.science/pith/HYWPMF75XFSFR44OIQP7DMJJ4D","download_json":"https://pith.science/pith/HYWPMF75XFSFR44OIQP7DMJJ4D.json","view_paper":"https://pith.science/paper/HYWPMF75","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.01036&json=true","fetch_graph":"https://pith.science/api/pith-number/HYWPMF75XFSFR44OIQP7DMJJ4D/graph.json","fetch_events":"https://pith.science/api/pith-number/HYWPMF75XFSFR44OIQP7DMJJ4D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HYWPMF75XFSFR44OIQP7DMJJ4D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HYWPMF75XFSFR44OIQP7DMJJ4D/action/storage_attestation","attest_author":"https://pith.science/pith/HYWPMF75XFSFR44OIQP7DMJJ4D/action/author_attestation","sign_citation":"https://pith.science/pith/HYWPMF75XFSFR44OIQP7DMJJ4D/action/citation_signature","submit_replication":"https://pith.science/pith/HYWPMF75XFSFR44OIQP7DMJJ4D/action/replication_record"}},"created_at":"2026-05-18T01:21:23.934729+00:00","updated_at":"2026-05-18T01:21:23.934729+00:00"}