{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:LOVIXGK7S54PF74PP3Z6OLCQHF","short_pith_number":"pith:LOVIXGK7","schema_version":"1.0","canonical_sha256":"5baa8b995f9778f2ff8f7ef3e72c50395d0c09f229aadc839b21998a18dfd160","source":{"kind":"arxiv","id":"1304.6586","version":3},"attestation_state":"computed","paper":{"title":"A Note on the Fourier coefficients of half-integral weight modular forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Narasimha Kumar, Soma Purkait","submitted_at":"2013-04-24T13:50:22Z","abstract_excerpt":"In this note, we show that the algebraicity of the Fourier coefficients of half-integral weight modular forms can be determined by checking the algebraicity of the first few of them. We also give a necessary and sufficient condition for a half-integral weight modular form to be in Kohnen's +-subspace by considering only finitely many terms."},"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":"1304.6586","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-04-24T13:50:22Z","cross_cats_sorted":[],"title_canon_sha256":"b7c0416184054750a8ef160d8f66f8aebb7b4566468b1610fb30d33d518f1cb9","abstract_canon_sha256":"ea4f5227703c90e54842494fd6b69a4408bd87ab769cc9690b3f71df1a3b2c9c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:01.531329Z","signature_b64":"4RcHmkB/gQ+YPGpGHFdTzbiI97Ydye3fMQFPAQDbyQjuzW0KuMcZrRV+Tt3Eu9UhdF9LREv6zoMZIJzqjKHfBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5baa8b995f9778f2ff8f7ef3e72c50395d0c09f229aadc839b21998a18dfd160","last_reissued_at":"2026-05-18T02:33:01.530972Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:01.530972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Note on the Fourier coefficients of half-integral weight modular forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Narasimha Kumar, Soma Purkait","submitted_at":"2013-04-24T13:50:22Z","abstract_excerpt":"In this note, we show that the algebraicity of the Fourier coefficients of half-integral weight modular forms can be determined by checking the algebraicity of the first few of them. We also give a necessary and sufficient condition for a half-integral weight modular form to be in Kohnen's +-subspace by considering only finitely many terms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.6586","kind":"arxiv","version":3},"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":"1304.6586","created_at":"2026-05-18T02:33:01.531027+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.6586v3","created_at":"2026-05-18T02:33:01.531027+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.6586","created_at":"2026-05-18T02:33:01.531027+00:00"},{"alias_kind":"pith_short_12","alias_value":"LOVIXGK7S54P","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_16","alias_value":"LOVIXGK7S54PF74P","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_8","alias_value":"LOVIXGK7","created_at":"2026-05-18T12:27:51.066281+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2608.06682","citing_title":"Squarefree numbers in short intervals: explicit and formalized","ref_index":47,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LOVIXGK7S54PF74PP3Z6OLCQHF","json":"https://pith.science/pith/LOVIXGK7S54PF74PP3Z6OLCQHF.json","graph_json":"https://pith.science/api/pith-number/LOVIXGK7S54PF74PP3Z6OLCQHF/graph.json","events_json":"https://pith.science/api/pith-number/LOVIXGK7S54PF74PP3Z6OLCQHF/events.json","paper":"https://pith.science/paper/LOVIXGK7"},"agent_actions":{"view_html":"https://pith.science/pith/LOVIXGK7S54PF74PP3Z6OLCQHF","download_json":"https://pith.science/pith/LOVIXGK7S54PF74PP3Z6OLCQHF.json","view_paper":"https://pith.science/paper/LOVIXGK7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.6586&json=true","fetch_graph":"https://pith.science/api/pith-number/LOVIXGK7S54PF74PP3Z6OLCQHF/graph.json","fetch_events":"https://pith.science/api/pith-number/LOVIXGK7S54PF74PP3Z6OLCQHF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LOVIXGK7S54PF74PP3Z6OLCQHF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LOVIXGK7S54PF74PP3Z6OLCQHF/action/storage_attestation","attest_author":"https://pith.science/pith/LOVIXGK7S54PF74PP3Z6OLCQHF/action/author_attestation","sign_citation":"https://pith.science/pith/LOVIXGK7S54PF74PP3Z6OLCQHF/action/citation_signature","submit_replication":"https://pith.science/pith/LOVIXGK7S54PF74PP3Z6OLCQHF/action/replication_record"}},"created_at":"2026-05-18T02:33:01.531027+00:00","updated_at":"2026-05-18T02:33:01.531027+00:00"}