{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:EFBUP5AKMFG34SPTWEGZMLGTRI","short_pith_number":"pith:EFBUP5AK","schema_version":"1.0","canonical_sha256":"214347f40a614dbe49f3b10d962cd38a181763e3a2948280362bad2941ac858a","source":{"kind":"arxiv","id":"1006.1469","version":3},"attestation_state":"computed","paper":{"title":"A modularity criterion for Klein forms, with an application to modular forms of level $13$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Dong Hwa Shin, Ick Sun Eum, Ja Kyung Koo","submitted_at":"2010-06-08T07:35:21Z","abstract_excerpt":"We find some modularity criterion for a product of Klein forms of the congruence subgroup $\\Gamma_1(N)$ and, as its application, construct a basis of the space of modular forms for $\\Gamma_1(13)$ of weight $2$. In the process we face with an interesting property about the coefficients of certain theta function from a quadratic form and prove it conditionally by applying Hecke operators."},"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":"1006.1469","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2010-06-08T07:35:21Z","cross_cats_sorted":[],"title_canon_sha256":"8fa8dedd30665ad96aa2f8732056d3b2816cf2635297019657f62a8ec192f03b","abstract_canon_sha256":"dfc118705cf553686069499ff67e55364e1c8b59edf59e8da2de1ebfd098dbef"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:42:43.184741Z","signature_b64":"SUZoJpc4LrNjG68yiatQh3DyUU456gafSd6w/pRCkDj9fohlCt+TTG+ai0haT9BDW927op5IJlj/NyK5QicECg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"214347f40a614dbe49f3b10d962cd38a181763e3a2948280362bad2941ac858a","last_reissued_at":"2026-05-18T04:42:43.184303Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:42:43.184303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A modularity criterion for Klein forms, with an application to modular forms of level $13$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Dong Hwa Shin, Ick Sun Eum, Ja Kyung Koo","submitted_at":"2010-06-08T07:35:21Z","abstract_excerpt":"We find some modularity criterion for a product of Klein forms of the congruence subgroup $\\Gamma_1(N)$ and, as its application, construct a basis of the space of modular forms for $\\Gamma_1(13)$ of weight $2$. In the process we face with an interesting property about the coefficients of certain theta function from a quadratic form and prove it conditionally by applying Hecke operators."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.1469","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":"1006.1469","created_at":"2026-05-18T04:42:43.184365+00:00"},{"alias_kind":"arxiv_version","alias_value":"1006.1469v3","created_at":"2026-05-18T04:42:43.184365+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.1469","created_at":"2026-05-18T04:42:43.184365+00:00"},{"alias_kind":"pith_short_12","alias_value":"EFBUP5AKMFG3","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_16","alias_value":"EFBUP5AKMFG34SPT","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_8","alias_value":"EFBUP5AK","created_at":"2026-05-18T12:26:06.534383+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/EFBUP5AKMFG34SPTWEGZMLGTRI","json":"https://pith.science/pith/EFBUP5AKMFG34SPTWEGZMLGTRI.json","graph_json":"https://pith.science/api/pith-number/EFBUP5AKMFG34SPTWEGZMLGTRI/graph.json","events_json":"https://pith.science/api/pith-number/EFBUP5AKMFG34SPTWEGZMLGTRI/events.json","paper":"https://pith.science/paper/EFBUP5AK"},"agent_actions":{"view_html":"https://pith.science/pith/EFBUP5AKMFG34SPTWEGZMLGTRI","download_json":"https://pith.science/pith/EFBUP5AKMFG34SPTWEGZMLGTRI.json","view_paper":"https://pith.science/paper/EFBUP5AK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1006.1469&json=true","fetch_graph":"https://pith.science/api/pith-number/EFBUP5AKMFG34SPTWEGZMLGTRI/graph.json","fetch_events":"https://pith.science/api/pith-number/EFBUP5AKMFG34SPTWEGZMLGTRI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EFBUP5AKMFG34SPTWEGZMLGTRI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EFBUP5AKMFG34SPTWEGZMLGTRI/action/storage_attestation","attest_author":"https://pith.science/pith/EFBUP5AKMFG34SPTWEGZMLGTRI/action/author_attestation","sign_citation":"https://pith.science/pith/EFBUP5AKMFG34SPTWEGZMLGTRI/action/citation_signature","submit_replication":"https://pith.science/pith/EFBUP5AKMFG34SPTWEGZMLGTRI/action/replication_record"}},"created_at":"2026-05-18T04:42:43.184365+00:00","updated_at":"2026-05-18T04:42:43.184365+00:00"}