{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:WIKCVRVOIUSNNCZHV3JQTX2V4U","short_pith_number":"pith:WIKCVRVO","schema_version":"1.0","canonical_sha256":"b2142ac6ae4524d68b27aed309df55e52ad3fa738fc589521170afc4ef10011d","source":{"kind":"arxiv","id":"1109.6001","version":1},"attestation_state":"computed","paper":{"title":"Products of Nearly Holomorphic Eigenforms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Catherine Trentacoste, Hui Xue, Jeffrey Beyerl, Kevin James","submitted_at":"2011-09-27T19:42:35Z","abstract_excerpt":"We prove that the product of two nearly holomorphic Hecke eigenforms is again a Hecke eigenform for only finitely many choices of factors."},"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":"1109.6001","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-09-27T19:42:35Z","cross_cats_sorted":[],"title_canon_sha256":"ca908732c3464e64f2d0e42343d6ce2a2cce9c1903bc8b731527d5feead5ffa0","abstract_canon_sha256":"8d115526a5232fedda1a777c334b8bacd6ae4031b8ef13a561cb36052a71c948"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:10.874427Z","signature_b64":"+1m00SaGUN1PDag5wIVdsMbIGjp1GXDNZll8MSlZjuhFmECPWMHhDR6w549Gd2GCAIbbvfDj99DVqFzE/C3oCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b2142ac6ae4524d68b27aed309df55e52ad3fa738fc589521170afc4ef10011d","last_reissued_at":"2026-05-18T04:12:10.873759Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:10.873759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Products of Nearly Holomorphic Eigenforms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Catherine Trentacoste, Hui Xue, Jeffrey Beyerl, Kevin James","submitted_at":"2011-09-27T19:42:35Z","abstract_excerpt":"We prove that the product of two nearly holomorphic Hecke eigenforms is again a Hecke eigenform for only finitely many choices of factors."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6001","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":"1109.6001","created_at":"2026-05-18T04:12:10.873844+00:00"},{"alias_kind":"arxiv_version","alias_value":"1109.6001v1","created_at":"2026-05-18T04:12:10.873844+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6001","created_at":"2026-05-18T04:12:10.873844+00:00"},{"alias_kind":"pith_short_12","alias_value":"WIKCVRVOIUSN","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_16","alias_value":"WIKCVRVOIUSNNCZH","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_8","alias_value":"WIKCVRVO","created_at":"2026-05-18T12:26:44.992195+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/WIKCVRVOIUSNNCZHV3JQTX2V4U","json":"https://pith.science/pith/WIKCVRVOIUSNNCZHV3JQTX2V4U.json","graph_json":"https://pith.science/api/pith-number/WIKCVRVOIUSNNCZHV3JQTX2V4U/graph.json","events_json":"https://pith.science/api/pith-number/WIKCVRVOIUSNNCZHV3JQTX2V4U/events.json","paper":"https://pith.science/paper/WIKCVRVO"},"agent_actions":{"view_html":"https://pith.science/pith/WIKCVRVOIUSNNCZHV3JQTX2V4U","download_json":"https://pith.science/pith/WIKCVRVOIUSNNCZHV3JQTX2V4U.json","view_paper":"https://pith.science/paper/WIKCVRVO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1109.6001&json=true","fetch_graph":"https://pith.science/api/pith-number/WIKCVRVOIUSNNCZHV3JQTX2V4U/graph.json","fetch_events":"https://pith.science/api/pith-number/WIKCVRVOIUSNNCZHV3JQTX2V4U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WIKCVRVOIUSNNCZHV3JQTX2V4U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WIKCVRVOIUSNNCZHV3JQTX2V4U/action/storage_attestation","attest_author":"https://pith.science/pith/WIKCVRVOIUSNNCZHV3JQTX2V4U/action/author_attestation","sign_citation":"https://pith.science/pith/WIKCVRVOIUSNNCZHV3JQTX2V4U/action/citation_signature","submit_replication":"https://pith.science/pith/WIKCVRVOIUSNNCZHV3JQTX2V4U/action/replication_record"}},"created_at":"2026-05-18T04:12:10.873844+00:00","updated_at":"2026-05-18T04:12:10.873844+00:00"}