{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:Y3T2JL7BR3F2KHHLCFQAQX2IT5","short_pith_number":"pith:Y3T2JL7B","schema_version":"1.0","canonical_sha256":"c6e7a4afe18ecba51ceb1160085f489f4121d7f035e8ce0a501ba35648034866","source":{"kind":"arxiv","id":"1102.4393","version":3},"attestation_state":"computed","paper":{"title":"On the period of the Ikeda lift for U(m,m)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Hidenori Katsurada","submitted_at":"2011-02-22T02:57:01Z","abstract_excerpt":"Let K be an imaginary quadratic field, and x the Dirichlet character corresponding to the extension K/Q. Let m=2n or 2n+1 with n a positive integer. Let f be a primitive form of weight 2k+1 and and nebentype x, or a primitive form of weight 2k for SL(2,Z) according as m=2n, or m=2n+1. For such an f let I_m(f) be the lift of f to the space of modular forms of weight 2k+2n for the Hermitian modular group of degree m constructed by Ikeda.\n  We then express the period <I_m(f), I_m(f) > of I_m(f) in terms of special values of the adjoint L-functions of f. This poves the conjecture concerning the pe"},"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":"1102.4393","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-02-22T02:57:01Z","cross_cats_sorted":[],"title_canon_sha256":"c56ea8f372b8772b28ebfaa7326e67fdbb8f8c000475651f62e1dda21317e0cf","abstract_canon_sha256":"1fd3b79b9d48a9ce89f4bc3508d10460dda56d8894cac6842b4d4dc4004172d4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:52.139247Z","signature_b64":"sQJA7bZ1AXzR4x46v7AHK8nn3Fzvj3cNjhSHcoIf1NIbsZgkTDiVjf/Y0lW91cj4vRUrQZM7LvyPBB5mgQyhCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6e7a4afe18ecba51ceb1160085f489f4121d7f035e8ce0a501ba35648034866","last_reissued_at":"2026-05-18T01:11:52.138928Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:52.138928Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the period of the Ikeda lift for U(m,m)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Hidenori Katsurada","submitted_at":"2011-02-22T02:57:01Z","abstract_excerpt":"Let K be an imaginary quadratic field, and x the Dirichlet character corresponding to the extension K/Q. Let m=2n or 2n+1 with n a positive integer. Let f be a primitive form of weight 2k+1 and and nebentype x, or a primitive form of weight 2k for SL(2,Z) according as m=2n, or m=2n+1. For such an f let I_m(f) be the lift of f to the space of modular forms of weight 2k+2n for the Hermitian modular group of degree m constructed by Ikeda.\n  We then express the period <I_m(f), I_m(f) > of I_m(f) in terms of special values of the adjoint L-functions of f. This poves the conjecture concerning the pe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.4393","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":"1102.4393","created_at":"2026-05-18T01:11:52.138980+00:00"},{"alias_kind":"arxiv_version","alias_value":"1102.4393v3","created_at":"2026-05-18T01:11:52.138980+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.4393","created_at":"2026-05-18T01:11:52.138980+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y3T2JL7BR3F2","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y3T2JL7BR3F2KHHL","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y3T2JL7B","created_at":"2026-05-18T12:26:47.523578+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/Y3T2JL7BR3F2KHHLCFQAQX2IT5","json":"https://pith.science/pith/Y3T2JL7BR3F2KHHLCFQAQX2IT5.json","graph_json":"https://pith.science/api/pith-number/Y3T2JL7BR3F2KHHLCFQAQX2IT5/graph.json","events_json":"https://pith.science/api/pith-number/Y3T2JL7BR3F2KHHLCFQAQX2IT5/events.json","paper":"https://pith.science/paper/Y3T2JL7B"},"agent_actions":{"view_html":"https://pith.science/pith/Y3T2JL7BR3F2KHHLCFQAQX2IT5","download_json":"https://pith.science/pith/Y3T2JL7BR3F2KHHLCFQAQX2IT5.json","view_paper":"https://pith.science/paper/Y3T2JL7B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1102.4393&json=true","fetch_graph":"https://pith.science/api/pith-number/Y3T2JL7BR3F2KHHLCFQAQX2IT5/graph.json","fetch_events":"https://pith.science/api/pith-number/Y3T2JL7BR3F2KHHLCFQAQX2IT5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y3T2JL7BR3F2KHHLCFQAQX2IT5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y3T2JL7BR3F2KHHLCFQAQX2IT5/action/storage_attestation","attest_author":"https://pith.science/pith/Y3T2JL7BR3F2KHHLCFQAQX2IT5/action/author_attestation","sign_citation":"https://pith.science/pith/Y3T2JL7BR3F2KHHLCFQAQX2IT5/action/citation_signature","submit_replication":"https://pith.science/pith/Y3T2JL7BR3F2KHHLCFQAQX2IT5/action/replication_record"}},"created_at":"2026-05-18T01:11:52.138980+00:00","updated_at":"2026-05-18T01:11:52.138980+00:00"}