{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:Y3T2JL7BR3F2KHHLCFQAQX2IT5","short_pith_number":"pith:Y3T2JL7B","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"},"canonical_sha256":"c6e7a4afe18ecba51ceb1160085f489f4121d7f035e8ce0a501ba35648034866","source":{"kind":"arxiv","id":"1102.4393","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.4393","created_at":"2026-05-18T01:11:52Z"},{"alias_kind":"arxiv_version","alias_value":"1102.4393v3","created_at":"2026-05-18T01:11:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.4393","created_at":"2026-05-18T01:11:52Z"},{"alias_kind":"pith_short_12","alias_value":"Y3T2JL7BR3F2","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"Y3T2JL7BR3F2KHHL","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"Y3T2JL7B","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:Y3T2JL7BR3F2KHHLCFQAQX2IT5","target":"record","payload":{"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"},"canonical_sha256":"c6e7a4afe18ecba51ceb1160085f489f4121d7f035e8ce0a501ba35648034866","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"},"source_kind":"arxiv","source_id":"1102.4393","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:11:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Onkp4NwfVnTEvJUTuxHd6GbA32VHY2d5v3sqqwK78ScVAlBrinY/lZv5x9ZxRWjkdXZRKolrILHefjwSqbMODQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T10:45:04.760778Z"},"content_sha256":"b05c64fdba2fc4cd8dac4cda2812db19bc832897aafce18bb201c8b8e7e22fa0","schema_version":"1.0","event_id":"sha256:b05c64fdba2fc4cd8dac4cda2812db19bc832897aafce18bb201c8b8e7e22fa0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:Y3T2JL7BR3F2KHHLCFQAQX2IT5","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:11:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h+/yJXq8tRfs9Xd9R/RL0zpQSJ7TD1eLHsu9c1MJh0+ZdrjO9L+0YoAoCqsaAJfb6x0xKWjYlfuv/P4msTUwCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T10:45:04.761114Z"},"content_sha256":"db2f95ec245ea413aec0b8de01ed1be1d810d88a51e67a1cea0b3380e84aa4cc","schema_version":"1.0","event_id":"sha256:db2f95ec245ea413aec0b8de01ed1be1d810d88a51e67a1cea0b3380e84aa4cc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y3T2JL7BR3F2KHHLCFQAQX2IT5/bundle.json","state_url":"https://pith.science/pith/Y3T2JL7BR3F2KHHLCFQAQX2IT5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y3T2JL7BR3F2KHHLCFQAQX2IT5/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-03T10:45:04Z","links":{"resolver":"https://pith.science/pith/Y3T2JL7BR3F2KHHLCFQAQX2IT5","bundle":"https://pith.science/pith/Y3T2JL7BR3F2KHHLCFQAQX2IT5/bundle.json","state":"https://pith.science/pith/Y3T2JL7BR3F2KHHLCFQAQX2IT5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y3T2JL7BR3F2KHHLCFQAQX2IT5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:Y3T2JL7BR3F2KHHLCFQAQX2IT5","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"1fd3b79b9d48a9ce89f4bc3508d10460dda56d8894cac6842b4d4dc4004172d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-02-22T02:57:01Z","title_canon_sha256":"c56ea8f372b8772b28ebfaa7326e67fdbb8f8c000475651f62e1dda21317e0cf"},"schema_version":"1.0","source":{"id":"1102.4393","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.4393","created_at":"2026-05-18T01:11:52Z"},{"alias_kind":"arxiv_version","alias_value":"1102.4393v3","created_at":"2026-05-18T01:11:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.4393","created_at":"2026-05-18T01:11:52Z"},{"alias_kind":"pith_short_12","alias_value":"Y3T2JL7BR3F2","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"Y3T2JL7BR3F2KHHL","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"Y3T2JL7B","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:db2f95ec245ea413aec0b8de01ed1be1d810d88a51e67a1cea0b3380e84aa4cc","target":"graph","created_at":"2026-05-18T01:11:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Hidenori Katsurada","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-02-22T02:57:01Z","title":"On the period of the Ikeda lift for U(m,m)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.4393","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b05c64fdba2fc4cd8dac4cda2812db19bc832897aafce18bb201c8b8e7e22fa0","target":"record","created_at":"2026-05-18T01:11:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"1fd3b79b9d48a9ce89f4bc3508d10460dda56d8894cac6842b4d4dc4004172d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-02-22T02:57:01Z","title_canon_sha256":"c56ea8f372b8772b28ebfaa7326e67fdbb8f8c000475651f62e1dda21317e0cf"},"schema_version":"1.0","source":{"id":"1102.4393","kind":"arxiv","version":3}},"canonical_sha256":"c6e7a4afe18ecba51ceb1160085f489f4121d7f035e8ce0a501ba35648034866","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6e7a4afe18ecba51ceb1160085f489f4121d7f035e8ce0a501ba35648034866","first_computed_at":"2026-05-18T01:11:52.138928Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:52.138928Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sQJA7bZ1AXzR4x46v7AHK8nn3Fzvj3cNjhSHcoIf1NIbsZgkTDiVjf/Y0lW91cj4vRUrQZM7LvyPBB5mgQyhCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:52.139247Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.4393","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b05c64fdba2fc4cd8dac4cda2812db19bc832897aafce18bb201c8b8e7e22fa0","sha256:db2f95ec245ea413aec0b8de01ed1be1d810d88a51e67a1cea0b3380e84aa4cc"],"state_sha256":"eecb2e21ea43fcbc7b37a5ef4c522f48c2c5c3a1332fd7f6e65b05cdf981057d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UF6RktaioWHa6qbKXkqTqv9HeHnvZkwqODWjrGNhofKFiUZX4ZbqvI1r4VsehJq235DUsCLIuoo/AnlVU3lSCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T10:45:04.762996Z","bundle_sha256":"b33396e3975929aa095a269d32e6693e9d508783c3d8cce0b1a7256bf117d25a"}}