{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PXPPLQFW7EGRYDWG3X673AELHL","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":"c3da600e6bec2d171d6d4315e1c0f582aaf131c3f3df1cbbdf5d690b1046267f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-10-04T15:46:29Z","title_canon_sha256":"c079ef2092a2fed219aad0239bfe582ea99e023c86241ef5f266df76bf797a05"},"schema_version":"1.0","source":{"id":"1510.00943","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.00943","created_at":"2026-05-18T01:06:29Z"},{"alias_kind":"arxiv_version","alias_value":"1510.00943v2","created_at":"2026-05-18T01:06:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.00943","created_at":"2026-05-18T01:06:29Z"},{"alias_kind":"pith_short_12","alias_value":"PXPPLQFW7EGR","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PXPPLQFW7EGRYDWG","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PXPPLQFW","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:6546f38252cdad49dee53477c8a88c5a2351752f9e477c73c3e7bea4a02d8dd5","target":"graph","created_at":"2026-05-18T01:06:29Z","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":"We give an explicit construction of vector-valued Yoshida lifts and derive a formula of the Bessel periods of Yoshida lifts, by which we prove the non-vanishing modulo a prime of Yoshida lifts attached to a pair of elliptic modular newforms. As a consequence, we obtain a new proof of the non-vanishing of Yoshida lifts.","authors_text":"Kenichi Namikawa, Ming-Lun Hsieh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-10-04T15:46:29Z","title":"Bessel periods and the non-vanishing of Yoshida lifts modulo a prime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.00943","kind":"arxiv","version":2},"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":"sha256:873bd187207910bf34f53e34f10bd66827d773e65761bf64f08f5bcc42785041","target":"record","created_at":"2026-05-18T01:06:29Z","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":"c3da600e6bec2d171d6d4315e1c0f582aaf131c3f3df1cbbdf5d690b1046267f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-10-04T15:46:29Z","title_canon_sha256":"c079ef2092a2fed219aad0239bfe582ea99e023c86241ef5f266df76bf797a05"},"schema_version":"1.0","source":{"id":"1510.00943","kind":"arxiv","version":2}},"canonical_sha256":"7ddef5c0b6f90d1c0ec6ddfdfd808b3adf2fb634e5ae30e0b5b7d49f83ff4523","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ddef5c0b6f90d1c0ec6ddfdfd808b3adf2fb634e5ae30e0b5b7d49f83ff4523","first_computed_at":"2026-05-18T01:06:29.111098Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:29.111098Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Of9GzznLV2kZhgxqr5X9ASfm/6MLSq2ZbUusfJYWTU8GZBBlV3HR0lQSVlYRHS2YtJ2JFIfhA6UYbdWFRajdDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:29.111762Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.00943","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:873bd187207910bf34f53e34f10bd66827d773e65761bf64f08f5bcc42785041","sha256:6546f38252cdad49dee53477c8a88c5a2351752f9e477c73c3e7bea4a02d8dd5"],"state_sha256":"7ffeac7e968fbcff066d13f1142d84d43ab852f88f8493a2d2bc388c11797fe3"}