{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:N5N3RNHSS2425DKSPVNJB6LBWS","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":"58a26a39b9696978976d5a654f5aa26034b0716b0bc10573ad43f332af0247a5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-03-21T12:47:54Z","title_canon_sha256":"fe931655b5067ff34c24ee593fcaacb15ef18ac1bb337205568943eb1c35e33c"},"schema_version":"1.0","source":{"id":"1303.5246","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.5246","created_at":"2026-05-18T03:28:04Z"},{"alias_kind":"arxiv_version","alias_value":"1303.5246v2","created_at":"2026-05-18T03:28:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.5246","created_at":"2026-05-18T03:28:04Z"},{"alias_kind":"pith_short_12","alias_value":"N5N3RNHSS242","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"N5N3RNHSS2425DKS","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"N5N3RNHS","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:c306ea850c4ed1b29e3879bd4f90ae67f6d740c7db508c373baa273e33f4993d","target":"graph","created_at":"2026-05-18T03:28:04Z","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 prove an algebraicity property for a certain ratio of Petersson norms associated to a Siegel cusp form of degree 2 (and arbitrary level) whose adelization generates a weak endoscopic lift. As a preparation for this, we explicate various features of the correspondence between scalar valued Siegel cusp forms of degree n and automorphic representations on GSp_{2n}.","authors_text":"Abhishek Saha","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-03-21T12:47:54Z","title":"On ratios of Petersson norms for Yoshida lifts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.5246","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":"sha256:9c372bdf076e92176a1e32d52ba9991bfa27761e6a1273b57a95dfb18719441e","target":"record","created_at":"2026-05-18T03:28:04Z","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":"58a26a39b9696978976d5a654f5aa26034b0716b0bc10573ad43f332af0247a5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-03-21T12:47:54Z","title_canon_sha256":"fe931655b5067ff34c24ee593fcaacb15ef18ac1bb337205568943eb1c35e33c"},"schema_version":"1.0","source":{"id":"1303.5246","kind":"arxiv","version":2}},"canonical_sha256":"6f5bb8b4f296b9ae8d527d5a90f961b4a5ae6c36cc4843b8de1064e71d147bdb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f5bb8b4f296b9ae8d527d5a90f961b4a5ae6c36cc4843b8de1064e71d147bdb","first_computed_at":"2026-05-18T03:28:04.818929Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:28:04.818929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+0qFV8nHSM6fmtH8hvzBO+6ZuBDkvyPArfErWLD9vBlRsi0yEIGPceUz9hCAgKCOr+q1ChDq7TFDC6yY7pQpBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:28:04.819665Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.5246","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c372bdf076e92176a1e32d52ba9991bfa27761e6a1273b57a95dfb18719441e","sha256:c306ea850c4ed1b29e3879bd4f90ae67f6d740c7db508c373baa273e33f4993d"],"state_sha256":"10dfa9f0a992fade4a281ffa0384c7d191a7340fba154bff679071f585bd8ca3"}