{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VRZ4ZUBOD4FQPEFMYFU3V7XCJN","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":"b6c3de24d3c795c273a74d57d66f1c07a81c050592eb565801c8bad6992536d7","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-02-12T03:58:44Z","title_canon_sha256":"32376d1a80ba7e4fa436dfd499a7e7eb370fc935f96f06bcab5d1eb9ba224158"},"schema_version":"1.0","source":{"id":"1502.03528","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.03528","created_at":"2026-05-18T00:50:29Z"},{"alias_kind":"arxiv_version","alias_value":"1502.03528v3","created_at":"2026-05-18T00:50:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.03528","created_at":"2026-05-18T00:50:29Z"},{"alias_kind":"pith_short_12","alias_value":"VRZ4ZUBOD4FQ","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"VRZ4ZUBOD4FQPEFM","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"VRZ4ZUBO","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:3d78acf19a9ff42def13c3a4945e3133c129bd79b0fad2b4eba439c13114dc84","target":"graph","created_at":"2026-05-18T00:50:29Z","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 prove the local Gan-Gross-Prasad conjecture for the symplectic-metaplectic case under some assumptions. This is the last case of the local Gan-Gross-Prasad conjectures. We also prove two of Prasad's conjectures on the local theta correspondence in the almost equal rank case.","authors_text":"Hiraku Atobe","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-02-12T03:58:44Z","title":"The local theta correspondence and the local Gan-Gross-Prasad conjecture for the symplectic-metaplectic case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.03528","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":"sha256:09749582ba86f9db2ccce212762e15a6e47a591da7b9161f97d6e2d61ec38263","target":"record","created_at":"2026-05-18T00:50:29Z","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":"b6c3de24d3c795c273a74d57d66f1c07a81c050592eb565801c8bad6992536d7","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-02-12T03:58:44Z","title_canon_sha256":"32376d1a80ba7e4fa436dfd499a7e7eb370fc935f96f06bcab5d1eb9ba224158"},"schema_version":"1.0","source":{"id":"1502.03528","kind":"arxiv","version":3}},"canonical_sha256":"ac73ccd02e1f0b0790acc169bafee24b6368b18f4fc32ea2c67940e4a9a32fc3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac73ccd02e1f0b0790acc169bafee24b6368b18f4fc32ea2c67940e4a9a32fc3","first_computed_at":"2026-05-18T00:50:29.962714Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:29.962714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LQQ1FdpwejbJFL3FyDlbIaqbJfWWYUcvaHBGEDJLis4iZtJcLHO1IWTSpegmCOxkAVIQywC/j6yWgEIVVUPkCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:29.963497Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.03528","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:09749582ba86f9db2ccce212762e15a6e47a591da7b9161f97d6e2d61ec38263","sha256:3d78acf19a9ff42def13c3a4945e3133c129bd79b0fad2b4eba439c13114dc84"],"state_sha256":"3fdf11be09aac28b58349ae85d2fdb2a1993afcb79ed60f01cb735954605bf90"}