{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:55UQTNYUPLGKDOQTEIMK7TE422","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":"5d0911d4effbd3e9cf682daeaa815de5d479cd25d67c5dd66c3d214763e5776a","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-01-19T20:59:51Z","title_canon_sha256":"5371ac8575775bff5efddd231142678e69dce2bb0cfff2efb7421e98d867d11c"},"schema_version":"1.0","source":{"id":"1801.06572","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.06572","created_at":"2026-05-17T23:44:59Z"},{"alias_kind":"arxiv_version","alias_value":"1801.06572v1","created_at":"2026-05-17T23:44:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.06572","created_at":"2026-05-17T23:44:59Z"},{"alias_kind":"pith_short_12","alias_value":"55UQTNYUPLGK","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"55UQTNYUPLGKDOQT","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"55UQTNYU","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:0c72d5b6c1c78fb04cc0bcc7c6180aefb1d6cab8e5a8101b97dedd4e9dbcb418","target":"graph","created_at":"2026-05-17T23:44:59Z","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 study local multiplicities associated to the so-called generalized Shalika models. By establishing a local trace formula for these kind of models, we are able to prove a multiplicity formula for discrete series. As a result, we can show that these multiplicities are constant over every discrete Vogan $L$-packet and that they are related to local exterior square $L$-functions.","authors_text":"Chen Wan, Rapha\\\"el Beuzart-Plessis","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-01-19T20:59:51Z","title":"A Local Trace Formula for the Generalized Shalika Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.06572","kind":"arxiv","version":1},"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:cbb0f06ebbd4f28b03357c16c668080ae17cb9752f9eac9017cdbba281d9b891","target":"record","created_at":"2026-05-17T23:44:59Z","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":"5d0911d4effbd3e9cf682daeaa815de5d479cd25d67c5dd66c3d214763e5776a","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-01-19T20:59:51Z","title_canon_sha256":"5371ac8575775bff5efddd231142678e69dce2bb0cfff2efb7421e98d867d11c"},"schema_version":"1.0","source":{"id":"1801.06572","kind":"arxiv","version":1}},"canonical_sha256":"ef6909b7147acca1ba132218afcc9cd699278245362c2f4835d36f50e3941632","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef6909b7147acca1ba132218afcc9cd699278245362c2f4835d36f50e3941632","first_computed_at":"2026-05-17T23:44:59.856561Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:59.856561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mNFCH26xb09WA/4T0avBlGawQFReok5u+ywFeqxMNOiuxwjyyLPU4EDou4fWtzy5ZwGs6EOGTMS5Ar7WA/fhAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:59.857130Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.06572","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cbb0f06ebbd4f28b03357c16c668080ae17cb9752f9eac9017cdbba281d9b891","sha256:0c72d5b6c1c78fb04cc0bcc7c6180aefb1d6cab8e5a8101b97dedd4e9dbcb418"],"state_sha256":"9bec4c0307b05698aa60d328503134d9186d3eb649a8cacb68907402a8bcfdce"}