{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4KJLDT4ZOXGMOFE5PHPWTUUI45","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":"1914753396de534e3275c4c00974d799cd1415fcf8ad7212ead8943608c22427","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-04-06T17:56:07Z","title_canon_sha256":"37fb73d85dc49a603860a0032c2dabf7b68def6d71ce18cd8c0f125d3fad66f9"},"schema_version":"1.0","source":{"id":"1804.02383","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.02383","created_at":"2026-05-18T00:16:07Z"},{"alias_kind":"arxiv_version","alias_value":"1804.02383v2","created_at":"2026-05-18T00:16:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.02383","created_at":"2026-05-18T00:16:07Z"},{"alias_kind":"pith_short_12","alias_value":"4KJLDT4ZOXGM","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4KJLDT4ZOXGMOFE5","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4KJLDT4Z","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:af18b5e0f35b7bb2edf3ad668e38eb174816dccdbf24d5b343f0c27e6840fdca","target":"graph","created_at":"2026-05-18T00:16:07Z","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":"The Langlands functoriality conjecture, as reformulated in the \"beyond endoscopy\" program, predicts comparisons between the (stable) trace formulas of different groups $G_1, G_2$ for every morphism ${^LG}_1\\to {^LG}_2$ between their $L$-groups. This conjecture can be seen as a special case of a more general conjecture, which replaces reductive groups by spherical varieties and the trace formula by its generalization, the relative trace formula.\n  The goal of this article and its continuation is to demonstrate, by example, the existence of \"transfer operators\" betweeen relative trace formulas, ","authors_text":"Yiannis Sakellaridis","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-04-06T17:56:07Z","title":"Transfer operators and Hankel transforms between relative trace formulas, I: character theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.02383","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":"sha256:8ac5313c807efd28877e791972b8a8a277808357adc3caa55546467ec1d3a5cc","target":"record","created_at":"2026-05-18T00:16:07Z","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":"1914753396de534e3275c4c00974d799cd1415fcf8ad7212ead8943608c22427","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-04-06T17:56:07Z","title_canon_sha256":"37fb73d85dc49a603860a0032c2dabf7b68def6d71ce18cd8c0f125d3fad66f9"},"schema_version":"1.0","source":{"id":"1804.02383","kind":"arxiv","version":2}},"canonical_sha256":"e292b1cf9975ccc7149d79df69d288e77d4d2241a38172e55ed11f8430bcef32","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e292b1cf9975ccc7149d79df69d288e77d4d2241a38172e55ed11f8430bcef32","first_computed_at":"2026-05-18T00:16:07.546735Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:07.546735Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hauVDeMdPeLHqTdZKymhv4XbgbQYJO7oulEuWW/ypu3cQteo1W2LlA7W4s4L+fvo1dQJa1rHgpZrs5OT9Zw1Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:07.547394Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.02383","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ac5313c807efd28877e791972b8a8a277808357adc3caa55546467ec1d3a5cc","sha256:af18b5e0f35b7bb2edf3ad668e38eb174816dccdbf24d5b343f0c27e6840fdca"],"state_sha256":"45f120314c93fe242e5c102aaf3ff15f06f872312ec3bef78b0141f50242f431"}