{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:FWPAP5L7RDFKC5EUNIXE7C25QR","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":"d50c75d1ba77fd5bba67487eedcc3c70d69af0c6e1c75b2672b6cbe6930ff254","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-08-27T16:16:47Z","title_canon_sha256":"b22aec99dc68f5f5bcbd3ac9b0def78d91f03e7e14aa27e694f7fc9e5efc9a11"},"schema_version":"1.0","source":{"id":"1908.10298","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.10298","created_at":"2026-07-05T03:29:12Z"},{"alias_kind":"arxiv_version","alias_value":"1908.10298v2","created_at":"2026-07-05T03:29:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.10298","created_at":"2026-07-05T03:29:12Z"},{"alias_kind":"pith_short_12","alias_value":"FWPAP5L7RDFK","created_at":"2026-07-05T03:29:12Z"},{"alias_kind":"pith_short_16","alias_value":"FWPAP5L7RDFKC5EU","created_at":"2026-07-05T03:29:12Z"},{"alias_kind":"pith_short_8","alias_value":"FWPAP5L7","created_at":"2026-07-05T03:29:12Z"}],"graph_snapshots":[{"event_id":"sha256:e0114181ee1bdd9e7cae13eb4271e7c05d9586c4e97ac52cdca139d7eda417e8","target":"graph","created_at":"2026-07-05T03:29:12Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.10298/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We describe the twisted doubling integrals of Cai-Friedberg-Ginzburg-Kaplan in a conceptual way. This also extends the construction to the quaternionic unitary groups. We carry out the unfolding argument uniformly in this article. To do so, we define a family of degenerate Whittaker coefficients that are suitable in this setup and study some of their properties. We also prove certain related global and local results that use the same tools.","authors_text":"Yuanqing Cai","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-08-27T16:16:47Z","title":"Twisted doubling integrals for classical groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.10298","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":"sha256:601f440458d1ecb78e521f98444986b1e8494ede064a18308a080b60a9d35613","target":"record","created_at":"2026-07-05T03:29:12Z","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":"d50c75d1ba77fd5bba67487eedcc3c70d69af0c6e1c75b2672b6cbe6930ff254","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-08-27T16:16:47Z","title_canon_sha256":"b22aec99dc68f5f5bcbd3ac9b0def78d91f03e7e14aa27e694f7fc9e5efc9a11"},"schema_version":"1.0","source":{"id":"1908.10298","kind":"arxiv","version":2}},"canonical_sha256":"2d9e07f57f88caa174946a2e4f8b5d84469e7e15d5cb9e62b8611692d284cf01","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d9e07f57f88caa174946a2e4f8b5d84469e7e15d5cb9e62b8611692d284cf01","first_computed_at":"2026-07-05T03:29:12.831478Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:29:12.831478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Frny1rK2pPc1uzl0M/b6dnI/TB+3mG9YfQmNy5HJWRuXZys8cXW+/H1NmGv6zfdQw2BVKwXTSSttfxZN3YdGCA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:29:12.831851Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.10298","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:601f440458d1ecb78e521f98444986b1e8494ede064a18308a080b60a9d35613","sha256:e0114181ee1bdd9e7cae13eb4271e7c05d9586c4e97ac52cdca139d7eda417e8"],"state_sha256":"6992844568e2290f63ba59d2c9d127a4f093db1d14239085e4f4aa2c333f8471"}