{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:KNRDTIEU5GAGVD5ZK3XMLAU4JY","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":"8572665a9cf33d0278bb23b63843984b20a1fe60808497d31a2f666414c1cea8","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2025-03-25T23:41:53Z","title_canon_sha256":"2c9afc58389362d80f9d9e7a53c3b6fe317839bd039d2dc7f526351939b736d6"},"schema_version":"1.0","source":{"id":"2503.20116","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.20116","created_at":"2026-06-10T01:08:27Z"},{"alias_kind":"arxiv_version","alias_value":"2503.20116v2","created_at":"2026-06-10T01:08:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.20116","created_at":"2026-06-10T01:08:27Z"},{"alias_kind":"pith_short_12","alias_value":"KNRDTIEU5GAG","created_at":"2026-06-10T01:08:27Z"},{"alias_kind":"pith_short_16","alias_value":"KNRDTIEU5GAGVD5Z","created_at":"2026-06-10T01:08:27Z"},{"alias_kind":"pith_short_8","alias_value":"KNRDTIEU","created_at":"2026-06-10T01:08:27Z"}],"graph_snapshots":[{"event_id":"sha256:f8db3d36bcc366fd33b96432e5ae0f652637b3f76dafd40d72b5583e75924a73","target":"graph","created_at":"2026-06-10T01:08:27Z","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/2503.20116/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove the uniqueness of general Bessel models for $\\mathrm{GSpin}$ groups over a local field of characteristic zero. The proof is to reduce it to the spherical case, which has been proved by Emory and Takeda in the non-archimedean case and by Emory, Kim, and Maiti in the archimedean case.","authors_text":"Pan Yan","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2025-03-25T23:41:53Z","title":"Uniqueness of Bessel models for GSpin groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.20116","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":"sha256:0b176d5810f2281112e47cc7b3f841ab02a518e53bdcd658277cd31019b675fa","target":"record","created_at":"2026-06-10T01:08:27Z","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":"8572665a9cf33d0278bb23b63843984b20a1fe60808497d31a2f666414c1cea8","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2025-03-25T23:41:53Z","title_canon_sha256":"2c9afc58389362d80f9d9e7a53c3b6fe317839bd039d2dc7f526351939b736d6"},"schema_version":"1.0","source":{"id":"2503.20116","kind":"arxiv","version":2}},"canonical_sha256":"536239a094e9806a8fb956eec5829c4e1679ea941ad88a1262f6798d4a69bf48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"536239a094e9806a8fb956eec5829c4e1679ea941ad88a1262f6798d4a69bf48","first_computed_at":"2026-06-10T01:08:27.387547Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-10T01:08:27.387547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YU/UDP3dR6ZXcomX4F0N/5i5pLjXx8JVJjcTkDuk5LltUJM0CxrLJ9S3qERAk00WW0/9PrXanBfn/ivsZdFmAA==","signature_status":"signed_v1","signed_at":"2026-06-10T01:08:27.388670Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.20116","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b176d5810f2281112e47cc7b3f841ab02a518e53bdcd658277cd31019b675fa","sha256:f8db3d36bcc366fd33b96432e5ae0f652637b3f76dafd40d72b5583e75924a73"],"state_sha256":"3956bd1e3c094158a0557ea4eb61dbf07b0055b451ef7a398c169524a29cb2e4"}