{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:BLDEHFPHOYDYHMAPV67VQQ4YCR","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":"e5177ca7c64cbbe3b04556e64c55306b7fb39058a0ce2cfba287b07dcd968e9b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-06-11T13:16:12Z","title_canon_sha256":"d42459412a11b0585db45f18cf6329366a3f300ae9e862e7d4935aafba729e33"},"schema_version":"1.0","source":{"id":"1206.2193","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.2193","created_at":"2026-05-18T03:53:53Z"},{"alias_kind":"arxiv_version","alias_value":"1206.2193v1","created_at":"2026-05-18T03:53:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.2193","created_at":"2026-05-18T03:53:53Z"},{"alias_kind":"pith_short_12","alias_value":"BLDEHFPHOYDY","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"BLDEHFPHOYDYHMAP","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"BLDEHFPH","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:fca82477c9d5809cc127052d9431d29170606971491ffef8f6f4d9ef4f4a5d72","target":"graph","created_at":"2026-05-18T03:53:53Z","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 formalise a notion of $p$-adic Langlands functoriality for the definite unitary group. This extends the classical notion of Langlands functoriality to the setting of eigenvarieties. We apply some results of Chenevier to obtain some cases of $p$-adic Langlands functoriality by interpolating known cases of classical Langlands functoriality.","authors_text":"Paul-James White","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-06-11T13:16:12Z","title":"$p$-adic Langlands functoriality for the definite unitary group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.2193","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":"sha256:3c388df09ee50bd45d03a58868b3b844d785078a3c11ce250d47b4416e4a2e7c","target":"record","created_at":"2026-05-18T03:53:53Z","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":"e5177ca7c64cbbe3b04556e64c55306b7fb39058a0ce2cfba287b07dcd968e9b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-06-11T13:16:12Z","title_canon_sha256":"d42459412a11b0585db45f18cf6329366a3f300ae9e862e7d4935aafba729e33"},"schema_version":"1.0","source":{"id":"1206.2193","kind":"arxiv","version":1}},"canonical_sha256":"0ac64395e7760783b00fafbf584398146bc285bf78842ca837eacbd0857d4814","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ac64395e7760783b00fafbf584398146bc285bf78842ca837eacbd0857d4814","first_computed_at":"2026-05-18T03:53:53.228562Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:53:53.228562Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wr30v8HduvXBksPZH4E97FHYseIBPqODwg9shsKyQpOxUpdmLGVoTOpE8GHjyZy3eTXBNQviAuToTTZ2alyJCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:53:53.229281Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.2193","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c388df09ee50bd45d03a58868b3b844d785078a3c11ce250d47b4416e4a2e7c","sha256:fca82477c9d5809cc127052d9431d29170606971491ffef8f6f4d9ef4f4a5d72"],"state_sha256":"4bac46420fb0ff86bf575feea98504d69e89fb6239fddd6cd5c3f5d8cc21f78a"}