{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YPMBHU3OLFLYNUG3DBIMJIALAM","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":"2d53dd11e10f72e9c4d1e68785eced0eae2aee4b404c8586149ee218070f7442","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-10-09T14:24:43Z","title_canon_sha256":"dadcb675b16ce4665fee55a5797ebd126b453ed3000819fad94c298e4f8c0a0d"},"schema_version":"1.0","source":{"id":"1210.2608","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.2608","created_at":"2026-05-18T03:17:11Z"},{"alias_kind":"arxiv_version","alias_value":"1210.2608v2","created_at":"2026-05-18T03:17:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.2608","created_at":"2026-05-18T03:17:11Z"},{"alias_kind":"pith_short_12","alias_value":"YPMBHU3OLFLY","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YPMBHU3OLFLYNUG3","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YPMBHU3O","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:f25fdbc0a00fab49277543e12b2bef3d09db2ef2ecfb6ce179fc06d5429033c1","target":"graph","created_at":"2026-05-18T03:17:11Z","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":"In this paper, we give a method to compute p-stabilized vectors in the space of parahori-fixed vectors for connected reductive groups over p-adic fields. The application to the global setting is also discussed. In particular, we give an explicit p-stabilized form of a Saito-Kurokawa lift.","authors_text":"Michitaka Miyauchi, Takuya Yamauchi","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-10-09T14:24:43Z","title":"An explicit computation of p-stabilized vectors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.2608","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":"sha256:65094e1605335e7f11c1f8505ea1c180dd2db5c7dbb0749c654c12ded1142132","target":"record","created_at":"2026-05-18T03:17:11Z","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":"2d53dd11e10f72e9c4d1e68785eced0eae2aee4b404c8586149ee218070f7442","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-10-09T14:24:43Z","title_canon_sha256":"dadcb675b16ce4665fee55a5797ebd126b453ed3000819fad94c298e4f8c0a0d"},"schema_version":"1.0","source":{"id":"1210.2608","kind":"arxiv","version":2}},"canonical_sha256":"c3d813d36e595786d0db1850c4a00b03230d6be5b4bfe448c384234df3041ce3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3d813d36e595786d0db1850c4a00b03230d6be5b4bfe448c384234df3041ce3","first_computed_at":"2026-05-18T03:17:11.892405Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:17:11.892405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AZ4G76EQBntUDo1C/J/8uZrgjGEXxw/3LOBuBm+8okKWZlDtrHPB5Jz+Ab/5nK/3sPRMaHR/OfuaCt5HKzeBAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:17:11.893046Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.2608","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65094e1605335e7f11c1f8505ea1c180dd2db5c7dbb0749c654c12ded1142132","sha256:f25fdbc0a00fab49277543e12b2bef3d09db2ef2ecfb6ce179fc06d5429033c1"],"state_sha256":"3e04e63f7cf38a733b2379126911a6f62763f26b91ad70b92ced9fb9982f0d1e"}