{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4KH2SFBBAG3E56QYV4CWTDOAZ5","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":"b9ee0996a8c88d5fdc98b071eee3d3097a59be4f80f5a285557526fb18bd9834","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-08-10T04:14:52Z","title_canon_sha256":"7e60299d621f3266be2ee54bc446f6171ac4b7ef2d7e995ddff502f42768275a"},"schema_version":"1.0","source":{"id":"1208.2084","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.2084","created_at":"2026-05-18T03:17:24Z"},{"alias_kind":"arxiv_version","alias_value":"1208.2084v2","created_at":"2026-05-18T03:17:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.2084","created_at":"2026-05-18T03:17:24Z"},{"alias_kind":"pith_short_12","alias_value":"4KH2SFBBAG3E","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4KH2SFBBAG3E56QY","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4KH2SFBB","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:fb0bc2270db0811ca5835854a6c5581d0393e94ae1ded523c70496ee74aae3ce","target":"graph","created_at":"2026-05-18T03:17:24Z","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":"Let $ G $ be a connected, simply connected semisimple algebraic group over the complex number field, and let $ K $ be the fixed point subgroup of an involutive automorphism of $ G $ so that $ (G, K) $ is a symmetric pair.\n  We take parabolic subgroups $ P $ of $ G $ and $ Q $ of $ K $ respectively and consider the product of partial flag varieties $ G/P $ and $ K/Q $ with diagonal $ K $-action, which we call a \\emph{double flag variety for symmetric pair}. It is said to be \\emph{of finite type} if there are only finitely many $ K $-orbits on it.\n  In this paper, we give a parametrization of $ ","authors_text":"Hiroyuki Ochiai, Kyo Nishiyama, Xuhua He, Yoshiki Oshima","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-08-10T04:14:52Z","title":"On orbits in double flag varieties for symmetric pairs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.2084","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":"sha256:7a162e15395ef7db11125ba6f23bd6abe2f2f15a2f8b577cd1e6919dcb3f8b35","target":"record","created_at":"2026-05-18T03:17:24Z","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":"b9ee0996a8c88d5fdc98b071eee3d3097a59be4f80f5a285557526fb18bd9834","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-08-10T04:14:52Z","title_canon_sha256":"7e60299d621f3266be2ee54bc446f6171ac4b7ef2d7e995ddff502f42768275a"},"schema_version":"1.0","source":{"id":"1208.2084","kind":"arxiv","version":2}},"canonical_sha256":"e28fa9142101b64efa18af05698dc0cf647d95033ffa64d0ee9d87a7f3ca3703","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e28fa9142101b64efa18af05698dc0cf647d95033ffa64d0ee9d87a7f3ca3703","first_computed_at":"2026-05-18T03:17:24.896167Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:17:24.896167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X3XBM9hKadm1HZJiCSLtiTMY1HdJMeXZuEbYkwFOAhEwTcQnx1sU0G6sXy/RnBBZC+BmHSLsSBmmgi90QfQQDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:17:24.896936Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.2084","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a162e15395ef7db11125ba6f23bd6abe2f2f15a2f8b577cd1e6919dcb3f8b35","sha256:fb0bc2270db0811ca5835854a6c5581d0393e94ae1ded523c70496ee74aae3ce"],"state_sha256":"8c34980b90a2eda4c1474a484fc0e03aeeddd48e61f1a35b9c1b06fe4bc76b42"}