{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:7JJ33CLOOSCJBG4TCUWKKKKUC4","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":"ce616b877dca2f6e2eef59e66c5f1364134f99369d488ccedd6af0d6e0e50d07","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-03-15T02:47:23Z","title_canon_sha256":"8df68e18210bd17a1107fffd0e8ba088d9eac8d4e8d83366328b220372290343"},"schema_version":"1.0","source":{"id":"1903.06335","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.06335","created_at":"2026-05-17T23:51:11Z"},{"alias_kind":"arxiv_version","alias_value":"1903.06335v1","created_at":"2026-05-17T23:51:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.06335","created_at":"2026-05-17T23:51:11Z"},{"alias_kind":"pith_short_12","alias_value":"7JJ33CLOOSCJ","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"7JJ33CLOOSCJBG4T","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"7JJ33CLO","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:1c40d6d305822d328a6cc6f5f8cb3fc86b642603c2fbb213b069a12cc1636131","target":"graph","created_at":"2026-05-17T23:51:11Z","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":"Let $G$ be the split orthogonal group of degree $2n$ over an arbitrary infinite field $\\mathbb{F}$ of chararcteristic not $2$. In this paper, we classify multiple flag varieties $G/P_1\\times\\cdots\\times G/P_k$ of finite type. Here a multiple flag variety is said to be of finite type if it has a finite number of $G$-orbits with respect to the diagonal action of $G$.","authors_text":"Toshihiko Matsuki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-03-15T02:47:23Z","title":"Orthogonal multiple flag varieties of finite type II : even degree case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.06335","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:b4bfcbd632d2767022a7f249292082cc206cbbf952706efa15ba0da57117b114","target":"record","created_at":"2026-05-17T23:51:11Z","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":"ce616b877dca2f6e2eef59e66c5f1364134f99369d488ccedd6af0d6e0e50d07","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-03-15T02:47:23Z","title_canon_sha256":"8df68e18210bd17a1107fffd0e8ba088d9eac8d4e8d83366328b220372290343"},"schema_version":"1.0","source":{"id":"1903.06335","kind":"arxiv","version":1}},"canonical_sha256":"fa53bd896e7484909b93152ca5295417197849262f2bbeae2350c1fe1ace7859","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa53bd896e7484909b93152ca5295417197849262f2bbeae2350c1fe1ace7859","first_computed_at":"2026-05-17T23:51:11.091124Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:11.091124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9coYYZDme/SWz2QnjtMyXJnopKIFVph6ip5bnj1gmJ1adF1BAFbqHTJTgciOqnHhMtfbBk97m2fjA6isTmgUDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:11.091523Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.06335","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b4bfcbd632d2767022a7f249292082cc206cbbf952706efa15ba0da57117b114","sha256:1c40d6d305822d328a6cc6f5f8cb3fc86b642603c2fbb213b069a12cc1636131"],"state_sha256":"9de9bb7f65b8fc779d1d08381519a4d045ec9acbfdb2506450a8b58459694f40"}