{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:DZ4TMYQHXX6JO5JYXGNWUZOUP4","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":"bf899a0cb38c4f5e538baf8720b073e0ea603ba9baea1637373d1db7b5858be7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-03-18T04:14:35Z","title_canon_sha256":"d53c52d3c25433afeafb919cab7f923625756ff42b5d028a5123fa9769655ba1"},"schema_version":"1.0","source":{"id":"1403.4337","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.4337","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"arxiv_version","alias_value":"1403.4337v1","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.4337","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"pith_short_12","alias_value":"DZ4TMYQHXX6J","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DZ4TMYQHXX6JO5JY","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DZ4TMYQH","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:083adb9cb472609152c298b94faf0a19ef103b710fdf880760d0d12f983ca77e","target":"graph","created_at":"2026-05-18T02:56:05Z","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 generalize in positive characteristics some results of Bien and Brion on log homogeneous compactifications of a homogeneous space under the action of a connected reductive group. We also construct an explicit smooth log homogeneous compactification of the general linear group by successive blow-ups starting from a grassmannian. By taking fixed points of certain involutions on this compactification, we obtain smooth log homogeneous compactifications of the special orthogonal and the symplectic groups.","authors_text":"Mathieu Huruguen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-03-18T04:14:35Z","title":"Log homogeneous compactifications of some classical groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.4337","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:b61acdebc1960de842bf059999a3f8c1fec90436f4968b155d1e1a99a66124ad","target":"record","created_at":"2026-05-18T02:56:05Z","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":"bf899a0cb38c4f5e538baf8720b073e0ea603ba9baea1637373d1db7b5858be7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-03-18T04:14:35Z","title_canon_sha256":"d53c52d3c25433afeafb919cab7f923625756ff42b5d028a5123fa9769655ba1"},"schema_version":"1.0","source":{"id":"1403.4337","kind":"arxiv","version":1}},"canonical_sha256":"1e79366207bdfc977538b99b6a65d47f15a96e95fc652ac7eab73287af532a62","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e79366207bdfc977538b99b6a65d47f15a96e95fc652ac7eab73287af532a62","first_computed_at":"2026-05-18T02:56:05.976425Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:05.976425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6LIOPhpIpnwaAaS2uoiQO35cwcy0odr7qqq+1lrLTAhw8cl+wobqrmwQN1GwCTiKw0svJGyaVNpMvcCtV3f8Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:05.976847Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.4337","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b61acdebc1960de842bf059999a3f8c1fec90436f4968b155d1e1a99a66124ad","sha256:083adb9cb472609152c298b94faf0a19ef103b710fdf880760d0d12f983ca77e"],"state_sha256":"b218ab87f0552687283f4b8a1cb661c9c0dbbf7068eca6850c0d4aa40ae47074"}