{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:A5X2ZY5RPGGDWPIEMUKQWGXTOT","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":"08bb8e3c5a0b04dc75c036b125a4bbe93901a5ed25a81aeda75e999066f4c79b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-05-23T09:20:09Z","title_canon_sha256":"29caffea7bc7a845d56cd03771bef593dacd23219d57f0d9e150888306463d40"},"schema_version":"1.0","source":{"id":"1805.09020","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.09020","created_at":"2026-05-18T00:15:08Z"},{"alias_kind":"arxiv_version","alias_value":"1805.09020v1","created_at":"2026-05-18T00:15:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.09020","created_at":"2026-05-18T00:15:08Z"},{"alias_kind":"pith_short_12","alias_value":"A5X2ZY5RPGGD","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"A5X2ZY5RPGGDWPIE","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"A5X2ZY5R","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:4081d93fe42f1119c98fd668b8743e20f696e4f301084679c4e436a586e1c22a","target":"graph","created_at":"2026-05-18T00:15:08Z","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 $G = GL(V)$ for an N-dimensional vector space $V$ over an algebraically closed field k, and $G^{\\theta}$ the fixed point subgroup of $G$ under an involution $\\theta$ on $G$. In the case where $G^{\\theta} = O(V)$, the generalized Springer correspondence for the unipotent variety of the symmetric space $G/G^{\\theta}$ was studied by last two authors, under the assumption that ch k is odd. The definition of $\\theta$, and of the associated symmetric space given there make sense even if ch k = 2. In this paper, we discuss the Springer correspondence for those symmetric spaces of even characteris","authors_text":"Gao Yang, Junbin Dong, Toshiaki Shoji","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-05-23T09:20:09Z","title":"Symmetric spaces associated to classical groups with even characteristic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.09020","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":"sha256:5a8f3eba0e1067bd5e391a6d8d9d836718c0cb2ab58326157f3c818e4f6a44b9","target":"record","created_at":"2026-05-18T00:15:08Z","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":"08bb8e3c5a0b04dc75c036b125a4bbe93901a5ed25a81aeda75e999066f4c79b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-05-23T09:20:09Z","title_canon_sha256":"29caffea7bc7a845d56cd03771bef593dacd23219d57f0d9e150888306463d40"},"schema_version":"1.0","source":{"id":"1805.09020","kind":"arxiv","version":1}},"canonical_sha256":"076face3b1798c3b3d0465150b1af374fd311a4a87432cda7ef9be27d7ffcd3b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"076face3b1798c3b3d0465150b1af374fd311a4a87432cda7ef9be27d7ffcd3b","first_computed_at":"2026-05-18T00:15:08.747801Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:08.747801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DnXinZMEQthMz70kSffM/Nt88uLZGfyrK48nQrkUMHYjrpZxarh1Hu8CTQbASgugMQfEhrAww1Bwx16NxmI4DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:08.748233Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.09020","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a8f3eba0e1067bd5e391a6d8d9d836718c0cb2ab58326157f3c818e4f6a44b9","sha256:4081d93fe42f1119c98fd668b8743e20f696e4f301084679c4e436a586e1c22a"],"state_sha256":"3bea980e63eac96d0ccbbe6805379ed5b9800f2614512854cf5b0fc3ba22fc04"}