{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:Z5XJ7H6RVZ7BHVMJWCZ4BBAV7D","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":"810a0716f6298f31f609f97b4f77fa1abd9209a9662a15aea3d6806923dc5998","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2009-11-24T10:27:59Z","title_canon_sha256":"fa47a38e510ec52e9af4afd0bc6017c5878c88be8a32722d25cd1faedc789adc"},"schema_version":"1.0","source":{"id":"0911.4593","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.4593","created_at":"2026-05-18T04:40:08Z"},{"alias_kind":"arxiv_version","alias_value":"0911.4593v2","created_at":"2026-05-18T04:40:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.4593","created_at":"2026-05-18T04:40:08Z"},{"alias_kind":"pith_short_12","alias_value":"Z5XJ7H6RVZ7B","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"Z5XJ7H6RVZ7BHVMJ","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"Z5XJ7H6R","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:524cfb44b3b08d1f37d0ecd03c60dec490bb5483040971c3a1c4fc68866d22c1","target":"graph","created_at":"2026-05-18T04:40:08Z","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":"We give a generalisation of Deligne-Lusztig varieties for general and special linear groups over finite quotients of the ring of integers in a non-archimedean local field. Previously, a generalisation was given by Lusztig by attaching certain varieties to unramified maximal tori inside Borel subgroups. In this paper we associate a family of so-called extended Deligne-Lusztig varieties to all tamely ramified maximal tori of the group.\n  Moreover, we analyse the structure of various generalised Deligne-Lusztig varieties, and show that the \"unramified\" varieties, including a certain natural gener","authors_text":"Alexander Stasinski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2009-11-24T10:27:59Z","title":"Extended Deligne-Lusztig varieties for general and special linear groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.4593","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":"sha256:4fcb70dda88627fe38a9d83a34d2b508d1cb6abebbf5fb7c1b5b20a2b0bace62","target":"record","created_at":"2026-05-18T04:40:08Z","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":"810a0716f6298f31f609f97b4f77fa1abd9209a9662a15aea3d6806923dc5998","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2009-11-24T10:27:59Z","title_canon_sha256":"fa47a38e510ec52e9af4afd0bc6017c5878c88be8a32722d25cd1faedc789adc"},"schema_version":"1.0","source":{"id":"0911.4593","kind":"arxiv","version":2}},"canonical_sha256":"cf6e9f9fd1ae7e13d589b0b3c08415f8e626fae98517a524e3f1bb3d702e2dae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf6e9f9fd1ae7e13d589b0b3c08415f8e626fae98517a524e3f1bb3d702e2dae","first_computed_at":"2026-05-18T04:40:08.350689Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:08.350689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+DHNWDPoGaRJMGyykcCRQU2Hgpw5t8S6jcE421P/JeJIyYa7ryCun2uPko3lq2mWVRH+jYCWyAoLUFPrZxoxCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:08.351136Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.4593","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4fcb70dda88627fe38a9d83a34d2b508d1cb6abebbf5fb7c1b5b20a2b0bace62","sha256:524cfb44b3b08d1f37d0ecd03c60dec490bb5483040971c3a1c4fc68866d22c1"],"state_sha256":"fd53717cb16fecda569a1f95db664da6d308ecc36c85deae8515e729dc642848"}