{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:RPWGWNXLDKSGL3OQ27C27ZQXDU","short_pith_number":"pith:RPWGWNXL","schema_version":"1.0","canonical_sha256":"8bec6b36eb1aa465edd0d7c5afe6171d0af66985e192749700087592d87bc637","source":{"kind":"arxiv","id":"1302.6715","version":2},"attestation_state":"computed","paper":{"title":"Bruhat strata and F-zips with additional structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Torsten Wedhorn","submitted_at":"2013-02-27T10:44:50Z","abstract_excerpt":"In this paper we study the Bruhat decomposition of not necessarily connected reductive quasi-split groups $G$ with respect to not necessarily connected parabolic subgroups. If $G$ is defined over a finite field, we construct a smooth morphism from the stack classifying $F$-zips with $G$-structure to the stack classifying the generalized Bruhat cells and study the relation between the resulting stratifications. We apply these general results to the twisted orthogonal $F$-zip given by the second De Rham cohomology of a relative surface, focussing on K3-surfaces."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1302.6715","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-02-27T10:44:50Z","cross_cats_sorted":[],"title_canon_sha256":"1d7d63c0ed965f722c2d8ad544bc34bf6d6b4629a1e46dd251626c7d3fb52c1a","abstract_canon_sha256":"e5bc586c7cdfea8ff0489c278ff70b672092970ee19ef9db639c3d2311321f5d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:03:56.865723Z","signature_b64":"i5fUiCqzFSsnDGsJWjr0UgJvyPbXiKlUrYKj2YZsULEP3peM3a5OcDW3oj9p71oUxncFJLrV5bag5WrPOR4pDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8bec6b36eb1aa465edd0d7c5afe6171d0af66985e192749700087592d87bc637","last_reissued_at":"2026-05-18T03:03:56.865118Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:03:56.865118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bruhat strata and F-zips with additional structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Torsten Wedhorn","submitted_at":"2013-02-27T10:44:50Z","abstract_excerpt":"In this paper we study the Bruhat decomposition of not necessarily connected reductive quasi-split groups $G$ with respect to not necessarily connected parabolic subgroups. If $G$ is defined over a finite field, we construct a smooth morphism from the stack classifying $F$-zips with $G$-structure to the stack classifying the generalized Bruhat cells and study the relation between the resulting stratifications. We apply these general results to the twisted orthogonal $F$-zip given by the second De Rham cohomology of a relative surface, focussing on K3-surfaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.6715","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1302.6715","created_at":"2026-05-18T03:03:56.865211+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.6715v2","created_at":"2026-05-18T03:03:56.865211+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.6715","created_at":"2026-05-18T03:03:56.865211+00:00"},{"alias_kind":"pith_short_12","alias_value":"RPWGWNXLDKSG","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_16","alias_value":"RPWGWNXLDKSGL3OQ","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_8","alias_value":"RPWGWNXL","created_at":"2026-05-18T12:27:59.945178+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RPWGWNXLDKSGL3OQ27C27ZQXDU","json":"https://pith.science/pith/RPWGWNXLDKSGL3OQ27C27ZQXDU.json","graph_json":"https://pith.science/api/pith-number/RPWGWNXLDKSGL3OQ27C27ZQXDU/graph.json","events_json":"https://pith.science/api/pith-number/RPWGWNXLDKSGL3OQ27C27ZQXDU/events.json","paper":"https://pith.science/paper/RPWGWNXL"},"agent_actions":{"view_html":"https://pith.science/pith/RPWGWNXLDKSGL3OQ27C27ZQXDU","download_json":"https://pith.science/pith/RPWGWNXLDKSGL3OQ27C27ZQXDU.json","view_paper":"https://pith.science/paper/RPWGWNXL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.6715&json=true","fetch_graph":"https://pith.science/api/pith-number/RPWGWNXLDKSGL3OQ27C27ZQXDU/graph.json","fetch_events":"https://pith.science/api/pith-number/RPWGWNXLDKSGL3OQ27C27ZQXDU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RPWGWNXLDKSGL3OQ27C27ZQXDU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RPWGWNXLDKSGL3OQ27C27ZQXDU/action/storage_attestation","attest_author":"https://pith.science/pith/RPWGWNXLDKSGL3OQ27C27ZQXDU/action/author_attestation","sign_citation":"https://pith.science/pith/RPWGWNXLDKSGL3OQ27C27ZQXDU/action/citation_signature","submit_replication":"https://pith.science/pith/RPWGWNXLDKSGL3OQ27C27ZQXDU/action/replication_record"}},"created_at":"2026-05-18T03:03:56.865211+00:00","updated_at":"2026-05-18T03:03:56.865211+00:00"}