{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZLQF4JG337DQA2DYWKTFV7WG3A","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":"d21260f2af0df13daa2fba3885fb14a4f747a4dff78f08e0d3f37ba886479c74","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-01T17:31:41Z","title_canon_sha256":"2698966dc7bf725fa5b35fb659d82830e2baf76c787bc25225fceb57861f4a97"},"schema_version":"1.0","source":{"id":"1512.00354","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.00354","created_at":"2026-05-18T01:25:32Z"},{"alias_kind":"arxiv_version","alias_value":"1512.00354v1","created_at":"2026-05-18T01:25:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.00354","created_at":"2026-05-18T01:25:32Z"},{"alias_kind":"pith_short_12","alias_value":"ZLQF4JG337DQ","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZLQF4JG337DQA2DY","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZLQF4JG3","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:e7b1285946947ccea0afc2dc4ac62c53d173c6a579da533002dca0924e2b4b2b","target":"graph","created_at":"2026-05-18T01:25:32Z","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 R be a semi-local Dedekind domain and let K be the field of fractions of R. Let G be a reductive semisimple simply connected R-group scheme such that every semisimple normal R-subgroup scheme of G contains a split R-torus G_m. We prove that the kernel of the map H^1_et(R,G)-> H^1_et(K,G) induced by the inclusion of R into K, is trivial. This result partially extends a theorem of Nisnevich.","authors_text":"Anastasia Stavrova, Ivan Panin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-01T17:31:41Z","title":"On the Grothendieck--Serre conjecture concerning principal G-bundles over semi-local Dedekind domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.00354","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":"sha256:107de118107fa485f812565e834a863ef82f7ff3f076e43efd5fde1c1c16a7c3","target":"record","created_at":"2026-05-18T01:25:32Z","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":"d21260f2af0df13daa2fba3885fb14a4f747a4dff78f08e0d3f37ba886479c74","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-01T17:31:41Z","title_canon_sha256":"2698966dc7bf725fa5b35fb659d82830e2baf76c787bc25225fceb57861f4a97"},"schema_version":"1.0","source":{"id":"1512.00354","kind":"arxiv","version":1}},"canonical_sha256":"cae05e24dbdfc7006878b2a65afec6d8018f2007ce2c604fbec71061d82bda5a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cae05e24dbdfc7006878b2a65afec6d8018f2007ce2c604fbec71061d82bda5a","first_computed_at":"2026-05-18T01:25:32.143003Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:32.143003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x4/CwasEdUjJg9r1xNc72cBc/nf2AuiLZAHVVu9qX94ceSCmbkf6FJ8qUfYhlDQw+Uylp283Zo/3zfMcI64WAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:32.143598Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.00354","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:107de118107fa485f812565e834a863ef82f7ff3f076e43efd5fde1c1c16a7c3","sha256:e7b1285946947ccea0afc2dc4ac62c53d173c6a579da533002dca0924e2b4b2b"],"state_sha256":"b3646dc2db952d1996e962e39639e8d7486740f430e1e8d94fecfaf085feebf9"}