{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:HOZCTHMI576P36ED6PSV2VISEN","short_pith_number":"pith:HOZCTHMI","schema_version":"1.0","canonical_sha256":"3bb2299d88effcfdf883f3e55d5512234689798ade2dbb7c8d830175a89d4813","source":{"kind":"arxiv","id":"1406.1129","version":1},"attestation_state":"computed","paper":{"title":"On Grothendieck-Serre conjecture concerning principal G-bundles over regular semi-local domains containing a finite field: II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ivan Panin","submitted_at":"2014-06-02T04:54:42Z","abstract_excerpt":"In three preprints [Pan1], [Pan3] and the present one we prove Grothendieck-Serre's conjecture concerning principal G-bundles over regular semi-local domains R containing a finite field (here $G$ is a reductive group scheme). The preprint [Pan1] contains main geometric presentation theorems which are necessary for that. The present preprint contains reduction of the Grothendieck--Serre's conjecture to the case of semi-simple simply-connected group schemes (see Theorem 1.0.1). The preprint [Pan3] contains a proof of that conjecture for regular semi-local domains R containing a finite field. The"},"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":"1406.1129","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-06-02T04:54:42Z","cross_cats_sorted":[],"title_canon_sha256":"abcf2e2f83248beba7cad3b8837dcfbd6f9aa760d2ace30963acb8d3143fcded","abstract_canon_sha256":"3cf944ad7165326061036dfa7a348dd94aff1a396d866b38e775104e00b17f84"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:24.824900Z","signature_b64":"bFMTnFs7Vx2TZohfS3p5wXu/mjSdhTQhY52BjqmHYkDF0NbWILGKeHX9ogQ9DKXEdnl/23k7huDA1fXuurCYAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3bb2299d88effcfdf883f3e55d5512234689798ade2dbb7c8d830175a89d4813","last_reissued_at":"2026-05-18T02:50:24.824449Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:24.824449Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Grothendieck-Serre conjecture concerning principal G-bundles over regular semi-local domains containing a finite field: II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ivan Panin","submitted_at":"2014-06-02T04:54:42Z","abstract_excerpt":"In three preprints [Pan1], [Pan3] and the present one we prove Grothendieck-Serre's conjecture concerning principal G-bundles over regular semi-local domains R containing a finite field (here $G$ is a reductive group scheme). The preprint [Pan1] contains main geometric presentation theorems which are necessary for that. The present preprint contains reduction of the Grothendieck--Serre's conjecture to the case of semi-simple simply-connected group schemes (see Theorem 1.0.1). The preprint [Pan3] contains a proof of that conjecture for regular semi-local domains R containing a finite field. The"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1129","kind":"arxiv","version":1},"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":"1406.1129","created_at":"2026-05-18T02:50:24.824518+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.1129v1","created_at":"2026-05-18T02:50:24.824518+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.1129","created_at":"2026-05-18T02:50:24.824518+00:00"},{"alias_kind":"pith_short_12","alias_value":"HOZCTHMI576P","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_16","alias_value":"HOZCTHMI576P36ED","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_8","alias_value":"HOZCTHMI","created_at":"2026-05-18T12:28:30.664211+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/HOZCTHMI576P36ED6PSV2VISEN","json":"https://pith.science/pith/HOZCTHMI576P36ED6PSV2VISEN.json","graph_json":"https://pith.science/api/pith-number/HOZCTHMI576P36ED6PSV2VISEN/graph.json","events_json":"https://pith.science/api/pith-number/HOZCTHMI576P36ED6PSV2VISEN/events.json","paper":"https://pith.science/paper/HOZCTHMI"},"agent_actions":{"view_html":"https://pith.science/pith/HOZCTHMI576P36ED6PSV2VISEN","download_json":"https://pith.science/pith/HOZCTHMI576P36ED6PSV2VISEN.json","view_paper":"https://pith.science/paper/HOZCTHMI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.1129&json=true","fetch_graph":"https://pith.science/api/pith-number/HOZCTHMI576P36ED6PSV2VISEN/graph.json","fetch_events":"https://pith.science/api/pith-number/HOZCTHMI576P36ED6PSV2VISEN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HOZCTHMI576P36ED6PSV2VISEN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HOZCTHMI576P36ED6PSV2VISEN/action/storage_attestation","attest_author":"https://pith.science/pith/HOZCTHMI576P36ED6PSV2VISEN/action/author_attestation","sign_citation":"https://pith.science/pith/HOZCTHMI576P36ED6PSV2VISEN/action/citation_signature","submit_replication":"https://pith.science/pith/HOZCTHMI576P36ED6PSV2VISEN/action/replication_record"}},"created_at":"2026-05-18T02:50:24.824518+00:00","updated_at":"2026-05-18T02:50:24.824518+00:00"}