{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:ILMLRJSIBKICTFIJTZHVP5TSSI","short_pith_number":"pith:ILMLRJSI","schema_version":"1.0","canonical_sha256":"42d8b8a6480a902995099e4f57f672920ccbd9f5873f61cfee88ab1d856b210c","source":{"kind":"arxiv","id":"1406.0241","version":1},"attestation_state":"computed","paper":{"title":"On Grothendieck-Serre conjecture concerning principal G-bundles over regular semi-local domains containing a finite field: I","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ivan Panin","submitted_at":"2014-06-02T04:34:42Z","abstract_excerpt":"In three preprints [Pan2],[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 present preprint contains main geometric presentation theorems which are necessary for that. The preprint [Pan2] contains reduction of the Grothendieck-Serre's conjecture to the case of a simple simply-connected group scheme. The preprint [Pan3] contains a proof of Grothendieck-Serre's conjecture for regular semi-local domains R containing a finite field. One of the main"},"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":"1406.0241","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-06-02T04:34:42Z","cross_cats_sorted":[],"title_canon_sha256":"72837409983eaf721e0e7b14f276204fda04d096b98aba2836c94eb0da0c60b6","abstract_canon_sha256":"76ac98c6541d118bafe0249ecf167c97c36844c158349cde06764f7b3c39d0f8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:41.385285Z","signature_b64":"Btf+1+QVWN1iIE++bgVoYb/DNaF9VsiB0hjzW9PBFcbSfe5OzhX/UhBuBOvD1gNzW7s4hHBOY3Jvww4TUItmAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42d8b8a6480a902995099e4f57f672920ccbd9f5873f61cfee88ab1d856b210c","last_reissued_at":"2026-05-18T02:50:41.384638Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:41.384638Z","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: I","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ivan Panin","submitted_at":"2014-06-02T04:34:42Z","abstract_excerpt":"In three preprints [Pan2],[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 present preprint contains main geometric presentation theorems which are necessary for that. The preprint [Pan2] contains reduction of the Grothendieck-Serre's conjecture to the case of a simple simply-connected group scheme. The preprint [Pan3] contains a proof of Grothendieck-Serre's conjecture for regular semi-local domains R containing a finite field. One of the main"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.0241","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":"1406.0241","created_at":"2026-05-18T02:50:41.384746+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.0241v1","created_at":"2026-05-18T02:50:41.384746+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.0241","created_at":"2026-05-18T02:50:41.384746+00:00"},{"alias_kind":"pith_short_12","alias_value":"ILMLRJSIBKIC","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_16","alias_value":"ILMLRJSIBKICTFIJ","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_8","alias_value":"ILMLRJSI","created_at":"2026-05-18T12:28:33.132498+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/ILMLRJSIBKICTFIJTZHVP5TSSI","json":"https://pith.science/pith/ILMLRJSIBKICTFIJTZHVP5TSSI.json","graph_json":"https://pith.science/api/pith-number/ILMLRJSIBKICTFIJTZHVP5TSSI/graph.json","events_json":"https://pith.science/api/pith-number/ILMLRJSIBKICTFIJTZHVP5TSSI/events.json","paper":"https://pith.science/paper/ILMLRJSI"},"agent_actions":{"view_html":"https://pith.science/pith/ILMLRJSIBKICTFIJTZHVP5TSSI","download_json":"https://pith.science/pith/ILMLRJSIBKICTFIJTZHVP5TSSI.json","view_paper":"https://pith.science/paper/ILMLRJSI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.0241&json=true","fetch_graph":"https://pith.science/api/pith-number/ILMLRJSIBKICTFIJTZHVP5TSSI/graph.json","fetch_events":"https://pith.science/api/pith-number/ILMLRJSIBKICTFIJTZHVP5TSSI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ILMLRJSIBKICTFIJTZHVP5TSSI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ILMLRJSIBKICTFIJTZHVP5TSSI/action/storage_attestation","attest_author":"https://pith.science/pith/ILMLRJSIBKICTFIJTZHVP5TSSI/action/author_attestation","sign_citation":"https://pith.science/pith/ILMLRJSIBKICTFIJTZHVP5TSSI/action/citation_signature","submit_replication":"https://pith.science/pith/ILMLRJSIBKICTFIJTZHVP5TSSI/action/replication_record"}},"created_at":"2026-05-18T02:50:41.384746+00:00","updated_at":"2026-05-18T02:50:41.384746+00:00"}