{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:MO4UMSMJ7HEZLBVNHX7JQSMAZM","short_pith_number":"pith:MO4UMSMJ","schema_version":"1.0","canonical_sha256":"63b9464989f9c99586ad3dfe984980cb0cfb4603be808041a5867e06cb73e6e4","source":{"kind":"arxiv","id":"1402.5520","version":1},"attestation_state":"computed","paper":{"title":"Motivic decomposition of compactifications of certain group varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alexander S. Merkurjev, Nikita A. Karpenko","submitted_at":"2014-02-22T15:53:01Z","abstract_excerpt":"Let D be a central simple algebra of prime degree over a field and let E be an SL_1(D)-torsor. We determine the complete motivic decomposition of certain compactifications of E. We also compute the Chow ring of E."},"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":"1402.5520","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-02-22T15:53:01Z","cross_cats_sorted":[],"title_canon_sha256":"b17dca4d9f258e61758b075c1ad0ec6aed37c2612f56e29077e602910318a165","abstract_canon_sha256":"53223a74b7f6bf7a83f7bb3538f9e1d0f64445350b76f694bb9472f21fe5c0e7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:20.897380Z","signature_b64":"BnvgPjZmxrezjfzjnOReyPUaxZHwYFFF9VAdpnFtxLzpkNgx6HqU2LiuJQQDpI4omphydJxh4kuJSulXu3+/BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"63b9464989f9c99586ad3dfe984980cb0cfb4603be808041a5867e06cb73e6e4","last_reissued_at":"2026-05-18T02:58:20.896861Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:20.896861Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Motivic decomposition of compactifications of certain group varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alexander S. Merkurjev, Nikita A. Karpenko","submitted_at":"2014-02-22T15:53:01Z","abstract_excerpt":"Let D be a central simple algebra of prime degree over a field and let E be an SL_1(D)-torsor. We determine the complete motivic decomposition of certain compactifications of E. We also compute the Chow ring of E."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5520","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":"1402.5520","created_at":"2026-05-18T02:58:20.896936+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.5520v1","created_at":"2026-05-18T02:58:20.896936+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.5520","created_at":"2026-05-18T02:58:20.896936+00:00"},{"alias_kind":"pith_short_12","alias_value":"MO4UMSMJ7HEZ","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"MO4UMSMJ7HEZLBVN","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"MO4UMSMJ","created_at":"2026-05-18T12:28:38.356838+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/MO4UMSMJ7HEZLBVNHX7JQSMAZM","json":"https://pith.science/pith/MO4UMSMJ7HEZLBVNHX7JQSMAZM.json","graph_json":"https://pith.science/api/pith-number/MO4UMSMJ7HEZLBVNHX7JQSMAZM/graph.json","events_json":"https://pith.science/api/pith-number/MO4UMSMJ7HEZLBVNHX7JQSMAZM/events.json","paper":"https://pith.science/paper/MO4UMSMJ"},"agent_actions":{"view_html":"https://pith.science/pith/MO4UMSMJ7HEZLBVNHX7JQSMAZM","download_json":"https://pith.science/pith/MO4UMSMJ7HEZLBVNHX7JQSMAZM.json","view_paper":"https://pith.science/paper/MO4UMSMJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.5520&json=true","fetch_graph":"https://pith.science/api/pith-number/MO4UMSMJ7HEZLBVNHX7JQSMAZM/graph.json","fetch_events":"https://pith.science/api/pith-number/MO4UMSMJ7HEZLBVNHX7JQSMAZM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MO4UMSMJ7HEZLBVNHX7JQSMAZM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MO4UMSMJ7HEZLBVNHX7JQSMAZM/action/storage_attestation","attest_author":"https://pith.science/pith/MO4UMSMJ7HEZLBVNHX7JQSMAZM/action/author_attestation","sign_citation":"https://pith.science/pith/MO4UMSMJ7HEZLBVNHX7JQSMAZM/action/citation_signature","submit_replication":"https://pith.science/pith/MO4UMSMJ7HEZLBVNHX7JQSMAZM/action/replication_record"}},"created_at":"2026-05-18T02:58:20.896936+00:00","updated_at":"2026-05-18T02:58:20.896936+00:00"}