{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:QSCTCJA7DZFL6RWDNEAW3VCVTQ","short_pith_number":"pith:QSCTCJA7","schema_version":"1.0","canonical_sha256":"848531241f1e4abf46c369016dd4559c0a555fa9001e5abcc645082a44ab5dc7","source":{"kind":"arxiv","id":"1805.10613","version":1},"attestation_state":"computed","paper":{"title":"Kunneth formula for graded rings associated to K-theories of Rost motives","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.KT","authors_text":"Nobuaki Yagita","submitted_at":"2018-05-27T12:50:11Z","abstract_excerpt":"In this paper, we study the graded ring gr(X) defined by the K-theory of twisted flag variety X. In particular, Kunneth map from gr(R')(\\otimes)gr(R') to gr(R) is studed explicitly for an original Rost motive R' and a generalized Rost motive R. Using this, we give an example that T(X)^2 is nonzero for the torsion ideal T(X) in the Chow ring CH(X)."},"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":"1805.10613","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2018-05-27T12:50:11Z","cross_cats_sorted":[],"title_canon_sha256":"f96e2e721818f5276955ae096e96e5fd95477c77b4afb5b5664f8a94b7d37819","abstract_canon_sha256":"34380d51609b57ec1022df44b72874517df05278bdeaa963d5aace059590a8d0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:51.916418Z","signature_b64":"fUsneorIUYOnxpyNzZpQiN8jQ7TFAm22SUPERYmBTgCLVr9Sydd07JF9hZDieVyEjXkoqW8o2Wy5Of0pchuqBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"848531241f1e4abf46c369016dd4559c0a555fa9001e5abcc645082a44ab5dc7","last_reissued_at":"2026-05-18T00:14:51.915698Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:51.915698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Kunneth formula for graded rings associated to K-theories of Rost motives","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.KT","authors_text":"Nobuaki Yagita","submitted_at":"2018-05-27T12:50:11Z","abstract_excerpt":"In this paper, we study the graded ring gr(X) defined by the K-theory of twisted flag variety X. In particular, Kunneth map from gr(R')(\\otimes)gr(R') to gr(R) is studed explicitly for an original Rost motive R' and a generalized Rost motive R. Using this, we give an example that T(X)^2 is nonzero for the torsion ideal T(X) in the Chow ring CH(X)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.10613","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":"1805.10613","created_at":"2026-05-18T00:14:51.915804+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.10613v1","created_at":"2026-05-18T00:14:51.915804+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.10613","created_at":"2026-05-18T00:14:51.915804+00:00"},{"alias_kind":"pith_short_12","alias_value":"QSCTCJA7DZFL","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_16","alias_value":"QSCTCJA7DZFL6RWD","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_8","alias_value":"QSCTCJA7","created_at":"2026-05-18T12:32:46.962924+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/QSCTCJA7DZFL6RWDNEAW3VCVTQ","json":"https://pith.science/pith/QSCTCJA7DZFL6RWDNEAW3VCVTQ.json","graph_json":"https://pith.science/api/pith-number/QSCTCJA7DZFL6RWDNEAW3VCVTQ/graph.json","events_json":"https://pith.science/api/pith-number/QSCTCJA7DZFL6RWDNEAW3VCVTQ/events.json","paper":"https://pith.science/paper/QSCTCJA7"},"agent_actions":{"view_html":"https://pith.science/pith/QSCTCJA7DZFL6RWDNEAW3VCVTQ","download_json":"https://pith.science/pith/QSCTCJA7DZFL6RWDNEAW3VCVTQ.json","view_paper":"https://pith.science/paper/QSCTCJA7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.10613&json=true","fetch_graph":"https://pith.science/api/pith-number/QSCTCJA7DZFL6RWDNEAW3VCVTQ/graph.json","fetch_events":"https://pith.science/api/pith-number/QSCTCJA7DZFL6RWDNEAW3VCVTQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QSCTCJA7DZFL6RWDNEAW3VCVTQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QSCTCJA7DZFL6RWDNEAW3VCVTQ/action/storage_attestation","attest_author":"https://pith.science/pith/QSCTCJA7DZFL6RWDNEAW3VCVTQ/action/author_attestation","sign_citation":"https://pith.science/pith/QSCTCJA7DZFL6RWDNEAW3VCVTQ/action/citation_signature","submit_replication":"https://pith.science/pith/QSCTCJA7DZFL6RWDNEAW3VCVTQ/action/replication_record"}},"created_at":"2026-05-18T00:14:51.915804+00:00","updated_at":"2026-05-18T00:14:51.915804+00:00"}