{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:UMSCGAGG3OQYKNDVBWGX4SSDXJ","short_pith_number":"pith:UMSCGAGG","schema_version":"1.0","canonical_sha256":"a3242300c6dba18534750d8d7e4a43ba6cd5f583863ba6fbe0c4180b4b9c14c6","source":{"kind":"arxiv","id":"1604.07500","version":2},"attestation_state":"computed","paper":{"title":"A Chevalley formula for the equivariant quantum K-theory of cominuscule varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"Anders S. Buch, Leonardo C. Mihalcea, Nicolas Perrin, Pierre-Emmanuel Chaput","submitted_at":"2016-04-26T03:01:57Z","abstract_excerpt":"We prove a type-uniform Chevalley formula for multiplication with divisor classes in the equivariant quantum $K$-theory ring of any cominuscule flag variety $G/P$. We also prove that multiplication with divisor classes determines the equivariant quantum $K$-theory of arbitrary flag varieties. These results prove a conjecture of Gorbounov and Korff concerning the equivariant quantum $K$-theory of Grassmannians of Lie type A."},"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":"1604.07500","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-04-26T03:01:57Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"cc9a0724e20b266a6b31c515a965f2fd4292d15e8543b1417091b87bad9cfb4c","abstract_canon_sha256":"7cdd5d51a8857947594648eeb735bd8ad5c71a48682b26c7ef337bde275b171a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:44.449849Z","signature_b64":"cHeIR/E9LYBghCWd9mt4sl+Pmcewyv9KbJW6Mg2yS5+z4K16vYLRzIMm/c9Vl4LitNJ3ZiQ3TvyCM7L9ho1SAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3242300c6dba18534750d8d7e4a43ba6cd5f583863ba6fbe0c4180b4b9c14c6","last_reissued_at":"2026-05-18T00:42:44.449189Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:44.449189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Chevalley formula for the equivariant quantum K-theory of cominuscule varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"Anders S. Buch, Leonardo C. Mihalcea, Nicolas Perrin, Pierre-Emmanuel Chaput","submitted_at":"2016-04-26T03:01:57Z","abstract_excerpt":"We prove a type-uniform Chevalley formula for multiplication with divisor classes in the equivariant quantum $K$-theory ring of any cominuscule flag variety $G/P$. We also prove that multiplication with divisor classes determines the equivariant quantum $K$-theory of arbitrary flag varieties. These results prove a conjecture of Gorbounov and Korff concerning the equivariant quantum $K$-theory of Grassmannians of Lie type A."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07500","kind":"arxiv","version":2},"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":"1604.07500","created_at":"2026-05-18T00:42:44.449283+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.07500v2","created_at":"2026-05-18T00:42:44.449283+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07500","created_at":"2026-05-18T00:42:44.449283+00:00"},{"alias_kind":"pith_short_12","alias_value":"UMSCGAGG3OQY","created_at":"2026-05-18T12:30:46.583412+00:00"},{"alias_kind":"pith_short_16","alias_value":"UMSCGAGG3OQYKNDV","created_at":"2026-05-18T12:30:46.583412+00:00"},{"alias_kind":"pith_short_8","alias_value":"UMSCGAGG","created_at":"2026-05-18T12:30:46.583412+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/UMSCGAGG3OQYKNDVBWGX4SSDXJ","json":"https://pith.science/pith/UMSCGAGG3OQYKNDVBWGX4SSDXJ.json","graph_json":"https://pith.science/api/pith-number/UMSCGAGG3OQYKNDVBWGX4SSDXJ/graph.json","events_json":"https://pith.science/api/pith-number/UMSCGAGG3OQYKNDVBWGX4SSDXJ/events.json","paper":"https://pith.science/paper/UMSCGAGG"},"agent_actions":{"view_html":"https://pith.science/pith/UMSCGAGG3OQYKNDVBWGX4SSDXJ","download_json":"https://pith.science/pith/UMSCGAGG3OQYKNDVBWGX4SSDXJ.json","view_paper":"https://pith.science/paper/UMSCGAGG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.07500&json=true","fetch_graph":"https://pith.science/api/pith-number/UMSCGAGG3OQYKNDVBWGX4SSDXJ/graph.json","fetch_events":"https://pith.science/api/pith-number/UMSCGAGG3OQYKNDVBWGX4SSDXJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UMSCGAGG3OQYKNDVBWGX4SSDXJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UMSCGAGG3OQYKNDVBWGX4SSDXJ/action/storage_attestation","attest_author":"https://pith.science/pith/UMSCGAGG3OQYKNDVBWGX4SSDXJ/action/author_attestation","sign_citation":"https://pith.science/pith/UMSCGAGG3OQYKNDVBWGX4SSDXJ/action/citation_signature","submit_replication":"https://pith.science/pith/UMSCGAGG3OQYKNDVBWGX4SSDXJ/action/replication_record"}},"created_at":"2026-05-18T00:42:44.449283+00:00","updated_at":"2026-05-18T00:42:44.449283+00:00"}