{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DKEC2XNSLWEPCD6VH5UIN3CD47","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"db7ff6fe99c2294938134a0567fcd6969f8ce20dc2b355e6394753d3f003f7d6","cross_cats_sorted":["math.AT","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-02T13:13:20Z","title_canon_sha256":"4d1c5da7d2b75558782065891481e36ddfb74e1965fd31dbd532271bad860487"},"schema_version":"1.0","source":{"id":"1506.00872","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.00872","created_at":"2026-05-18T01:59:34Z"},{"alias_kind":"arxiv_version","alias_value":"1506.00872v1","created_at":"2026-05-18T01:59:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.00872","created_at":"2026-05-18T01:59:34Z"},{"alias_kind":"pith_short_12","alias_value":"DKEC2XNSLWEP","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DKEC2XNSLWEPCD6V","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DKEC2XNS","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:c0e9ea4b9ca9b14b30c4d30f3cdfcdb6c230425ec555ae62feb9c9ac75267b18","target":"graph","created_at":"2026-05-18T01:59:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We show a Z^2-filtered algebraic structure and a \"quantum to classical\" principle on the torus-equivariant quantum cohomology of a complete flag variety of general Lie type, generalizing earlier works of Leung and the second author. We also provide various applications on equivariant quantum Schubert calculus, including an equivariant quantum Pieri rule for any partial flag variety of Lie type A.","authors_text":"Changzheng Li, Yongdong Huang","cross_cats":["math.AT","math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-02T13:13:20Z","title":"On equivariant quantum Schubert calculus for G/P"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00872","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:0253e2da4e60308550783c916957bc457a523799dc588c82b4082abc3462820c","target":"record","created_at":"2026-05-18T01:59:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"db7ff6fe99c2294938134a0567fcd6969f8ce20dc2b355e6394753d3f003f7d6","cross_cats_sorted":["math.AT","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-02T13:13:20Z","title_canon_sha256":"4d1c5da7d2b75558782065891481e36ddfb74e1965fd31dbd532271bad860487"},"schema_version":"1.0","source":{"id":"1506.00872","kind":"arxiv","version":1}},"canonical_sha256":"1a882d5db25d88f10fd53f6886ec43e7dd46d9152fe61a616dcb608cdb8c862c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a882d5db25d88f10fd53f6886ec43e7dd46d9152fe61a616dcb608cdb8c862c","first_computed_at":"2026-05-18T01:59:34.235947Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:34.235947Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j7gEIcr7cpKd60LxtFfVlov0xLLi3dReb4nfcnrVT+UfZnsfDPCONkZ9P5zgpm2nOrxE4LnGgKYxSzQVidDaCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:34.236479Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.00872","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0253e2da4e60308550783c916957bc457a523799dc588c82b4082abc3462820c","sha256:c0e9ea4b9ca9b14b30c4d30f3cdfcdb6c230425ec555ae62feb9c9ac75267b18"],"state_sha256":"6c01c50dc1d80e028fd246e32c19a21d9afa13cbecc11a917cf5d7aa935fb30f"}