{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:BWIH3YHLKHMIZBSAESKP5AJPCF","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":"e0ce927fcd9e480200f7e347b4f2349d84284760d835d517e05fe9417dc45985","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2016-03-16T00:33:47Z","title_canon_sha256":"4362edeadc7192baef34a1770fca9fa1fc7156ec1d4cb6b92bcd7a2f5ed315c9"},"schema_version":"1.0","source":{"id":"1603.04926","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.04926","created_at":"2026-05-18T00:50:57Z"},{"alias_kind":"arxiv_version","alias_value":"1603.04926v2","created_at":"2026-05-18T00:50:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.04926","created_at":"2026-05-18T00:50:57Z"},{"alias_kind":"pith_short_12","alias_value":"BWIH3YHLKHMI","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"BWIH3YHLKHMIZBSA","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"BWIH3YHL","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:c87a786aa4d3f4c91be2079755090a2f216de880c7036bb35e610774dc3e2df5","target":"graph","created_at":"2026-05-18T00:50:57Z","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 present a description of the equivariant $K$-theory of a smooth projective spherical variety. This provides an integral $K$-theory version of Brion's calculation of equivariant Chow-cohomology of such varieties. We consider the equivariant $K$-theory of wonderful compactifications of minimal rank symmetric varieties. We obtain a formula for their structure constants in terms of certain lower dimensional Schubert classes. This generalizes results of Uma on equivariant compactifications of adjoint groups.","authors_text":"Mahir Bilen Can, S. Banerjee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2016-03-16T00:33:47Z","title":"Equivariant $K$-theory of smooth projective spherical varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.04926","kind":"arxiv","version":2},"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:a6019ca027a49d318fbf1a02c8df59e1c22986213d30ca8ac59139b8a7b756c4","target":"record","created_at":"2026-05-18T00:50:57Z","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":"e0ce927fcd9e480200f7e347b4f2349d84284760d835d517e05fe9417dc45985","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2016-03-16T00:33:47Z","title_canon_sha256":"4362edeadc7192baef34a1770fca9fa1fc7156ec1d4cb6b92bcd7a2f5ed315c9"},"schema_version":"1.0","source":{"id":"1603.04926","kind":"arxiv","version":2}},"canonical_sha256":"0d907de0eb51d88c86402494fe812f1162667eb45308314dba9cec910ba6d25b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d907de0eb51d88c86402494fe812f1162667eb45308314dba9cec910ba6d25b","first_computed_at":"2026-05-18T00:50:57.293769Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:57.293769Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gAE0RA0fVCbYWSCV1cu3cewPeuouRa+B4IVGvDWRaQzHt+FnhddWI6vcw4FXBxptD/rSgwZhqdmiWHkMP/BSAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:57.294469Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.04926","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a6019ca027a49d318fbf1a02c8df59e1c22986213d30ca8ac59139b8a7b756c4","sha256:c87a786aa4d3f4c91be2079755090a2f216de880c7036bb35e610774dc3e2df5"],"state_sha256":"7829ad0493c7a106420938a1107bec29194ee2a6f3afc1deff851de1ea74c1fd"}