{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DWGEM3ZYFHOOGC5CJVQYEIGPEV","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":"0f740bc2a3fb3dd00a83db006f4e5e2d18293fed24a5f78d79ed0631026c3b64","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2018-05-29T12:03:10Z","title_canon_sha256":"01e5dd8653d3154c63fb1cac4f2455b5eee74210dd632cf37a43f1d2433fccf6"},"schema_version":"1.0","source":{"id":"1805.11373","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.11373","created_at":"2026-05-18T00:14:42Z"},{"alias_kind":"arxiv_version","alias_value":"1805.11373v1","created_at":"2026-05-18T00:14:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.11373","created_at":"2026-05-18T00:14:42Z"},{"alias_kind":"pith_short_12","alias_value":"DWGEM3ZYFHOO","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DWGEM3ZYFHOOGC5C","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DWGEM3ZY","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:86b391eb4b7c109dae379657df7228511a1b80affb27a8dd0201af7473bbdfa4","target":"graph","created_at":"2026-05-18T00:14:42Z","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":"Let $X(Q,\\Lambda)$ be a quasitoric manifold associated to a simple convex polytope $Q$ and characteristic function $\\Lambda$. Let $T\\cong (\\mathbb{S}^1)^n$ denote the compact $n$-torus acting on $X=X(Q,\\Lambda)$. The main aim of this article is to give a presentation of the $T$-equivariant $K$-ring of $X$, as a Stanley-Reisner ring over $K^*(pt)$. We also derive the presentation for the ordinary $K$-ring of $X$.","authors_text":"Bivas Khan, Jyoti Dasgupta, V.Uma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2018-05-29T12:03:10Z","title":"Equivariant $K$-theory of quasitoric manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.11373","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:fafe0dd4d3101fa2230bceb9730084f49896675fa98a48fea80012bac0e2569a","target":"record","created_at":"2026-05-18T00:14:42Z","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":"0f740bc2a3fb3dd00a83db006f4e5e2d18293fed24a5f78d79ed0631026c3b64","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2018-05-29T12:03:10Z","title_canon_sha256":"01e5dd8653d3154c63fb1cac4f2455b5eee74210dd632cf37a43f1d2433fccf6"},"schema_version":"1.0","source":{"id":"1805.11373","kind":"arxiv","version":1}},"canonical_sha256":"1d8c466f3829dce30ba24d618220cf255cdbd63fe4c2c691e559d5105f60bf99","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d8c466f3829dce30ba24d618220cf255cdbd63fe4c2c691e559d5105f60bf99","first_computed_at":"2026-05-18T00:14:42.815064Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:42.815064Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PH5kxUVMdPBgkpiWacpKZF/p0Z9VZ6voaCFr355JTCWtkqvNZUqOQT1fMbbdgm4CSI26cpCkte3iq3incIg1AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:42.815543Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.11373","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fafe0dd4d3101fa2230bceb9730084f49896675fa98a48fea80012bac0e2569a","sha256:86b391eb4b7c109dae379657df7228511a1b80affb27a8dd0201af7473bbdfa4"],"state_sha256":"45ee2b75123118920e5c37a3e804a10879a16b1b1730ac8315d9bc40a6e04704"}