{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:IA64UMLMRA4JRXQF5WZEASDK3Q","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":"8688c2a63637261e3edfada72a9ee61a1c39c2d2c68c6926b04a44ba79ab9502","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-12-24T11:22:31Z","title_canon_sha256":"ed2e3dc79122419f991c11ea79c8690327cc648fc86077068e7159925f305242"},"schema_version":"1.0","source":{"id":"1812.09892","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.09892","created_at":"2026-05-17T23:57:26Z"},{"alias_kind":"arxiv_version","alias_value":"1812.09892v1","created_at":"2026-05-17T23:57:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.09892","created_at":"2026-05-17T23:57:26Z"},{"alias_kind":"pith_short_12","alias_value":"IA64UMLMRA4J","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"IA64UMLMRA4JRXQF","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"IA64UMLM","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:1298e38748933d17c9222faade1f322b8ab708893ce3311a25114219aaa4b88d","target":"graph","created_at":"2026-05-17T23:57:26Z","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 $(M,\\omega_M)$ be a six dimensional closed monotone symplectic manifold admitting an effective semifree Hamiltonian $S^1$-action. We show that if the minimal (or maximal) fixed component of the action is an isolated point, then $(M,\\omega_M)$ is $S^1$-equivariant symplectomorphic to some K\\\"{a}hler Fano manifold $(X,\\omega_X, J)$ with a certain holomorphic $\\mathbb{C}^*$-action. We also give a complete list of all such Fano manifolds and describe all semifree $\\mathbb{C}^*$-actions on them specifically.","authors_text":"Yunhyung Cho","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-12-24T11:22:31Z","title":"Classification of six dimensional monotone symplectic manifolds admitting semifree circle actions I"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.09892","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":"sha256:29f2c4c6841cfcdf65a3db0ae5523a41e2ffda645f4ec346a746bd1174516aab","target":"record","created_at":"2026-05-17T23:57:26Z","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":"8688c2a63637261e3edfada72a9ee61a1c39c2d2c68c6926b04a44ba79ab9502","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-12-24T11:22:31Z","title_canon_sha256":"ed2e3dc79122419f991c11ea79c8690327cc648fc86077068e7159925f305242"},"schema_version":"1.0","source":{"id":"1812.09892","kind":"arxiv","version":1}},"canonical_sha256":"403dca316c883898de05edb240486adc0318675524568556b296236c3ce71a85","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"403dca316c883898de05edb240486adc0318675524568556b296236c3ce71a85","first_computed_at":"2026-05-17T23:57:26.484231Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:26.484231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JPj5GllNfuUfgvNvAuNkU7rM/BZuLtrfEJ1hk1vcrMMvSCRStfwmxSNKnSGII8bkltFyHNFXTHZYWkPwthq/BQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:26.484851Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.09892","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:29f2c4c6841cfcdf65a3db0ae5523a41e2ffda645f4ec346a746bd1174516aab","sha256:1298e38748933d17c9222faade1f322b8ab708893ce3311a25114219aaa4b88d"],"state_sha256":"2a8b2b49c05675a244ea3438db8d28dd6ed54c224972b97dd7393df8512f692a"}