{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:EQPNO7XKH4EBUMCDO324P2LLTQ","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":"1a9843139ef36fd2f66805dd4c64a9aef8f9324c7f128b62c13d3724648ead83","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2019-05-17T14:34:33Z","title_canon_sha256":"bdff0a789f7e285535e067cfa26c4e36e876003a3a54be7e91bf33c1ca482cd6"},"schema_version":"1.0","source":{"id":"1905.07292","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.07292","created_at":"2026-05-17T23:45:55Z"},{"alias_kind":"arxiv_version","alias_value":"1905.07292v1","created_at":"2026-05-17T23:45:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.07292","created_at":"2026-05-17T23:45:55Z"},{"alias_kind":"pith_short_12","alias_value":"EQPNO7XKH4EB","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"EQPNO7XKH4EBUMCD","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"EQPNO7XK","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:d2bb377ab52e40ba19acfdd0b6acbf79d6594fb66c4802684a0e882dcb016878","target":"graph","created_at":"2026-05-17T23:45:55Z","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":"In this paper, we complete the classification of six-dimensional closed monotone symplectic manifolds admitting semifree Hamiltonian $S^1$-actions. We also show that every such manifold is $S^1$-equivariantly symplectomorphic to some K\\\"{a}ahler Fano manifold with a certain holomorphic Hamiltonian circle action.","authors_text":"Yunhyung Cho","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2019-05-17T14:34:33Z","title":"Classification of six dimensional monotone symplectic manifolds admitting semifree circle actions III"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.07292","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:ce2fe51dcf92dee2fe084941ae37ec5f1dde95b6fb70c6d6c5c6db8bfafd9f2a","target":"record","created_at":"2026-05-17T23:45:55Z","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":"1a9843139ef36fd2f66805dd4c64a9aef8f9324c7f128b62c13d3724648ead83","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2019-05-17T14:34:33Z","title_canon_sha256":"bdff0a789f7e285535e067cfa26c4e36e876003a3a54be7e91bf33c1ca482cd6"},"schema_version":"1.0","source":{"id":"1905.07292","kind":"arxiv","version":1}},"canonical_sha256":"241ed77eea3f081a304376f5c7e96b9c341d89a4ddacafcd3222d2cc94a58992","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"241ed77eea3f081a304376f5c7e96b9c341d89a4ddacafcd3222d2cc94a58992","first_computed_at":"2026-05-17T23:45:55.969515Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:55.969515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d5aieEb16JnkTt7xNNmwIOunlzmuBw/Iux9ZloZjXImAsTG1sxmFWdVxoUewSPqNkzcIWblTi0LBWQAkt+URAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:55.970678Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.07292","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce2fe51dcf92dee2fe084941ae37ec5f1dde95b6fb70c6d6c5c6db8bfafd9f2a","sha256:d2bb377ab52e40ba19acfdd0b6acbf79d6594fb66c4802684a0e882dcb016878"],"state_sha256":"d4ded77ffcb2cf7639f3d6db0ba210c89a03eea4f82daa5519d916f7752d7274"}