{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3SUIRVTQNAWRUZPEGLRSSENBTY","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":"3d5166d2dda3b9e7c096bf9648b010cf9dd473854e3145ab4d23383b6db6980e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-08-07T01:30:45Z","title_canon_sha256":"46068bae46018f671cc9878c26efdf937d42a896ab0e69ab7e8f97c5a0d7265d"},"schema_version":"1.0","source":{"id":"1708.01958","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.01958","created_at":"2026-05-18T00:38:08Z"},{"alias_kind":"arxiv_version","alias_value":"1708.01958v3","created_at":"2026-05-18T00:38:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.01958","created_at":"2026-05-18T00:38:08Z"},{"alias_kind":"pith_short_12","alias_value":"3SUIRVTQNAWR","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3SUIRVTQNAWRUZPE","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3SUIRVTQ","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:4a592ff2ae5d13c0eb1446ee23c81f6b1c66e416110477881b00cd9246e65775","target":"graph","created_at":"2026-05-18T00:38:08Z","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 $(M,g)$ be a compact K\\\"ahler manifold and $f$ a positive smooth function such that its Hamiltonian vector field $K = J\\mathrm{grad}_g f$ for the K\\\"ahler form $\\omega_g$ is a holomorphic Killing vector field. We say that the pair $(g,f)$ is conformally Einstein-Maxwell K\\\"ahler metric if the conformal metric $\\tilde g = f^{-2}g$ has constant scalar curvature. In this paper we prove a reductiveness result of the reduced Lie algebra of holomorphic vector fields for conformally Einstein-Maxwell K\\\"ahler manifolds, extending the Lichnerowicz-Matsushima Theorem for constant scalar curvature K\\","authors_text":"Akito Futaki, Hajime Ono","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-08-07T01:30:45Z","title":"Conformally Einstein-Maxwell K\\\"ahler metrics and structure of the automorphism group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.01958","kind":"arxiv","version":3},"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":"sha256:51d3e075cce2b8022d059c1d6db8b27dabab7d2becd637b60a56d20970763ee1","target":"record","created_at":"2026-05-18T00:38:08Z","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":"3d5166d2dda3b9e7c096bf9648b010cf9dd473854e3145ab4d23383b6db6980e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-08-07T01:30:45Z","title_canon_sha256":"46068bae46018f671cc9878c26efdf937d42a896ab0e69ab7e8f97c5a0d7265d"},"schema_version":"1.0","source":{"id":"1708.01958","kind":"arxiv","version":3}},"canonical_sha256":"dca888d670682d1a65e432e32911a19e3b400f636986334338878fa569d81026","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dca888d670682d1a65e432e32911a19e3b400f636986334338878fa569d81026","first_computed_at":"2026-05-18T00:38:08.311455Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:08.311455Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ca45giHXmn4oILWablJZkUtRre/m+5SJp3fSESZPYyhNfrB3tXbrPSHlkuGJap3mjpt7hBBrPublgFqjThMgCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:08.311796Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.01958","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51d3e075cce2b8022d059c1d6db8b27dabab7d2becd637b60a56d20970763ee1","sha256:4a592ff2ae5d13c0eb1446ee23c81f6b1c66e416110477881b00cd9246e65775"],"state_sha256":"a145b9f6584e6940d77a408e9235df031bdb262ba4b582895c93fa38fc4190d6"}