{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GN4HLVAKNRRLA2VSPBVIZ5GM2Q","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":"80df647ff2e98bdc534343cc52fc9448252c0de5963ff01f0e3394066fb1edef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-06-27T05:51:32Z","title_canon_sha256":"b5655ca6a8a7f7c5d3d18a962120d93200c392f229ae8608ef5d6c5e38b0a49d"},"schema_version":"1.0","source":{"id":"1106.5300","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.5300","created_at":"2026-05-18T04:19:13Z"},{"alias_kind":"arxiv_version","alias_value":"1106.5300v1","created_at":"2026-05-18T04:19:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.5300","created_at":"2026-05-18T04:19:13Z"},{"alias_kind":"pith_short_12","alias_value":"GN4HLVAKNRRL","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GN4HLVAKNRRLA2VS","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GN4HLVAK","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:2495c842c4bbb2135a71bc8af8b4818f1340cd3e17a45641fa33d28b0ea5036e","target":"graph","created_at":"2026-05-18T04:19:13Z","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 investigate the behaviour of the Oka property with respect to deformations of compact complex manifolds. We show that in a family of compact complex manifolds, the set of Oka fibres corresponds to a G-delta subset of the base. We give a necessary and sufficient condition for the limit fibre of a sequence of Oka fibres to be Oka in terms of a new uniform Oka property. We show that if the fibres are tori, then the projection is an Oka map. Finally, we consider holomorphic submersions with noncompact fibres.","authors_text":"Finnur Larusson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-06-27T05:51:32Z","title":"Deformations of Oka manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.5300","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":"sha256:3e17a3fc6ba3ae08dd0b723a044f21fcdb658cb77cb66dc884484342bbb28775","target":"record","created_at":"2026-05-18T04:19:13Z","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":"80df647ff2e98bdc534343cc52fc9448252c0de5963ff01f0e3394066fb1edef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-06-27T05:51:32Z","title_canon_sha256":"b5655ca6a8a7f7c5d3d18a962120d93200c392f229ae8608ef5d6c5e38b0a49d"},"schema_version":"1.0","source":{"id":"1106.5300","kind":"arxiv","version":1}},"canonical_sha256":"337875d40a6c62b06ab2786a8cf4ccd412b0063d4aa47c1926a65620ef96e710","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"337875d40a6c62b06ab2786a8cf4ccd412b0063d4aa47c1926a65620ef96e710","first_computed_at":"2026-05-18T04:19:13.873458Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:13.873458Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oXC3Jvqm21vak28z+WQsne9l8GSlKDMmphQQU61T73wnQvq6bPmdy2+ON5MS0/T9gpYooU5in2owjKGmIHfkDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:13.873905Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.5300","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e17a3fc6ba3ae08dd0b723a044f21fcdb658cb77cb66dc884484342bbb28775","sha256:2495c842c4bbb2135a71bc8af8b4818f1340cd3e17a45641fa33d28b0ea5036e"],"state_sha256":"9c63c2a8f0196729a123bf6a9aa547ea6009af4b20412d3a7acce8011a40142f"}