{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:H7NRY3DVPI73TMON25BM5KLWNC","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":"61bc4341e2b0a74f3dcb3d5a76e7be9f81fb4fa14de5cacac199a0d6fbcf3cc3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-01-18T18:21:46Z","title_canon_sha256":"0083dacbe723e262ca380aad38d299e5f452c685a7c694804849784e17097329"},"schema_version":"1.0","source":{"id":"1201.3870","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.3870","created_at":"2026-05-18T03:05:01Z"},{"alias_kind":"arxiv_version","alias_value":"1201.3870v6","created_at":"2026-05-18T03:05:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.3870","created_at":"2026-05-18T03:05:01Z"},{"alias_kind":"pith_short_12","alias_value":"H7NRY3DVPI73","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"H7NRY3DVPI73TMON","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"H7NRY3DV","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:11e584caa19a14607537254763ddb53d62ca03c5326851225f930b559a2723a8","target":"graph","created_at":"2026-05-18T03:05:01Z","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 characterise, in the setting of the Kodaira-Spencer deformation theory, the twistor spaces of (co-)CR quaternionic manifolds. As an application, we prove that, locally, the leaf space of any nowhere zero quaternionic vector field on a quaternionic manifold is endowed with a natural co-CR quaternionic structure. Also, for any positive integers $k$ and $l$, with $kl$ even, we obtain the geometric objects whose twistorial counterparts are complex manifolds endowed with a conjugation without fixed points and which preserves an embedded Riemann sphere whose normal bundle is $l$ times the line bu","authors_text":"Radu Pantilie","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-01-18T18:21:46Z","title":"On the twistor space of a (co-)CR quaternionic manifold"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.3870","kind":"arxiv","version":6},"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:b7d9b60a90a4c9e4d3ec533e1c4b4b62cc79fe44565f1d86ea2e8922e2829f9e","target":"record","created_at":"2026-05-18T03:05:01Z","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":"61bc4341e2b0a74f3dcb3d5a76e7be9f81fb4fa14de5cacac199a0d6fbcf3cc3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-01-18T18:21:46Z","title_canon_sha256":"0083dacbe723e262ca380aad38d299e5f452c685a7c694804849784e17097329"},"schema_version":"1.0","source":{"id":"1201.3870","kind":"arxiv","version":6}},"canonical_sha256":"3fdb1c6c757a3fb9b1cdd742cea97668afa30e02a0a94af8d3babd7db7dc5b23","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3fdb1c6c757a3fb9b1cdd742cea97668afa30e02a0a94af8d3babd7db7dc5b23","first_computed_at":"2026-05-18T03:05:01.742229Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:01.742229Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QDF10NcL7NS6zlTSiFQGDX2vuwKiC7oxsFapfWDSyiOUHy6nTFuuUg75VkIRL50me40hYbx7PNsKZBk/Q1X4Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:01.743097Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.3870","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b7d9b60a90a4c9e4d3ec533e1c4b4b62cc79fe44565f1d86ea2e8922e2829f9e","sha256:11e584caa19a14607537254763ddb53d62ca03c5326851225f930b559a2723a8"],"state_sha256":"6bb63424d3a530601caf925502f331103dbb5d0bbeba64922b97b233f8c5f889"}