{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:V542HYV24ZZGDV2E57XXTLGOBM","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":"062dad6fb53ac1da73c3078bfad7c5798ae049906fad6a3eced8844c98f6cd23","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-04-11T07:28:09Z","title_canon_sha256":"cfd6c3e7d3e4c013909259f30bf14b17e3e1d8a9c8c49ce45abce49679a2b733"},"schema_version":"1.0","source":{"id":"1904.05566","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.05566","created_at":"2026-05-17T23:48:14Z"},{"alias_kind":"arxiv_version","alias_value":"1904.05566v2","created_at":"2026-05-17T23:48:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.05566","created_at":"2026-05-17T23:48:14Z"},{"alias_kind":"pith_short_12","alias_value":"V542HYV24ZZG","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"V542HYV24ZZGDV2E","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"V542HYV2","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:a3b9c188b1edb0948dd8ee559663307a5dd09d69ca8d6cf5157dc3cf80b094fe","target":"graph","created_at":"2026-05-17T23:48:14Z","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 consider a family $M_t^3$, with $t>1$, of real hypersurfaces in a complex affine $3$-dimensional quadric arising in connection with the classification of homogeneous compact simply-connected real-analytic hypersurfaces in ${\\mathbb C}^n$ due to Morimoto and Nagano. To finalize their classification, one needs to resolve the problem of the CR-embeddability of $M_t^3$ in ${\\mathbb C}^3$. In our earlier article we showed that $M_t^3$ is CR-embeddable in ${\\mathbb C}^3$ for all $1<t<\\sqrt{(2+\\sqrt{2})/3}$. In the present paper we prove that $M_t^3$ can be immersed in ${\\mathbf C}^3$ for every $t","authors_text":"Alexander Isaev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-04-11T07:28:09Z","title":"On the classification by Morimoto and Nagano"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.05566","kind":"arxiv","version":2},"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":"sha256:66e63b010652a862e9243283e6156b4e079c4e7a4394ff1149917c2f88571b16","target":"record","created_at":"2026-05-17T23:48:14Z","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":"062dad6fb53ac1da73c3078bfad7c5798ae049906fad6a3eced8844c98f6cd23","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-04-11T07:28:09Z","title_canon_sha256":"cfd6c3e7d3e4c013909259f30bf14b17e3e1d8a9c8c49ce45abce49679a2b733"},"schema_version":"1.0","source":{"id":"1904.05566","kind":"arxiv","version":2}},"canonical_sha256":"af79a3e2bae67261d744efef79acce0b3d8e12b216c9d889a9c131836c80a482","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af79a3e2bae67261d744efef79acce0b3d8e12b216c9d889a9c131836c80a482","first_computed_at":"2026-05-17T23:48:14.429819Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:14.429819Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QjBHkpe/rcQCICBh103zqnNocuVfi3p8kMCESEGDm2jhdfYJokiCVbFn4CsFW7VHNa8uPHL/JPXsoTUr/ogqDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:14.430477Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.05566","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:66e63b010652a862e9243283e6156b4e079c4e7a4394ff1149917c2f88571b16","sha256:a3b9c188b1edb0948dd8ee559663307a5dd09d69ca8d6cf5157dc3cf80b094fe"],"state_sha256":"5920d526bfca3f3bc1aa6c54eee6641dba62bb8d1d02c81770c60c4379960712"}