{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:674L5SDBLIP2TNVUOBXND6C342","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":"6f17dca12a0ddadad9174b3b18ac776b399a344635f9104503d3387bdec1e053","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-07-20T19:39:48Z","title_canon_sha256":"9db5343d516b6635669a60a8dd44e45f6291818d2a5e21a6951861ba86eb6c39"},"schema_version":"1.0","source":{"id":"1607.06072","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.06072","created_at":"2026-05-18T00:32:55Z"},{"alias_kind":"arxiv_version","alias_value":"1607.06072v2","created_at":"2026-05-18T00:32:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.06072","created_at":"2026-05-18T00:32:55Z"},{"alias_kind":"pith_short_12","alias_value":"674L5SDBLIP2","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"674L5SDBLIP2TNVU","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"674L5SDB","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:8a5a298226283162bf5d52c49d52748b30fd271bd6fe30dc77e9097b7282ab88","target":"graph","created_at":"2026-05-18T00:32:55Z","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":"We show that for a real-analytic connected holomorphically nondegenerate 5-dimensional CR-hypersurface $M$ and its symmetry algebra $\\mathfrak{s}$ one has either: (i) $\\dim\\mathfrak{s}=15$ and $M$ is spherical (with Levi form of signature either $(2,0)$ or $(1,1)$ everywhere), or (ii) $\\dim\\mathfrak{s}\\le11$ where $\\dim\\mathfrak{s}=11$ can only occur if on a dense open subset $M$ is spherical with Levi form of signature $(1,1)$. Furthermore, we construct a series of examples of pairwise nonequivalent CR-hypersurfaces with $\\dim\\mathfrak{s}=11$.","authors_text":"Alexander Isaev, Boris Kruglikov","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-07-20T19:39:48Z","title":"On the symmetry algebras of 5-dimensional CR-manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.06072","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:a23c0a374e60b1c3b658902da18a358be8a986fafd07b3b5f7e078e0de99e6ea","target":"record","created_at":"2026-05-18T00:32:55Z","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":"6f17dca12a0ddadad9174b3b18ac776b399a344635f9104503d3387bdec1e053","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-07-20T19:39:48Z","title_canon_sha256":"9db5343d516b6635669a60a8dd44e45f6291818d2a5e21a6951861ba86eb6c39"},"schema_version":"1.0","source":{"id":"1607.06072","kind":"arxiv","version":2}},"canonical_sha256":"f7f8bec8615a1fa9b6b4706ed1f85be6a1e5948a6c77a0cadbbfc20248b70eb3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f7f8bec8615a1fa9b6b4706ed1f85be6a1e5948a6c77a0cadbbfc20248b70eb3","first_computed_at":"2026-05-18T00:32:55.601352Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:55.601352Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0azFgLEcUlK0QgNXzE5kWL/Tp5Y2RCPDf2J95cH813hPvKTdZTshStxKfIhVNeItBlf6bqBWPqrtxI2XDLr3DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:55.601922Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.06072","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a23c0a374e60b1c3b658902da18a358be8a986fafd07b3b5f7e078e0de99e6ea","sha256:8a5a298226283162bf5d52c49d52748b30fd271bd6fe30dc77e9097b7282ab88"],"state_sha256":"3c8e6149e0b8f9b6a96e6291d2f65a117e739d62799bc34bc82e77c60208075f"}