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We prove that for any 5-dimensional, uniformly 2-nondegenerate CR manifold M there exists a canonical Cartan connection, modelled on a suitable projective completion of the tube over the future light cone {z\\in C^3: (x^1)^2+(x^2)^2-(x^3)^2 = 0, x^3>0}. This determines a complete solution to the equivalence problem for this class of CR manifolds."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1210.5638","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-10-20T16:01:17Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"7d69bb2dc8fc6e819ff63447c44bc8ec92c10861dcf17c19516ca2cb3b4aa89c","abstract_canon_sha256":"b1217234d7872e6c17d6280a51d15a2b31c955c0fdb44bed2b787d86e03b34fb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:05.978497Z","signature_b64":"q4/Lq3uXo4xltviH/s4GtB4pt49c8IbWl9ETw7fFXow3s3R7rWxcM60YxewAfE6FZW0UsOHphet0SdkaUohFDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d6332b28bc03da71c058d4b0a38cfc5d22d0ddd4fca99340833d81ed19a45d1","last_reissued_at":"2026-05-18T03:22:05.977828Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:05.977828Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The equivalence problem for 5-dimensional Levi degenerate CR manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.DG","authors_text":"Andrea Spiro, Costantino Medori","submitted_at":"2012-10-20T16:01:17Z","abstract_excerpt":"Let M be a CR manifold of hypersurface type, which is Levi degenerate but also satisfying a k-nondegeneracy condition at all points. 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