{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:M52SBAPXX7TENCI5XH6PTVE3CP","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":"4112b0d099d9c1b9e42b98d1132422224fb597b558474e87611be310c0ac4b5e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-09-07T09:38:46Z","title_canon_sha256":"18404f57d33bc63c3babbbaf6bb3b6825a248e51a4bcf82b45f3497bbcb0666a"},"schema_version":"1.0","source":{"id":"1509.01962","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.01962","created_at":"2026-05-18T00:54:03Z"},{"alias_kind":"arxiv_version","alias_value":"1509.01962v2","created_at":"2026-05-18T00:54:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.01962","created_at":"2026-05-18T00:54:03Z"},{"alias_kind":"pith_short_12","alias_value":"M52SBAPXX7TE","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"M52SBAPXX7TENCI5","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"M52SBAPX","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:71a25598239514a5762611aa06cc8bcff5327773e5239f87aebe7f79687e5735","target":"graph","created_at":"2026-05-18T00:54:03Z","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":"In this paper, we provide {\\em effective} results on the non-embeddability of real-analytic hypersurfaces into a hyperquadric. We show that, for any $N >n \\geq 1$, the defining functions $\\varphi(z,\\bar z,u)$ of all real-analytic hypersurfaces $M=\\{v=\\varphi(z,\\bar z,u)\\}\\subset\\mathbb C^{n+1}$ containing Levi-nondegenerate points and locally transversally holomorphically embeddable into some hyperquadric $\\mathcal Q\\subset\\mathbb C^{N+1}$ satisfy an {\\em universal} algebraic partial differential equation $D(\\varphi)=0$, where the algebraic-differential operator $D=D(n,N)$ depends on $n, N$ on","authors_text":"Ilya Kossovskiy, Ming Xiao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-09-07T09:38:46Z","title":"On the embeddability of real hypersurfaces into hyperquadrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.01962","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":"sha256:969c7aa80b34d8672712377b134d0592586eb2a80bdb261c5ae072ac894c5ebe","target":"record","created_at":"2026-05-18T00:54:03Z","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":"4112b0d099d9c1b9e42b98d1132422224fb597b558474e87611be310c0ac4b5e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-09-07T09:38:46Z","title_canon_sha256":"18404f57d33bc63c3babbbaf6bb3b6825a248e51a4bcf82b45f3497bbcb0666a"},"schema_version":"1.0","source":{"id":"1509.01962","kind":"arxiv","version":2}},"canonical_sha256":"67752081f7bfe646891db9fcf9d49b13f52b7ac77a0a261d1b8a4f20c91458c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67752081f7bfe646891db9fcf9d49b13f52b7ac77a0a261d1b8a4f20c91458c7","first_computed_at":"2026-05-18T00:54:03.795665Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:03.795665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WzUWknAXKF8nqeLkmkSqU0YSchr4IdWwlRsw4Z86n2d/5zvrhim7z39hr1kP89ikCW1w4gfC0/Qt5PTQFPaWAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:03.796224Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.01962","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:969c7aa80b34d8672712377b134d0592586eb2a80bdb261c5ae072ac894c5ebe","sha256:71a25598239514a5762611aa06cc8bcff5327773e5239f87aebe7f79687e5735"],"state_sha256":"de1e6b6fbeb7f07672453bab2b24e8d9e3477065af4aaa64d9a94526bd198590"}