{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7LE7IWXW65AKOFBTCNQAEURBXW","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":"5e30b55d4438d66092226dd1ba414abd6b47d26849fc1ec81837500933082e66","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-11-27T17:37:15Z","title_canon_sha256":"64de343c92dca18a70914e19f129ebaa60b4a73e725cdd1a598e64f19d545fc7"},"schema_version":"1.0","source":{"id":"1211.6368","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.6368","created_at":"2026-05-18T03:39:51Z"},{"alias_kind":"arxiv_version","alias_value":"1211.6368v1","created_at":"2026-05-18T03:39:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6368","created_at":"2026-05-18T03:39:51Z"},{"alias_kind":"pith_short_12","alias_value":"7LE7IWXW65AK","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7LE7IWXW65AKOFBT","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7LE7IWXW","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:155b4c844d24ca66b682267fa7c5d45496d580f1d3bd0916b63070a02cbb5db1","target":"graph","created_at":"2026-05-18T03:39:51Z","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 smooth boundary b\\Omega which is q-convex in the sense that its Levi-form has positive trace on every complex q-plane. We prove that b\\Omega is tangent of infinite order to the complexification of each of its submanifolds which is complex tangential and of finite bracket type. This generalizes Diederich-Fornaess [Annals 1978] from pseudoconvex to q-convex domains. We also readily prove that the rows of the Levi-form are (1/2)-subelliptic multipliers for the di-bar-Neumann problem on q-forms (cf. Ho [Math. Ann. 1991]). This allows to run the Kohn algorithm of [Acta Math. 1979] in ","authors_text":"Giuseppe Zampieri, Stefano Pinton","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-11-27T17:37:15Z","title":"Complex Manifolds In $Q$-Convex Boundaries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6368","kind":"arxiv","version":1},"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:a86b62977bb168d6aee7c8d33eb44f4f09b312a1d62d7b05bda8436f9898a43b","target":"record","created_at":"2026-05-18T03:39:51Z","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":"5e30b55d4438d66092226dd1ba414abd6b47d26849fc1ec81837500933082e66","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-11-27T17:37:15Z","title_canon_sha256":"64de343c92dca18a70914e19f129ebaa60b4a73e725cdd1a598e64f19d545fc7"},"schema_version":"1.0","source":{"id":"1211.6368","kind":"arxiv","version":1}},"canonical_sha256":"fac9f45af6f740a714331360025221bdb298e8a4ae62d6c2055ad706f62e52fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fac9f45af6f740a714331360025221bdb298e8a4ae62d6c2055ad706f62e52fc","first_computed_at":"2026-05-18T03:39:51.948493Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:39:51.948493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qx7N6cDscTH1pg0fnOmQMjx+vH15JRdqwTckhammvEncp2vkiZ63vdHR2VWX9m0aOGdASJl0FjTamvhLZt0xCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:39:51.948928Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.6368","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a86b62977bb168d6aee7c8d33eb44f4f09b312a1d62d7b05bda8436f9898a43b","sha256:155b4c844d24ca66b682267fa7c5d45496d580f1d3bd0916b63070a02cbb5db1"],"state_sha256":"cf8fb68f212994a7110208507c7958c1d39107b4378c40c6bf649c252cd19434"}