{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:QREJENKDZH7YANO7E4D7AUZVLY","short_pith_number":"pith:QREJENKD","schema_version":"1.0","canonical_sha256":"8448923543c9ff8035df2707f053355e11ddcc8dfdd72f5c439a9fc8f5e0f42b","source":{"kind":"arxiv","id":"1305.0188","version":1},"attestation_state":"computed","paper":{"title":"Regularity equivalence of the Szeg\\\"o projection and the complex Green operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.CV","authors_text":"Andrew S. Raich, Marco M. Peloso, Phillip S. Harrington","submitted_at":"2013-05-01T14:47:19Z","abstract_excerpt":"In this paper we prove that on a CR manifold of hypersurface type that satisfies the weak $Y(q)$ condition, the complex Green operator $G_q$ is exactly (globally) regular if and only if the Szeg\\\"o projections $S_{q-1}, S_q$ and a third orthogonal projection $S'_{q+1}$ are exactly (globally) regular. The projection $S'_{q+1}$ is closely related to the Szeg\\\"o projection $S_{q+1}$ and actually coincides with it if the space of harmonic $(0,q+1)$-forms is trivial.\n  This result extends the important and by now classical result by H. Boas and E. Straube on the equivalence of the regularity of the"},"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":"1305.0188","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-05-01T14:47:19Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"c054420d27d085fd0c3d47990d41efc74ebc5d75b45b8514b02f0132eec822d8","abstract_canon_sha256":"007c61f7120e72915a26b90e0edb37ea50c91b6ff4ae053294687da5aae64d52"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:40.124312Z","signature_b64":"hN7qyWYbV56h/Mt5xInqJAPCGStJudTCHt6ajYyXzVPPu6t4FLn/coxKRzxbk6LpIU/HTgCmi/Zu6/nldxOvBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8448923543c9ff8035df2707f053355e11ddcc8dfdd72f5c439a9fc8f5e0f42b","last_reissued_at":"2026-05-18T01:34:40.123511Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:40.123511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Regularity equivalence of the Szeg\\\"o projection and the complex Green operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.CV","authors_text":"Andrew S. Raich, Marco M. Peloso, Phillip S. Harrington","submitted_at":"2013-05-01T14:47:19Z","abstract_excerpt":"In this paper we prove that on a CR manifold of hypersurface type that satisfies the weak $Y(q)$ condition, the complex Green operator $G_q$ is exactly (globally) regular if and only if the Szeg\\\"o projections $S_{q-1}, S_q$ and a third orthogonal projection $S'_{q+1}$ are exactly (globally) regular. The projection $S'_{q+1}$ is closely related to the Szeg\\\"o projection $S_{q+1}$ and actually coincides with it if the space of harmonic $(0,q+1)$-forms is trivial.\n  This result extends the important and by now classical result by H. Boas and E. Straube on the equivalence of the regularity of the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0188","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1305.0188","created_at":"2026-05-18T01:34:40.123648+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.0188v1","created_at":"2026-05-18T01:34:40.123648+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0188","created_at":"2026-05-18T01:34:40.123648+00:00"},{"alias_kind":"pith_short_12","alias_value":"QREJENKDZH7Y","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_16","alias_value":"QREJENKDZH7YANO7","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_8","alias_value":"QREJENKD","created_at":"2026-05-18T12:27:57.521954+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QREJENKDZH7YANO7E4D7AUZVLY","json":"https://pith.science/pith/QREJENKDZH7YANO7E4D7AUZVLY.json","graph_json":"https://pith.science/api/pith-number/QREJENKDZH7YANO7E4D7AUZVLY/graph.json","events_json":"https://pith.science/api/pith-number/QREJENKDZH7YANO7E4D7AUZVLY/events.json","paper":"https://pith.science/paper/QREJENKD"},"agent_actions":{"view_html":"https://pith.science/pith/QREJENKDZH7YANO7E4D7AUZVLY","download_json":"https://pith.science/pith/QREJENKDZH7YANO7E4D7AUZVLY.json","view_paper":"https://pith.science/paper/QREJENKD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.0188&json=true","fetch_graph":"https://pith.science/api/pith-number/QREJENKDZH7YANO7E4D7AUZVLY/graph.json","fetch_events":"https://pith.science/api/pith-number/QREJENKDZH7YANO7E4D7AUZVLY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QREJENKDZH7YANO7E4D7AUZVLY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QREJENKDZH7YANO7E4D7AUZVLY/action/storage_attestation","attest_author":"https://pith.science/pith/QREJENKDZH7YANO7E4D7AUZVLY/action/author_attestation","sign_citation":"https://pith.science/pith/QREJENKDZH7YANO7E4D7AUZVLY/action/citation_signature","submit_replication":"https://pith.science/pith/QREJENKDZH7YANO7E4D7AUZVLY/action/replication_record"}},"created_at":"2026-05-18T01:34:40.123648+00:00","updated_at":"2026-05-18T01:34:40.123648+00:00"}