{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:HIOVM3KXS5THW5SFEQVOGFP2X3","short_pith_number":"pith:HIOVM3KX","schema_version":"1.0","canonical_sha256":"3a1d566d5797667b7645242ae315fabef9dce0569f8d9459fef0b1155049fae2","source":{"kind":"arxiv","id":"1303.6547","version":3},"attestation_state":"computed","paper":{"title":"The tangential Cauchy-Riemann complex on the Heisenberg group Via Conformal Invariance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.CV","authors_text":"Chin-Yu Hsiao, Po-Lam Yung","submitted_at":"2013-03-26T16:32:25Z","abstract_excerpt":"The Heisenberg group $\\mathbb{H}^1$ is known to be conformally equivalent to the CR sphere $\\mathbb{S}^3$ minus a point. We use this fact, together with the knowledge of the tangential Cauchy-Riemann operator on the compact CR manifold $\\mathbb{S}^3$, to solve the corresponding operator on $\\mathbb{H}^1$."},"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":"1303.6547","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-26T16:32:25Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"97af4456fd781156a3745d05c5922a28a447e273c7b472ee66637992c7da5fbf","abstract_canon_sha256":"522e95debd52402535edeaba5b9287285fcc305a04cd4fc9fb184f6a42acf75c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:05.271821Z","signature_b64":"OQpW/H8cpUkxu8UvXmVj0eScfilRBfGjyBFzYweaHyJ+DAAYfAKCP7+Lp/eToj3qnUGluiRuGbMzrosVQzy3DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a1d566d5797667b7645242ae315fabef9dce0569f8d9459fef0b1155049fae2","last_reissued_at":"2026-05-18T03:22:05.271135Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:05.271135Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The tangential Cauchy-Riemann complex on the Heisenberg group Via Conformal Invariance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.CV","authors_text":"Chin-Yu Hsiao, Po-Lam Yung","submitted_at":"2013-03-26T16:32:25Z","abstract_excerpt":"The Heisenberg group $\\mathbb{H}^1$ is known to be conformally equivalent to the CR sphere $\\mathbb{S}^3$ minus a point. We use this fact, together with the knowledge of the tangential Cauchy-Riemann operator on the compact CR manifold $\\mathbb{S}^3$, to solve the corresponding operator on $\\mathbb{H}^1$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.6547","kind":"arxiv","version":3},"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":"1303.6547","created_at":"2026-05-18T03:22:05.271267+00:00"},{"alias_kind":"arxiv_version","alias_value":"1303.6547v3","created_at":"2026-05-18T03:22:05.271267+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.6547","created_at":"2026-05-18T03:22:05.271267+00:00"},{"alias_kind":"pith_short_12","alias_value":"HIOVM3KXS5TH","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"HIOVM3KXS5THW5SF","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"HIOVM3KX","created_at":"2026-05-18T12:27:46.883200+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/HIOVM3KXS5THW5SFEQVOGFP2X3","json":"https://pith.science/pith/HIOVM3KXS5THW5SFEQVOGFP2X3.json","graph_json":"https://pith.science/api/pith-number/HIOVM3KXS5THW5SFEQVOGFP2X3/graph.json","events_json":"https://pith.science/api/pith-number/HIOVM3KXS5THW5SFEQVOGFP2X3/events.json","paper":"https://pith.science/paper/HIOVM3KX"},"agent_actions":{"view_html":"https://pith.science/pith/HIOVM3KXS5THW5SFEQVOGFP2X3","download_json":"https://pith.science/pith/HIOVM3KXS5THW5SFEQVOGFP2X3.json","view_paper":"https://pith.science/paper/HIOVM3KX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1303.6547&json=true","fetch_graph":"https://pith.science/api/pith-number/HIOVM3KXS5THW5SFEQVOGFP2X3/graph.json","fetch_events":"https://pith.science/api/pith-number/HIOVM3KXS5THW5SFEQVOGFP2X3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HIOVM3KXS5THW5SFEQVOGFP2X3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HIOVM3KXS5THW5SFEQVOGFP2X3/action/storage_attestation","attest_author":"https://pith.science/pith/HIOVM3KXS5THW5SFEQVOGFP2X3/action/author_attestation","sign_citation":"https://pith.science/pith/HIOVM3KXS5THW5SFEQVOGFP2X3/action/citation_signature","submit_replication":"https://pith.science/pith/HIOVM3KXS5THW5SFEQVOGFP2X3/action/replication_record"}},"created_at":"2026-05-18T03:22:05.271267+00:00","updated_at":"2026-05-18T03:22:05.271267+00:00"}