{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:6CRHYWTHIVMJGOMPNM4LYSOSR5","short_pith_number":"pith:6CRHYWTH","schema_version":"1.0","canonical_sha256":"f0a27c5a67455893398f6b38bc49d28f7e9b8f248cc534435d120f43b72b2b57","source":{"kind":"arxiv","id":"1405.6759","version":3},"attestation_state":"computed","paper":{"title":"Harmonic Shears and Numerical Conformal Mappings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.NA","authors_text":"Tri Quach","submitted_at":"2014-05-26T23:51:40Z","abstract_excerpt":"In this article we introduce a numerical algorithm for finding harmonic mappings by using the shear construction introduced by Clunie and Sheil-Small in 1984. The MATLAB implementation of the algorithm is based on the numerical conformal mapping package, the Schwarz-Christoffel toolbox, by T. Driscoll. Several numerical examples are given. In addition, we discuss briefly the minimal surfaces associated with harmonic mappings and give a numerical example of minimal surfaces."},"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":"1405.6759","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-05-26T23:51:40Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"4dc30a2107aab510733313d01b0e90bd93370a234bce8ac226b2ea08642528ef","abstract_canon_sha256":"be7bc307053af76d6af23c2bb2bcee76ca13f74e5504d37bae4fa91c676623aa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:25.853815Z","signature_b64":"XkJJKfO9XCATYKA4Wb1Qem7UXfBOdhLn4Sg3A7hLJV82wp7Fcx1cy7hH09mvWZ927OMj685ukiwBAyfh4OxDCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0a27c5a67455893398f6b38bc49d28f7e9b8f248cc534435d120f43b72b2b57","last_reissued_at":"2026-05-18T01:30:25.853181Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:25.853181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Harmonic Shears and Numerical Conformal Mappings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.NA","authors_text":"Tri Quach","submitted_at":"2014-05-26T23:51:40Z","abstract_excerpt":"In this article we introduce a numerical algorithm for finding harmonic mappings by using the shear construction introduced by Clunie and Sheil-Small in 1984. The MATLAB implementation of the algorithm is based on the numerical conformal mapping package, the Schwarz-Christoffel toolbox, by T. Driscoll. Several numerical examples are given. In addition, we discuss briefly the minimal surfaces associated with harmonic mappings and give a numerical example of minimal surfaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.6759","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":"1405.6759","created_at":"2026-05-18T01:30:25.853260+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.6759v3","created_at":"2026-05-18T01:30:25.853260+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.6759","created_at":"2026-05-18T01:30:25.853260+00:00"},{"alias_kind":"pith_short_12","alias_value":"6CRHYWTHIVMJ","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"6CRHYWTHIVMJGOMP","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"6CRHYWTH","created_at":"2026-05-18T12:28:16.859392+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/6CRHYWTHIVMJGOMPNM4LYSOSR5","json":"https://pith.science/pith/6CRHYWTHIVMJGOMPNM4LYSOSR5.json","graph_json":"https://pith.science/api/pith-number/6CRHYWTHIVMJGOMPNM4LYSOSR5/graph.json","events_json":"https://pith.science/api/pith-number/6CRHYWTHIVMJGOMPNM4LYSOSR5/events.json","paper":"https://pith.science/paper/6CRHYWTH"},"agent_actions":{"view_html":"https://pith.science/pith/6CRHYWTHIVMJGOMPNM4LYSOSR5","download_json":"https://pith.science/pith/6CRHYWTHIVMJGOMPNM4LYSOSR5.json","view_paper":"https://pith.science/paper/6CRHYWTH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.6759&json=true","fetch_graph":"https://pith.science/api/pith-number/6CRHYWTHIVMJGOMPNM4LYSOSR5/graph.json","fetch_events":"https://pith.science/api/pith-number/6CRHYWTHIVMJGOMPNM4LYSOSR5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6CRHYWTHIVMJGOMPNM4LYSOSR5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6CRHYWTHIVMJGOMPNM4LYSOSR5/action/storage_attestation","attest_author":"https://pith.science/pith/6CRHYWTHIVMJGOMPNM4LYSOSR5/action/author_attestation","sign_citation":"https://pith.science/pith/6CRHYWTHIVMJGOMPNM4LYSOSR5/action/citation_signature","submit_replication":"https://pith.science/pith/6CRHYWTHIVMJGOMPNM4LYSOSR5/action/replication_record"}},"created_at":"2026-05-18T01:30:25.853260+00:00","updated_at":"2026-05-18T01:30:25.853260+00:00"}