{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:6Q4AS4ANOUUTLNHWY2LRROCTD7","short_pith_number":"pith:6Q4AS4AN","schema_version":"1.0","canonical_sha256":"f43809700d752935b4f6c69718b8531ffac6f6d89ddcf6fd84f8c891228cf20d","source":{"kind":"arxiv","id":"1401.2506","version":2},"attestation_state":"computed","paper":{"title":"Matrix Riemann-Hilbert problems with jumps across Carleson contours","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.SI"],"primary_cat":"math.CV","authors_text":"Jonatan Lenells","submitted_at":"2014-01-11T06:20:34Z","abstract_excerpt":"We develop a theory of $n \\times n$-matrix Riemann-Hilbert problems for a class of jump contours and jump matrices of low regularity. Our basic assumption is that the contour $\\Gamma$ is a finite union of simple closed Carleson curves in the Riemann sphere. In particular, contours with cusps, corners, and nontransversal intersections are allowed. We introduce a notion of $L^p$-Riemann-Hilbert problem and establish basic uniqueness results and a vanishing lemma. We also investigate the implications of Fredholmness for the unique solvability and prove a theorem on contour deformation."},"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":"1401.2506","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-01-11T06:20:34Z","cross_cats_sorted":["nlin.SI"],"title_canon_sha256":"5097b25930ec11dfef0a6ec2009026caecd3095d24f81653597e46042ff13958","abstract_canon_sha256":"921e88575e39f6a53ef5f28d8a39cb214ce3eb441347f394f612e17102d49313"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:45.029218Z","signature_b64":"j476Pd1fZ3do7jB57yAe7PeuL7HKsehZInCqyi/8jkbUXOCHVJ+dxeGWHzvxdzNB54U39ydgJUPAufcAWLJGAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f43809700d752935b4f6c69718b8531ffac6f6d89ddcf6fd84f8c891228cf20d","last_reissued_at":"2026-05-18T02:58:45.027866Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:45.027866Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Matrix Riemann-Hilbert problems with jumps across Carleson contours","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.SI"],"primary_cat":"math.CV","authors_text":"Jonatan Lenells","submitted_at":"2014-01-11T06:20:34Z","abstract_excerpt":"We develop a theory of $n \\times n$-matrix Riemann-Hilbert problems for a class of jump contours and jump matrices of low regularity. Our basic assumption is that the contour $\\Gamma$ is a finite union of simple closed Carleson curves in the Riemann sphere. In particular, contours with cusps, corners, and nontransversal intersections are allowed. We introduce a notion of $L^p$-Riemann-Hilbert problem and establish basic uniqueness results and a vanishing lemma. We also investigate the implications of Fredholmness for the unique solvability and prove a theorem on contour deformation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2506","kind":"arxiv","version":2},"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":"1401.2506","created_at":"2026-05-18T02:58:45.028513+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.2506v2","created_at":"2026-05-18T02:58:45.028513+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2506","created_at":"2026-05-18T02:58:45.028513+00:00"},{"alias_kind":"pith_short_12","alias_value":"6Q4AS4ANOUUT","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"6Q4AS4ANOUUTLNHW","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"6Q4AS4AN","created_at":"2026-05-18T12:28:16.859392+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.10394","citing_title":"Analysis of Log-Weighted Quadrature Domains","ref_index":14,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6Q4AS4ANOUUTLNHWY2LRROCTD7","json":"https://pith.science/pith/6Q4AS4ANOUUTLNHWY2LRROCTD7.json","graph_json":"https://pith.science/api/pith-number/6Q4AS4ANOUUTLNHWY2LRROCTD7/graph.json","events_json":"https://pith.science/api/pith-number/6Q4AS4ANOUUTLNHWY2LRROCTD7/events.json","paper":"https://pith.science/paper/6Q4AS4AN"},"agent_actions":{"view_html":"https://pith.science/pith/6Q4AS4ANOUUTLNHWY2LRROCTD7","download_json":"https://pith.science/pith/6Q4AS4ANOUUTLNHWY2LRROCTD7.json","view_paper":"https://pith.science/paper/6Q4AS4AN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.2506&json=true","fetch_graph":"https://pith.science/api/pith-number/6Q4AS4ANOUUTLNHWY2LRROCTD7/graph.json","fetch_events":"https://pith.science/api/pith-number/6Q4AS4ANOUUTLNHWY2LRROCTD7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6Q4AS4ANOUUTLNHWY2LRROCTD7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6Q4AS4ANOUUTLNHWY2LRROCTD7/action/storage_attestation","attest_author":"https://pith.science/pith/6Q4AS4ANOUUTLNHWY2LRROCTD7/action/author_attestation","sign_citation":"https://pith.science/pith/6Q4AS4ANOUUTLNHWY2LRROCTD7/action/citation_signature","submit_replication":"https://pith.science/pith/6Q4AS4ANOUUTLNHWY2LRROCTD7/action/replication_record"}},"created_at":"2026-05-18T02:58:45.028513+00:00","updated_at":"2026-05-18T02:58:45.028513+00:00"}