{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:6Q4AS4ANOUUTLNHWY2LRROCTD7","short_pith_number":"pith:6Q4AS4AN","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"},"canonical_sha256":"f43809700d752935b4f6c69718b8531ffac6f6d89ddcf6fd84f8c891228cf20d","source":{"kind":"arxiv","id":"1401.2506","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.2506","created_at":"2026-05-18T02:58:45Z"},{"alias_kind":"arxiv_version","alias_value":"1401.2506v2","created_at":"2026-05-18T02:58:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2506","created_at":"2026-05-18T02:58:45Z"},{"alias_kind":"pith_short_12","alias_value":"6Q4AS4ANOUUT","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6Q4AS4ANOUUTLNHW","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6Q4AS4AN","created_at":"2026-05-18T12:28:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:6Q4AS4ANOUUTLNHWY2LRROCTD7","target":"record","payload":{"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"},"canonical_sha256":"f43809700d752935b4f6c69718b8531ffac6f6d89ddcf6fd84f8c891228cf20d","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"},"source_kind":"arxiv","source_id":"1401.2506","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:58:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qeOI8u6orgwnSFUCNSxULcnCOhKVi3oFuzE6eIrE/wR40WG8uAMlslpRqo4KvbAYIt+IhUr3cBgfaLxJs6T0CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T19:51:56.165558Z"},"content_sha256":"f44f9dc5f77b70f5e640213091bd3c75f3b4ce602ecf29c73fc4860243d83a10","schema_version":"1.0","event_id":"sha256:f44f9dc5f77b70f5e640213091bd3c75f3b4ce602ecf29c73fc4860243d83a10"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:6Q4AS4ANOUUTLNHWY2LRROCTD7","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:58:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VqNEyRqilJhPuLmw3QkjESAiZ+lJvYTPDApIvVd0mzSQ4v4fFEOQD5aAw09IlLM2K2j0YJub+Dl2nxSyXOZYDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T19:51:56.165897Z"},"content_sha256":"b2327cb1d04a4620b89de9f8f798ebe8ffb3fc45d99e7ffaaffb5081b693a820","schema_version":"1.0","event_id":"sha256:b2327cb1d04a4620b89de9f8f798ebe8ffb3fc45d99e7ffaaffb5081b693a820"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6Q4AS4ANOUUTLNHWY2LRROCTD7/bundle.json","state_url":"https://pith.science/pith/6Q4AS4ANOUUTLNHWY2LRROCTD7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6Q4AS4ANOUUTLNHWY2LRROCTD7/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-22T19:51:56Z","links":{"resolver":"https://pith.science/pith/6Q4AS4ANOUUTLNHWY2LRROCTD7","bundle":"https://pith.science/pith/6Q4AS4ANOUUTLNHWY2LRROCTD7/bundle.json","state":"https://pith.science/pith/6Q4AS4ANOUUTLNHWY2LRROCTD7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6Q4AS4ANOUUTLNHWY2LRROCTD7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6Q4AS4ANOUUTLNHWY2LRROCTD7","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":"921e88575e39f6a53ef5f28d8a39cb214ce3eb441347f394f612e17102d49313","cross_cats_sorted":["nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-01-11T06:20:34Z","title_canon_sha256":"5097b25930ec11dfef0a6ec2009026caecd3095d24f81653597e46042ff13958"},"schema_version":"1.0","source":{"id":"1401.2506","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.2506","created_at":"2026-05-18T02:58:45Z"},{"alias_kind":"arxiv_version","alias_value":"1401.2506v2","created_at":"2026-05-18T02:58:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2506","created_at":"2026-05-18T02:58:45Z"},{"alias_kind":"pith_short_12","alias_value":"6Q4AS4ANOUUT","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6Q4AS4ANOUUTLNHW","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6Q4AS4AN","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:b2327cb1d04a4620b89de9f8f798ebe8ffb3fc45d99e7ffaaffb5081b693a820","target":"graph","created_at":"2026-05-18T02:58:45Z","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 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.","authors_text":"Jonatan Lenells","cross_cats":["nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-01-11T06:20:34Z","title":"Matrix Riemann-Hilbert problems with jumps across Carleson contours"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2506","kind":"arxiv","version":2},"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:f44f9dc5f77b70f5e640213091bd3c75f3b4ce602ecf29c73fc4860243d83a10","target":"record","created_at":"2026-05-18T02:58:45Z","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":"921e88575e39f6a53ef5f28d8a39cb214ce3eb441347f394f612e17102d49313","cross_cats_sorted":["nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-01-11T06:20:34Z","title_canon_sha256":"5097b25930ec11dfef0a6ec2009026caecd3095d24f81653597e46042ff13958"},"schema_version":"1.0","source":{"id":"1401.2506","kind":"arxiv","version":2}},"canonical_sha256":"f43809700d752935b4f6c69718b8531ffac6f6d89ddcf6fd84f8c891228cf20d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f43809700d752935b4f6c69718b8531ffac6f6d89ddcf6fd84f8c891228cf20d","first_computed_at":"2026-05-18T02:58:45.027866Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:45.027866Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j476Pd1fZ3do7jB57yAe7PeuL7HKsehZInCqyi/8jkbUXOCHVJ+dxeGWHzvxdzNB54U39ydgJUPAufcAWLJGAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:45.029218Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.2506","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f44f9dc5f77b70f5e640213091bd3c75f3b4ce602ecf29c73fc4860243d83a10","sha256:b2327cb1d04a4620b89de9f8f798ebe8ffb3fc45d99e7ffaaffb5081b693a820"],"state_sha256":"0581aa57fd3637a4e2f69941b566370e358c74a0255ea2ffc777059e0323ef5b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FzTS4BdXQaBX5NFWtSQjvOMYV5TlvZBRJAGsDgODyFTeLFfKxxffOpCtIGsTmtFCADvXsUPZRjkBojtk2hCPDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T19:51:56.167894Z","bundle_sha256":"4c89bac977303784997bd5509a0b6ea2c274bfe4c0e8e71a2a16a65410583155"}}