{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:WCTGFAPYVDEPF2WJORBJDCBPBD","short_pith_number":"pith:WCTGFAPY","schema_version":"1.0","canonical_sha256":"b0a66281f8a8c8f2eac9744291882f08de0848aadc0939303b435660a836393b","source":{"kind":"arxiv","id":"1512.06330","version":1},"attestation_state":"computed","paper":{"title":"On the Lipschitz continuity of certain quasiregular mappings between smooth Jordan domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Jiaolong Chen, Peijin Li, Swadesh Kumar Sahoo, Xiantao Wang","submitted_at":"2015-12-20T07:18:37Z","abstract_excerpt":"We first investigate the Lipschitz continuity of $(K, K')$-quasiregular $C^2$ mappings between two Jordan domains with smooth boundaries, satisfying certain partial differential inequalities concerning Laplacian. Then two applications of the obtained result are given: As a direct consequence, we get the Lipschitz continuity of $\\rho$-harmonic $(K, K')$-quasiregular mappings, and as the other application, we study the Lipschitz continuity of $(K,K')$-quasiconformal self-mappings of the unit disk, which are the solutions of the Poisson equation $\\Delta w=g$. These results generalize and extend s"},"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":"1512.06330","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-12-20T07:18:37Z","cross_cats_sorted":[],"title_canon_sha256":"a4c581511576817e0215f4a5e68bb7ae3e877ce1869b0fd243cbe5ad405de58d","abstract_canon_sha256":"1f3dc6c7be8b7fcc261c8424f05fee4c740d3db68ca272ec04c5669382672b15"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:00.818675Z","signature_b64":"xv5CtVXmLw2qoUR+5g+Alihy6fwGGRWmIUyqP50JCSQLrJfwsFb3LvzAwUYReIjrGXUGOX4rwy0DRB7pfaqXBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b0a66281f8a8c8f2eac9744291882f08de0848aadc0939303b435660a836393b","last_reissued_at":"2026-05-18T01:24:00.818053Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:00.818053Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Lipschitz continuity of certain quasiregular mappings between smooth Jordan domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Jiaolong Chen, Peijin Li, Swadesh Kumar Sahoo, Xiantao Wang","submitted_at":"2015-12-20T07:18:37Z","abstract_excerpt":"We first investigate the Lipschitz continuity of $(K, K')$-quasiregular $C^2$ mappings between two Jordan domains with smooth boundaries, satisfying certain partial differential inequalities concerning Laplacian. Then two applications of the obtained result are given: As a direct consequence, we get the Lipschitz continuity of $\\rho$-harmonic $(K, K')$-quasiregular mappings, and as the other application, we study the Lipschitz continuity of $(K,K')$-quasiconformal self-mappings of the unit disk, which are the solutions of the Poisson equation $\\Delta w=g$. These results generalize and extend s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.06330","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":"1512.06330","created_at":"2026-05-18T01:24:00.818137+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.06330v1","created_at":"2026-05-18T01:24:00.818137+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.06330","created_at":"2026-05-18T01:24:00.818137+00:00"},{"alias_kind":"pith_short_12","alias_value":"WCTGFAPYVDEP","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_16","alias_value":"WCTGFAPYVDEPF2WJ","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_8","alias_value":"WCTGFAPY","created_at":"2026-05-18T12:29:47.479230+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/WCTGFAPYVDEPF2WJORBJDCBPBD","json":"https://pith.science/pith/WCTGFAPYVDEPF2WJORBJDCBPBD.json","graph_json":"https://pith.science/api/pith-number/WCTGFAPYVDEPF2WJORBJDCBPBD/graph.json","events_json":"https://pith.science/api/pith-number/WCTGFAPYVDEPF2WJORBJDCBPBD/events.json","paper":"https://pith.science/paper/WCTGFAPY"},"agent_actions":{"view_html":"https://pith.science/pith/WCTGFAPYVDEPF2WJORBJDCBPBD","download_json":"https://pith.science/pith/WCTGFAPYVDEPF2WJORBJDCBPBD.json","view_paper":"https://pith.science/paper/WCTGFAPY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.06330&json=true","fetch_graph":"https://pith.science/api/pith-number/WCTGFAPYVDEPF2WJORBJDCBPBD/graph.json","fetch_events":"https://pith.science/api/pith-number/WCTGFAPYVDEPF2WJORBJDCBPBD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WCTGFAPYVDEPF2WJORBJDCBPBD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WCTGFAPYVDEPF2WJORBJDCBPBD/action/storage_attestation","attest_author":"https://pith.science/pith/WCTGFAPYVDEPF2WJORBJDCBPBD/action/author_attestation","sign_citation":"https://pith.science/pith/WCTGFAPYVDEPF2WJORBJDCBPBD/action/citation_signature","submit_replication":"https://pith.science/pith/WCTGFAPYVDEPF2WJORBJDCBPBD/action/replication_record"}},"created_at":"2026-05-18T01:24:00.818137+00:00","updated_at":"2026-05-18T01:24:00.818137+00:00"}