{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:WNTVR3W65YTOTXSCR5AECLVOSL","short_pith_number":"pith:WNTVR3W6","schema_version":"1.0","canonical_sha256":"b36758eedeee26e9de428f40412eae92f59c7f23e2aeea6401172726b80642cc","source":{"kind":"arxiv","id":"1903.07207","version":1},"attestation_state":"computed","paper":{"title":"The boundary behaviour of $K$-quasiconformal harmonic mappings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Saminathan Ponnusamy, Shaolin Chen","submitted_at":"2019-03-18T00:08:46Z","abstract_excerpt":"In this article, we first discuss the Lipschitz characteristic and the linear measure distortion of $K$-quasiconformal harmonic mappings. Then we give some characterizations of the radial John disks with the help of Pre-Schwarzian of harmonic mappings."},"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":"1903.07207","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-03-18T00:08:46Z","cross_cats_sorted":[],"title_canon_sha256":"23ebe2397bd74fdb51b28dfc28632e6e920eeec3bc2833825a0d82af5f6b9048","abstract_canon_sha256":"5109d30ec5306fa74b4b284b5348711157f400a847cb2ef22319f9bab04c2c09"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:03.948041Z","signature_b64":"yjL5cy5z0B12IYOcyvXuHz08MnmCOAMN20zaIKCSOH5oYXGSKg5DUNmaq0qh43Zwrw6YpWKG3LOlHotx58O2Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b36758eedeee26e9de428f40412eae92f59c7f23e2aeea6401172726b80642cc","last_reissued_at":"2026-05-17T23:51:03.947493Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:03.947493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The boundary behaviour of $K$-quasiconformal harmonic mappings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Saminathan Ponnusamy, Shaolin Chen","submitted_at":"2019-03-18T00:08:46Z","abstract_excerpt":"In this article, we first discuss the Lipschitz characteristic and the linear measure distortion of $K$-quasiconformal harmonic mappings. Then we give some characterizations of the radial John disks with the help of Pre-Schwarzian of harmonic mappings."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.07207","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":"1903.07207","created_at":"2026-05-17T23:51:03.947579+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.07207v1","created_at":"2026-05-17T23:51:03.947579+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.07207","created_at":"2026-05-17T23:51:03.947579+00:00"},{"alias_kind":"pith_short_12","alias_value":"WNTVR3W65YTO","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_16","alias_value":"WNTVR3W65YTOTXSC","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_8","alias_value":"WNTVR3W6","created_at":"2026-05-18T12:33:30.264802+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/WNTVR3W65YTOTXSCR5AECLVOSL","json":"https://pith.science/pith/WNTVR3W65YTOTXSCR5AECLVOSL.json","graph_json":"https://pith.science/api/pith-number/WNTVR3W65YTOTXSCR5AECLVOSL/graph.json","events_json":"https://pith.science/api/pith-number/WNTVR3W65YTOTXSCR5AECLVOSL/events.json","paper":"https://pith.science/paper/WNTVR3W6"},"agent_actions":{"view_html":"https://pith.science/pith/WNTVR3W65YTOTXSCR5AECLVOSL","download_json":"https://pith.science/pith/WNTVR3W65YTOTXSCR5AECLVOSL.json","view_paper":"https://pith.science/paper/WNTVR3W6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.07207&json=true","fetch_graph":"https://pith.science/api/pith-number/WNTVR3W65YTOTXSCR5AECLVOSL/graph.json","fetch_events":"https://pith.science/api/pith-number/WNTVR3W65YTOTXSCR5AECLVOSL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WNTVR3W65YTOTXSCR5AECLVOSL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WNTVR3W65YTOTXSCR5AECLVOSL/action/storage_attestation","attest_author":"https://pith.science/pith/WNTVR3W65YTOTXSCR5AECLVOSL/action/author_attestation","sign_citation":"https://pith.science/pith/WNTVR3W65YTOTXSCR5AECLVOSL/action/citation_signature","submit_replication":"https://pith.science/pith/WNTVR3W65YTOTXSCR5AECLVOSL/action/replication_record"}},"created_at":"2026-05-17T23:51:03.947579+00:00","updated_at":"2026-05-17T23:51:03.947579+00:00"}