{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:B7UHYBF36KJDQBRDTFLLUVFWK6","short_pith_number":"pith:B7UHYBF3","schema_version":"1.0","canonical_sha256":"0fe87c04bbf2923806239956ba54b657ac764779978663f533cc7f9dbd2e6386","source":{"kind":"arxiv","id":"1804.10046","version":2},"attestation_state":"computed","paper":{"title":"Note on the convolution of harmonic mappings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Liulan Li, Saminathan Ponnusamy","submitted_at":"2018-04-26T13:35:52Z","abstract_excerpt":"Dorff et al. \\cite{DN} formulated a question concerning the convolution of two right half-plane mappings, where the normalization of the functions was considered incorrectly. In this paper, we have reformulated the open problem in correct form and provided a solution to it in a more general form. In addition, we also obtain two new theorems which correct and improve some other results."},"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":"1804.10046","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-04-26T13:35:52Z","cross_cats_sorted":[],"title_canon_sha256":"7cbd6bd8b653b5971a445438140ed0029f0b16b0e2d2a8ec7953d654b22fec59","abstract_canon_sha256":"56fb01f4ee69ae7156c47bae04bcf843044e763a0cf49dd34d5fa49b784893d8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:38.580022Z","signature_b64":"yUYwObixES1H7/7g+iGgKEIloqHgg3pa2hrXJvWc+Ja4SkENR8IcYictlPFMb7f9bH5Vpd9aKqCOWln5BIUlBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0fe87c04bbf2923806239956ba54b657ac764779978663f533cc7f9dbd2e6386","last_reissued_at":"2026-05-17T23:45:38.579369Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:38.579369Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Note on the convolution of harmonic mappings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Liulan Li, Saminathan Ponnusamy","submitted_at":"2018-04-26T13:35:52Z","abstract_excerpt":"Dorff et al. \\cite{DN} formulated a question concerning the convolution of two right half-plane mappings, where the normalization of the functions was considered incorrectly. In this paper, we have reformulated the open problem in correct form and provided a solution to it in a more general form. In addition, we also obtain two new theorems which correct and improve some other results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.10046","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":"1804.10046","created_at":"2026-05-17T23:45:38.579466+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.10046v2","created_at":"2026-05-17T23:45:38.579466+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.10046","created_at":"2026-05-17T23:45:38.579466+00:00"},{"alias_kind":"pith_short_12","alias_value":"B7UHYBF36KJD","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_16","alias_value":"B7UHYBF36KJDQBRD","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_8","alias_value":"B7UHYBF3","created_at":"2026-05-18T12:32:13.499390+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/B7UHYBF36KJDQBRDTFLLUVFWK6","json":"https://pith.science/pith/B7UHYBF36KJDQBRDTFLLUVFWK6.json","graph_json":"https://pith.science/api/pith-number/B7UHYBF36KJDQBRDTFLLUVFWK6/graph.json","events_json":"https://pith.science/api/pith-number/B7UHYBF36KJDQBRDTFLLUVFWK6/events.json","paper":"https://pith.science/paper/B7UHYBF3"},"agent_actions":{"view_html":"https://pith.science/pith/B7UHYBF36KJDQBRDTFLLUVFWK6","download_json":"https://pith.science/pith/B7UHYBF36KJDQBRDTFLLUVFWK6.json","view_paper":"https://pith.science/paper/B7UHYBF3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.10046&json=true","fetch_graph":"https://pith.science/api/pith-number/B7UHYBF36KJDQBRDTFLLUVFWK6/graph.json","fetch_events":"https://pith.science/api/pith-number/B7UHYBF36KJDQBRDTFLLUVFWK6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B7UHYBF36KJDQBRDTFLLUVFWK6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B7UHYBF36KJDQBRDTFLLUVFWK6/action/storage_attestation","attest_author":"https://pith.science/pith/B7UHYBF36KJDQBRDTFLLUVFWK6/action/author_attestation","sign_citation":"https://pith.science/pith/B7UHYBF36KJDQBRDTFLLUVFWK6/action/citation_signature","submit_replication":"https://pith.science/pith/B7UHYBF36KJDQBRDTFLLUVFWK6/action/replication_record"}},"created_at":"2026-05-17T23:45:38.579466+00:00","updated_at":"2026-05-17T23:45:38.579466+00:00"}