{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:ATYI7P4XLYEXN3WYPH3NL5HUUJ","short_pith_number":"pith:ATYI7P4X","schema_version":"1.0","canonical_sha256":"04f08fbf975e0976eed879f6d5f4f4a275cf454b008a29afd0ff8f499cbfbba6","source":{"kind":"arxiv","id":"1605.01232","version":1},"attestation_state":"computed","paper":{"title":"A note on uniqueness boundary of holomorphic mappings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Nguyen Ngoc Khanh, Ninh Van Thu","submitted_at":"2016-05-04T11:41:22Z","abstract_excerpt":"In this paper, we prove Huang et al.'s conjecture stated that if $f$ is a holomorphic function on $\\Delta^+:=\\{z\\in \\mathbb C \\colon |z|<1,~\\mathrm{Im}(z)>0\\}$ with $\\mathcal{C}^\\infty$-smooth extension up to $(-1,1)$ such that $f$ maps $(-1,1)$ into a cone $\\Gamma_C:=\\{z\\in \\mathbb C\\colon |\\mathrm{Im} (z)| \\leq C|\\mathrm{Re} (z)|\\}$, for some positive number $C$, and $f$ vanishes to infinite order at $0$, then $f$ vanishes identically. In addition, some regularity properties of the Riemann mapping functions on the boundary and an example concerning Huang et al.'s conjecture are also given."},"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":"1605.01232","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-05-04T11:41:22Z","cross_cats_sorted":[],"title_canon_sha256":"73f0280a457be170e3b4bf6a0e03d57ca3397a6a121888846fe1a6b29acb5dbb","abstract_canon_sha256":"ab43dcf2e53b6e00b564fd1729b403073c210557042ecafbbf6012efbd89d3fa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:37.419327Z","signature_b64":"2+0S36jkcN1tMfOyf4WPKpVYAl+BYSciB7og2s9NnmFjLr6VcJTvuRTy3XzGZ1pPC/eowUujROQLfAn8Qt2kDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04f08fbf975e0976eed879f6d5f4f4a275cf454b008a29afd0ff8f499cbfbba6","last_reissued_at":"2026-05-18T01:15:37.418581Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:37.418581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on uniqueness boundary of holomorphic mappings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Nguyen Ngoc Khanh, Ninh Van Thu","submitted_at":"2016-05-04T11:41:22Z","abstract_excerpt":"In this paper, we prove Huang et al.'s conjecture stated that if $f$ is a holomorphic function on $\\Delta^+:=\\{z\\in \\mathbb C \\colon |z|<1,~\\mathrm{Im}(z)>0\\}$ with $\\mathcal{C}^\\infty$-smooth extension up to $(-1,1)$ such that $f$ maps $(-1,1)$ into a cone $\\Gamma_C:=\\{z\\in \\mathbb C\\colon |\\mathrm{Im} (z)| \\leq C|\\mathrm{Re} (z)|\\}$, for some positive number $C$, and $f$ vanishes to infinite order at $0$, then $f$ vanishes identically. In addition, some regularity properties of the Riemann mapping functions on the boundary and an example concerning Huang et al.'s conjecture are also given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01232","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":"1605.01232","created_at":"2026-05-18T01:15:37.418713+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.01232v1","created_at":"2026-05-18T01:15:37.418713+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01232","created_at":"2026-05-18T01:15:37.418713+00:00"},{"alias_kind":"pith_short_12","alias_value":"ATYI7P4XLYEX","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_16","alias_value":"ATYI7P4XLYEXN3WY","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_8","alias_value":"ATYI7P4X","created_at":"2026-05-18T12:30:07.202191+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/ATYI7P4XLYEXN3WYPH3NL5HUUJ","json":"https://pith.science/pith/ATYI7P4XLYEXN3WYPH3NL5HUUJ.json","graph_json":"https://pith.science/api/pith-number/ATYI7P4XLYEXN3WYPH3NL5HUUJ/graph.json","events_json":"https://pith.science/api/pith-number/ATYI7P4XLYEXN3WYPH3NL5HUUJ/events.json","paper":"https://pith.science/paper/ATYI7P4X"},"agent_actions":{"view_html":"https://pith.science/pith/ATYI7P4XLYEXN3WYPH3NL5HUUJ","download_json":"https://pith.science/pith/ATYI7P4XLYEXN3WYPH3NL5HUUJ.json","view_paper":"https://pith.science/paper/ATYI7P4X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.01232&json=true","fetch_graph":"https://pith.science/api/pith-number/ATYI7P4XLYEXN3WYPH3NL5HUUJ/graph.json","fetch_events":"https://pith.science/api/pith-number/ATYI7P4XLYEXN3WYPH3NL5HUUJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ATYI7P4XLYEXN3WYPH3NL5HUUJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ATYI7P4XLYEXN3WYPH3NL5HUUJ/action/storage_attestation","attest_author":"https://pith.science/pith/ATYI7P4XLYEXN3WYPH3NL5HUUJ/action/author_attestation","sign_citation":"https://pith.science/pith/ATYI7P4XLYEXN3WYPH3NL5HUUJ/action/citation_signature","submit_replication":"https://pith.science/pith/ATYI7P4XLYEXN3WYPH3NL5HUUJ/action/replication_record"}},"created_at":"2026-05-18T01:15:37.418713+00:00","updated_at":"2026-05-18T01:15:37.418713+00:00"}