{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:I4Y337R2JADWAZLXEQGM5HTJPX","short_pith_number":"pith:I4Y337R2","schema_version":"1.0","canonical_sha256":"4731bdfe3a4807606577240cce9e697df23afde4df21f23c131e16506c2b0fca","source":{"kind":"arxiv","id":"1609.04610","version":1},"attestation_state":"computed","paper":{"title":"A note on approximation of plurisubharmonic functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Haakan Persson, Jan Wiegerinck","submitted_at":"2016-09-15T12:48:00Z","abstract_excerpt":"We extend a recent result of Avelin, Hed, and Persson about approximation of functions $u$ that are plurisubharmonic on a domain $\\Omega$ and continuous on $\\bar\\Omega$, with functions that are plurisubharmonic on (shrinking) neighborhoods of $\\bar\\Omega$. We show that such approximation is possible if the boundary of $\\Omega$ is $C^0$ outside a countable exceptional set $E\\subset\\partial \\Omega$. In particular, approximation is possible on the Hartogs triangle. For H\\\"older continuous $u$, approximation is possible under less restrictive conditions on $E$. We next give examples of domains whe"},"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":"1609.04610","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-09-15T12:48:00Z","cross_cats_sorted":[],"title_canon_sha256":"7cf349baf96b597b52bc2c4996a56eadd818b95f9c3f997abb0fb1a44a71b37e","abstract_canon_sha256":"5e989e4e74ba951c4482631a5c9407890e210028b24722fb17058d846d36b5c0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:36.208426Z","signature_b64":"Q032t5eaRhKtb3bkIooZAEXbUdWCskK8DeXBD02oNETKhpC9kg5wBE4OWe4iE97eSLiMNOQuYzZUPPpPIJ6SCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4731bdfe3a4807606577240cce9e697df23afde4df21f23c131e16506c2b0fca","last_reissued_at":"2026-05-18T01:04:36.207669Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:36.207669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on approximation of plurisubharmonic functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Haakan Persson, Jan Wiegerinck","submitted_at":"2016-09-15T12:48:00Z","abstract_excerpt":"We extend a recent result of Avelin, Hed, and Persson about approximation of functions $u$ that are plurisubharmonic on a domain $\\Omega$ and continuous on $\\bar\\Omega$, with functions that are plurisubharmonic on (shrinking) neighborhoods of $\\bar\\Omega$. We show that such approximation is possible if the boundary of $\\Omega$ is $C^0$ outside a countable exceptional set $E\\subset\\partial \\Omega$. In particular, approximation is possible on the Hartogs triangle. For H\\\"older continuous $u$, approximation is possible under less restrictive conditions on $E$. We next give examples of domains whe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.04610","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":"1609.04610","created_at":"2026-05-18T01:04:36.207780+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.04610v1","created_at":"2026-05-18T01:04:36.207780+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.04610","created_at":"2026-05-18T01:04:36.207780+00:00"},{"alias_kind":"pith_short_12","alias_value":"I4Y337R2JADW","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_16","alias_value":"I4Y337R2JADWAZLX","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_8","alias_value":"I4Y337R2","created_at":"2026-05-18T12:30:22.444734+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/I4Y337R2JADWAZLXEQGM5HTJPX","json":"https://pith.science/pith/I4Y337R2JADWAZLXEQGM5HTJPX.json","graph_json":"https://pith.science/api/pith-number/I4Y337R2JADWAZLXEQGM5HTJPX/graph.json","events_json":"https://pith.science/api/pith-number/I4Y337R2JADWAZLXEQGM5HTJPX/events.json","paper":"https://pith.science/paper/I4Y337R2"},"agent_actions":{"view_html":"https://pith.science/pith/I4Y337R2JADWAZLXEQGM5HTJPX","download_json":"https://pith.science/pith/I4Y337R2JADWAZLXEQGM5HTJPX.json","view_paper":"https://pith.science/paper/I4Y337R2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.04610&json=true","fetch_graph":"https://pith.science/api/pith-number/I4Y337R2JADWAZLXEQGM5HTJPX/graph.json","fetch_events":"https://pith.science/api/pith-number/I4Y337R2JADWAZLXEQGM5HTJPX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I4Y337R2JADWAZLXEQGM5HTJPX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I4Y337R2JADWAZLXEQGM5HTJPX/action/storage_attestation","attest_author":"https://pith.science/pith/I4Y337R2JADWAZLXEQGM5HTJPX/action/author_attestation","sign_citation":"https://pith.science/pith/I4Y337R2JADWAZLXEQGM5HTJPX/action/citation_signature","submit_replication":"https://pith.science/pith/I4Y337R2JADWAZLXEQGM5HTJPX/action/replication_record"}},"created_at":"2026-05-18T01:04:36.207780+00:00","updated_at":"2026-05-18T01:04:36.207780+00:00"}