{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:7QK2UZFFOUXY4UPIEQVEHX5ROA","short_pith_number":"pith:7QK2UZFF","schema_version":"1.0","canonical_sha256":"fc15aa64a5752f8e51e8242a43dfb1700f09725b9db2a38855bcc5199a318355","source":{"kind":"arxiv","id":"1703.01549","version":1},"attestation_state":"computed","paper":{"title":"On the H\\\"older continuous subsolution problem for the complex Monge-Amp\\`ere equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Ngoc Cuong Nguyen","submitted_at":"2017-03-05T03:00:21Z","abstract_excerpt":"We give a necessary and sufficient condition for positive Borel measures such that the Dirichlet problem, with zero boundary data, for the complex Monge-Amp\\`ere equation admits H\\\"older continuous plurisubharmonic solutions. In particular, when the subsolution has finite Monge-Amp\\`ere total mass, we obtain an affirmative answer to a question of Zeriahi."},"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":"1703.01549","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-03-05T03:00:21Z","cross_cats_sorted":[],"title_canon_sha256":"e76efb459e1f7081c03a0071d328bbf990da2d2f278631835570a94341bd8c74","abstract_canon_sha256":"31f176c145a963e8dce1eeebc193d9737a79f8ac1d4c2b0ff4c47e5c9c493e98"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:51.365795Z","signature_b64":"xBcOIquBfVmqU4LyLF4L6B5L8DTeKuHFds7Dprh5WLwNdz7ZE28X87zjkkUcmFtci/e19zIfVmhSVacksyQcBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc15aa64a5752f8e51e8242a43dfb1700f09725b9db2a38855bcc5199a318355","last_reissued_at":"2026-05-18T00:21:51.365110Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:51.365110Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the H\\\"older continuous subsolution problem for the complex Monge-Amp\\`ere equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Ngoc Cuong Nguyen","submitted_at":"2017-03-05T03:00:21Z","abstract_excerpt":"We give a necessary and sufficient condition for positive Borel measures such that the Dirichlet problem, with zero boundary data, for the complex Monge-Amp\\`ere equation admits H\\\"older continuous plurisubharmonic solutions. In particular, when the subsolution has finite Monge-Amp\\`ere total mass, we obtain an affirmative answer to a question of Zeriahi."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.01549","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":"1703.01549","created_at":"2026-05-18T00:21:51.365233+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.01549v1","created_at":"2026-05-18T00:21:51.365233+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.01549","created_at":"2026-05-18T00:21:51.365233+00:00"},{"alias_kind":"pith_short_12","alias_value":"7QK2UZFFOUXY","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_16","alias_value":"7QK2UZFFOUXY4UPI","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_8","alias_value":"7QK2UZFF","created_at":"2026-05-18T12:31:05.417338+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/7QK2UZFFOUXY4UPIEQVEHX5ROA","json":"https://pith.science/pith/7QK2UZFFOUXY4UPIEQVEHX5ROA.json","graph_json":"https://pith.science/api/pith-number/7QK2UZFFOUXY4UPIEQVEHX5ROA/graph.json","events_json":"https://pith.science/api/pith-number/7QK2UZFFOUXY4UPIEQVEHX5ROA/events.json","paper":"https://pith.science/paper/7QK2UZFF"},"agent_actions":{"view_html":"https://pith.science/pith/7QK2UZFFOUXY4UPIEQVEHX5ROA","download_json":"https://pith.science/pith/7QK2UZFFOUXY4UPIEQVEHX5ROA.json","view_paper":"https://pith.science/paper/7QK2UZFF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.01549&json=true","fetch_graph":"https://pith.science/api/pith-number/7QK2UZFFOUXY4UPIEQVEHX5ROA/graph.json","fetch_events":"https://pith.science/api/pith-number/7QK2UZFFOUXY4UPIEQVEHX5ROA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7QK2UZFFOUXY4UPIEQVEHX5ROA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7QK2UZFFOUXY4UPIEQVEHX5ROA/action/storage_attestation","attest_author":"https://pith.science/pith/7QK2UZFFOUXY4UPIEQVEHX5ROA/action/author_attestation","sign_citation":"https://pith.science/pith/7QK2UZFFOUXY4UPIEQVEHX5ROA/action/citation_signature","submit_replication":"https://pith.science/pith/7QK2UZFFOUXY4UPIEQVEHX5ROA/action/replication_record"}},"created_at":"2026-05-18T00:21:51.365233+00:00","updated_at":"2026-05-18T00:21:51.365233+00:00"}