{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:YG5ZPOTWO4PDFIXU77HF7O2DDZ","short_pith_number":"pith:YG5ZPOTW","schema_version":"1.0","canonical_sha256":"c1bb97ba76771e32a2f4ffce5fbb431e5f4dddf7644d10152fdd3d5ec9505069","source":{"kind":"arxiv","id":"1402.2497","version":1},"attestation_state":"computed","paper":{"title":"Generalized Monge-Amp\\`ere capacities","license":"http://creativecommons.org/licenses/publicdomain/","headline":"","cross_cats":["math.AP","math.DG"],"primary_cat":"math.CV","authors_text":"Chinh H. Lu, Eleonora Di Nezza","submitted_at":"2014-02-11T14:21:10Z","abstract_excerpt":"We study various capacities on compact K\\\"{a}hler manifolds which generalize the Bedford-Taylor Monge-Amp\\`ere capacity. We then use these capacities to study the existence and the regularity of solutions of complex Monge-Amp\\`ere equations."},"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":"1402.2497","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"math.CV","submitted_at":"2014-02-11T14:21:10Z","cross_cats_sorted":["math.AP","math.DG"],"title_canon_sha256":"773b7161dd2ebb2b475940ff6fff82bf9ebe01369d0d4a18cf0073ebd137f82d","abstract_canon_sha256":"f24ea239c482c43028871c7a58b4bb7eafa7d85446d345a85bd95a56227624be"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:19.575332Z","signature_b64":"L/Ig2BP5d9ivUtolg+xGaG5LbrLEXc2nq4TQjQ4GvHbGQxtpKVw50+GPJGIPgoSvvCN9elQjSRp36I1DAt/1AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c1bb97ba76771e32a2f4ffce5fbb431e5f4dddf7644d10152fdd3d5ec9505069","last_reissued_at":"2026-05-18T02:59:19.574520Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:19.574520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized Monge-Amp\\`ere capacities","license":"http://creativecommons.org/licenses/publicdomain/","headline":"","cross_cats":["math.AP","math.DG"],"primary_cat":"math.CV","authors_text":"Chinh H. Lu, Eleonora Di Nezza","submitted_at":"2014-02-11T14:21:10Z","abstract_excerpt":"We study various capacities on compact K\\\"{a}hler manifolds which generalize the Bedford-Taylor Monge-Amp\\`ere capacity. We then use these capacities to study the existence and the regularity of solutions of complex Monge-Amp\\`ere equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.2497","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":"1402.2497","created_at":"2026-05-18T02:59:19.574645+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.2497v1","created_at":"2026-05-18T02:59:19.574645+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.2497","created_at":"2026-05-18T02:59:19.574645+00:00"},{"alias_kind":"pith_short_12","alias_value":"YG5ZPOTWO4PD","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_16","alias_value":"YG5ZPOTWO4PDFIXU","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_8","alias_value":"YG5ZPOTW","created_at":"2026-05-18T12:28:57.508820+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/YG5ZPOTWO4PDFIXU77HF7O2DDZ","json":"https://pith.science/pith/YG5ZPOTWO4PDFIXU77HF7O2DDZ.json","graph_json":"https://pith.science/api/pith-number/YG5ZPOTWO4PDFIXU77HF7O2DDZ/graph.json","events_json":"https://pith.science/api/pith-number/YG5ZPOTWO4PDFIXU77HF7O2DDZ/events.json","paper":"https://pith.science/paper/YG5ZPOTW"},"agent_actions":{"view_html":"https://pith.science/pith/YG5ZPOTWO4PDFIXU77HF7O2DDZ","download_json":"https://pith.science/pith/YG5ZPOTWO4PDFIXU77HF7O2DDZ.json","view_paper":"https://pith.science/paper/YG5ZPOTW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.2497&json=true","fetch_graph":"https://pith.science/api/pith-number/YG5ZPOTWO4PDFIXU77HF7O2DDZ/graph.json","fetch_events":"https://pith.science/api/pith-number/YG5ZPOTWO4PDFIXU77HF7O2DDZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YG5ZPOTWO4PDFIXU77HF7O2DDZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YG5ZPOTWO4PDFIXU77HF7O2DDZ/action/storage_attestation","attest_author":"https://pith.science/pith/YG5ZPOTWO4PDFIXU77HF7O2DDZ/action/author_attestation","sign_citation":"https://pith.science/pith/YG5ZPOTWO4PDFIXU77HF7O2DDZ/action/citation_signature","submit_replication":"https://pith.science/pith/YG5ZPOTWO4PDFIXU77HF7O2DDZ/action/replication_record"}},"created_at":"2026-05-18T02:59:19.574645+00:00","updated_at":"2026-05-18T02:59:19.574645+00:00"}