{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:2Y7GXEYYCZIFPEVSMEG3Q3ELOG","short_pith_number":"pith:2Y7GXEYY","schema_version":"1.0","canonical_sha256":"d63e6b931816505792b2610db86c8b71861d5aeb0d498450ea39da62d350db9e","source":{"kind":"arxiv","id":"1511.08935","version":3},"attestation_state":"computed","paper":{"title":"Oblique boundary value problems for augmented Hessian equations I","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Feida Jiang, Neil S. Trudinger","submitted_at":"2015-11-28T21:46:08Z","abstract_excerpt":"In this paper, we study global regularity for oblique boundary value problems of augmented Hessian equations for a class of general operators. By assuming a natural convexity condition of the domain together with appropriate convexity conditions on the matrix function in the augmented Hessian, we develop a global theory for classical elliptic solutions by establishing global a priori derivative estimates up to second order. Besides the known applications for Monge-Amp`ere type operators in optimal transportation and geometric optics, the general theory here embraces prescribed mean curvature p"},"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":"1511.08935","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-28T21:46:08Z","cross_cats_sorted":[],"title_canon_sha256":"33753ba437ec1cd20a1d8dab02a34b318581209741201ad75fe47e2a34f91d16","abstract_canon_sha256":"49eeed7cc273246b86efc694690fb486bae72072bdbcdb5ce9125b0bbd2461b0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:19.100845Z","signature_b64":"6s6nHJ3g5H9N+xdk9snm46L20kPr0hAf1/Ue+t/BFS616vr9j4FBs6xbIM0qhfs2kMx3pVjzhVHfrWTakFNDAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d63e6b931816505792b2610db86c8b71861d5aeb0d498450ea39da62d350db9e","last_reissued_at":"2026-05-18T00:28:19.100096Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:19.100096Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Oblique boundary value problems for augmented Hessian equations I","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Feida Jiang, Neil S. Trudinger","submitted_at":"2015-11-28T21:46:08Z","abstract_excerpt":"In this paper, we study global regularity for oblique boundary value problems of augmented Hessian equations for a class of general operators. By assuming a natural convexity condition of the domain together with appropriate convexity conditions on the matrix function in the augmented Hessian, we develop a global theory for classical elliptic solutions by establishing global a priori derivative estimates up to second order. Besides the known applications for Monge-Amp`ere type operators in optimal transportation and geometric optics, the general theory here embraces prescribed mean curvature p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.08935","kind":"arxiv","version":3},"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":"1511.08935","created_at":"2026-05-18T00:28:19.100225+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.08935v3","created_at":"2026-05-18T00:28:19.100225+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.08935","created_at":"2026-05-18T00:28:19.100225+00:00"},{"alias_kind":"pith_short_12","alias_value":"2Y7GXEYYCZIF","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"2Y7GXEYYCZIFPEVS","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"2Y7GXEYY","created_at":"2026-05-18T12:29:02.477457+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/2Y7GXEYYCZIFPEVSMEG3Q3ELOG","json":"https://pith.science/pith/2Y7GXEYYCZIFPEVSMEG3Q3ELOG.json","graph_json":"https://pith.science/api/pith-number/2Y7GXEYYCZIFPEVSMEG3Q3ELOG/graph.json","events_json":"https://pith.science/api/pith-number/2Y7GXEYYCZIFPEVSMEG3Q3ELOG/events.json","paper":"https://pith.science/paper/2Y7GXEYY"},"agent_actions":{"view_html":"https://pith.science/pith/2Y7GXEYYCZIFPEVSMEG3Q3ELOG","download_json":"https://pith.science/pith/2Y7GXEYYCZIFPEVSMEG3Q3ELOG.json","view_paper":"https://pith.science/paper/2Y7GXEYY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.08935&json=true","fetch_graph":"https://pith.science/api/pith-number/2Y7GXEYYCZIFPEVSMEG3Q3ELOG/graph.json","fetch_events":"https://pith.science/api/pith-number/2Y7GXEYYCZIFPEVSMEG3Q3ELOG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2Y7GXEYYCZIFPEVSMEG3Q3ELOG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2Y7GXEYYCZIFPEVSMEG3Q3ELOG/action/storage_attestation","attest_author":"https://pith.science/pith/2Y7GXEYYCZIFPEVSMEG3Q3ELOG/action/author_attestation","sign_citation":"https://pith.science/pith/2Y7GXEYYCZIFPEVSMEG3Q3ELOG/action/citation_signature","submit_replication":"https://pith.science/pith/2Y7GXEYYCZIFPEVSMEG3Q3ELOG/action/replication_record"}},"created_at":"2026-05-18T00:28:19.100225+00:00","updated_at":"2026-05-18T00:28:19.100225+00:00"}