{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:4NW6YYPCGN4ZT6BBRPMHNOMRKC","short_pith_number":"pith:4NW6YYPC","schema_version":"1.0","canonical_sha256":"e36dec61e2337999f8218bd876b99150884c978fbd0b76806e94913d422d424e","source":{"kind":"arxiv","id":"1811.12448","version":1},"attestation_state":"computed","paper":{"title":"On estimates for fully nonlinear elliptic equations with Neumann boundary conditions on Riemannian Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AP","authors_text":"Bo Guan, Ni Xiang","submitted_at":"2018-11-29T19:39:36Z","abstract_excerpt":"We derive gradient and second order {\\em a priori} estimates for solutions of the Neumann problem for a general class of fully nonlinear elliptic equations on compact Riemannian manifolds with boundary. These estimates yield regularity and existence results."},"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":"1811.12448","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-29T19:39:36Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"b30c769abb9e7db7fada7a3107c7518b36408cfa60cc5f069106a1a53fe47314","abstract_canon_sha256":"022979370a21376fe7fdac6dcac239ed2feba8c555185356a0383d37dec0857a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:31.647338Z","signature_b64":"qzhMocsVWEdZonz/cj8HHKRyH0wFSPrgw94p0AGJdyASyMve8B7cgSGxrgE3/JY4wbeI50fiddS2qLCGRAMTBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e36dec61e2337999f8218bd876b99150884c978fbd0b76806e94913d422d424e","last_reissued_at":"2026-05-17T23:59:31.646734Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:31.646734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On estimates for fully nonlinear elliptic equations with Neumann boundary conditions on Riemannian Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AP","authors_text":"Bo Guan, Ni Xiang","submitted_at":"2018-11-29T19:39:36Z","abstract_excerpt":"We derive gradient and second order {\\em a priori} estimates for solutions of the Neumann problem for a general class of fully nonlinear elliptic equations on compact Riemannian manifolds with boundary. These estimates yield regularity and existence results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.12448","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":"1811.12448","created_at":"2026-05-17T23:59:31.646813+00:00"},{"alias_kind":"arxiv_version","alias_value":"1811.12448v1","created_at":"2026-05-17T23:59:31.646813+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.12448","created_at":"2026-05-17T23:59:31.646813+00:00"},{"alias_kind":"pith_short_12","alias_value":"4NW6YYPCGN4Z","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_16","alias_value":"4NW6YYPCGN4ZT6BB","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_8","alias_value":"4NW6YYPC","created_at":"2026-05-18T12:32:05.422762+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/4NW6YYPCGN4ZT6BBRPMHNOMRKC","json":"https://pith.science/pith/4NW6YYPCGN4ZT6BBRPMHNOMRKC.json","graph_json":"https://pith.science/api/pith-number/4NW6YYPCGN4ZT6BBRPMHNOMRKC/graph.json","events_json":"https://pith.science/api/pith-number/4NW6YYPCGN4ZT6BBRPMHNOMRKC/events.json","paper":"https://pith.science/paper/4NW6YYPC"},"agent_actions":{"view_html":"https://pith.science/pith/4NW6YYPCGN4ZT6BBRPMHNOMRKC","download_json":"https://pith.science/pith/4NW6YYPCGN4ZT6BBRPMHNOMRKC.json","view_paper":"https://pith.science/paper/4NW6YYPC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1811.12448&json=true","fetch_graph":"https://pith.science/api/pith-number/4NW6YYPCGN4ZT6BBRPMHNOMRKC/graph.json","fetch_events":"https://pith.science/api/pith-number/4NW6YYPCGN4ZT6BBRPMHNOMRKC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4NW6YYPCGN4ZT6BBRPMHNOMRKC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4NW6YYPCGN4ZT6BBRPMHNOMRKC/action/storage_attestation","attest_author":"https://pith.science/pith/4NW6YYPCGN4ZT6BBRPMHNOMRKC/action/author_attestation","sign_citation":"https://pith.science/pith/4NW6YYPCGN4ZT6BBRPMHNOMRKC/action/citation_signature","submit_replication":"https://pith.science/pith/4NW6YYPCGN4ZT6BBRPMHNOMRKC/action/replication_record"}},"created_at":"2026-05-17T23:59:31.646813+00:00","updated_at":"2026-05-17T23:59:31.646813+00:00"}