{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:MQGRY6M3QDGRX2MQBCG4663NTI","short_pith_number":"pith:MQGRY6M3","schema_version":"1.0","canonical_sha256":"640d1c799b80cd1be990088dcf7b6d9a1e3b26a637ed9ea2772863e2f6ae887e","source":{"kind":"arxiv","id":"1007.3013","version":2},"attestation_state":"computed","paper":{"title":"Convex Solutions of systems of Monge-Amp\\`ere equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.AP","authors_text":"Haiyan Wang","submitted_at":"2010-07-18T15:42:58Z","abstract_excerpt":"The existence and multiplicity and nonexistence of nontrivial radial convex solutions of systems of Monge-Amp\\`ere equations are established with superlinearity or sublinearity assumptions for an appropriately chosen parameter. The proof of the results is based on a fixed point theorem in a cone."},"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":"1007.3013","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-07-18T15:42:58Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"bd307bc166e9265e69bebeddaa91a53a64b1e05ab9d7384124006a1188d660a9","abstract_canon_sha256":"47013deb88ca9557100130ce8c2999a834d3313b430a507219054772be5d662b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:39:28.599223Z","signature_b64":"qK/pAOwIpueaM/hrPwY5EvFaI6aNAxZccon8oGO5dfEZzyXXS9om89JB+1McEhYcnw41bXtg0240rZtPSmK7CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"640d1c799b80cd1be990088dcf7b6d9a1e3b26a637ed9ea2772863e2f6ae887e","last_reissued_at":"2026-05-18T04:39:28.598734Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:39:28.598734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Convex Solutions of systems of Monge-Amp\\`ere equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.AP","authors_text":"Haiyan Wang","submitted_at":"2010-07-18T15:42:58Z","abstract_excerpt":"The existence and multiplicity and nonexistence of nontrivial radial convex solutions of systems of Monge-Amp\\`ere equations are established with superlinearity or sublinearity assumptions for an appropriately chosen parameter. The proof of the results is based on a fixed point theorem in a cone."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.3013","kind":"arxiv","version":2},"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":"1007.3013","created_at":"2026-05-18T04:39:28.598804+00:00"},{"alias_kind":"arxiv_version","alias_value":"1007.3013v2","created_at":"2026-05-18T04:39:28.598804+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.3013","created_at":"2026-05-18T04:39:28.598804+00:00"},{"alias_kind":"pith_short_12","alias_value":"MQGRY6M3QDGR","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_16","alias_value":"MQGRY6M3QDGRX2MQ","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_8","alias_value":"MQGRY6M3","created_at":"2026-05-18T12:26:10.704358+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/MQGRY6M3QDGRX2MQBCG4663NTI","json":"https://pith.science/pith/MQGRY6M3QDGRX2MQBCG4663NTI.json","graph_json":"https://pith.science/api/pith-number/MQGRY6M3QDGRX2MQBCG4663NTI/graph.json","events_json":"https://pith.science/api/pith-number/MQGRY6M3QDGRX2MQBCG4663NTI/events.json","paper":"https://pith.science/paper/MQGRY6M3"},"agent_actions":{"view_html":"https://pith.science/pith/MQGRY6M3QDGRX2MQBCG4663NTI","download_json":"https://pith.science/pith/MQGRY6M3QDGRX2MQBCG4663NTI.json","view_paper":"https://pith.science/paper/MQGRY6M3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1007.3013&json=true","fetch_graph":"https://pith.science/api/pith-number/MQGRY6M3QDGRX2MQBCG4663NTI/graph.json","fetch_events":"https://pith.science/api/pith-number/MQGRY6M3QDGRX2MQBCG4663NTI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MQGRY6M3QDGRX2MQBCG4663NTI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MQGRY6M3QDGRX2MQBCG4663NTI/action/storage_attestation","attest_author":"https://pith.science/pith/MQGRY6M3QDGRX2MQBCG4663NTI/action/author_attestation","sign_citation":"https://pith.science/pith/MQGRY6M3QDGRX2MQBCG4663NTI/action/citation_signature","submit_replication":"https://pith.science/pith/MQGRY6M3QDGRX2MQBCG4663NTI/action/replication_record"}},"created_at":"2026-05-18T04:39:28.598804+00:00","updated_at":"2026-05-18T04:39:28.598804+00:00"}