{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:ZT2Z63U5RWQZW6DRX3SHOUMDV3","short_pith_number":"pith:ZT2Z63U5","schema_version":"1.0","canonical_sha256":"ccf59f6e9d8da19b7871bee4775183aed135d9e2a6e2670e640bae136f4ad834","source":{"kind":"arxiv","id":"1204.1788","version":1},"attestation_state":"computed","paper":{"title":"An obstacle problem for a class of Monge-Amp\\`ere type functionals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Bin Zhou, Jiakun Liu","submitted_at":"2012-04-09T03:30:54Z","abstract_excerpt":"In this paper we study an obstacle problem for Monge-Amp\\`ere type functionals, whose Euler-Lagrange equations are a class of fourth order equations, including the affine maximal surface equations and Abreu's equation."},"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":"1204.1788","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-04-09T03:30:54Z","cross_cats_sorted":[],"title_canon_sha256":"041a924ecaf8bc6b978d1f46bc549a001b0acd850685d863571b3eb40c033bd8","abstract_canon_sha256":"93fc21b50afda77b4a9a69b928b8ac5f7ac19e08977482b444c47c80dc9eda0f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:15.192005Z","signature_b64":"7GVPiZl+qUoAqNsMWiHC8+3Wn9insKslOGDQTzdhWZNbCDQbyfSQu+s4DhOkbX9FL3favcHlpLfZ4G5mG+LXAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ccf59f6e9d8da19b7871bee4775183aed135d9e2a6e2670e640bae136f4ad834","last_reissued_at":"2026-05-18T03:58:15.191200Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:15.191200Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An obstacle problem for a class of Monge-Amp\\`ere type functionals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Bin Zhou, Jiakun Liu","submitted_at":"2012-04-09T03:30:54Z","abstract_excerpt":"In this paper we study an obstacle problem for Monge-Amp\\`ere type functionals, whose Euler-Lagrange equations are a class of fourth order equations, including the affine maximal surface equations and Abreu's equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1788","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":"1204.1788","created_at":"2026-05-18T03:58:15.191335+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.1788v1","created_at":"2026-05-18T03:58:15.191335+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1788","created_at":"2026-05-18T03:58:15.191335+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZT2Z63U5RWQZ","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZT2Z63U5RWQZW6DR","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZT2Z63U5","created_at":"2026-05-18T12:27:30.460161+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/ZT2Z63U5RWQZW6DRX3SHOUMDV3","json":"https://pith.science/pith/ZT2Z63U5RWQZW6DRX3SHOUMDV3.json","graph_json":"https://pith.science/api/pith-number/ZT2Z63U5RWQZW6DRX3SHOUMDV3/graph.json","events_json":"https://pith.science/api/pith-number/ZT2Z63U5RWQZW6DRX3SHOUMDV3/events.json","paper":"https://pith.science/paper/ZT2Z63U5"},"agent_actions":{"view_html":"https://pith.science/pith/ZT2Z63U5RWQZW6DRX3SHOUMDV3","download_json":"https://pith.science/pith/ZT2Z63U5RWQZW6DRX3SHOUMDV3.json","view_paper":"https://pith.science/paper/ZT2Z63U5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.1788&json=true","fetch_graph":"https://pith.science/api/pith-number/ZT2Z63U5RWQZW6DRX3SHOUMDV3/graph.json","fetch_events":"https://pith.science/api/pith-number/ZT2Z63U5RWQZW6DRX3SHOUMDV3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZT2Z63U5RWQZW6DRX3SHOUMDV3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZT2Z63U5RWQZW6DRX3SHOUMDV3/action/storage_attestation","attest_author":"https://pith.science/pith/ZT2Z63U5RWQZW6DRX3SHOUMDV3/action/author_attestation","sign_citation":"https://pith.science/pith/ZT2Z63U5RWQZW6DRX3SHOUMDV3/action/citation_signature","submit_replication":"https://pith.science/pith/ZT2Z63U5RWQZW6DRX3SHOUMDV3/action/replication_record"}},"created_at":"2026-05-18T03:58:15.191335+00:00","updated_at":"2026-05-18T03:58:15.191335+00:00"}