{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:UUNRIXGDBDJLYJZBLXXLSVS7P5","short_pith_number":"pith:UUNRIXGD","schema_version":"1.0","canonical_sha256":"a51b145cc308d2bc27215deeb9565f7f5f709f289fed56b4578a6c872318e1b5","source":{"kind":"arxiv","id":"1805.05028","version":1},"attestation_state":"computed","paper":{"title":"On the Monge-Amp\\`ere equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Alessio Figalli","submitted_at":"2018-05-14T07:06:58Z","abstract_excerpt":"This text contains the material discussed by the author in the Bourbaki seminar of June 2018, on the recent developments in the theory of the Monge-Amp\\`ere 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":"1805.05028","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-14T07:06:58Z","cross_cats_sorted":[],"title_canon_sha256":"5ae801902d2f5ef131b60dd1b24f77ace4afbbf6178226da8503a7a575ca3184","abstract_canon_sha256":"9c0b053a0172e12a3da5f255cdff746bb0393d5fef9f48f6df86d4f7cb4aa069"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:04.029485Z","signature_b64":"h5JILn70OqN6Wnf+9kThYcdIJ+RTn5Ue+dxvdnzk5FJoAmSzA0hiWzt8moCdZ/sb/i+nkds7NHznAxjCZp/pCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a51b145cc308d2bc27215deeb9565f7f5f709f289fed56b4578a6c872318e1b5","last_reissued_at":"2026-05-18T00:16:04.029057Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:04.029057Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Monge-Amp\\`ere equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Alessio Figalli","submitted_at":"2018-05-14T07:06:58Z","abstract_excerpt":"This text contains the material discussed by the author in the Bourbaki seminar of June 2018, on the recent developments in the theory of the Monge-Amp\\`ere equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.05028","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":"1805.05028","created_at":"2026-05-18T00:16:04.029128+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.05028v1","created_at":"2026-05-18T00:16:04.029128+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.05028","created_at":"2026-05-18T00:16:04.029128+00:00"},{"alias_kind":"pith_short_12","alias_value":"UUNRIXGDBDJL","created_at":"2026-05-18T12:32:56.356000+00:00"},{"alias_kind":"pith_short_16","alias_value":"UUNRIXGDBDJLYJZB","created_at":"2026-05-18T12:32:56.356000+00:00"},{"alias_kind":"pith_short_8","alias_value":"UUNRIXGD","created_at":"2026-05-18T12:32:56.356000+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/UUNRIXGDBDJLYJZBLXXLSVS7P5","json":"https://pith.science/pith/UUNRIXGDBDJLYJZBLXXLSVS7P5.json","graph_json":"https://pith.science/api/pith-number/UUNRIXGDBDJLYJZBLXXLSVS7P5/graph.json","events_json":"https://pith.science/api/pith-number/UUNRIXGDBDJLYJZBLXXLSVS7P5/events.json","paper":"https://pith.science/paper/UUNRIXGD"},"agent_actions":{"view_html":"https://pith.science/pith/UUNRIXGDBDJLYJZBLXXLSVS7P5","download_json":"https://pith.science/pith/UUNRIXGDBDJLYJZBLXXLSVS7P5.json","view_paper":"https://pith.science/paper/UUNRIXGD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.05028&json=true","fetch_graph":"https://pith.science/api/pith-number/UUNRIXGDBDJLYJZBLXXLSVS7P5/graph.json","fetch_events":"https://pith.science/api/pith-number/UUNRIXGDBDJLYJZBLXXLSVS7P5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UUNRIXGDBDJLYJZBLXXLSVS7P5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UUNRIXGDBDJLYJZBLXXLSVS7P5/action/storage_attestation","attest_author":"https://pith.science/pith/UUNRIXGDBDJLYJZBLXXLSVS7P5/action/author_attestation","sign_citation":"https://pith.science/pith/UUNRIXGDBDJLYJZBLXXLSVS7P5/action/citation_signature","submit_replication":"https://pith.science/pith/UUNRIXGDBDJLYJZBLXXLSVS7P5/action/replication_record"}},"created_at":"2026-05-18T00:16:04.029128+00:00","updated_at":"2026-05-18T00:16:04.029128+00:00"}