{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:IBODVBWKYPAZUOORAZZ4UXNIQV","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"720da49a06aad5f627098bf2f06f1f6bee203256fecc8879701ac6b23ac4b8f6","cross_cats_sorted":["math.AP","nlin.SI","solv-int"],"license":"","primary_cat":"hep-th","submitted_at":"1994-03-22T16:59:09Z","title_canon_sha256":"62baa8c20bbbde226d3e7d0c4038401f6f78d333b9bc6bfd270c31b88de9a191"},"schema_version":"1.0","source":{"id":"hep-th/9403134","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9403134","created_at":"2026-05-18T01:06:04Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9403134v1","created_at":"2026-05-18T01:06:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9403134","created_at":"2026-05-18T01:06:04Z"},{"alias_kind":"pith_short_12","alias_value":"IBODVBWKYPAZ","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"IBODVBWKYPAZUOOR","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"IBODVBWK","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:88aa87ebd6d7a43fa2f16462aa3d44883463730296a46b129d94ce6fd6b52aef","target":"graph","created_at":"2026-05-18T01:06:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"It is shown that the general solution of a homogeneous Monge-Amp\\`{e}re equation in $n$-dimensional space is closely connected with the exactly (but only implicitly) integrable system\n  \\frac {\\partial \\xi_{j}}{\\partial x_0}+\\sum_{k=1}^{n-1} \\xi_{k} \\frac {\\partial \\xi_{j}}{\\partial x_{k}}=0 \\label{1}\n  Using the explicit form of solution of this system it is possible to construct the general solution of the Monge-Amp\\`{e}re equation.","authors_text":"A. N. Leznov, D. B. Fairlie","cross_cats":["math.AP","nlin.SI","solv-int"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1994-03-22T16:59:09Z","title":"General solutions of the Monge-Amp\\`{e}re equation in $n$-dimensional space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9403134","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:9af4dcd38e4c2003af1f5ceec0c638eebb25624a6bb0b17754cc4a3d1f21676f","target":"record","created_at":"2026-05-18T01:06:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"720da49a06aad5f627098bf2f06f1f6bee203256fecc8879701ac6b23ac4b8f6","cross_cats_sorted":["math.AP","nlin.SI","solv-int"],"license":"","primary_cat":"hep-th","submitted_at":"1994-03-22T16:59:09Z","title_canon_sha256":"62baa8c20bbbde226d3e7d0c4038401f6f78d333b9bc6bfd270c31b88de9a191"},"schema_version":"1.0","source":{"id":"hep-th/9403134","kind":"arxiv","version":1}},"canonical_sha256":"405c3a86cac3c19a39d10673ca5da8855cdcb288ef8bcd131dd59b6a20c85cbd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"405c3a86cac3c19a39d10673ca5da8855cdcb288ef8bcd131dd59b6a20c85cbd","first_computed_at":"2026-05-18T01:06:04.602175Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:04.602175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h0dZrjyetuX2KgtPunG+yUheZi6D7NB4jj3EAVPO3DrjxV2WH9BTgHmA+sJw2zTDyr4WwtYJD/0oY/azn4H3AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:04.602916Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9403134","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9af4dcd38e4c2003af1f5ceec0c638eebb25624a6bb0b17754cc4a3d1f21676f","sha256:88aa87ebd6d7a43fa2f16462aa3d44883463730296a46b129d94ce6fd6b52aef"],"state_sha256":"9ea48862350ffa88ef66bc959059658afeb37e8d4e8761c028c7560dc55cc2b7"}