{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:RGIPHVW3PXHJBPXHPQXN6H6U62","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":"cb7340ef0bac6ad269c6c6d2cc323a08a63b68a6c7f777e555475e3ad5a3daa4","cross_cats_sorted":["math.AP","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-12-03T14:48:32Z","title_canon_sha256":"fb1948b94101b0258f42b06931a908079aa4302bdf801ac119ef55aae8128ae4"},"schema_version":"1.0","source":{"id":"1712.01692","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.01692","created_at":"2026-05-18T00:28:47Z"},{"alias_kind":"arxiv_version","alias_value":"1712.01692v1","created_at":"2026-05-18T00:28:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.01692","created_at":"2026-05-18T00:28:47Z"},{"alias_kind":"pith_short_12","alias_value":"RGIPHVW3PXHJ","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"RGIPHVW3PXHJBPXH","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"RGIPHVW3","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:f38c10e3df0deb3e2c6460945daf774f9db107337485e9ee3ff39ded7dca1e8a","target":"graph","created_at":"2026-05-18T00:28:47Z","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":"The aim of this expository article is to reveal the equivalence of J\\\"orgens' Theorem on the two dimensional unimodular Hessian equation and Fu's Theorem on the two dimensional special Lagrangian equation.","authors_text":"Hojoo Lee","cross_cats":["math.AP","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-12-03T14:48:32Z","title":"A one-sentence proof of the Bernstein type theorem for special Lagrangian equation in two dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.01692","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":"sha256:45996825a1d3358e2270b80ac31d327a94b60dfc8c78de8452d7404b9db47212","target":"record","created_at":"2026-05-18T00:28:47Z","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":"cb7340ef0bac6ad269c6c6d2cc323a08a63b68a6c7f777e555475e3ad5a3daa4","cross_cats_sorted":["math.AP","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-12-03T14:48:32Z","title_canon_sha256":"fb1948b94101b0258f42b06931a908079aa4302bdf801ac119ef55aae8128ae4"},"schema_version":"1.0","source":{"id":"1712.01692","kind":"arxiv","version":1}},"canonical_sha256":"8990f3d6db7dce90bee77c2edf1fd4f6a0248af75708c0b6f8947231417c91b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8990f3d6db7dce90bee77c2edf1fd4f6a0248af75708c0b6f8947231417c91b6","first_computed_at":"2026-05-18T00:28:47.875071Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:47.875071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+YnY7qTQWoA7K3esDfSEjqw1QRVQXU3rhZVDQ6DC3dbH/gkCq2SQ/XEC9uj9zA6k7qxuU2YPLJmFp48ZGqj1BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:47.875553Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.01692","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:45996825a1d3358e2270b80ac31d327a94b60dfc8c78de8452d7404b9db47212","sha256:f38c10e3df0deb3e2c6460945daf774f9db107337485e9ee3ff39ded7dca1e8a"],"state_sha256":"3551bc868f2e472f39e15163649d3d3434537fb77e11ae1716f9e9ae664b36b1"}