{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ZYLVXQ5ELHW3R6FCYA66S43THP","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":"2c83dbd70c78031631d3fe9b0e0eafa5853145d1a4cf198c7a9f20797f40b796","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-12-12T06:18:52Z","title_canon_sha256":"29c5eee42e663b64c8c7ed64c5d9aab3a3b33af03cf27e3495242445519a4713"},"schema_version":"1.0","source":{"id":"1112.2453","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.2453","created_at":"2026-05-18T04:06:34Z"},{"alias_kind":"arxiv_version","alias_value":"1112.2453v1","created_at":"2026-05-18T04:06:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.2453","created_at":"2026-05-18T04:06:34Z"},{"alias_kind":"pith_short_12","alias_value":"ZYLVXQ5ELHW3","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"ZYLVXQ5ELHW3R6FC","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"ZYLVXQ5E","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:2ffc9a1069b1c0ba52adae0644a21ae89d2511447ef0ed3e96f5d68ec5938861","target":"graph","created_at":"2026-05-18T04:06:34Z","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":"By the integral method we prove that any space-like entire graphic self-shrinking solution to Lagrangian mean curvature flow in $\\R^{2n}_{n}$ with the indefinite metric $\\sum_i dx_idy_i$ is flat. This result improves the previous ones in \\cite{HW} and \\cite{CCY} by removing the additional assumption in their results. In a similar manner, we reprove its Euclidean counterpart which is established in \\cite{CCY}.","authors_text":"Qi Ding, Y. L. Xin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-12-12T06:18:52Z","title":"The rigidity theorems for Lagrangian self shrinkers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2453","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":"sha256:232c846fd98bef05dc933e8d6a34a2b4e37a31d4060dfb1803b6a5a0f6483246","target":"record","created_at":"2026-05-18T04:06:34Z","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":"2c83dbd70c78031631d3fe9b0e0eafa5853145d1a4cf198c7a9f20797f40b796","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-12-12T06:18:52Z","title_canon_sha256":"29c5eee42e663b64c8c7ed64c5d9aab3a3b33af03cf27e3495242445519a4713"},"schema_version":"1.0","source":{"id":"1112.2453","kind":"arxiv","version":1}},"canonical_sha256":"ce175bc3a459edb8f8a2c03de973733bd878e11fd29561c7245e5475f3a5a119","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce175bc3a459edb8f8a2c03de973733bd878e11fd29561c7245e5475f3a5a119","first_computed_at":"2026-05-18T04:06:34.353058Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:06:34.353058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/c8Cac6ZSTI56VMaY0RHKgXxaADoj9l1TrbZesI+8H4ZwhNlvoIo8/saM+P7pWst1hqaA4Yrdo+rCBYMqdB8BA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:06:34.353858Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.2453","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:232c846fd98bef05dc933e8d6a34a2b4e37a31d4060dfb1803b6a5a0f6483246","sha256:2ffc9a1069b1c0ba52adae0644a21ae89d2511447ef0ed3e96f5d68ec5938861"],"state_sha256":"924afd3b4d9b4393cf71d3028805bbb6835006a1776c28d09a75624512476f37"}