{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:4D26YDCLY7IVTAXJ4OU54VDSMU","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":"b720b7fab590d92dbc8cdbd5358b1e9e89982e8a9c8ae0aed2911a169fec78b4","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-01-10T18:37:14Z","title_canon_sha256":"fe6eb689b0f5ef4a8443341b888d8f3f6f94da304be739e850ca1abe8393fb91"},"schema_version":"1.0","source":{"id":"1901.03316","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.03316","created_at":"2026-05-17T23:56:34Z"},{"alias_kind":"arxiv_version","alias_value":"1901.03316v1","created_at":"2026-05-17T23:56:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.03316","created_at":"2026-05-17T23:56:34Z"},{"alias_kind":"pith_short_12","alias_value":"4D26YDCLY7IV","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"4D26YDCLY7IVTAXJ","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"4D26YDCL","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:63951a0ac73ae990a15c4b011f48967c5bb048d41cfc979866331904b1bf659d","target":"graph","created_at":"2026-05-17T23:56:34Z","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":"For a sequence of immersed connected closed Hamiltonian stationary Lagrangian submaniolds in $\\mathbb{C}^{n}$ with uniform bounds on their volumes and the total extrinsic curvatures, we prove that a subsequence converges either to a point or to a Hamiltonian stationary Lagrangian $n$-varifold locally uniformly in $C^{k}$ for any nonnegative integer $k$ away from a finite set of points, and the limit is Hamiltonian stationary in ${\\mathbb{C}}^{n}$. We also obtain a theorem on extending Hamiltonian stationary Lagrangian submanifolds $L$ across a compact set $N$ of Hausdorff codimension at least ","authors_text":"Jingyi Chen, Micah Warren","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-01-10T18:37:14Z","title":"Compactification of the space of Hamiltonian stationary Lagrangian submanifolds with bounded total extrinsic curvature and volume"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.03316","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":"sha256:317fba1a41fbf383eed2fb1ac0dc2de4189adce610011c5f3b5a7240765741a0","target":"record","created_at":"2026-05-17T23:56:34Z","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":"b720b7fab590d92dbc8cdbd5358b1e9e89982e8a9c8ae0aed2911a169fec78b4","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-01-10T18:37:14Z","title_canon_sha256":"fe6eb689b0f5ef4a8443341b888d8f3f6f94da304be739e850ca1abe8393fb91"},"schema_version":"1.0","source":{"id":"1901.03316","kind":"arxiv","version":1}},"canonical_sha256":"e0f5ec0c4bc7d15982e9e3a9de5472653efeffd4781f9b22860a43cf8adad47e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e0f5ec0c4bc7d15982e9e3a9de5472653efeffd4781f9b22860a43cf8adad47e","first_computed_at":"2026-05-17T23:56:34.748185Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:34.748185Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FQiYxc843/MtmM9E6oUps59nnQJ7DWgyqHGU/KlkJZAMazwyBhkeXh0FAuziG4wabT4wmmLsJPHsN9aVPB35Dw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:34.748603Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.03316","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:317fba1a41fbf383eed2fb1ac0dc2de4189adce610011c5f3b5a7240765741a0","sha256:63951a0ac73ae990a15c4b011f48967c5bb048d41cfc979866331904b1bf659d"],"state_sha256":"f1462e0c91baf33d327b7e590ffd4c032c2a0ba6b33db99956af703215055d9a"}