{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:G3QKLHQFQ4FXFIYO2Y4G7J7MMN","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":"8bf581ac8fc81616ac5190ca8f0b56c09100f7b6b174fefeb738588abc85bf05","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-13T06:10:11Z","title_canon_sha256":"fe46efc1728537817d867a12d4d85f9b2c1eaf742056ac8089be839204705aa8"},"schema_version":"1.0","source":{"id":"1803.04641","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.04641","created_at":"2026-05-18T00:03:00Z"},{"alias_kind":"arxiv_version","alias_value":"1803.04641v2","created_at":"2026-05-18T00:03:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.04641","created_at":"2026-05-18T00:03:00Z"},{"alias_kind":"pith_short_12","alias_value":"G3QKLHQFQ4FX","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"G3QKLHQFQ4FXFIYO","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"G3QKLHQF","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:65629bcb33a344921ca9e034f21cb28ce8efd133c6c4948578e39a8ce5ed700a","target":"graph","created_at":"2026-05-18T00:03:00Z","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":"This paper presents a modified quasi-reversibility method for computing the exponentially unstable solution of a nonlocal terminal-boundary value parabolic problem with noisy data. Based on data measurements, we perturb the problem by the so-called filter regularized operator to design an approximate problem. Different from recently developed approaches that consist in the conventional spectral methods, we analyze this new approximation in a variational framework, where the finite element method can be applied. To see the whole skeleton of this method, our main results lie in the analysis of a","authors_text":"Nguyen Huy Tuan, Vo Anh Khoa, Vo Van Au","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-13T06:10:11Z","title":"Analysis of a quasi-reversibility method for a terminal value quasi-linear parabolic problem with measurements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.04641","kind":"arxiv","version":2},"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:a37e3a1e1e06a6f5b7e573e5dfeeb42c03deb5bd9884f6f75d47b216cc33b77e","target":"record","created_at":"2026-05-18T00:03:00Z","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":"8bf581ac8fc81616ac5190ca8f0b56c09100f7b6b174fefeb738588abc85bf05","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-13T06:10:11Z","title_canon_sha256":"fe46efc1728537817d867a12d4d85f9b2c1eaf742056ac8089be839204705aa8"},"schema_version":"1.0","source":{"id":"1803.04641","kind":"arxiv","version":2}},"canonical_sha256":"36e0a59e05870b72a30ed6386fa7ec63677f2257c83e49a77783abbfb45d5864","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36e0a59e05870b72a30ed6386fa7ec63677f2257c83e49a77783abbfb45d5864","first_computed_at":"2026-05-18T00:03:00.011588Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:00.011588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O47pL1psPQKpTWOJZYSrFRiJlgV2nT/7YYgyYpWcJVzm2aBgSWlI8/x4/7YefBxVOjIyooY3vGq0YS9HhEFXAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:00.012080Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.04641","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a37e3a1e1e06a6f5b7e573e5dfeeb42c03deb5bd9884f6f75d47b216cc33b77e","sha256:65629bcb33a344921ca9e034f21cb28ce8efd133c6c4948578e39a8ce5ed700a"],"state_sha256":"44241c97a774d24436ca038317116a0b813502a1c8475572d5bd7bba4f5f8a3f"}