{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SMIUEYDKS2S2BNZ3T7GNC6BWMK","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":"d17232c14a8f23b4a8ee94d51f0dc9e47ccc796395fa49a490cb57669b3ef96d","cross_cats_sorted":["math.AP","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-12-31T19:58:29Z","title_canon_sha256":"51edcdac80e91cb3dd9f80a53ce5eaa4ea6cdbe73be78db1735a9319b6bf228c"},"schema_version":"1.0","source":{"id":"1701.00162","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.00162","created_at":"2026-05-18T00:53:36Z"},{"alias_kind":"arxiv_version","alias_value":"1701.00162v1","created_at":"2026-05-18T00:53:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.00162","created_at":"2026-05-18T00:53:36Z"},{"alias_kind":"pith_short_12","alias_value":"SMIUEYDKS2S2","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SMIUEYDKS2S2BNZ3","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SMIUEYDK","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:2ad27e62e82ec68d46d53f60488f8ce1a1e6694189c75732d9dc8b3e813b0ba9","target":"graph","created_at":"2026-05-18T00:53:36Z","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":"In this paper we derive nonlinear evolution equations associated with a class of non-convex energy functionals which can be used for correcting displacement errors in imaging data. We study properties of these filtering flows and provide experiments for correcting angular perturbations in tomographical data.","authors_text":"Guozhi Dong, Otmar Scherzer","cross_cats":["math.AP","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-12-31T19:58:29Z","title":"Nonlinear Flows for Displacement Correction and Applications in Tomography"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.00162","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:ce5a5d95c2489f04c504f7e6268d8b229d09c9d6d3bcd9535b3efd776bf00b49","target":"record","created_at":"2026-05-18T00:53:36Z","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":"d17232c14a8f23b4a8ee94d51f0dc9e47ccc796395fa49a490cb57669b3ef96d","cross_cats_sorted":["math.AP","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-12-31T19:58:29Z","title_canon_sha256":"51edcdac80e91cb3dd9f80a53ce5eaa4ea6cdbe73be78db1735a9319b6bf228c"},"schema_version":"1.0","source":{"id":"1701.00162","kind":"arxiv","version":1}},"canonical_sha256":"931142606a96a5a0b73b9fccd1783662b598e830965cf003ab6ceea64d7cc82c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"931142606a96a5a0b73b9fccd1783662b598e830965cf003ab6ceea64d7cc82c","first_computed_at":"2026-05-18T00:53:36.199275Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:36.199275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6BqUqDKFCpKDIIiercTOtpnOv5j8twvlnWQZ29yU2vxJpS2EWRA12B+10Us4w0rY71Q0Vn4jvgg+wfpI/DSNBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:36.199708Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.00162","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce5a5d95c2489f04c504f7e6268d8b229d09c9d6d3bcd9535b3efd776bf00b49","sha256:2ad27e62e82ec68d46d53f60488f8ce1a1e6694189c75732d9dc8b3e813b0ba9"],"state_sha256":"76402c9fb45887c633abdfa2b1c7f936a732ccd92019e1e8ca6ced22f5843b2b"}