{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HSKUGGSB2JVBLSTAPRKRDLW6KZ","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":"991a721edbfe241eb904f7c1387126859ec632f264efc373500327b7cfcee3c6","cross_cats_sorted":["cs.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-04-07T20:00:11Z","title_canon_sha256":"ec5beb12dd74793ccbf55ce3b5b3b96ea4e1ad987d975599d6d4fe7c3e48c612"},"schema_version":"1.0","source":{"id":"1604.02153","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.02153","created_at":"2026-05-18T00:22:16Z"},{"alias_kind":"arxiv_version","alias_value":"1604.02153v2","created_at":"2026-05-18T00:22:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02153","created_at":"2026-05-18T00:22:16Z"},{"alias_kind":"pith_short_12","alias_value":"HSKUGGSB2JVB","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"HSKUGGSB2JVBLSTA","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"HSKUGGSB","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:a8c52676570020c901dea8e062a29e7ab475eb3578132cd42d8fb34f6dfd612c","target":"graph","created_at":"2026-05-18T00:22:16Z","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":"We propose an efficient numerical algorithm for the solution of diffeomorphic image registration problems. We use a variational formulation constrained by a partial differential equation (PDE), where the constraints are a scalar transport equation.\n  We use a pseudospectral discretization in space and second-order accurate semi-Lagrangian time stepping scheme for the transport equations. We solve for a stationary velocity field using a preconditioned, globalized, matrix-free Newton-Krylov scheme. We propose and test a two-level Hessian preconditioner. We consider two strategies for inverting t","authors_text":"Andreas Mang, George Biros","cross_cats":["cs.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-04-07T20:00:11Z","title":"A Semi-Lagrangian two-level preconditioned Newton-Krylov solver for constrained diffeomorphic image registration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02153","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":"sha256:3a97298f0e219a6c47cadd25ee08083e788a61ab7ce705da3db6edde6c3f91bb","target":"record","created_at":"2026-05-18T00:22:16Z","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":"991a721edbfe241eb904f7c1387126859ec632f264efc373500327b7cfcee3c6","cross_cats_sorted":["cs.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-04-07T20:00:11Z","title_canon_sha256":"ec5beb12dd74793ccbf55ce3b5b3b96ea4e1ad987d975599d6d4fe7c3e48c612"},"schema_version":"1.0","source":{"id":"1604.02153","kind":"arxiv","version":2}},"canonical_sha256":"3c95431a41d26a15ca607c5511aede56405f21688c0960931b15166cdee1e2f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c95431a41d26a15ca607c5511aede56405f21688c0960931b15166cdee1e2f2","first_computed_at":"2026-05-18T00:22:16.481090Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:16.481090Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9Dp8inesogVxwm51perEOOmGk3kjqUS5C81rnIISGRYZNH7HCIL4XmeYTyJo1DwWalut5qghuH8ukmN3r5A1Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:16.481760Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.02153","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a97298f0e219a6c47cadd25ee08083e788a61ab7ce705da3db6edde6c3f91bb","sha256:a8c52676570020c901dea8e062a29e7ab475eb3578132cd42d8fb34f6dfd612c"],"state_sha256":"f9d193c163b8993602d8b1c16449da484034707e3826385a48050fe4a054d315"}