{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MJIOPHB5RDZOBOLRG4H764ILJQ","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":"145c1975bac7731942575725b17f4145d0711460fe7c576b63a9304ab6db9a8a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.OC","submitted_at":"2016-03-28T21:35:14Z","title_canon_sha256":"980edb27a23a9062f63f8447817975bca9f33a87a33601dd0739a2401815afea"},"schema_version":"1.0","source":{"id":"1603.08572","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.08572","created_at":"2026-05-18T00:51:51Z"},{"alias_kind":"arxiv_version","alias_value":"1603.08572v1","created_at":"2026-05-18T00:51:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.08572","created_at":"2026-05-18T00:51:51Z"},{"alias_kind":"pith_short_12","alias_value":"MJIOPHB5RDZO","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MJIOPHB5RDZOBOLR","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MJIOPHB5","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:9fcc3fcddc5bf1157774231b7eed34d96cbcdaf0367669332156f015fd63cbba","target":"graph","created_at":"2026-05-18T00:51:51Z","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 and investigate a novel solution strategy to efficiently and accurately compute approximate solutions to semilinear optimal control problems, focusing on the optimal control of phase field formulations of geometric evolution laws. The optimal control of geometric evolution laws arises in a number of applications in fields including material science, image processing, tumour growth anda cell motility. In the current work we focus on a phase field formulation of the optimal control problem, hence exploiting the well developed mathematical theory for the optimal control of semilinear p","authors_text":"A. Madzvamuse, C. Venkataraman, F. Yang, V. Styles","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.OC","submitted_at":"2016-03-28T21:35:14Z","title":"A robust and efficient adaptive multigrid solver for the optimal control of phase field formulations of geometric evolution laws"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.08572","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":"sha256:5e7281544bfc89e665e5c7bde3ed27f89211990bd9ce4dd5428fffef6cc455d8","target":"record","created_at":"2026-05-18T00:51:51Z","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":"145c1975bac7731942575725b17f4145d0711460fe7c576b63a9304ab6db9a8a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.OC","submitted_at":"2016-03-28T21:35:14Z","title_canon_sha256":"980edb27a23a9062f63f8447817975bca9f33a87a33601dd0739a2401815afea"},"schema_version":"1.0","source":{"id":"1603.08572","kind":"arxiv","version":1}},"canonical_sha256":"6250e79c3d88f2e0b971370fff710b4c173ca11746a642106e1077c87884ed4a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6250e79c3d88f2e0b971370fff710b4c173ca11746a642106e1077c87884ed4a","first_computed_at":"2026-05-18T00:51:51.536734Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:51.536734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+EZpWaVzjnM9LRYbaQZIpVuylFrzMDNl/7NFYskP1+kt8UItRDoDbEoFvs6RiiMH3RtTX40PWP7pNTjkkTJCAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:51.537288Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.08572","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e7281544bfc89e665e5c7bde3ed27f89211990bd9ce4dd5428fffef6cc455d8","sha256:9fcc3fcddc5bf1157774231b7eed34d96cbcdaf0367669332156f015fd63cbba"],"state_sha256":"77fc950fe66f2b4c710972685b6f2e4ac12544ca29c467d149aa861d545db86a"}