{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:DKYYQWC2EP7Y62QLJ2Z37RTSHB","short_pith_number":"pith:DKYYQWC2","schema_version":"1.0","canonical_sha256":"1ab188585a23ff8f6a0b4eb3bfc672386bc0896f7f6f0d8a18fe629a3271556e","source":{"kind":"arxiv","id":"1809.06419","version":2},"attestation_state":"computed","paper":{"title":"A class of parabolic systems associated with optimal controls of grain boundary motions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"math.AP","authors_text":"Harbir Antil, Ken Shirakawa, Noriaki Yamazaki","submitted_at":"2018-09-17T19:58:22Z","abstract_excerpt":"We propose a semi-discrete numerical scheme and establish well-posedness of a class of parabolic systems. Such systems naturally arise while studying the optimal control of grain boundary motions. The latter is typically described using a set of parabolic variational inequalities. We use a regularization approach to deal with the variational inequality. The resulting optimization problem is a nonsmooth, nonconvex, and nonlinear programming problem. This is a long term project where in the current work we are first analyzing systems of PDEs associated with the regularized optimal control proble"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1809.06419","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-17T19:58:22Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"528e54fc8606746f46e8aa2f23c3da0ecedd443f26bf3d73b66a8fa6ae09fd20","abstract_canon_sha256":"4a687f8f164fb4fb527d43f3febb0d58c37fe19ae856067119a6a9d469e7dd3d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:19.214218Z","signature_b64":"94A553tD/iI7vwyPyMWZijQlhEK7wlz4aMHGK9GBFiwI2ALIJmkzUmy+mGUdG1LBnEzpBoqVjWEjNF6o004sBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ab188585a23ff8f6a0b4eb3bfc672386bc0896f7f6f0d8a18fe629a3271556e","last_reissued_at":"2026-05-18T00:02:19.213760Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:19.213760Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A class of parabolic systems associated with optimal controls of grain boundary motions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"math.AP","authors_text":"Harbir Antil, Ken Shirakawa, Noriaki Yamazaki","submitted_at":"2018-09-17T19:58:22Z","abstract_excerpt":"We propose a semi-discrete numerical scheme and establish well-posedness of a class of parabolic systems. Such systems naturally arise while studying the optimal control of grain boundary motions. The latter is typically described using a set of parabolic variational inequalities. We use a regularization approach to deal with the variational inequality. The resulting optimization problem is a nonsmooth, nonconvex, and nonlinear programming problem. This is a long term project where in the current work we are first analyzing systems of PDEs associated with the regularized optimal control proble"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.06419","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1809.06419","created_at":"2026-05-18T00:02:19.213835+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.06419v2","created_at":"2026-05-18T00:02:19.213835+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.06419","created_at":"2026-05-18T00:02:19.213835+00:00"},{"alias_kind":"pith_short_12","alias_value":"DKYYQWC2EP7Y","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_16","alias_value":"DKYYQWC2EP7Y62QL","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_8","alias_value":"DKYYQWC2","created_at":"2026-05-18T12:32:19.392346+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DKYYQWC2EP7Y62QLJ2Z37RTSHB","json":"https://pith.science/pith/DKYYQWC2EP7Y62QLJ2Z37RTSHB.json","graph_json":"https://pith.science/api/pith-number/DKYYQWC2EP7Y62QLJ2Z37RTSHB/graph.json","events_json":"https://pith.science/api/pith-number/DKYYQWC2EP7Y62QLJ2Z37RTSHB/events.json","paper":"https://pith.science/paper/DKYYQWC2"},"agent_actions":{"view_html":"https://pith.science/pith/DKYYQWC2EP7Y62QLJ2Z37RTSHB","download_json":"https://pith.science/pith/DKYYQWC2EP7Y62QLJ2Z37RTSHB.json","view_paper":"https://pith.science/paper/DKYYQWC2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.06419&json=true","fetch_graph":"https://pith.science/api/pith-number/DKYYQWC2EP7Y62QLJ2Z37RTSHB/graph.json","fetch_events":"https://pith.science/api/pith-number/DKYYQWC2EP7Y62QLJ2Z37RTSHB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DKYYQWC2EP7Y62QLJ2Z37RTSHB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DKYYQWC2EP7Y62QLJ2Z37RTSHB/action/storage_attestation","attest_author":"https://pith.science/pith/DKYYQWC2EP7Y62QLJ2Z37RTSHB/action/author_attestation","sign_citation":"https://pith.science/pith/DKYYQWC2EP7Y62QLJ2Z37RTSHB/action/citation_signature","submit_replication":"https://pith.science/pith/DKYYQWC2EP7Y62QLJ2Z37RTSHB/action/replication_record"}},"created_at":"2026-05-18T00:02:19.213835+00:00","updated_at":"2026-05-18T00:02:19.213835+00:00"}