{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:NAIH5JY77GREIRRGOW3PZU2MAX","short_pith_number":"pith:NAIH5JY7","schema_version":"1.0","canonical_sha256":"68107ea71ff9a244462675b6fcd34c05c470bba6b6e131330396146c1958a8b2","source":{"kind":"arxiv","id":"1601.00012","version":1},"attestation_state":"computed","paper":{"title":"Numerical analysis of a family of optimal distributed control problems governed by an elliptic variational inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Domingo A. Tarzia, Mariela C. Olguin","submitted_at":"2015-12-31T21:31:45Z","abstract_excerpt":"The numerical analysis of a family of distributed mixed optimal control problems governed by elliptic variational inequalities (with parameter $\\alpha >0$) is obtained through the finite element method when its parameter $h\\rightarrow 0$. We also obtain the limit of the discrete optimal control and the associated state system solutions when $\\alpha\\rightarrow \\infty$ (for each $h>0$) and a commutative diagram for two continuous and two discrete optimal control and its associated state system solutions is obtained when $h\\rightarrow 0$ and $\\alpha\\rightarrow \\infty$. Moreover, the double conver"},"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":"1601.00012","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-12-31T21:31:45Z","cross_cats_sorted":[],"title_canon_sha256":"0e969f06931ef275cd40a4d663640384df9402416b424c4d612a9028947c7be7","abstract_canon_sha256":"3142ead7c467fb8b00014513907e0348545e30c29f9984d6f5c4dde8c1580e4c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:32.031598Z","signature_b64":"PGG4zIa6vkiOXKfSfT8VIAjzWHDuYFfPsAbtxfwa+g5RN4jWKpsTZueqXCzgd4jHCyXpTeLqMo/1D1jENQE2BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68107ea71ff9a244462675b6fcd34c05c470bba6b6e131330396146c1958a8b2","last_reissued_at":"2026-05-18T01:23:32.031077Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:32.031077Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Numerical analysis of a family of optimal distributed control problems governed by an elliptic variational inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Domingo A. Tarzia, Mariela C. Olguin","submitted_at":"2015-12-31T21:31:45Z","abstract_excerpt":"The numerical analysis of a family of distributed mixed optimal control problems governed by elliptic variational inequalities (with parameter $\\alpha >0$) is obtained through the finite element method when its parameter $h\\rightarrow 0$. We also obtain the limit of the discrete optimal control and the associated state system solutions when $\\alpha\\rightarrow \\infty$ (for each $h>0$) and a commutative diagram for two continuous and two discrete optimal control and its associated state system solutions is obtained when $h\\rightarrow 0$ and $\\alpha\\rightarrow \\infty$. Moreover, the double conver"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00012","kind":"arxiv","version":1},"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":"1601.00012","created_at":"2026-05-18T01:23:32.031155+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.00012v1","created_at":"2026-05-18T01:23:32.031155+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00012","created_at":"2026-05-18T01:23:32.031155+00:00"},{"alias_kind":"pith_short_12","alias_value":"NAIH5JY77GRE","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_16","alias_value":"NAIH5JY77GREIRRG","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_8","alias_value":"NAIH5JY7","created_at":"2026-05-18T12:29:32.376354+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/NAIH5JY77GREIRRGOW3PZU2MAX","json":"https://pith.science/pith/NAIH5JY77GREIRRGOW3PZU2MAX.json","graph_json":"https://pith.science/api/pith-number/NAIH5JY77GREIRRGOW3PZU2MAX/graph.json","events_json":"https://pith.science/api/pith-number/NAIH5JY77GREIRRGOW3PZU2MAX/events.json","paper":"https://pith.science/paper/NAIH5JY7"},"agent_actions":{"view_html":"https://pith.science/pith/NAIH5JY77GREIRRGOW3PZU2MAX","download_json":"https://pith.science/pith/NAIH5JY77GREIRRGOW3PZU2MAX.json","view_paper":"https://pith.science/paper/NAIH5JY7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.00012&json=true","fetch_graph":"https://pith.science/api/pith-number/NAIH5JY77GREIRRGOW3PZU2MAX/graph.json","fetch_events":"https://pith.science/api/pith-number/NAIH5JY77GREIRRGOW3PZU2MAX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NAIH5JY77GREIRRGOW3PZU2MAX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NAIH5JY77GREIRRGOW3PZU2MAX/action/storage_attestation","attest_author":"https://pith.science/pith/NAIH5JY77GREIRRGOW3PZU2MAX/action/author_attestation","sign_citation":"https://pith.science/pith/NAIH5JY77GREIRRGOW3PZU2MAX/action/citation_signature","submit_replication":"https://pith.science/pith/NAIH5JY77GREIRRGOW3PZU2MAX/action/replication_record"}},"created_at":"2026-05-18T01:23:32.031155+00:00","updated_at":"2026-05-18T01:23:32.031155+00:00"}