{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:M3IDQARDOVUMNB7QY7KNJAFLO7","short_pith_number":"pith:M3IDQARD","schema_version":"1.0","canonical_sha256":"66d03802237568c687f0c7d4d480ab77c871cf42989153b6d8ef2885666bffce","source":{"kind":"arxiv","id":"1412.6491","version":1},"attestation_state":"computed","paper":{"title":"A commutative diagram among discrete and continuous Neumann boundary optimal control problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Domingo A. Tarzia","submitted_at":"2014-12-19T19:20:03Z","abstract_excerpt":"We consider a bounded domain D whose regular boundary consists of the union of two portions F1 and F2. The convergence of a family of continuous Neumann boundary mixed elliptic optimal control problems (Pa), governed by elliptic variational equalities, when the parameter a of the family goes to infinity was studied in Gariboldi - Tarzia, Adv. Diff. Eq. Control Processes, 1 (2008), 113-132, being the control variable the heat flux on the boundary F2. It has been proved that the optimal control problem (Pa) are strongly convergent to another optimal control (P) governed also by an elliptic varia"},"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":"1412.6491","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-12-19T19:20:03Z","cross_cats_sorted":[],"title_canon_sha256":"7bb3dcf09a790395643ee427767a09d53c682ae90896270825d5436fb1b3edae","abstract_canon_sha256":"fd988452a6aaed176958903e9598cbc2f274560e4965fd2fda3ed5008af9815b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:48.256126Z","signature_b64":"j5TrsvlfYfhFZ2UJEAQUOOJSkjxZirXU51CzdL5TVJfXMxxO1NZpGIsNLu8U1DjEqfiVIpiq2wJCtPojO3gOCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66d03802237568c687f0c7d4d480ab77c871cf42989153b6d8ef2885666bffce","last_reissued_at":"2026-05-18T02:30:48.255647Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:48.255647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A commutative diagram among discrete and continuous Neumann boundary optimal control problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Domingo A. Tarzia","submitted_at":"2014-12-19T19:20:03Z","abstract_excerpt":"We consider a bounded domain D whose regular boundary consists of the union of two portions F1 and F2. The convergence of a family of continuous Neumann boundary mixed elliptic optimal control problems (Pa), governed by elliptic variational equalities, when the parameter a of the family goes to infinity was studied in Gariboldi - Tarzia, Adv. Diff. Eq. Control Processes, 1 (2008), 113-132, being the control variable the heat flux on the boundary F2. It has been proved that the optimal control problem (Pa) are strongly convergent to another optimal control (P) governed also by an elliptic varia"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.6491","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":"1412.6491","created_at":"2026-05-18T02:30:48.255726+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.6491v1","created_at":"2026-05-18T02:30:48.255726+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.6491","created_at":"2026-05-18T02:30:48.255726+00:00"},{"alias_kind":"pith_short_12","alias_value":"M3IDQARDOVUM","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"M3IDQARDOVUMNB7Q","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"M3IDQARD","created_at":"2026-05-18T12:28:38.356838+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/M3IDQARDOVUMNB7QY7KNJAFLO7","json":"https://pith.science/pith/M3IDQARDOVUMNB7QY7KNJAFLO7.json","graph_json":"https://pith.science/api/pith-number/M3IDQARDOVUMNB7QY7KNJAFLO7/graph.json","events_json":"https://pith.science/api/pith-number/M3IDQARDOVUMNB7QY7KNJAFLO7/events.json","paper":"https://pith.science/paper/M3IDQARD"},"agent_actions":{"view_html":"https://pith.science/pith/M3IDQARDOVUMNB7QY7KNJAFLO7","download_json":"https://pith.science/pith/M3IDQARDOVUMNB7QY7KNJAFLO7.json","view_paper":"https://pith.science/paper/M3IDQARD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.6491&json=true","fetch_graph":"https://pith.science/api/pith-number/M3IDQARDOVUMNB7QY7KNJAFLO7/graph.json","fetch_events":"https://pith.science/api/pith-number/M3IDQARDOVUMNB7QY7KNJAFLO7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M3IDQARDOVUMNB7QY7KNJAFLO7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M3IDQARDOVUMNB7QY7KNJAFLO7/action/storage_attestation","attest_author":"https://pith.science/pith/M3IDQARDOVUMNB7QY7KNJAFLO7/action/author_attestation","sign_citation":"https://pith.science/pith/M3IDQARDOVUMNB7QY7KNJAFLO7/action/citation_signature","submit_replication":"https://pith.science/pith/M3IDQARDOVUMNB7QY7KNJAFLO7/action/replication_record"}},"created_at":"2026-05-18T02:30:48.255726+00:00","updated_at":"2026-05-18T02:30:48.255726+00:00"}