{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:A62PKLO6SITXL5VBFPVA5PVVXE","short_pith_number":"pith:A62PKLO6","schema_version":"1.0","canonical_sha256":"07b4f52dde922775f6a12bea0ebeb5b902e89810f2f02e437d35ef161b1b47cf","source":{"kind":"arxiv","id":"1903.04241","version":1},"attestation_state":"computed","paper":{"title":"A nonsmooth optimization approach for hemivariational inequalities with applications in Contact Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Anna Ochal, Michal Jureczka","submitted_at":"2019-03-11T12:10:43Z","abstract_excerpt":"In this paper we introduce an abstract nonsmooth optimization problem and prove existence and uniqueness of its solution. We present a numerical scheme to approximate this solution. The theory is later applied to a sample static contact problem describing an elastic body in frictional contact with a foundation. This contact is governed by a nonmonotone friction law with dependence on normal and tangential components of displacement. Finally, computational simulations are performed to illustrate obtained results."},"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":"1903.04241","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-03-11T12:10:43Z","cross_cats_sorted":[],"title_canon_sha256":"882fce93a0595c91262485d49c38495622a04e098a4aa1c87be63fca7e3c79b7","abstract_canon_sha256":"370540ea52da0446d0cc615b18f3e5b444ebf82f305868bf2cebde2fc0d20d5b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:36.097759Z","signature_b64":"rcMvhqWXhNVpATf6VR9nuudUQs9DSX6ZClbwvSPjhNKQiQ6AjnxesXqWUm6UthsuuQLHBYHKa59jZZYnrkUoDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07b4f52dde922775f6a12bea0ebeb5b902e89810f2f02e437d35ef161b1b47cf","last_reissued_at":"2026-05-17T23:51:36.097121Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:36.097121Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A nonsmooth optimization approach for hemivariational inequalities with applications in Contact Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Anna Ochal, Michal Jureczka","submitted_at":"2019-03-11T12:10:43Z","abstract_excerpt":"In this paper we introduce an abstract nonsmooth optimization problem and prove existence and uniqueness of its solution. We present a numerical scheme to approximate this solution. The theory is later applied to a sample static contact problem describing an elastic body in frictional contact with a foundation. This contact is governed by a nonmonotone friction law with dependence on normal and tangential components of displacement. Finally, computational simulations are performed to illustrate obtained results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.04241","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":"1903.04241","created_at":"2026-05-17T23:51:36.097219+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.04241v1","created_at":"2026-05-17T23:51:36.097219+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.04241","created_at":"2026-05-17T23:51:36.097219+00:00"},{"alias_kind":"pith_short_12","alias_value":"A62PKLO6SITX","created_at":"2026-05-18T12:33:12.712433+00:00"},{"alias_kind":"pith_short_16","alias_value":"A62PKLO6SITXL5VB","created_at":"2026-05-18T12:33:12.712433+00:00"},{"alias_kind":"pith_short_8","alias_value":"A62PKLO6","created_at":"2026-05-18T12:33:12.712433+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/A62PKLO6SITXL5VBFPVA5PVVXE","json":"https://pith.science/pith/A62PKLO6SITXL5VBFPVA5PVVXE.json","graph_json":"https://pith.science/api/pith-number/A62PKLO6SITXL5VBFPVA5PVVXE/graph.json","events_json":"https://pith.science/api/pith-number/A62PKLO6SITXL5VBFPVA5PVVXE/events.json","paper":"https://pith.science/paper/A62PKLO6"},"agent_actions":{"view_html":"https://pith.science/pith/A62PKLO6SITXL5VBFPVA5PVVXE","download_json":"https://pith.science/pith/A62PKLO6SITXL5VBFPVA5PVVXE.json","view_paper":"https://pith.science/paper/A62PKLO6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.04241&json=true","fetch_graph":"https://pith.science/api/pith-number/A62PKLO6SITXL5VBFPVA5PVVXE/graph.json","fetch_events":"https://pith.science/api/pith-number/A62PKLO6SITXL5VBFPVA5PVVXE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A62PKLO6SITXL5VBFPVA5PVVXE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A62PKLO6SITXL5VBFPVA5PVVXE/action/storage_attestation","attest_author":"https://pith.science/pith/A62PKLO6SITXL5VBFPVA5PVVXE/action/author_attestation","sign_citation":"https://pith.science/pith/A62PKLO6SITXL5VBFPVA5PVVXE/action/citation_signature","submit_replication":"https://pith.science/pith/A62PKLO6SITXL5VBFPVA5PVVXE/action/replication_record"}},"created_at":"2026-05-17T23:51:36.097219+00:00","updated_at":"2026-05-17T23:51:36.097219+00:00"}