{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:ICWD4INQXWYEF6JDL4S5OCCLPJ","short_pith_number":"pith:ICWD4INQ","schema_version":"1.0","canonical_sha256":"40ac3e21b0bdb042f9235f25d7084b7a7d29c35472c5e9ab43bdc0483324132c","source":{"kind":"arxiv","id":"1907.09985","version":1},"attestation_state":"computed","paper":{"title":"Subdifferentials and Stability Analysis of Feasible Set and Pareto Front Mappings in Linear Multiobjective Optimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Boris Mordukhovich, Juan Parra, Marco A. L\\'opez, Mar\\'ia J. C\\'anovas","submitted_at":"2019-07-23T16:32:49Z","abstract_excerpt":"The paper concerns multiobjective linear optimization problems in R^n that are parameterized with respect to the right-hand side perturbations of inequality constraints. Our focus is on measuring the variation of the feasible set and the Pareto front mappings around a nominal element while paying attention to some specific directions. This idea is formalized by means of the so-called epigraphical multifunction, which is defined by adding a fixed cone to the images of the original mapping. Through the epigraphical feasible and Pareto front mappings we describe the corresponding vector subdiffer"},"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":"1907.09985","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-07-23T16:32:49Z","cross_cats_sorted":[],"title_canon_sha256":"1b9ab087a6a33976e81fd07125beae04412e7a63fdee0d2fdc94402022ee9ef1","abstract_canon_sha256":"58e179824cb369d52e4830b509d19ac14973a6cdeffcdf7138eafe75c4fec2e1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:49.486995Z","signature_b64":"cRY7a2JsdEKK7lC7OTiUbs2qiHKEoOfXWR5bfkc/UGi0TIGo/O4xpZLf3sAX3P+FoOD6OWmpWl6FPDJmASVyAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40ac3e21b0bdb042f9235f25d7084b7a7d29c35472c5e9ab43bdc0483324132c","last_reissued_at":"2026-05-17T23:39:49.486189Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:49.486189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Subdifferentials and Stability Analysis of Feasible Set and Pareto Front Mappings in Linear Multiobjective Optimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Boris Mordukhovich, Juan Parra, Marco A. L\\'opez, Mar\\'ia J. C\\'anovas","submitted_at":"2019-07-23T16:32:49Z","abstract_excerpt":"The paper concerns multiobjective linear optimization problems in R^n that are parameterized with respect to the right-hand side perturbations of inequality constraints. Our focus is on measuring the variation of the feasible set and the Pareto front mappings around a nominal element while paying attention to some specific directions. This idea is formalized by means of the so-called epigraphical multifunction, which is defined by adding a fixed cone to the images of the original mapping. Through the epigraphical feasible and Pareto front mappings we describe the corresponding vector subdiffer"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.09985","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":"1907.09985","created_at":"2026-05-17T23:39:49.486334+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.09985v1","created_at":"2026-05-17T23:39:49.486334+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.09985","created_at":"2026-05-17T23:39:49.486334+00:00"},{"alias_kind":"pith_short_12","alias_value":"ICWD4INQXWYE","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_16","alias_value":"ICWD4INQXWYEF6JD","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_8","alias_value":"ICWD4INQ","created_at":"2026-05-18T12:33:18.533446+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/ICWD4INQXWYEF6JDL4S5OCCLPJ","json":"https://pith.science/pith/ICWD4INQXWYEF6JDL4S5OCCLPJ.json","graph_json":"https://pith.science/api/pith-number/ICWD4INQXWYEF6JDL4S5OCCLPJ/graph.json","events_json":"https://pith.science/api/pith-number/ICWD4INQXWYEF6JDL4S5OCCLPJ/events.json","paper":"https://pith.science/paper/ICWD4INQ"},"agent_actions":{"view_html":"https://pith.science/pith/ICWD4INQXWYEF6JDL4S5OCCLPJ","download_json":"https://pith.science/pith/ICWD4INQXWYEF6JDL4S5OCCLPJ.json","view_paper":"https://pith.science/paper/ICWD4INQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.09985&json=true","fetch_graph":"https://pith.science/api/pith-number/ICWD4INQXWYEF6JDL4S5OCCLPJ/graph.json","fetch_events":"https://pith.science/api/pith-number/ICWD4INQXWYEF6JDL4S5OCCLPJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ICWD4INQXWYEF6JDL4S5OCCLPJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ICWD4INQXWYEF6JDL4S5OCCLPJ/action/storage_attestation","attest_author":"https://pith.science/pith/ICWD4INQXWYEF6JDL4S5OCCLPJ/action/author_attestation","sign_citation":"https://pith.science/pith/ICWD4INQXWYEF6JDL4S5OCCLPJ/action/citation_signature","submit_replication":"https://pith.science/pith/ICWD4INQXWYEF6JDL4S5OCCLPJ/action/replication_record"}},"created_at":"2026-05-17T23:39:49.486334+00:00","updated_at":"2026-05-17T23:39:49.486334+00:00"}