{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:BPGHPQJZE2LOZTZ46UVM7JHZF2","short_pith_number":"pith:BPGHPQJZ","schema_version":"1.0","canonical_sha256":"0bcc77c1392696eccf3cf52acfa4f92ea415361a474fbc61ddc8d38850655aa4","source":{"kind":"arxiv","id":"1901.07084","version":1},"attestation_state":"computed","paper":{"title":"Status Determination by Interior-Point Methods for Convex Optimization Problems in Domain-Driven Form","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Levent Tun\\c{c}el, Mehdi Karimi","submitted_at":"2019-01-21T21:15:27Z","abstract_excerpt":"We study the geometry of convex optimization problems given in a Domain-Driven form and categorize possible statuses of these problems using duality theory. Our duality theory for the Domain-Driven form, which accepts both conic and non-conic constraints, lets us determine and certify statuses of a problem as rigorously as the best approaches for conic formulations (which have been demonstrably very efficient in this context). We analyze the performance of an infeasible-start primal-dual algorithm for the Domain-Driven form in returning the certificates for the defined statuses. Our iteration "},"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":"1901.07084","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-01-21T21:15:27Z","cross_cats_sorted":[],"title_canon_sha256":"97d4095dcb551e223ae5297f614c2ac26361a33eef331755a91bd03a6a7c458d","abstract_canon_sha256":"8dbf645430051925db4ceb3d2110e4846ca4a7a074ecae60af8f968669d1905a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:48.204385Z","signature_b64":"wxMHm2Tcn5H4JLuQncafr54/0RZtvcmWqmdXU7/HLCOz9c2HFhF0Wooc+b3K1WOb9mOHSHJelUFFgvLCRC/CAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0bcc77c1392696eccf3cf52acfa4f92ea415361a474fbc61ddc8d38850655aa4","last_reissued_at":"2026-05-17T23:55:48.203749Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:48.203749Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Status Determination by Interior-Point Methods for Convex Optimization Problems in Domain-Driven Form","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Levent Tun\\c{c}el, Mehdi Karimi","submitted_at":"2019-01-21T21:15:27Z","abstract_excerpt":"We study the geometry of convex optimization problems given in a Domain-Driven form and categorize possible statuses of these problems using duality theory. Our duality theory for the Domain-Driven form, which accepts both conic and non-conic constraints, lets us determine and certify statuses of a problem as rigorously as the best approaches for conic formulations (which have been demonstrably very efficient in this context). We analyze the performance of an infeasible-start primal-dual algorithm for the Domain-Driven form in returning the certificates for the defined statuses. Our iteration "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.07084","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":"1901.07084","created_at":"2026-05-17T23:55:48.203835+00:00"},{"alias_kind":"arxiv_version","alias_value":"1901.07084v1","created_at":"2026-05-17T23:55:48.203835+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.07084","created_at":"2026-05-17T23:55:48.203835+00:00"},{"alias_kind":"pith_short_12","alias_value":"BPGHPQJZE2LO","created_at":"2026-05-18T12:33:12.712433+00:00"},{"alias_kind":"pith_short_16","alias_value":"BPGHPQJZE2LOZTZ4","created_at":"2026-05-18T12:33:12.712433+00:00"},{"alias_kind":"pith_short_8","alias_value":"BPGHPQJZ","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/BPGHPQJZE2LOZTZ46UVM7JHZF2","json":"https://pith.science/pith/BPGHPQJZE2LOZTZ46UVM7JHZF2.json","graph_json":"https://pith.science/api/pith-number/BPGHPQJZE2LOZTZ46UVM7JHZF2/graph.json","events_json":"https://pith.science/api/pith-number/BPGHPQJZE2LOZTZ46UVM7JHZF2/events.json","paper":"https://pith.science/paper/BPGHPQJZ"},"agent_actions":{"view_html":"https://pith.science/pith/BPGHPQJZE2LOZTZ46UVM7JHZF2","download_json":"https://pith.science/pith/BPGHPQJZE2LOZTZ46UVM7JHZF2.json","view_paper":"https://pith.science/paper/BPGHPQJZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1901.07084&json=true","fetch_graph":"https://pith.science/api/pith-number/BPGHPQJZE2LOZTZ46UVM7JHZF2/graph.json","fetch_events":"https://pith.science/api/pith-number/BPGHPQJZE2LOZTZ46UVM7JHZF2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BPGHPQJZE2LOZTZ46UVM7JHZF2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BPGHPQJZE2LOZTZ46UVM7JHZF2/action/storage_attestation","attest_author":"https://pith.science/pith/BPGHPQJZE2LOZTZ46UVM7JHZF2/action/author_attestation","sign_citation":"https://pith.science/pith/BPGHPQJZE2LOZTZ46UVM7JHZF2/action/citation_signature","submit_replication":"https://pith.science/pith/BPGHPQJZE2LOZTZ46UVM7JHZF2/action/replication_record"}},"created_at":"2026-05-17T23:55:48.203835+00:00","updated_at":"2026-05-17T23:55:48.203835+00:00"}