{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:S4BSCEPMKXZY7TK4HESDR2C655","short_pith_number":"pith:S4BSCEPM","schema_version":"1.0","canonical_sha256":"97032111ec55f38fcd5c392438e85eef706394c02c27676e964826bac157169a","source":{"kind":"arxiv","id":"2606.13343","version":1},"attestation_state":"computed","paper":{"title":"A smoothing extended sequential quadratic method for difference-of-convex optimization over a convex composite inequality constraint","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Jiefeng Xu, Ting Kei Pong, Yongle Zhang","submitted_at":"2026-06-11T13:32:13Z","abstract_excerpt":"We consider the problem of minimizing a difference-of-convex objective over a convex composite inequality constraint and a compact convex set constraint. To solve this problem, we extend the ESQM in [1] via incorporating a variable smoothing scheme. In essence, in each iteration of our algorithm, we apply one proximal gradient step to a smoothed penalty function, constructed based on a smooth approximation of the convex composite constraint function; and we design explicit rules to update the smoothing and penalty parameters. Under suitable constraint qualifications, we establish an 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":"2606.13343","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-06-11T13:32:13Z","cross_cats_sorted":[],"title_canon_sha256":"f90049fcdacefbfd54e8292001181b2e10b353ee503f83fe6aa3583b0097dd69","abstract_canon_sha256":"b578a3e2e567df04648d44731acede073555be71f0891a66eefccb423c4e22b6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-12T01:09:53.491393Z","signature_b64":"Ail1ebdqtkIYbkd8VvFW4jPnq0mFrjLXs8DjXPykM8Wt+YH+qv44sOAXzqx06oWocMh1c1GBpTFK0IVQPa8XBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97032111ec55f38fcd5c392438e85eef706394c02c27676e964826bac157169a","last_reissued_at":"2026-06-12T01:09:53.490480Z","signature_status":"signed_v1","first_computed_at":"2026-06-12T01:09:53.490480Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A smoothing extended sequential quadratic method for difference-of-convex optimization over a convex composite inequality constraint","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Jiefeng Xu, Ting Kei Pong, Yongle Zhang","submitted_at":"2026-06-11T13:32:13Z","abstract_excerpt":"We consider the problem of minimizing a difference-of-convex objective over a convex composite inequality constraint and a compact convex set constraint. To solve this problem, we extend the ESQM in [1] via incorporating a variable smoothing scheme. In essence, in each iteration of our algorithm, we apply one proximal gradient step to a smoothed penalty function, constructed based on a smooth approximation of the convex composite constraint function; and we design explicit rules to update the smoothing and penalty parameters. Under suitable constraint qualifications, we establish an iteration "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.13343","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.13343/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2606.13343","created_at":"2026-06-12T01:09:53.490634+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.13343v1","created_at":"2026-06-12T01:09:53.490634+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.13343","created_at":"2026-06-12T01:09:53.490634+00:00"},{"alias_kind":"pith_short_12","alias_value":"S4BSCEPMKXZY","created_at":"2026-06-12T01:09:53.490634+00:00"},{"alias_kind":"pith_short_16","alias_value":"S4BSCEPMKXZY7TK4","created_at":"2026-06-12T01:09:53.490634+00:00"},{"alias_kind":"pith_short_8","alias_value":"S4BSCEPM","created_at":"2026-06-12T01:09:53.490634+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/S4BSCEPMKXZY7TK4HESDR2C655","json":"https://pith.science/pith/S4BSCEPMKXZY7TK4HESDR2C655.json","graph_json":"https://pith.science/api/pith-number/S4BSCEPMKXZY7TK4HESDR2C655/graph.json","events_json":"https://pith.science/api/pith-number/S4BSCEPMKXZY7TK4HESDR2C655/events.json","paper":"https://pith.science/paper/S4BSCEPM"},"agent_actions":{"view_html":"https://pith.science/pith/S4BSCEPMKXZY7TK4HESDR2C655","download_json":"https://pith.science/pith/S4BSCEPMKXZY7TK4HESDR2C655.json","view_paper":"https://pith.science/paper/S4BSCEPM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.13343&json=true","fetch_graph":"https://pith.science/api/pith-number/S4BSCEPMKXZY7TK4HESDR2C655/graph.json","fetch_events":"https://pith.science/api/pith-number/S4BSCEPMKXZY7TK4HESDR2C655/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S4BSCEPMKXZY7TK4HESDR2C655/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S4BSCEPMKXZY7TK4HESDR2C655/action/storage_attestation","attest_author":"https://pith.science/pith/S4BSCEPMKXZY7TK4HESDR2C655/action/author_attestation","sign_citation":"https://pith.science/pith/S4BSCEPMKXZY7TK4HESDR2C655/action/citation_signature","submit_replication":"https://pith.science/pith/S4BSCEPMKXZY7TK4HESDR2C655/action/replication_record"}},"created_at":"2026-06-12T01:09:53.490634+00:00","updated_at":"2026-06-12T01:09:53.490634+00:00"}