{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:S4BSCEPMKXZY7TK4HESDR2C655","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b578a3e2e567df04648d44731acede073555be71f0891a66eefccb423c4e22b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-06-11T13:32:13Z","title_canon_sha256":"f90049fcdacefbfd54e8292001181b2e10b353ee503f83fe6aa3583b0097dd69"},"schema_version":"1.0","source":{"id":"2606.13343","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.13343","created_at":"2026-06-12T01:09:53Z"},{"alias_kind":"arxiv_version","alias_value":"2606.13343v1","created_at":"2026-06-12T01:09:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.13343","created_at":"2026-06-12T01:09:53Z"},{"alias_kind":"pith_short_12","alias_value":"S4BSCEPMKXZY","created_at":"2026-06-12T01:09:53Z"},{"alias_kind":"pith_short_16","alias_value":"S4BSCEPMKXZY7TK4","created_at":"2026-06-12T01:09:53Z"},{"alias_kind":"pith_short_8","alias_value":"S4BSCEPM","created_at":"2026-06-12T01:09:53Z"}],"graph_snapshots":[{"event_id":"sha256:0f3d11ba72b7c9490b01555cc58d00ade279faf485cabccb8cf57cf23d0a6921","target":"graph","created_at":"2026-06-12T01:09:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.13343/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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 ","authors_text":"Jiefeng Xu, Ting Kei Pong, Yongle Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-06-11T13:32:13Z","title":"A smoothing extended sequential quadratic method for difference-of-convex optimization over a convex composite inequality constraint"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.13343","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:e58a0e24c6dcc285b353a9f28e51bb90ea105d22a622ee9e4db5ca46a6177289","target":"record","created_at":"2026-06-12T01:09:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b578a3e2e567df04648d44731acede073555be71f0891a66eefccb423c4e22b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-06-11T13:32:13Z","title_canon_sha256":"f90049fcdacefbfd54e8292001181b2e10b353ee503f83fe6aa3583b0097dd69"},"schema_version":"1.0","source":{"id":"2606.13343","kind":"arxiv","version":1}},"canonical_sha256":"97032111ec55f38fcd5c392438e85eef706394c02c27676e964826bac157169a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97032111ec55f38fcd5c392438e85eef706394c02c27676e964826bac157169a","first_computed_at":"2026-06-12T01:09:53.490480Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-12T01:09:53.490480Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ail1ebdqtkIYbkd8VvFW4jPnq0mFrjLXs8DjXPykM8Wt+YH+qv44sOAXzqx06oWocMh1c1GBpTFK0IVQPa8XBA==","signature_status":"signed_v1","signed_at":"2026-06-12T01:09:53.491393Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.13343","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e58a0e24c6dcc285b353a9f28e51bb90ea105d22a622ee9e4db5ca46a6177289","sha256:0f3d11ba72b7c9490b01555cc58d00ade279faf485cabccb8cf57cf23d0a6921"],"state_sha256":"dfcccb1a4519086034df93535c3bce8d52b06bbf6ac8f7b200c1a1e38f54c1e0"}