{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:PZEP4IIC2QV6RVCOOJYKMR62US","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":"563646263427cacbd3ef3d76ab06fefdda0f3cb6618d96d439305e51e6b35a72","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-02-02T06:40:55Z","title_canon_sha256":"1e99539d21c1e57bb5abf613e494ce2e95a59e5fbbe069963a6254b8f229f759"},"schema_version":"1.0","source":{"id":"1702.00553","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.00553","created_at":"2026-05-18T00:51:33Z"},{"alias_kind":"arxiv_version","alias_value":"1702.00553v1","created_at":"2026-05-18T00:51:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.00553","created_at":"2026-05-18T00:51:33Z"},{"alias_kind":"pith_short_12","alias_value":"PZEP4IIC2QV6","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PZEP4IIC2QV6RVCO","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PZEP4IIC","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:3b41ec018561e7ff1f67ed2b6b0a972af462e72027f78966c35eca88f7253d55","target":"graph","created_at":"2026-05-18T00:51:33Z","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"},"paper":{"abstract_excerpt":"In this paper, we consider a class of mixed integer programming problems (MIPs) whose objective functions are DC functions, that is, functions representable in terms of the difference of two convex functions. These MIPs contain a very wide class of computationally difficult nonconvex MIPs since the DC functions have powerful expressability. Recently, Maehara, Marumo, and Murota provided a continuous reformulation without integrality gaps for discrete DC programs having only integral variables. They also presented a new algorithm to solve the reformulated problem. Our aim is to extend their res","authors_text":"Takayuki Okuno, Yoshiko T. Ikebe","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-02-02T06:40:55Z","title":"A new approach for solving mixed integer DC programs using a continuous relaxation with no integrality gap and smoothing techniques"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.00553","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":"sha256:39a3a7dc94f73ed5e89512b9dc51f6351e1a52865b7d36412ed2206ab0806163","target":"record","created_at":"2026-05-18T00:51:33Z","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":"563646263427cacbd3ef3d76ab06fefdda0f3cb6618d96d439305e51e6b35a72","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-02-02T06:40:55Z","title_canon_sha256":"1e99539d21c1e57bb5abf613e494ce2e95a59e5fbbe069963a6254b8f229f759"},"schema_version":"1.0","source":{"id":"1702.00553","kind":"arxiv","version":1}},"canonical_sha256":"7e48fe2102d42be8d44e7270a647daa497dfc20c58e5d3953c226136ea5e4335","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e48fe2102d42be8d44e7270a647daa497dfc20c58e5d3953c226136ea5e4335","first_computed_at":"2026-05-18T00:51:33.258703Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:33.258703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Iid4cgAQO9hxgcZrFVnIRr39f583PDSyGMpdjgEaX4v/9VTxujsnaxW5W+1PcDqkjmjlhdKo4SaseUCFieyIBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:33.259213Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.00553","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39a3a7dc94f73ed5e89512b9dc51f6351e1a52865b7d36412ed2206ab0806163","sha256:3b41ec018561e7ff1f67ed2b6b0a972af462e72027f78966c35eca88f7253d55"],"state_sha256":"82d704ea7e3a28641e6e11b7d61c69e33fd52736b2c6d191c00b773a81fea4d6"}