{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:LUFI22DVTSLBUFYEN5XW2LYIR3","short_pith_number":"pith:LUFI22DV","schema_version":"1.0","canonical_sha256":"5d0a8d68759c961a17046f6f6d2f088efef4beb4673e37a05abc4b497a14f102","source":{"kind":"arxiv","id":"1510.06522","version":1},"attestation_state":"computed","paper":{"title":"Another pedagogy for mixed-integer Gomory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Angelika Wiegele, Jon Lee","submitted_at":"2015-10-22T08:33:23Z","abstract_excerpt":"We present a version of GMI (Gomory mixed-integer) cuts in a way so that they are derived with respect to a \"dual form\" mixed-integer optimization problem and applied on the standard-form primal side as columns, using the primal simplex algorithm. This follows the general scheme of He and Lee, who did the case of Gomory pure-integer cuts.\n  Our input mixed-integer problem is not in standard form, and so our cuts are derived rather differently from how they are normally derived. A convenient way to develop GMI cuts is from MIR (mixed-integer rounding) cuts, which are developed from 2-dimensiona"},"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":"1510.06522","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-10-22T08:33:23Z","cross_cats_sorted":[],"title_canon_sha256":"add2f6ed853f5a95d54b396c4a44bd6dc7660baffb918321ee87cfd178d04506","abstract_canon_sha256":"d32c6f54533ae15e9097d8134da0e5a7e40c9b075c6de17e1e90f66f9bbb1d6e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:00.630698Z","signature_b64":"IxFuZWncjhcrw73oqKyGH7IIVjos0hyXNlQ5pCyDj7NYarGd2bcDOKn5vN7uJuicOiLm7zVwccx6ZZjc5jNOBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d0a8d68759c961a17046f6f6d2f088efef4beb4673e37a05abc4b497a14f102","last_reissued_at":"2026-05-18T00:03:00.630040Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:00.630040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Another pedagogy for mixed-integer Gomory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Angelika Wiegele, Jon Lee","submitted_at":"2015-10-22T08:33:23Z","abstract_excerpt":"We present a version of GMI (Gomory mixed-integer) cuts in a way so that they are derived with respect to a \"dual form\" mixed-integer optimization problem and applied on the standard-form primal side as columns, using the primal simplex algorithm. This follows the general scheme of He and Lee, who did the case of Gomory pure-integer cuts.\n  Our input mixed-integer problem is not in standard form, and so our cuts are derived rather differently from how they are normally derived. A convenient way to develop GMI cuts is from MIR (mixed-integer rounding) cuts, which are developed from 2-dimensiona"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.06522","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":"1510.06522","created_at":"2026-05-18T00:03:00.630139+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.06522v1","created_at":"2026-05-18T00:03:00.630139+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.06522","created_at":"2026-05-18T00:03:00.630139+00:00"},{"alias_kind":"pith_short_12","alias_value":"LUFI22DVTSLB","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_16","alias_value":"LUFI22DVTSLBUFYE","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_8","alias_value":"LUFI22DV","created_at":"2026-05-18T12:29:29.992203+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/LUFI22DVTSLBUFYEN5XW2LYIR3","json":"https://pith.science/pith/LUFI22DVTSLBUFYEN5XW2LYIR3.json","graph_json":"https://pith.science/api/pith-number/LUFI22DVTSLBUFYEN5XW2LYIR3/graph.json","events_json":"https://pith.science/api/pith-number/LUFI22DVTSLBUFYEN5XW2LYIR3/events.json","paper":"https://pith.science/paper/LUFI22DV"},"agent_actions":{"view_html":"https://pith.science/pith/LUFI22DVTSLBUFYEN5XW2LYIR3","download_json":"https://pith.science/pith/LUFI22DVTSLBUFYEN5XW2LYIR3.json","view_paper":"https://pith.science/paper/LUFI22DV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.06522&json=true","fetch_graph":"https://pith.science/api/pith-number/LUFI22DVTSLBUFYEN5XW2LYIR3/graph.json","fetch_events":"https://pith.science/api/pith-number/LUFI22DVTSLBUFYEN5XW2LYIR3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LUFI22DVTSLBUFYEN5XW2LYIR3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LUFI22DVTSLBUFYEN5XW2LYIR3/action/storage_attestation","attest_author":"https://pith.science/pith/LUFI22DVTSLBUFYEN5XW2LYIR3/action/author_attestation","sign_citation":"https://pith.science/pith/LUFI22DVTSLBUFYEN5XW2LYIR3/action/citation_signature","submit_replication":"https://pith.science/pith/LUFI22DVTSLBUFYEN5XW2LYIR3/action/replication_record"}},"created_at":"2026-05-18T00:03:00.630139+00:00","updated_at":"2026-05-18T00:03:00.630139+00:00"}