{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:MUN2NKTDQRXPZ2T6BZKS25MXJQ","short_pith_number":"pith:MUN2NKTD","schema_version":"1.0","canonical_sha256":"651ba6aa63846efcea7e0e552d75974c2bab8d545cf1327f9774058f8883add5","source":{"kind":"arxiv","id":"2310.08424","version":2},"attestation_state":"computed","paper":{"title":"Convexification Techniques for Fractional Programs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Mohit Tawarmalani, Siyue Liu, Taotao He","submitted_at":"2023-10-12T15:48:03Z","abstract_excerpt":"This paper develops a correspondence relating convex hulls of fractional functions with those of polynomial functions over the same domain. Using this result, we develop a number of new reformulations and relaxations for fractional programming problems. First, we relate 0-1 problems involving a ratio of affine functions with the boolean quadric polytope, and use inequalities for the latter to develop tighter formulations for the former. Second, we derive a new formulation to optimize a ratio of quadratic functions over a polytope using copositive programming. Third, we show that univariate fra"},"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":"2310.08424","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-10-12T15:48:03Z","cross_cats_sorted":[],"title_canon_sha256":"e99730f328be13c2ade0562275f4d8d607e20ce148d6901f577418217b761c22","abstract_canon_sha256":"b2cab2adcee3c3c9be3661cc4f4ebe3ed1104752a3bc824c1f152466655561e1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:32:09.425089Z","signature_b64":"0NJq/4HxLszi0fd0q7DuCX3YUid1KjZEAJXS5HKAzj7y5JRWR3KlqajNXbr64tZMojOVOgzH0bHLsZQYPJpuAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"651ba6aa63846efcea7e0e552d75974c2bab8d545cf1327f9774058f8883add5","last_reissued_at":"2026-07-05T08:32:09.424583Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:32:09.424583Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Convexification Techniques for Fractional Programs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Mohit Tawarmalani, Siyue Liu, Taotao He","submitted_at":"2023-10-12T15:48:03Z","abstract_excerpt":"This paper develops a correspondence relating convex hulls of fractional functions with those of polynomial functions over the same domain. Using this result, we develop a number of new reformulations and relaxations for fractional programming problems. First, we relate 0-1 problems involving a ratio of affine functions with the boolean quadric polytope, and use inequalities for the latter to develop tighter formulations for the former. Second, we derive a new formulation to optimize a ratio of quadratic functions over a polytope using copositive programming. Third, we show that univariate fra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.08424","kind":"arxiv","version":2},"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/2310.08424/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":"2310.08424","created_at":"2026-07-05T08:32:09.424638+00:00"},{"alias_kind":"arxiv_version","alias_value":"2310.08424v2","created_at":"2026-07-05T08:32:09.424638+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.08424","created_at":"2026-07-05T08:32:09.424638+00:00"},{"alias_kind":"pith_short_12","alias_value":"MUN2NKTDQRXP","created_at":"2026-07-05T08:32:09.424638+00:00"},{"alias_kind":"pith_short_16","alias_value":"MUN2NKTDQRXPZ2T6","created_at":"2026-07-05T08:32:09.424638+00:00"},{"alias_kind":"pith_short_8","alias_value":"MUN2NKTD","created_at":"2026-07-05T08:32:09.424638+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/MUN2NKTDQRXPZ2T6BZKS25MXJQ","json":"https://pith.science/pith/MUN2NKTDQRXPZ2T6BZKS25MXJQ.json","graph_json":"https://pith.science/api/pith-number/MUN2NKTDQRXPZ2T6BZKS25MXJQ/graph.json","events_json":"https://pith.science/api/pith-number/MUN2NKTDQRXPZ2T6BZKS25MXJQ/events.json","paper":"https://pith.science/paper/MUN2NKTD"},"agent_actions":{"view_html":"https://pith.science/pith/MUN2NKTDQRXPZ2T6BZKS25MXJQ","download_json":"https://pith.science/pith/MUN2NKTDQRXPZ2T6BZKS25MXJQ.json","view_paper":"https://pith.science/paper/MUN2NKTD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2310.08424&json=true","fetch_graph":"https://pith.science/api/pith-number/MUN2NKTDQRXPZ2T6BZKS25MXJQ/graph.json","fetch_events":"https://pith.science/api/pith-number/MUN2NKTDQRXPZ2T6BZKS25MXJQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MUN2NKTDQRXPZ2T6BZKS25MXJQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MUN2NKTDQRXPZ2T6BZKS25MXJQ/action/storage_attestation","attest_author":"https://pith.science/pith/MUN2NKTDQRXPZ2T6BZKS25MXJQ/action/author_attestation","sign_citation":"https://pith.science/pith/MUN2NKTDQRXPZ2T6BZKS25MXJQ/action/citation_signature","submit_replication":"https://pith.science/pith/MUN2NKTDQRXPZ2T6BZKS25MXJQ/action/replication_record"}},"created_at":"2026-07-05T08:32:09.424638+00:00","updated_at":"2026-07-05T08:32:09.424638+00:00"}