{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:Z5XWJDHI4Z6LPSE4MUP63VSFVD","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":"9379224c4f9e9cd0d56af4a025058e80df171df0edc78b1b02b90ef015522c29","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2023-11-07T10:59:25Z","title_canon_sha256":"cbb570da6393ce3e5a144a56185f87452c793ce7e3b0419090f5f1683c863cbc"},"schema_version":"1.0","source":{"id":"2311.03885","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.03885","created_at":"2026-07-05T10:59:22Z"},{"alias_kind":"arxiv_version","alias_value":"2311.03885v3","created_at":"2026-07-05T10:59:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.03885","created_at":"2026-07-05T10:59:22Z"},{"alias_kind":"pith_short_12","alias_value":"Z5XWJDHI4Z6L","created_at":"2026-07-05T10:59:22Z"},{"alias_kind":"pith_short_16","alias_value":"Z5XWJDHI4Z6LPSE4","created_at":"2026-07-05T10:59:22Z"},{"alias_kind":"pith_short_8","alias_value":"Z5XWJDHI","created_at":"2026-07-05T10:59:22Z"}],"graph_snapshots":[{"event_id":"sha256:6a5baad44de5bd75dda04969f3bd3173869b71dfd6875eec00af42ffd0819084","target":"graph","created_at":"2026-07-05T10:59:22Z","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/2311.03885/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider range minimization problems featuring exponentially many variables, as frequently arising in fairness-oriented or bi-objective optimization. While branch and price is successful at solving cost-oriented problems with many variables, the performance of classical branch-and-price algorithms for range minimization is drastically impaired by weak linear programming relaxations. We propose range branching, a generic branching rule that directly tackles this issue and can be used on top of problem-specific branching schemes. We show several desirable properties of range branching and sho","authors_text":"Andrea Lodi, Bart van Rossum, Rui Chen","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2023-11-07T10:59:25Z","title":"Efficient Branching Rules for Optimizing Range and Order-Based Objective Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.03885","kind":"arxiv","version":3},"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":"sha256:2a6697e2cbbae245728b7777e7fed88cc994fff8db5bc40c44dc0d6cc888710d","target":"record","created_at":"2026-07-05T10:59:22Z","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":"9379224c4f9e9cd0d56af4a025058e80df171df0edc78b1b02b90ef015522c29","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2023-11-07T10:59:25Z","title_canon_sha256":"cbb570da6393ce3e5a144a56185f87452c793ce7e3b0419090f5f1683c863cbc"},"schema_version":"1.0","source":{"id":"2311.03885","kind":"arxiv","version":3}},"canonical_sha256":"cf6f648ce8e67cb7c89c651fedd645a8fd79f3d81e6b4132c30174d3e10bb766","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf6f648ce8e67cb7c89c651fedd645a8fd79f3d81e6b4132c30174d3e10bb766","first_computed_at":"2026-07-05T10:59:22.708654Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:59:22.708654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"skAf2z0ztRKTbrosKHdQ9yiyar95Yukt6bKR0L4DrudsRYN0Ro8LGW3sQaISZ77ab1RuA/7kQjU/vbrqSLsfAg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:59:22.709149Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.03885","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a6697e2cbbae245728b7777e7fed88cc994fff8db5bc40c44dc0d6cc888710d","sha256:6a5baad44de5bd75dda04969f3bd3173869b71dfd6875eec00af42ffd0819084"],"state_sha256":"69797c0baa744ee71dd82833e6ca90656fa76bc362357bd6055c8821c133a082"}