{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:EGVLPLFPMFJYEROSEH3VXZN6UO","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":"1036f6b605d005a5b82bd5b2aa2dbbdb50279fd2ac3b864907595454d03cfa9a","cross_cats_sorted":["cs.AI","math.OC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-24T19:46:30Z","title_canon_sha256":"06cd09fa3824752a3cd1a49ce65941db5eac48e88e1c72421f417238748f5bf7"},"schema_version":"1.0","source":{"id":"2605.25235","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.25235","created_at":"2026-05-26T02:04:24Z"},{"alias_kind":"arxiv_version","alias_value":"2605.25235v1","created_at":"2026-05-26T02:04:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.25235","created_at":"2026-05-26T02:04:24Z"},{"alias_kind":"pith_short_12","alias_value":"EGVLPLFPMFJY","created_at":"2026-05-26T02:04:24Z"},{"alias_kind":"pith_short_16","alias_value":"EGVLPLFPMFJYEROS","created_at":"2026-05-26T02:04:24Z"},{"alias_kind":"pith_short_8","alias_value":"EGVLPLFP","created_at":"2026-05-26T02:04:24Z"}],"graph_snapshots":[{"event_id":"sha256:562ac2e1bb0ac090b0cad4c61da863b641d98737d49bf9cbeb00f686cba2f87c","target":"graph","created_at":"2026-05-26T02:04:24Z","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/2605.25235/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give an attribution method for neural combinatorial-optimisation (CO) policies that (i) decomposes a decision by constraint families via LP-relaxation duals, (ii) certifies counterfactuals through a combinatorial feasibility model (implemented as a CSP feasibility-decision model), and (iii) bounds the size of a PAC-sufficient explanation with a Bonferroni-corrected Hoeffding sufficient-subset test along a greedy ordering. Across three CO problems and three seeds, our LP-anchored $\\Lambda$-attribution matches the CF-derived signal at 96.5% on CVRPTW (n_cert=344) and 77.2% on the Orienteering","authors_text":"Sohaib Lafifi","cross_cats":["cs.AI","math.OC"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-24T19:46:30Z","title":"Constraint-Anchored Attribution: Feasibility-Certified Counterfactuals and Bonferroni-PAC Sufficient Subsets for Neural CO Policies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.25235","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:bbca8ea8dd8d02b51a6596e72df0f32cde6f503981a4a0eb477b552a4fe224f9","target":"record","created_at":"2026-05-26T02:04:24Z","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":"1036f6b605d005a5b82bd5b2aa2dbbdb50279fd2ac3b864907595454d03cfa9a","cross_cats_sorted":["cs.AI","math.OC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-24T19:46:30Z","title_canon_sha256":"06cd09fa3824752a3cd1a49ce65941db5eac48e88e1c72421f417238748f5bf7"},"schema_version":"1.0","source":{"id":"2605.25235","kind":"arxiv","version":1}},"canonical_sha256":"21aab7acaf61538245d221f75be5bea39129cd78e6a4ee6b9c783949c84568ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"21aab7acaf61538245d221f75be5bea39129cd78e6a4ee6b9c783949c84568ac","first_computed_at":"2026-05-26T02:04:24.481198Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T02:04:24.481198Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8T7uRvUZi/n0WJW8hVBjtJVawohCv4zgr7G5CdzXioeGnU1Zwkgasdlq63/67IH0JUylAS+SP0u7FdEtidFgAg==","signature_status":"signed_v1","signed_at":"2026-05-26T02:04:24.481985Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.25235","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bbca8ea8dd8d02b51a6596e72df0f32cde6f503981a4a0eb477b552a4fe224f9","sha256:562ac2e1bb0ac090b0cad4c61da863b641d98737d49bf9cbeb00f686cba2f87c"],"state_sha256":"f917a24606acaa21d9cae030a84b8f39fc6bdd0f8cc3f2f6f0524eee888c3bf5"}