{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:IDZEU7M6QKKOFJZSCHU44U4DYL","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":"2f0b373f5d3fc4c78243396907e86492a0fdcf796411298de5872a318e06267c","cross_cats_sorted":["cs.DB"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-04-30T12:49:54Z","title_canon_sha256":"b80ba14f721892fd7035eb0604ba2728cd7ca404819a4923ce8250395bb48665"},"schema_version":"1.0","source":{"id":"2404.19519","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.19519","created_at":"2026-07-05T08:13:44Z"},{"alias_kind":"arxiv_version","alias_value":"2404.19519v1","created_at":"2026-07-05T08:13:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.19519","created_at":"2026-07-05T08:13:44Z"},{"alias_kind":"pith_short_12","alias_value":"IDZEU7M6QKKO","created_at":"2026-07-05T08:13:44Z"},{"alias_kind":"pith_short_16","alias_value":"IDZEU7M6QKKOFJZS","created_at":"2026-07-05T08:13:44Z"},{"alias_kind":"pith_short_8","alias_value":"IDZEU7M6","created_at":"2026-07-05T08:13:44Z"}],"graph_snapshots":[{"event_id":"sha256:af5092dcd38ced0f74b63c523e731406ce178d2b5467b09a6af984f6cbec538d","target":"graph","created_at":"2026-07-05T08:13:44Z","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/2404.19519/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper introduces a new class of explanation structures, called robust counterfactual witnesses (RCWs), to provide robust, both counterfactual and factual explanations for graph neural networks. Given a graph neural network M, a robust counterfactual witness refers to the fraction of a graph G that are counterfactual and factual explanation of the results of M over G, but also remains so for any \"disturbed\" G by flipping up to k of its node pairs. We establish the hardness results, from tractable results to co-NP-hardness, for verifying and generating robust counterfactual witnesses. We st","authors_text":"Arijit Khan, Dazhuo Qiu, Mengying Wang, Yinghui Wu","cross_cats":["cs.DB"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-04-30T12:49:54Z","title":"Generating Robust Counterfactual Witnesses for Graph Neural Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.19519","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":"sha256:3e1576eb596954a8b1bcc5f9c4ef8d0bdb6d7273552db8c06ec3abf30cc60bcc","target":"record","created_at":"2026-07-05T08:13:44Z","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":"2f0b373f5d3fc4c78243396907e86492a0fdcf796411298de5872a318e06267c","cross_cats_sorted":["cs.DB"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-04-30T12:49:54Z","title_canon_sha256":"b80ba14f721892fd7035eb0604ba2728cd7ca404819a4923ce8250395bb48665"},"schema_version":"1.0","source":{"id":"2404.19519","kind":"arxiv","version":1}},"canonical_sha256":"40f24a7d9e8294e2a73211e9ce5383c2c747fe62499b89cb66600fd15400f701","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40f24a7d9e8294e2a73211e9ce5383c2c747fe62499b89cb66600fd15400f701","first_computed_at":"2026-07-05T08:13:44.629338Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:13:44.629338Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f/df8zV0JqqzqixuCoNk27enP62gnG9RmAXx2ncmL81+LScvEw1hpSeCFa9alWUMag63GrkIgjbraH/Ff0PyBw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:13:44.629972Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.19519","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e1576eb596954a8b1bcc5f9c4ef8d0bdb6d7273552db8c06ec3abf30cc60bcc","sha256:af5092dcd38ced0f74b63c523e731406ce178d2b5467b09a6af984f6cbec538d"],"state_sha256":"476284f9e920cd628dfefd8c5879c43f1e0828802b678998b79227247cfcdc41"}