{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ZIX4VDFPTGOQ63OGE4VB5WYA3R","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":"ac364863247850c98f169c2f02e194d6a7a131c1085553afc8d692df4b532c8c","cross_cats_sorted":["cs.IR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DB","submitted_at":"2019-02-18T16:19:52Z","title_canon_sha256":"30eac80dec74647f23e0ed1fc7eeb919e72d31b658d41ab17d2b9a950e487f34"},"schema_version":"1.0","source":{"id":"1902.06743","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.06743","created_at":"2026-05-17T23:47:53Z"},{"alias_kind":"arxiv_version","alias_value":"1902.06743v2","created_at":"2026-05-17T23:47:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.06743","created_at":"2026-05-17T23:47:53Z"},{"alias_kind":"pith_short_12","alias_value":"ZIX4VDFPTGOQ","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"ZIX4VDFPTGOQ63OG","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"ZIX4VDFP","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:712cc9d2d7eb53442187e07b54c866b40f10af33b21aff133b7ee2d213aae46d","target":"graph","created_at":"2026-05-17T23:47:53Z","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"},"paper":{"abstract_excerpt":"Mining frequent patterns is plagued by the problem of pattern explosion making pattern reduction techniques a key challenge in pattern mining. In this paper we propose a novel theoretical framework for pattern reduction. We do this by measuring the robustness of a property of an itemset such as closedness or non-derivability. The robustness of a property is the probability that this property holds on random subsets of the original data. We study four properties: if an itemset is closed, free, non-derivable or totally shattered, and demonstrate how to compute the robustness analytically without","authors_text":"Fabian Moerchen, Nikolaj Tatti, Toon Calders","cross_cats":["cs.IR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DB","submitted_at":"2019-02-18T16:19:52Z","title":"Finding Robust Itemsets Under Subsampling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.06743","kind":"arxiv","version":2},"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":"sha256:19ee6dbc12d57a296da83a38674962326ed5cd7a69954b32c7f6edc62d27a633","target":"record","created_at":"2026-05-17T23:47:53Z","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":"ac364863247850c98f169c2f02e194d6a7a131c1085553afc8d692df4b532c8c","cross_cats_sorted":["cs.IR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DB","submitted_at":"2019-02-18T16:19:52Z","title_canon_sha256":"30eac80dec74647f23e0ed1fc7eeb919e72d31b658d41ab17d2b9a950e487f34"},"schema_version":"1.0","source":{"id":"1902.06743","kind":"arxiv","version":2}},"canonical_sha256":"ca2fca8caf999d0f6dc6272a1edb00dc693e4116c1eddab6598c023d3d17ffff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca2fca8caf999d0f6dc6272a1edb00dc693e4116c1eddab6598c023d3d17ffff","first_computed_at":"2026-05-17T23:47:53.733787Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:53.733787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Tc0akunK1y34qzDBidZtOaZpAEWjWKL6gz0ZTysQeJjrJIk4VVcs4f/bnSa0H7I1evtfa7fFg/K+fFX9UgkvBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:53.734327Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.06743","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:19ee6dbc12d57a296da83a38674962326ed5cd7a69954b32c7f6edc62d27a633","sha256:712cc9d2d7eb53442187e07b54c866b40f10af33b21aff133b7ee2d213aae46d"],"state_sha256":"fb11f609a116a89bcac783dd600e92e11d8e3957770ce769d20141c89b270477"}