{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:MLWCTZCCYEN3UUPLVQ7DVD5FSB","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":"d6e132ae5f054143fc596c137b81c95e5e6a5db5ac1700f22b2532483271e25b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2025-05-25T00:56:36Z","title_canon_sha256":"995ac297f1077586b5dbd80fa82959acc5cc387e285ced2d8dee4bdcfdc941b1"},"schema_version":"1.0","source":{"id":"2505.18919","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.18919","created_at":"2026-07-05T11:09:21Z"},{"alias_kind":"arxiv_version","alias_value":"2505.18919v1","created_at":"2026-07-05T11:09:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.18919","created_at":"2026-07-05T11:09:21Z"},{"alias_kind":"pith_short_12","alias_value":"MLWCTZCCYEN3","created_at":"2026-07-05T11:09:21Z"},{"alias_kind":"pith_short_16","alias_value":"MLWCTZCCYEN3UUPL","created_at":"2026-07-05T11:09:21Z"},{"alias_kind":"pith_short_8","alias_value":"MLWCTZCC","created_at":"2026-07-05T11:09:21Z"}],"graph_snapshots":[{"event_id":"sha256:c4d0ea230506543a6acbe316959e69f2e09b612fbdbf3c38a4f763bea4ba373c","target":"graph","created_at":"2026-07-05T11:09:21Z","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/2505.18919/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Frequency estimation in streaming data often relies on sketches like Count-Min (CM) to provide approximate answers with sublinear space. However, CM sketches introduce additive errors that disproportionately impact low-frequency elements, creating fairness concerns across different groups of elements. We introduce Fair-Count-Min, a frequency estimation sketch that guarantees equal expected approximation factors across element groups, thus addressing the unfairness issue. We propose a column partitioning approach with group-aware semi-uniform hashing to eliminate collisions between elements fro","authors_text":"Abolfazl Asudeh, Nima Shahbazi, Stavros Sintos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2025-05-25T00:56:36Z","title":"Fair-Count-Min: Frequency Estimation under Equal Group-wise Approximation Factor"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.18919","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:fa3ba1f1c78561e3055f5ba144650f58965d3a1a20a73e9347d6d4443203d13f","target":"record","created_at":"2026-07-05T11:09:21Z","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":"d6e132ae5f054143fc596c137b81c95e5e6a5db5ac1700f22b2532483271e25b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2025-05-25T00:56:36Z","title_canon_sha256":"995ac297f1077586b5dbd80fa82959acc5cc387e285ced2d8dee4bdcfdc941b1"},"schema_version":"1.0","source":{"id":"2505.18919","kind":"arxiv","version":1}},"canonical_sha256":"62ec29e442c11bba51ebac3e3a8fa59041c22059de9d1f95cbbd26bede3e461f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"62ec29e442c11bba51ebac3e3a8fa59041c22059de9d1f95cbbd26bede3e461f","first_computed_at":"2026-07-05T11:09:21.804943Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:09:21.804943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7LL4SgVrwN8dlZZjiNcfuj//ffXWrj0vw9cqyrHsUjl+tj/AG+mE24DzJ10y8U9UYyR2G1J40steF/oDAxF5Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:09:21.805628Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.18919","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa3ba1f1c78561e3055f5ba144650f58965d3a1a20a73e9347d6d4443203d13f","sha256:c4d0ea230506543a6acbe316959e69f2e09b612fbdbf3c38a4f763bea4ba373c"],"state_sha256":"c45721b84062d6a939514bd173d3de7e4001bec8a31fff6e32b8a1a26294ef31"}