{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:KO6FD4LP2JEPWDXM5JH4BN7CVG","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":"f78e5c42fed6a9ddb6b4a3ffd2f36bd4734bd72dac824e9adbb5a460064dae07","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2024-08-26T12:41:41Z","title_canon_sha256":"117c33c19e70287b8dbc6c298173d47354c2724711b826c4feda8ee471bc4063"},"schema_version":"1.0","source":{"id":"2408.14225","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.14225","created_at":"2026-07-05T10:29:22Z"},{"alias_kind":"arxiv_version","alias_value":"2408.14225v2","created_at":"2026-07-05T10:29:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.14225","created_at":"2026-07-05T10:29:22Z"},{"alias_kind":"pith_short_12","alias_value":"KO6FD4LP2JEP","created_at":"2026-07-05T10:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"KO6FD4LP2JEPWDXM","created_at":"2026-07-05T10:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"KO6FD4LP","created_at":"2026-07-05T10:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:cbbac20a39c200ad9e0021d768bd0d58654b2209e2879706674cfa6fef4817c4","target":"graph","created_at":"2026-07-05T10:29:22Z","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/2408.14225/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We suggest efficient and provable methods to compute an approximation for imbalanced point clustering, that is, fitting $k$-centers to a set of points in $\\mathbb{R}^d$, for any $d,k\\geq 1$. To this end, we utilize \\emph{coresets}, which, in the context of the paper, are essentially weighted sets of points in $\\mathbb{R}^d$ that approximate the fitting loss for every model in a given set, up to a multiplicative factor of $1\\pm\\varepsilon$. We provide [Section 3 and Section E in the appendix] experiments that show the empirical contribution of our suggested methods for real images (novel and re","authors_text":"Dan Feldman, David Denisov, Michael Segal, Shlomi Dolev","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2024-08-26T12:41:41Z","title":"Provable Imbalanced Point Clustering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.14225","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":"sha256:2ea283b35954ee1e2fddfa3d47fa009c66fa506973487201dcb74c10af566faf","target":"record","created_at":"2026-07-05T10:29:22Z","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":"f78e5c42fed6a9ddb6b4a3ffd2f36bd4734bd72dac824e9adbb5a460064dae07","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2024-08-26T12:41:41Z","title_canon_sha256":"117c33c19e70287b8dbc6c298173d47354c2724711b826c4feda8ee471bc4063"},"schema_version":"1.0","source":{"id":"2408.14225","kind":"arxiv","version":2}},"canonical_sha256":"53bc51f16fd248fb0eecea4fc0b7e2a9a531c3385674b8950c9feefa92c4c9ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53bc51f16fd248fb0eecea4fc0b7e2a9a531c3385674b8950c9feefa92c4c9ce","first_computed_at":"2026-07-05T10:29:22.223412Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:29:22.223412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d3b/YqILxXo07vn64nUq5ggztcvgJDtyJT81C5f4q9Ga6bz+Qa+Nk98olbCdLyexF9sei920kMRdDcD7kpWMCA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:29:22.223944Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.14225","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ea283b35954ee1e2fddfa3d47fa009c66fa506973487201dcb74c10af566faf","sha256:cbbac20a39c200ad9e0021d768bd0d58654b2209e2879706674cfa6fef4817c4"],"state_sha256":"18ea957d4fd720c2356f91a80450fa30405ca35b1699b368ded2754d75559f89"}