{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:ZLTNM5SH5BUVFP34AW6VHQZY4O","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":"988b3aebfcba025c9f7562153898f25633bfe64c51ee560a8163ab3343d7b95b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2020-04-30T15:45:21Z","title_canon_sha256":"b01744bfbb436288f4b66d0325938e3322bfdca3b0d0466de7c83f3dd451a458"},"schema_version":"1.0","source":{"id":"2004.14891","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.14891","created_at":"2026-07-05T01:38:18Z"},{"alias_kind":"arxiv_version","alias_value":"2004.14891v3","created_at":"2026-07-05T01:38:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.14891","created_at":"2026-07-05T01:38:18Z"},{"alias_kind":"pith_short_12","alias_value":"ZLTNM5SH5BUV","created_at":"2026-07-05T01:38:18Z"},{"alias_kind":"pith_short_16","alias_value":"ZLTNM5SH5BUVFP34","created_at":"2026-07-05T01:38:18Z"},{"alias_kind":"pith_short_8","alias_value":"ZLTNM5SH","created_at":"2026-07-05T01:38:18Z"}],"graph_snapshots":[{"event_id":"sha256:6781c7a639a8105eb7ecb5c23b5a3a7cdf169e1f2a9d158ab461845113888ae6","target":"graph","created_at":"2026-07-05T01:38:18Z","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/2004.14891/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"With input sizes becoming massive, coresets -- small yet representative summary of the input -- are relevant more than ever. A weighted set $C_w$ that is a subset of the input is an $\\varepsilon$-coreset if the cost of any feasible solution $S$ with respect to $C_w$ is within $[1 {\\pm} \\varepsilon]$ of the cost of $S$ with respect to the original input. We give a very general technique to compute coresets in the fully-dynamic setting where input points can be added or deleted. Given a static $\\varepsilon$-coreset algorithm that runs in time $t(n, \\varepsilon, \\lambda)$ and computes a coreset o","authors_text":"Monika Henzinger, Sagar Kale","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2020-04-30T15:45:21Z","title":"Fully-Dynamic Coresets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.14891","kind":"arxiv","version":3},"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:f2efb4cef84f90e382f9e4e5d8e539aac16f6c2b30e313cad2cf9ae981f380d8","target":"record","created_at":"2026-07-05T01:38:18Z","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":"988b3aebfcba025c9f7562153898f25633bfe64c51ee560a8163ab3343d7b95b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2020-04-30T15:45:21Z","title_canon_sha256":"b01744bfbb436288f4b66d0325938e3322bfdca3b0d0466de7c83f3dd451a458"},"schema_version":"1.0","source":{"id":"2004.14891","kind":"arxiv","version":3}},"canonical_sha256":"cae6d67647e86952bf7c05bd53c338e3a21d98c92f68118d477d9cf02410e918","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cae6d67647e86952bf7c05bd53c338e3a21d98c92f68118d477d9cf02410e918","first_computed_at":"2026-07-05T01:38:18.233663Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:38:18.233663Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dsYzNxRCSAspUlYojdex6Rua+6vb+MxeKhNR587E7DzcRZWnv+zMQmaN3eKdTaj8FABI3MVOz24gdPOnCnItCg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:38:18.234142Z","signed_message":"canonical_sha256_bytes"},"source_id":"2004.14891","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2efb4cef84f90e382f9e4e5d8e539aac16f6c2b30e313cad2cf9ae981f380d8","sha256:6781c7a639a8105eb7ecb5c23b5a3a7cdf169e1f2a9d158ab461845113888ae6"],"state_sha256":"612cba2d4f76dfad7c107ac4d22c0f8cf2dc3c8a5ad8175531c81d8e906e7d99"}