{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:YUJBBED56YIJME7KDUNDVNZAVK","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":"b1335968531ebacc00e3acb21106a99c11075a1a79a73f0cdb7f4dc1a67eb07f","cross_cats_sorted":["cs.CG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-02-05T20:14:33Z","title_canon_sha256":"770356d8888d21eabead51d83d2fcdf50716e3ee903e77bb91eb2b109fe7f708"},"schema_version":"1.0","source":{"id":"1902.01896","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.01896","created_at":"2026-05-17T23:47:50Z"},{"alias_kind":"arxiv_version","alias_value":"1902.01896v2","created_at":"2026-05-17T23:47:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.01896","created_at":"2026-05-17T23:47:50Z"},{"alias_kind":"pith_short_12","alias_value":"YUJBBED56YIJ","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"YUJBBED56YIJME7K","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"YUJBBED5","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:1326b01733037b3f1f4effa6dfd3dcb645229bedb412c01dfaac3f09cd444e5c","target":"graph","created_at":"2026-05-17T23:47:50Z","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":"A set of points $P$ in a metric space and a constant integer $k$ are given. The $k$-center problem finds $k$ points as centers among $P$, such that the maximum distance of any point of $P$ to their closest centers $(r)$ is minimized.\n  Doubling metrics are metric spaces in which for any $r$, a ball of radius $r$ can be covered using a constant number of balls of radius $r/2$. Fixed dimensional Euclidean spaces are doubling metrics. The lower bound on the approximation factor of $k$-center is $1.822$ in Euclidean spaces, however, $(1+\\epsilon)$-approximation algorithms with exponential dependen","authors_text":"Mohammad Ghodsi, Sepideh Aghamolaei","cross_cats":["cs.CG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-02-05T20:14:33Z","title":"A Composable Coreset for k-Center in Doubling Metrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.01896","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:aaa565540e4271c2e4a02e51884b40c824719a77d4313d0f9528895ecfa2d673","target":"record","created_at":"2026-05-17T23:47:50Z","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":"b1335968531ebacc00e3acb21106a99c11075a1a79a73f0cdb7f4dc1a67eb07f","cross_cats_sorted":["cs.CG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-02-05T20:14:33Z","title_canon_sha256":"770356d8888d21eabead51d83d2fcdf50716e3ee903e77bb91eb2b109fe7f708"},"schema_version":"1.0","source":{"id":"1902.01896","kind":"arxiv","version":2}},"canonical_sha256":"c51210907df6109613ea1d1a3ab720aab4396dc6507c9f2736c60e9e9aab6a64","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c51210907df6109613ea1d1a3ab720aab4396dc6507c9f2736c60e9e9aab6a64","first_computed_at":"2026-05-17T23:47:50.680038Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:50.680038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PFRTsJmAsGS9+FvrJt57PGlhYG+8er+ESiOC6fcCBRoHulCuohJ4qv7TpvxudqYqpQ6rs5pbhbOYYK7+1kIgBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:50.680579Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.01896","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aaa565540e4271c2e4a02e51884b40c824719a77d4313d0f9528895ecfa2d673","sha256:1326b01733037b3f1f4effa6dfd3dcb645229bedb412c01dfaac3f09cd444e5c"],"state_sha256":"ed24dc5e7702e12d9678d8eaddbcd2bbf40a6ca587d69e2c22a8fb434d872c14"}