{"as_of":"2026-08-19T15:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4767246b47ffe9dc89c15d01b34b4408f184c775f9bb929a0d9e89023923d756","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":7,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T11:54:16.289090Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-07T16:33:55.880442Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2002.07892","last_updated":"2021-03-05T23:52:05Z","snapshot_observed_at":"2026-08-19T05:44:58.568720Z","submitted_at":"2020-02-18T21:54:01Z","title":"Fair Clustering with Multiple Colors","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2002.07892","snapshot_observed_at":"2026-08-16T11:54:16.289090Z","title":"Fair clustering with multiple colors","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2504.14683","last_updated":"2025-08-01T04:12:22Z","snapshot_observed_at":"2026-08-17T23:40:20.982621Z","submitted_at":"2025-04-20T17:19:03Z","title":"Polynomial-Time Constant-Approximation for Fair Sum-of-Radii Clustering","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-16T11:54:16.289090Z"},"links":{"cited_paper":"/paper/2002.07892","citing_paper":"/paper/2504.14683"},"observation_digest":"sha256:05780e80f0dbd3e1f32977bc94f47ce4eaa8afdbdffa33b3a20d2b0dc3d1d47e","observation_id":"e178091d-4071-4810-917c-b30936128ad7","resolution":{"observed_at":"2026-08-16T11:54:16.289090Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2002.07892","last_updated":"2021-03-05T23:52:05Z","snapshot_observed_at":"2026-08-19T05:44:58.568720Z","submitted_at":"2020-02-18T21:54:01Z","title":"Fair Clustering with Multiple Colors","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2002.07892","snapshot_observed_at":"2026-08-07T14:28:33.284221Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2505.18919","last_updated":"2025-05-25T00:56:36Z","snapshot_observed_at":"2026-08-11T12:18:06.573143Z","submitted_at":"2025-05-25T00:56:36Z","title":"Fair-Count-Min: Frequency Estimation under Equal Group-wise Approximation Factor","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T14:28:33.284221Z"},"links":{"cited_paper":"/paper/2002.07892","citing_paper":"/paper/2505.18919"},"observation_digest":"sha256:5229322b3046c118355fdaa448135bf4756448629f2a19f6c8216ce2d0274414","observation_id":"97f5464d-ac38-4182-9f7a-d8ae52027c1b","resolution":{"observed_at":"2026-08-07T14:28:33.284221Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2002.07892","last_updated":"2021-03-05T23:52:05Z","snapshot_observed_at":"2026-08-19T05:44:58.568720Z","submitted_at":"2020-02-18T21:54:01Z","title":"Fair Clustering with Multiple Colors","version":2},"cited_work":{"arxiv_id":"2002.07892","doi":null,"metadata_source":"pith","pith_arxiv_id":"2002.07892","snapshot_observed_at":"2026-07-07T16:33:55.880442Z","title":"Fair clustering with multiple colors.CoRR, abs/2002.07892","venue":"cs.DS","work_id":"fe24eb83-2141-426d-a2f1-f3df538a6a0d","year":2020},"citing_paper":{"arxiv_id":"2602.05476","last_updated":"2026-04-24T11:47:11Z","snapshot_observed_at":"2026-07-06T22:44:37.993093Z","submitted_at":"2026-02-05T09:29:09Z","title":"FPT Approximations for Fair Sum of Radii with Outliers and General Norm Objectives","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-16T07:24:07.482157Z"},"links":{"cited_paper":"/paper/2002.07892","citing_paper":"/paper/2602.05476"},"observation_digest":"sha256:f1cfa0758d996d5eb64646f5622543ceb16deeb00b2aac9898ae2dd5b52207c0","observation_id":"fec82285-d980-4638-a190-761774d0c0f5","resolution":{"observed_at":"2026-05-16T07:27:31.741660Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2002.07892","last_updated":"2021-03-05T23:52:05Z","snapshot_observed_at":"2026-08-19T05:44:58.568720Z","submitted_at":"2020-02-18T21:54:01Z","title":"Fair Clustering with Multiple Colors","version":2},"cited_work":{"arxiv_id":"2002.07892","doi":null,"metadata_source":"pith","pith_arxiv_id":"2002.07892","snapshot_observed_at":"2026-07-07T16:33:55.880442Z","title":"Fair clustering with multiple colors.CoRR, abs/2002.07892","venue":"cs.DS","work_id":"fe24eb83-2141-426d-a2f1-f3df538a6a0d","year":2020},"citing_paper":{"arxiv_id":"2604.09522","last_updated":"2026-04-10T17:43:59Z","snapshot_observed_at":"2026-08-11T15:51:38.223711Z","submitted_at":"2026-04-10T17:43:59Z","title":"Packing Compact Subgraphs with Applications to Districting","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-10T16:41:07.789409Z"},"links":{"cited_paper":"/paper/2002.07892","citing_paper":"/paper/2604.09522"},"observation_digest":"sha256:257d74d5d94f3683cc518d36ca4c67ce49ab30b99b1a3656bd872a67ee7dcef4","observation_id":"2d0c3ad7-0c61-4d1d-a152-2b9aec13be4d","resolution":{"observed_at":"2026-05-11T08:21:01.211506Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2002.07892","last_updated":"2021-03-05T23:52:05Z","snapshot_observed_at":"2026-08-19T05:44:58.568720Z","submitted_at":"2020-02-18T21:54:01Z","title":"Fair Clustering with Multiple Colors","version":2},"cited_work":{"arxiv_id":"2002.07892","doi":null,"metadata_source":"pith","pith_arxiv_id":"2002.07892","snapshot_observed_at":"2026-07-07T16:33:55.880442Z","title":"Fair clustering with multiple colors.CoRR, abs/2002.07892","venue":"cs.DS","work_id":"fe24eb83-2141-426d-a2f1-f3df538a6a0d","year":2020},"citing_paper":{"arxiv_id":"2605.06398","last_updated":"2026-05-07T15:10:33Z","snapshot_observed_at":"2026-08-16T19:23:18.356276Z","submitted_at":"2026-05-07T15:10:33Z","title":"On the Parameterized Approximability of (Mergeable) Sum of Radii Clustering","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-08T05:47:36.257454Z"},"links":{"cited_paper":"/paper/2002.07892","citing_paper":"/paper/2605.06398"},"observation_digest":"sha256:82b0cae26d320df77447fb601fc28e4003733605f68d0b9dd7d5efa74c79b2a3","observation_id":"0a625870-0527-4768-94b7-ff8f8ec252f5","resolution":{"observed_at":"2026-05-11T21:21:13.220496Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2002.07892","last_updated":"2021-03-05T23:52:05Z","snapshot_observed_at":"2026-08-19T05:44:58.568720Z","submitted_at":"2020-02-18T21:54:01Z","title":"Fair Clustering with Multiple Colors","version":2},"cited_work":{"arxiv_id":"2002.07892","doi":null,"metadata_source":"pith","pith_arxiv_id":"2002.07892","snapshot_observed_at":"2026-07-07T16:33:55.880442Z","title":"Fair clustering with multiple colors.CoRR, abs/2002.07892","venue":"cs.DS","work_id":"fe24eb83-2141-426d-a2f1-f3df538a6a0d","year":2020},"citing_paper":{"arxiv_id":"2607.05342","last_updated":"2026-07-09T14:12:27Z","snapshot_observed_at":"2026-08-18T02:02:36.480517Z","submitted_at":"2026-07-06T17:23:55Z","title":"Exact ratio preservation via outliers for fair $k$-center clustering","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-07-07T16:25:21.788098Z"},"links":{"cited_paper":"/paper/2002.07892","citing_paper":"/paper/2607.05342"},"observation_digest":"sha256:24afcb6dacc899969ce5965a3b5bfb2142fbc7d404f8c5058cfb0741ce4b3346","observation_id":"561509ee-7c46-4880-82b7-51034d5121a1","resolution":{"observed_at":"2026-07-07T16:33:55.882070Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2002.07892","last_updated":"2021-03-05T23:52:05Z","snapshot_observed_at":"2026-08-19T05:44:58.568720Z","submitted_at":"2020-02-18T21:54:01Z","title":"Fair Clustering with Multiple Colors","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2002.07892","snapshot_observed_at":"2026-07-11T07:16:03.646537Z","title":"Fair Clustering with Multiple Colors , journal =","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.05342","last_updated":"2026-07-09T14:12:27Z","snapshot_observed_at":"2026-08-18T02:02:36.480517Z","submitted_at":"2026-07-06T17:23:55Z","title":"Exact ratio preservation via outliers for fair $k$-center clustering","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-07-11T07:16:03.646537Z"},"links":{"cited_paper":"/paper/2002.07892","citing_paper":"/paper/2607.05342"},"observation_digest":"sha256:dae9e3411eccf56c4f43b30eeb8c9d24ae9c68eaaa3b03098181f51af0053ef2","observation_id":"a6bbc912-4146-47a4-99c7-ec9fd64dd98d","resolution":{"observed_at":"2026-07-11T07:16:03.646537Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2002.07892/citation-record","integrity":"/paper/2002.07892/integrity","json":"/paper/2002.07892/citation-record.json","paper":"/paper/2002.07892"},"outbound":[],"paper":{"arxiv_id":"2002.07892","last_updated":"2021-03-05T23:52:05Z","latest_version":2,"primary_category":"cs.DS","snapshot_observed_at":"2026-08-19T05:44:58.568720Z","submitted_at":"2020-02-18T21:54:01Z","title":"Fair Clustering with Multiple Colors"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2002.07892."}