{"as_of":"2026-08-08T09:15:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0be28c17c5d6b94726ff9cd4b4d09bf7fe750234ad9c5fcbb4d433fec9a911cb","coverage":[{"denominator":51,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":51,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T05:56:39.658764Z","state":"measured"},{"denominator":51,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":51,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2506.06990/citation-record","integrity":"/paper/2506.06990/integrity","json":"/paper/2506.06990/citation-record.json","paper":"/paper/2506.06990"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:39.429880Z","title":"write newline","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.429880Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:5796955a860197bf3803c961ceb7ae58b2dfd4311754688d4e2f54c61bb347bc","observation_id":"a5860d0d-0040-4b3a-91eb-96b3c2b7c74f","resolution":{"observed_at":"2026-08-07T05:56:39.429880Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.394543Z","title":null,"venue":null,"work_id":"982529bc-27e9-4772-9df4-109f82238a79","year":2009},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.436299Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:f2601e17471beb1496f2394d57cef49ad165275a63e9a94241a5b1bf1596f676","observation_id":"3139eec8-0195-45f0-9458-2cdcafafdf3d","resolution":{"observed_at":"2026-08-07T05:56:40.398616Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.380936Z","title":"NP-hardness of Euclidean sum-of-squares clustering","venue":null,"work_id":"05916071-4f14-4c4a-bf42-075b13a9fd44","year":2009},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.441023Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:4bd2bd46266c2836e701b035fa64b18110abaf824b5bf8c9922d4c2291227a71","observation_id":"3f2d8f4f-0e4d-411d-a4f5-6bdc806c13b2","resolution":{"observed_at":"2026-08-07T05:56:40.385384Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.367028Z","title":"and Vassilvitskii, S","venue":null,"work_id":"45ef28ec-a35c-4058-9cbc-b6d4867d7562","year":2006},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.446086Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:e99f0bc30299ffe4502476f75f5cf542655756709fcd74e8624de818afdbd6bd","observation_id":"19c91612-35fa-48a8-8062-8890be24bd19","resolution":{"observed_at":"2026-08-07T05:56:40.371832Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.354059Z","title":"F., Dick, T., and White, C","venue":null,"work_id":"478ed52f-27b7-4bee-aea0-e3ddad1b8dc4","year":2018},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.450888Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:e0b0adc63d52c0b1ed5b4b6f7ecc8a1ed4c68fefac5033fea5a0d6917a50af59","observation_id":"26dce8c0-5675-45b5-ae2d-4f800a8d8fe8","resolution":{"observed_at":"2026-08-07T05:56:40.358289Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.339866Z","title":"S., Ghosh, J., and Lafferty, J","venue":null,"work_id":"8320df16-3bdc-4044-81ae-4ee5d03f5820","year":2005},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.455880Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:3c66fb67a15bbe89faf61dfa419e04afcb3af17818115105de6699b1c678e44c","observation_id":"cbcfed33-77de-498b-9406-91d11c45b6a6","resolution":{"observed_at":"2026-08-07T05:56:40.344018Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.326169Z","title":"Toward Live Drum Separation Using Probabilistic Spectral Clustering Based on the Itakura-Saito Divergence","venue":null,"work_id":"4b38458d-66f5-4abb-8036-4f7f07401543","year":2012},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.460416Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:78998dc95dd539814890ce80a262dcf4f4ec65f6e99670054799c09d3e31db12","observation_id":"73e2a3a4-d95d-4ea3-a6f5-e48e0f5f37bd","resolution":{"observed_at":"2026-08-07T05:56:40.330550Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.312359Z","title":"H., Bolte, J., and Teboulle, M","venue":null,"work_id":"8939b2ab-9c83-4b9d-addc-4b186aff530d","year":2016},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.465422Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:f1942bd21a450cba7e06b6005d58a0bb1aaca280ab08e7cd1872905d2968327d","observation_id":"4f841045-66f8-433a-878f-8e02ed2528a4","resolution":{"observed_at":"2026-08-07T05:56:40.316836Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.297923Z","title":"S., Sherali, H","venue":null,"work_id":"f1c6f40e-b126-4b0c-a137-92020b4bca26","year":2006},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.470021Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:d4baaf1749eae041372d360e163a97a297b586269cf26ca6069fa1c4363180aa","observation_id":"2cd7da7f-8ad7-4578-98b9-da0aa93ef8dd","resolution":{"observed_at":"2026-08-07T05:56:40.302248Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.283795Z","title":null,"venue":null,"work_id":"f0c2735e-a3d5-460d-8313-e65291d11300","year":1995},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.474454Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:3eeb866977443822d16b888fba64618ebd217b096bba9d84337bada8b68309fa","observation_id":"c1ce65a9-1103-4466-94e2-d0a1a4c8c91e","resolution":{"observed_at":"2026-08-07T05:56:40.288301Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1601.02213","last_updated":"2016-01-10T13:17:46Z","snapshot_observed_at":"2026-07-06T04:42:22.335935Z","submitted_at":"2016-01-10T13:17:46Z","title":"On Clustering Time Series Using Euclidean Distance and Pearson Correlation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1601.02213","snapshot_observed_at":"2026-08-07T05:56:39.478914Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.478914Z"},"links":{"cited_paper":"/paper/1601.02213","citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:ec9befd8432eed4c432e18993bd23cf1f998e3129ce4fa0f853f2f8c75f9f6e6","observation_id":"4fb9551e-b195-4f9f-916d-4bfcbdc8cf65","resolution":{"observed_at":"2026-08-07T05:56:39.478914Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.269460Z","title":"Application of learning analytics using clustering data Mining for Students’ disposition analysis","venue":null,"work_id":"5d3e5757-118a-4a15-8bf1-f9492116a727","year":2018},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.484262Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:0036dce3e17930126df337fc24016eb283ad33d1de135e85c2cd2edb0a54a582","observation_id":"d2a6b1e2-2ee1-49b3-a88d-8a6fa3b4db4a","resolution":{"observed_at":"2026-08-07T05:56:40.274204Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.254974Z","title":null,"venue":null,"work_id":"350f8fe0-01fb-4a78-86a2-ac528a71b2d5","year":1967},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.489070Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:03fc89a70e671d50ae4e226e75bcc17df0ed6e63b99411009375b8cab28189f0","observation_id":"fe291202-bd60-4f86-9d6b-669a54c282de","resolution":{"observed_at":"2026-08-07T05:56:40.260293Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.241829Z","title":"O., Chiang, M","venue":null,"work_id":"10573239-3761-40bd-b39b-ef081630caa7","year":2022},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.493217Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:2cd1566bbf443d5fc82b61f4ab2b129958eccbf44601cf13b2fd5da10d67dc8c","observation_id":"8d759a10-4e22-40c3-80f6-6416427328fa","resolution":{"observed_at":"2026-08-07T05:56:40.246126Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.228297Z","title":null,"venue":null,"work_id":"6444758e-56f5-4230-94ae-a73dc15ec5b5","year":2017},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.497773Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:19923629ba9403e79aa18b1f50d98177ae91072076cacca4d9a6e9f801f7db52","observation_id":"9c038778-3769-47da-8034-4cea96eaa56b","resolution":{"observed_at":"2026-08-07T05:56:40.232824Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.214782Z","title":"and Gionis, A","venue":null,"work_id":"a095c7cc-a15d-4d65-a412-c8f06bab7565","year":2013},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.502104Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:3f622cff93b6264ac016ee33363d006bae35adf318697fe90db8ca213b3207d6","observation_id":"bbb81200-e578-4df1-9912-35096984474a","resolution":{"observed_at":"2026-08-07T05:56:40.219010Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.200465Z","title":"Modeling wine preferences by data mining from physicochemical properties","venue":null,"work_id":"a85374db-fe5d-4e2a-af6e-ea3672a2af1e","year":2009},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.506769Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:8ca224f17f362e330eb30f5ea751c6085fb63f6997c4e771dfe52cf404553d57","observation_id":"8e736355-c6ff-4984-87ee-cd48663909c2","resolution":{"observed_at":"2026-08-07T05:56:40.205087Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.186775Z","title":"Visual Categorization with Bags of Keypoints","venue":null,"work_id":"d30b46ff-2cee-40a2-ad79-0a59c7300d91","year":2004},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.511163Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:ddae5c6580e491a9b32eaa8bbc6a248fe96ba9598fd863b80a0ce84b09bf998d","observation_id":"43703509-b582-46fd-834b-d19e47cdf563","resolution":{"observed_at":"2026-08-07T05:56:40.191185Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.172875Z","title":"S., Mallela, S., and Kumar, R","venue":null,"work_id":"4becaf2e-0f0b-46b1-aeb8-eab67238d140","year":2003},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.515714Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:353bf59651d0ea5e8afdf3c196a377736f20dfcefc7ec1ee1d4e240c27a15806","observation_id":"1dc73e3d-2583-44b3-b119-af106bac206a","resolution":{"observed_at":"2026-08-07T05:56:40.177308Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.159460Z","title":"and Nielsen, F","venue":null,"work_id":"ba31ea03-41e2-4542-a5fe-aaa3c3c0d3cf","year":2023},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.520635Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:c2175863f0bba6a9f459d5dd7acc12d9abcab5f2c4004efad0ef51796a169701","observation_id":"d654de51-f59a-4282-86b0-ce0946cbbd2e","resolution":{"observed_at":"2026-08-07T05:56:40.163809Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.145240Z","title":"Using the Triangle Inequality to Accelerate k-Means","venue":null,"work_id":"bbdeb461-975e-4293-b78c-8b7d8672935a","year":2003},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.525853Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:1be0eba4e11316ef042a5a63439aa84ac0b91e4b2cff6523ccb242ac6dd2a637","observation_id":"e80b8d68-1463-4897-b70c-cc0629f7c3b2","resolution":{"observed_at":"2026-08-07T05:56:40.150263Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.130878Z","title":null,"venue":null,"work_id":"b718065b-d578-4416-acac-42fc86b2ac31","year":1936},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.530318Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:3ec40469d348bd9b7ff38e78aefd3bf651c3e16faa3e3384fd4f63353c2f185f","observation_id":"0c6ebc82-5fe0-4ebc-b55f-5c63b5681759","resolution":{"observed_at":"2026-08-07T05:56:40.135397Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1701.07204","last_updated":"2018-04-25T10:36:08Z","snapshot_observed_at":"2026-07-06T05:27:28.065927Z","submitted_at":"2017-01-25T08:44:04Z","title":"Fast Exact k-Means, k-Medians and Bregman Divergence Clustering in 1D","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1701.07204","snapshot_observed_at":"2026-08-07T05:56:39.535012Z","title":"G., Mathiasen, A., Nielsen, J","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.535012Z"},"links":{"cited_paper":"/paper/1701.07204","citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:646000f4b81304512e2d15f04d492f62a935a8ed8b22483a936bb2a2b029722d","observation_id":"0da92f85-e831-4fd6-8101-65e204c535ca","resolution":{"observed_at":"2026-08-07T05:56:39.535012Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.116848Z","title":"and Rozho n , V","venue":null,"work_id":"58d88d91-aced-44cd-88bf-a4f6a6065975","year":2022},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.540125Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:758078ef2835f5a57ddfde1df59eb766a729b9dd3006c13bdfb4edf551cdb8fe","observation_id":"192f2cc3-2208-4f31-8bd9-09ff5514a47c","resolution":{"observed_at":"2026-08-07T05:56:40.121329Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.103529Z","title":"and Elkan, C","venue":null,"work_id":"e3ceac22-b632-4b5a-87fd-ff99a4451df5","year":2003},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.544701Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:613590f75a9cc8aa82286a62f8875465a3e4d53beca569b9e6f4b9f0cb380867","observation_id":"fd4d5f96-a3b2-48ee-b4a1-3320fce67a09","resolution":{"observed_at":"2026-08-07T05:56:40.107735Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.090200Z","title":null,"venue":null,"work_id":"6cb6f563-80d0-473b-9bcf-9424369c5c6d","year":2016},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.549147Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:2e40890a634c960738c68fd4e55ea4a5b7ebb189bab16c8454f8b56c8dad587d","observation_id":"810e1593-5768-4c1a-88c8-71a816d96f29","resolution":{"observed_at":"2026-08-07T05:56:40.094688Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.076915Z","title":"and Saito, S","venue":null,"work_id":"6ede027c-3e98-41a9-b35c-d25312c39212","year":1968},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.554573Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:54d9f620488dc1dbfefa2927c4ce1699eeba3cd8af2df17714ca3f1d4e406f74","observation_id":"40488ba4-46fe-4dd1-b2e1-07668bc81463","resolution":{"observed_at":"2026-08-07T05:56:40.081213Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.062603Z","title":null,"venue":null,"work_id":"3244c34e-80d4-40db-933d-43a19cca05d3","year":2010},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.559997Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:01eaa1c47f425f18e0b011e81cd62b66d97a1934f9bb94a4046c19f305621fa0","observation_id":"175f4844-99ef-491a-8125-25f347d79887","resolution":{"observed_at":"2026-08-07T05:56:40.067101Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.048498Z","title":"M., Netanyahu, N","venue":null,"work_id":"c9a494dc-d37c-4d1b-9fd7-c1872027fa73","year":2004},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.564596Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:0dd52e71d09146fa48a6e71a482f29b9a71518debc9cdd97f80f0c6cf79a91d0","observation_id":"d6f02f16-4dd8-4151-a481-304216fc7f27","resolution":{"observed_at":"2026-08-07T05:56:40.053105Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.033785Z","title":null,"venue":null,"work_id":"4c667b20-8685-41ca-8e13-e95b21ad180e","year":2024},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.569070Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:668ae6a8d5b2fff4a6951ac6eae168a847578f5e94f4f87c1a1e16a2859a0f75","observation_id":"e0d92309-ad37-49e8-b852-0a1b1b84c6b5","resolution":{"observed_at":"2026-08-07T05:56:40.038680Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.020012Z","title":"and Leibler, R","venue":null,"work_id":"2641a619-c4cd-4180-a097-6b81e2ff1b65","year":1951},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.573252Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:07eed68157eff435bb2c199f05f9565c8ffa0410c1c7ec92ebbc20a548593d54","observation_id":"cbab3833-9ab6-4df5-929a-112c20e781c5","resolution":{"observed_at":"2026-08-07T05:56:40.024535Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:40.005937Z","title":"An Algorithm for Vector Quantizer Design","venue":null,"work_id":"f839f497-5cdc-4b9b-a3b6-652e404fe337","year":1980},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.577642Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:dd08dee36fb02faf9246f3a1a8f97cfe8b782791c79987a9e4ab5af90a862428","observation_id":"73c43e7d-b767-454a-a93c-fb36f3c28dc8","resolution":{"observed_at":"2026-08-07T05:56:40.010494Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:39.990426Z","title":"and Shih, Y.-Y","venue":null,"work_id":"e0dfbe2c-d9a4-4541-b78f-809eb73f6354","year":2005},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.581906Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:3bcde49409dcf595ff959ab99e30d3c8c61e819652a0675358a87e7f66343095","observation_id":"314d1fb4-2c97-4a61-9671-d240e628a6e2","resolution":{"observed_at":"2026-08-07T05:56:39.995383Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:39.976438Z","title":"Least squares quantization in PCM","venue":null,"work_id":"9ea7b0b7-5f2c-49cf-ab3a-74d40482c696","year":1982},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.586208Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:3f7879bbef1792276aa8f86f3bb9330c514e9b8089b8fdf1a9331b48eb50cd6f","observation_id":"a52e73d2-1dbe-476b-9411-4b58f8a37648","resolution":{"observed_at":"2026-08-07T05:56:39.981158Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:39.962610Z","title":null,"venue":null,"work_id":"93444efc-f629-4ab1-9429-8eeb3a37c31b","year":2019},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.590719Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:d1153100e82948158400c18d0159fb2cad2dab1bd8c05e6610ffdd1050670f3c","observation_id":"96959e81-d3d0-40bc-86f1-8f118c160ad0","resolution":{"observed_at":"2026-08-07T05:56:39.967029Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:39.948110Z","title":"V., Tolledo, D., Machado, J., Baptista, L","venue":null,"work_id":"53bfb587-5b12-47f8-bea4-976054917040","year":2021},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.595022Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:936b72023e1cbef9b6b9f57c95325f91e4f335fcfaebe9c4f48d3319e1227201","observation_id":"0c972360-6929-4890-8336-bd9092176789","resolution":{"observed_at":"2026-08-07T05:56:39.952702Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:39.933253Z","title":"Student Engagement Level in e-Learning Environment: Clustering Using K-means","venue":null,"work_id":"c02e577c-9140-4df9-84c9-92509c2606dd","year":2020},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.599018Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:2b56d3d7b649859f045ae37959ca65e67898d1c27d4e629f6a35a04395dca0d5","observation_id":"019a7077-9901-4e2e-8760-3fc18ff8df3a","resolution":{"observed_at":"2026-08-07T05:56:39.938702Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:39.919396Z","title":"and Kanehisa, M","venue":null,"work_id":"acc230b7-f5b3-40e8-afab-4af292356ae1","year":1991},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.603458Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:201732ed2cd3993073232cf697d3b16ac0ec8e1ac426150255958dde52f837ed","observation_id":"e3fbc128-1a83-4833-afa7-fcbfe0962e08","resolution":{"observed_at":"2026-08-07T05:56:39.923835Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:39.905553Z","title":"and Kanehisa, M","venue":null,"work_id":"7d7622db-38cd-4bcc-a824-024763ad1a47","year":1992},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.607573Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:08e1df68459cee619347ab1915b114972fc0560fed233d9b32c8115be7b02448","observation_id":"5e031b1e-fa28-4dba-ac76-4c8b127c7b47","resolution":{"observed_at":"2026-08-07T05:56:39.910145Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:39.891625Z","title":"and Ali, M","venue":null,"work_id":"1f541a17-0f31-4883-81f8-da629dede10a","year":2015},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.611616Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:9109af5c2b0b71b79d7dd6bdc8b74a3d8ce87e6b5fbf844d83fe888ae3e6cca6","observation_id":"16a11f81-164f-434b-a78a-a9a8d9fff51f","resolution":{"observed_at":"2026-08-07T05:56:39.896109Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:39.875844Z","title":"numpy.argmin -- NumPy v2.2 Manual","venue":null,"work_id":"405627f3-7789-4714-ab27-1f586e1f8d14","year":2025},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.615774Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:efa00b84955f6c9c27ec1845b926a4708102ab158cdee598eff519d063afa719","observation_id":"9a0c7f5d-7b84-43fe-b4d8-a00a100b8893","resolution":{"observed_at":"2026-08-07T05:56:39.880605Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:39.861623Z","title":"and Moore, A","venue":null,"work_id":"d6c8970b-9534-4a43-9273-ad551fe367f9","year":2000},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.619803Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:b2919ed975237917e4acc6452e7f789c6c81a59c57e5373f38693496d13538cf","observation_id":"bca93dce-277b-49b9-985d-1e3d1c1cda6b","resolution":{"observed_at":"2026-08-07T05:56:39.865941Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:39.848002Z","title":"and Xia, Y","venue":null,"work_id":"055023d9-e9b1-4404-bce9-7726236f43a0","year":2005},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.623857Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:9cadd584befd7e6fb22a7b13f49a3e0d5fe6e604cb75c7d9d4fba64e191e9598","observation_id":"1c84f1e0-1618-4c31-adc4-fe87a6cd98ce","resolution":{"observed_at":"2026-08-07T05:56:39.852249Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:39.833557Z","title":null,"venue":null,"work_id":"f0799093-4e15-47da-ba7f-5b9267c8e09e","year":1970},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.628408Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:0df56a4554cd28e3c694a50602459c09b708284a35d94ea0fa9390a6d886d6d5","observation_id":"3628a17f-f2d9-40fc-96b2-22fa8e5382d1","resolution":{"observed_at":"2026-08-07T05:56:39.838041Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:39.819327Z","title":"The 20 newsgroups text dataset","venue":null,"work_id":"a5f458f4-55ad-45ed-9d29-93ec3ca06b29","year":2017},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.632811Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:16f051630cd931a12497f498ba1e4b50a4967fd9698a14bf1ce84ece8c28af33","observation_id":"4326f025-0ece-46cc-b023-2d73d40af7c4","resolution":{"observed_at":"2026-08-07T05:56:39.823655Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:39.804182Z","title":"KMeans - scikit-learn documentation","venue":null,"work_id":"ac899d4d-a918-4afd-8d5c-fcbd548b9393","year":2025},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.637024Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:e6224dd67e5d5d05d409b9b63fd3ec142f774cac8a546d57a72dacd751f6c4a2","observation_id":"e9e88c0c-394b-45d0-9baf-610d0089f6e6","resolution":{"observed_at":"2026-08-07T05:56:39.809410Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:39.789252Z","title":null,"venue":null,"work_id":"350eecd7-ebee-47e6-9897-07ae1f640272","year":1984},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.641314Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:ce9a038ee5963c61a2ef039c620abb6736b2ae323ff0790068e8fcb483605c1f","observation_id":"82baf603-b037-40bb-8b24-687444c810b3","resolution":{"observed_at":"2026-08-07T05:56:39.793680Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:39.775232Z","title":"A Comparison of Document Clustering Techniques","venue":null,"work_id":"2326b33c-055e-45ed-9e9e-99bf0b4d747b","year":2000},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.645601Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:63542c8d218ff1e7409107b331ca78746a77b7c0b59be76a83ce1627acf531fd","observation_id":"e5b7ae7b-da59-414c-a7d2-1cca23b787e9","resolution":{"observed_at":"2026-08-07T05:56:39.779702Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:39.758573Z","title":"Kullback - - Leibler Divergence-Based Fuzzy C-Means Clustering Incorporating Morphological Reconstruction and Wavelet Frames for Image Segmentation","venue":null,"work_id":"21b0a690-e262-49bb-84d3-2c3e7e59ba18","year":2022},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.650010Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:64a9a338c805f98ca0ab2cf76ad3056cec3fd92bd6212e7ab1f8ed087b9a7d03","observation_id":"b2a37703-9cff-4674-b3ad-aa5a2b0aa09d","resolution":{"observed_at":"2026-08-07T05:56:39.764580Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:39.742133Z","title":"and Song, M","venue":null,"work_id":"aa89b8c5-269d-40f3-b787-996742582da6","year":2011},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.654324Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:923c5525f3f12eff07977c4254bbfb7d998bdab02d21b0137246275b1a76b8b2","observation_id":"ec1e7e95-2a4f-4a05-9e22-1f2e03434562","resolution":{"observed_at":"2026-08-07T05:56:39.746932Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:56:39.723831Z","title":null,"venue":null,"work_id":"5e2e53f7-5ddf-465c-bc9b-743805ccd7b9","year":1976},"citing_paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees","version":2},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-07T05:56:39.658764Z"},"links":{"citing_paper":"/paper/2506.06990"},"observation_digest":"sha256:97a939882d0a799079b136ed4ce3f44819bbcd550a8d6291dd7550a7645622f7","observation_id":"f0ff2b71-ec4d-48e1-bff9-de888b2b0221","resolution":{"observed_at":"2026-08-07T05:56:39.729937Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.06990","last_updated":"2025-06-11T06:52:53Z","latest_version":2,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-07T17:11:29.401807Z","submitted_at":"2025-06-08T04:37:28Z","title":"Modified K-means Algorithm with Local Optimality Guarantees"},"reference_resolution":{"displayed":51,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":15,"verified_exact":0,"verified_fuzzy":36},"total_outbound_references":51},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:2506.06990."}