{"as_of":"2026-08-22T03:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e52ef3dea69c9c0219d9e48ba70781189d8a96e499aa170f8001a429bbfba9b4","coverage":[{"denominator":35,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":35,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T17:54:55.490192Z","state":"measured"},{"denominator":37,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":37,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T14:22:18.939912Z","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":"2026-08-15T18:16:14.067578Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.00893","snapshot_observed_at":"2026-08-15T14:22:18.934104Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.11321","last_updated":"2026-08-11T18:15:38Z","snapshot_observed_at":"2026-08-18T07:49:01.168433Z","submitted_at":"2026-08-11T18:15:38Z","title":"Spectral graph clustering with inhomogeneous latent geometry","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T14:22:18.934104Z"},"links":{"cited_paper":"/paper/2508.00893","citing_paper":"/paper/2608.11321"},"observation_digest":"sha256:057b2551e63a4c33906ccc75da0477a9b1e41415faac348142751c4513334da8","observation_id":"9756fdcb-1113-4064-9b41-f279a3b579bf","resolution":{"observed_at":"2026-08-15T14:22:18.934104Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"cited_work":{"arxiv_id":"2508.00893","doi":"10.48550/arxiv.2508.00893","metadata_source":"pith","pith_arxiv_id":"2508.00893","snapshot_observed_at":"2026-08-15T18:16:14.067578Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","venue":"cs.SI","work_id":"0ff75a41-9f3c-4567-a659-95bdf626dcbb","year":2025},"citing_paper":{"arxiv_id":"2608.11321","last_updated":"2026-08-11T18:15:38Z","snapshot_observed_at":"2026-08-18T07:49:01.168433Z","submitted_at":"2026-08-11T18:15:38Z","title":"Spectral graph clustering with inhomogeneous latent geometry","version":1},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-15T14:22:18.939912Z"},"links":{"cited_paper":"/paper/2508.00893","citing_paper":"/paper/2608.11321"},"observation_digest":"sha256:b45f2c1b411ed59be1e6c04b62731f6d75181327868a3ee6881b713315e47f6d","observation_id":"1d952457-9031-4cd2-a1b2-214e6c4d3c99","resolution":{"observed_at":"2026-08-15T14:22:19.758776Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2508.00893/citation-record","integrity":"/paper/2508.00893/integrity","json":"/paper/2508.00893/citation-record.json","paper":"/paper/2508.00893"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T17:54:55.983329Z","title":"177, 1–86","venue":null,"work_id":"a0055d48-5968-41e0-8061-c5684c2003b3","year":2018},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.359538Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:c9c124fb1bd3a66ae6bf08d3d1dcfa091ddd129bc4f72d195a561bb5d8a9dc46","observation_id":"e389a174-75f5-47b9-9ffe-a73cd216c69e","resolution":{"observed_at":"2026-08-15T17:54:55.986799Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.972785Z","title":"1, 109– 160","venue":null,"work_id":"cf617de6-bb6d-4474-bd4a-026058ab6971","year":2020},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.364836Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:89b29688f87e81db4556901af3265eebdb7a0cb79de22f3b7b96f1254a290d41","observation_id":"5f413d77-bc00-4c1e-a45a-54b90fb2e5b3","resolution":{"observed_at":"2026-08-15T17:54:55.976350Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.961877Z","title":null,"venue":null,"work_id":"a3beddd4-b739-47c6-ac33-04f25a2d4a7e","year":2021},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.369228Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:a85eb3989109465dcee9ebdd2d932a64a54b985b3959cea86f46cc9b41734e01","observation_id":"7485b0ac-072e-4454-88b7-3a13a54ae517","resolution":{"observed_at":"2026-08-15T17:54:55.965715Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.950226Z","title":null,"venue":null,"work_id":"e19c6208-24fc-4efc-b9bc-311403035ee2","year":2022},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.373039Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:a066eca9048cb31f7da811063701427b2e748565edf6f18c9d4b0eeb9ce2d1a6","observation_id":"9f8f478b-f06d-46f9-ac4b-1ac2e84b2a9a","resolution":{"observed_at":"2026-08-15T17:54:55.954136Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2403.02802","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T17:54:55.589859Z","title":null,"venue":null,"work_id":"5639bf52-4c0b-480f-af36-149e34986765","year":2024},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.377063Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:9df087033c96008ecc237d69a106511b092f421844bc27c7924d2ba23c7b8f7a","observation_id":"966e94a3-799e-4241-bac0-8c6ccdf8a318","resolution":{"observed_at":"2026-08-15T17:54:55.597872Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.939257Z","title":"20, Springer, 2010","venue":null,"work_id":"21cebfde-2f0d-44bb-b55e-34485d6feccb","year":2010},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.380905Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:431c320b9c1fdd93930137d9529fb93952abc585c5a39199e9cf98dd98a92adc","observation_id":"94f45d60-8875-47da-9204-97b84e34e74d","resolution":{"observed_at":"2026-08-15T17:54:55.943084Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.928585Z","title":"4, 515–532","venue":null,"work_id":"244119ee-5cb8-46d8-be90-44b79b66392a","year":2008},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.385049Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:996f101fc03cf3402dbae82f70d30e91f9883e1240d19cb2d9b2eb061ad56135","observation_id":"75e7b096-47ef-412f-b4b6-6553fd27f673","resolution":{"observed_at":"2026-08-15T17:54:55.932335Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.917911Z","title":"3-5, 75–174","venue":null,"work_id":"06ca17d8-1a9b-4327-8f4f-a59221c503b7","year":2010},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.389556Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:2cdafae6866ef587bc6032ec863e86352b02b663bf544d374cf440100af6c8a3","observation_id":"d829be05-e4ca-415a-8c87-5ac8956806c8","resolution":{"observed_at":"2026-08-15T17:54:55.921250Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.906560Z","title":"32, 2018","venue":null,"work_id":"3f12dd1b-e624-4a9c-b293-bc35bdb4e78d","year":2018},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.393691Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:7e55313aec20b0cc06c7fa426d16a82b79fa0febad7211e117f9201b09fddcf7","observation_id":"abd62675-c7f8-437b-8a12-941c8f61b787","resolution":{"observed_at":"2026-08-15T17:54:55.910145Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.895445Z","title":"338, 1–53","venue":null,"work_id":"580168a1-7d4d-4c14-9504-cc1a2780fafd","year":2023},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.397624Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:6f0e2b4ce621fed198064bd544043d9d353b63056f5ceaa6d5d3e302dd458a35","observation_id":"87fcbd6c-9d07-4117-8f20-4561044931e0","resolution":{"observed_at":"2026-08-15T17:54:55.899246Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.884434Z","title":"Gao, Dominic Dwyer, Ye Zhu, Catherine L","venue":null,"work_id":"1fac1a7c-9593-49e5-8efb-ac418b9a9c5c","year":2023},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.401170Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:d797ef2994d4f41c54104b7bd56454f9b134733b1c2d845ab8d206a99766eb8a","observation_id":"1a292aeb-620a-4ab4-a22b-fc523d3aea91","resolution":{"observed_at":"2026-08-15T17:54:55.888060Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.874138Z","title":"Guan,Sharp exact recovery threshold for two-community Euclidean random graphs, ISIT, 2025","venue":null,"work_id":"f2164bbe-d896-4f94-9869-75ca88ec684c","year":2025},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.404879Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:ebfd549ded846d08f83106ec23257158c9428baaafa02c6367c2d34d61c43244","observation_id":"b5366e8b-1073-4f44-a12e-05ed6abfb05f","resolution":{"observed_at":"2026-08-15T17:54:55.877808Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.863776Z","title":"2158–2184","venue":null,"work_id":"2d8ea173-fc94-4f2b-814b-4bf0631054da","year":2024},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.409252Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:6db982517ba51185613cffd26ab0e46a5356dc62828ca2d6dc433b6179c3e32a","observation_id":"11b057f8-3abd-4d8e-a5b4-a92a79af3a50","resolution":{"observed_at":"2026-08-15T17:54:55.867583Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.853382Z","title":"161– 248","venue":null,"work_id":"829dfbc2-e83b-4309-a2a1-64b8118f60fa","year":2008},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.413071Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:a6d332606b1c552266c20953cf8498c7e029b335dc78e955e8048584e554d2f3","observation_id":"6441db6f-02fb-4ac9-b7d6-81e4124e7aad","resolution":{"observed_at":"2026-08-15T17:54:55.857095Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.842256Z","title":"Holland, Kathryn Blackmond Laskey, and Samuel Leinhardt,Stochastic blockmodels: First steps, Social Networks5(1983), no","venue":null,"work_id":"0d524b6e-84ee-4712-b010-97718722f3ba","year":1983},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.416632Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:e5002094498b366813d2e21866953fff86d772995435ee49e900e7c72da0bcb4","observation_id":"a06c22c7-e929-4456-94a7-b7da9e4950cc","resolution":{"observed_at":"2026-08-15T17:54:55.846235Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.830563Z","title":null,"venue":null,"work_id":"6cd75857-66b2-4115-a1f3-6cecf4eeaabb","year":2012},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.420412Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:29438c9d358200355566e7bb60d51823214f249ebe5bf8bdf6f5c359b39c0440","observation_id":"aff2e2fb-4927-47cb-b31f-76d4f4692752","resolution":{"observed_at":"2026-08-15T17:54:55.834404Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.819977Z","title":"Jain,Data clustering: 50 years beyond k-means, Pattern Recognition Letters31(2010), no","venue":null,"work_id":"98098c2a-16a3-4dc1-bc2e-6c957bac87b4","year":2010},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.423847Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:a7452961a4c9d0300f50e811dbe520b981f38ebbb349f0cf1eb629276b8d7c5e","observation_id":"1d54cb43-7e44-4453-b225-6b2d3481dbca","resolution":{"observed_at":"2026-08-15T17:54:55.823667Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.810036Z","title":null,"venue":null,"work_id":"48cb42c5-1f1d-46da-b185-28e1e1103641","year":2004},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.427296Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:9769c12470289221c43ce45a9b76b4e2392646d12ff893d82b5cb61651a378d0","observation_id":"db1c04ba-6c04-4be0-ac43-a49a4e82fda1","resolution":{"observed_at":"2026-08-15T17:54:55.813385Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.799589Z","title":"Lee, Shayan Oveis Gharan, and Luca Trevisan,Multiway spectral partitioning and higher- order cheeger inequalities, J","venue":null,"work_id":"90620f8c-83f3-4dc9-aa3b-3d4162976b4e","year":2014},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.430939Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:91c601ef641b2ec84ab320d197449c745f34babb24e044585fffd8856239063a","observation_id":"85063833-8112-422a-b224-f147fbb074fe","resolution":{"observed_at":"2026-08-15T17:54:55.803200Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.789652Z","title":null,"venue":null,"work_id":"f3a024d9-5570-4500-90ca-1d316a12b91c","year":2015},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.434641Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:032729dd2833a3f9a11b14775dbf34ec690d19ca7ec69406e15bb25d1950ced4","observation_id":"f7957da0-e273-4e57-b999-f9c669cb4dc4","resolution":{"observed_at":"2026-08-15T17:54:55.792940Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.778656Z","title":"eigenspace and singular subspace variations, SIAM Journal on Matrix Analysis and Applications20(1998), no","venue":null,"work_id":"b77654e6-74a7-448b-9169-dddd6f060318","year":1998},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.438652Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:f873c69553889e9d867c247f01b2c743a77ceb82aa2077a681d7c8cadcb26b22","observation_id":"3e842209-e3e7-46df-ad3a-424470e91745","resolution":{"observed_at":"2026-08-15T17:54:55.782605Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.767215Z","title":"Macqueen,Some methods for classification and analysis of multivariate observations, In 5-th Berkeley Symposium on Mathematical Statistics and Probability (1967), 281–297","venue":null,"work_id":"fdce664d-affa-446a-8989-0a10b23ffaa4","year":1967},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.442299Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:30c2ab393bd50ba3270dc15f3f389f2eb98073751ccb91727d82529a0b8a43ce","observation_id":"9adc1395-d749-4fce-a01f-8de86bcb0456","resolution":{"observed_at":"2026-08-15T17:54:55.771776Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.756084Z","title":null,"venue":null,"work_id":"d6145691-4492-4e55-860c-957922c0c19d","year":2012},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.445743Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:721640786e7c7bed67f9721dcba354c1584efaace03d4f420ede5a226b7c8d19","observation_id":"7a153c4f-e1bf-4e6a-b83f-e7a4410f6dfa","resolution":{"observed_at":"2026-08-15T17:54:55.759878Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.745057Z","title":null,"venue":null,"work_id":"c392adc3-af23-4cbd-b547-64e0ae7c3948","year":2021},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.449214Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:fb9e521f2f32eaeb92523548e338868fd30679a56edaceb5c48f36d01fa2e0b7","observation_id":"02b88b2d-aac6-4946-bcb7-d95efee0c8d5","resolution":{"observed_at":"2026-08-15T17:54:55.748816Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.733933Z","title":null,"venue":null,"work_id":"0d4c175e-894d-4c73-92f7-8c9f176d863b","year":2017},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.452994Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:45a77a4a42d2cf59f2255977b5d55d9876314fdb5cc55189643f4eb91f1fb621","observation_id":"ec7caa04-ad77-45b2-a76e-e05b4b99bf48","resolution":{"observed_at":"2026-08-15T17:54:55.737680Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.720714Z","title":null,"venue":null,"work_id":"6593e6cb-ac8a-4e2e-a555-f843e220f9da","year":2006},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.456609Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:23eff992c748dc26ceae584bf152971f5778f6c96285a21ea8d89761eb27f131","observation_id":"7b38ed8e-664a-4736-8e4e-76b8b2ac1494","resolution":{"observed_at":"2026-08-15T17:54:55.724924Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.708648Z","title":null,"venue":null,"work_id":"aff60595-4a42-48ab-9588-5c7ac824cf15","year":2001},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.460105Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:93bc12179583b14f40bb8434bd507d83c9188d3d719d0df0ce533438505049ca","observation_id":"b6b6a0a5-2559-41c7-854a-7049d29e9280","resolution":{"observed_at":"2026-08-15T17:54:55.712615Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.695764Z","title":"Qin and L","venue":null,"work_id":"4a08fcc0-0f50-4041-8867-fafc2f81c048","year":2010},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.463777Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:102cefec8b8804a377b3ff06b4f9e0732cd8232e09d321a50d3c18438bf9dea2","observation_id":"a20da9d6-9fae-4142-b0a8-4a041e25f994","resolution":{"observed_at":"2026-08-15T17:54:55.699807Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.682614Z","title":"2181–2200","venue":null,"work_id":"96e7ec30-8fa4-47c7-9a24-2c5458c67c14","year":2018},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.467732Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:53ad61c253c74a546993e157c72bd1803acf6d865e5e3df08fa643714f7ff08d","observation_id":"1666df53-21af-4ed6-8790-50b361689a0b","resolution":{"observed_at":"2026-08-15T17:54:55.687059Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.669048Z","title":"Sibson,Slink: An optimally efficient algorithm for the single-link cluster method, The Computer Journal16(1973), no","venue":null,"work_id":"815df882-e5a3-4d8f-82a4-8c11913666e4","year":1973},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.471158Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:9ed4a5d1440262c32c6df62f1ee94c827aee99457070abea217d9e84217c3aac","observation_id":"4354a558-b86f-4080-8ba8-24601a03cdb2","resolution":{"observed_at":"2026-08-15T17:54:55.673754Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.655466Z","title":"Spielman and Shang-Hua Teng,Spectral partitioning works: Planar graphs and finite element meshes, Linear Algebra and its Applications421(2007), no","venue":null,"work_id":"a03d0da3-bb0b-4092-af25-f328d08fd651","year":2007},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.474878Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:3a1abcf5af087013c17d81691221415cf7c73069e4e3dc3665b6a9c388e415ca","observation_id":"f4f787d6-1a07-4282-be18-89f879e9e83e","resolution":{"observed_at":"2026-08-15T17:54:55.660570Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.644015Z","title":null,"venue":null,"work_id":"60c5844c-77e8-443d-ade5-2ccc80023b3a","year":1996},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.478588Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:e282fbd5a6d08ada914e5192e15e1b1fbfca2197a9ba2f401f26840ab76c2904","observation_id":"6af5cee2-1905-4904-a51c-0dc57df333ff","resolution":{"observed_at":"2026-08-15T17:54:55.647665Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.632268Z","title":"2, 555–586","venue":null,"work_id":"c3f5fab6-f0df-49c9-9a39-d02b1602599d","year":2008},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.482463Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:47c91cffde72d29f1a3875f66373acaebd5b0b2348f4ede4f49b08dc74f660c1","observation_id":"46797fd5-37d3-4bc2-925c-0c9409e2519b","resolution":{"observed_at":"2026-08-15T17:54:55.636154Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.619125Z","title":null,"venue":null,"work_id":"8000abfe-6958-4a35-a0c8-13a1c7b2c254","year":2012},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.485977Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:43a2aa7652eb14cc2feb8c6f1d5b43d504bbe9ee7ad118b19b81a6c7e66f0355","observation_id":"2f513128-4cf2-4c03-acc6-e821201ad99f","resolution":{"observed_at":"2026-08-15T17:54:55.623289Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T17:54:55.606624Z","title":null,"venue":null,"work_id":"6fd84aab-a0c7-4392-9e47-7b5ff9aa1df6","year":2021},"citing_paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-15T17:54:55.490192Z"},"links":{"citing_paper":"/paper/2508.00893"},"observation_digest":"sha256:f75ed3d4d25745620e0c69eccf683ac0c20734b74253bc9c4f28731cb225cb1e","observation_id":"7cf8de33-8715-4bf1-8961-8e58a5ca2ad4","resolution":{"observed_at":"2026-08-15T17:54:55.610759Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2508.00893","last_updated":"2025-07-27T14:09:00Z","latest_version":1,"primary_category":"cs.SI","snapshot_observed_at":"2026-08-17T15:26:06.266085Z","submitted_at":"2025-07-27T14:09:00Z","title":"Multi-Community Spectral Clustering for Geometric Graphs"},"reference_resolution":{"displayed":35,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":13,"verified_exact":1,"verified_fuzzy":21},"total_outbound_references":35},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 2 inbound Pith citation observations for arXiv:2508.00893."}