{"as_of":"2026-08-19T22:38:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:cd6c7b6441aaecdda25fc02c45bbb7867ce568a7706093719981537e658956cc","coverage":[{"denominator":19,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T20:58:48.948619Z","state":"measured"},{"denominator":20,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":20,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T12:33:42.653519Z","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":"2026-08-07T12:33:44.836457Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.19247","last_updated":"2025-01-31T16:03:06Z","snapshot_observed_at":"2026-08-16T03:50:46.742639Z","submitted_at":"2025-01-31T16:03:06Z","title":"Clustering in hyperbolic balls","version":1},"cited_work":{"arxiv_id":"2501.19247","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.19247","snapshot_observed_at":"2026-08-07T12:33:44.836457Z","title":"Clustering in hyperbolic balls","venue":"cs.LG","work_id":"e398fdcf-6ea1-4b87-8295-3c21ebbf5d6c","year":2025},"citing_paper":{"arxiv_id":"2505.24353","last_updated":"2025-05-30T08:45:53Z","snapshot_observed_at":"2026-08-19T18:09:58.827430Z","submitted_at":"2025-05-30T08:45:53Z","title":"Cartan Networks: Group theoretical Hyperbolic Deep Learning","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T12:33:42.653519Z"},"links":{"cited_paper":"/paper/2501.19247","citing_paper":"/paper/2505.24353"},"observation_digest":"sha256:29f459a9951941f2b60e07c517eeff0e2726c8741b5ee42778d2ce1664306dac","observation_id":"71fe5345-349e-4155-a888-7e95d850a3cd","resolution":{"observed_at":"2026-08-07T12:33:44.952246Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2501.19247/citation-record","integrity":"/paper/2501.19247/integrity","json":"/paper/2501.19247/citation-record.json","paper":"/paper/2501.19247"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T20:58:49.255486Z","title":"& Calder, C.A","venue":null,"work_id":"75ea1a57-aba6-44c5-aa58-521a15f5c264","year":2019},"citing_paper":{"arxiv_id":"2501.19247","last_updated":"2025-01-31T16:03:06Z","snapshot_observed_at":"2026-08-16T03:50:46.742639Z","submitted_at":"2025-01-31T16:03:06Z","title":"Clustering in hyperbolic balls","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T20:58:48.860990Z"},"links":{"citing_paper":"/paper/2501.19247"},"observation_digest":"sha256:c674819c6cd433d6480fb20a65f6511a0542d919055ada939efc46e5ce9e308e","observation_id":"31609e3c-c281-4f07-8340-7b75738116b9","resolution":{"observed_at":"2026-08-09T20:58:49.260253Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T20:58:49.240885Z","title":null,"venue":null,"work_id":"810b6eee-1f86-4200-a9b6-07fbb04c94ed","year":2018},"citing_paper":{"arxiv_id":"2501.19247","last_updated":"2025-01-31T16:03:06Z","snapshot_observed_at":"2026-08-16T03:50:46.742639Z","submitted_at":"2025-01-31T16:03:06Z","title":"Clustering in hyperbolic balls","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-09T20:58:48.866640Z"},"links":{"citing_paper":"/paper/2501.19247"},"observation_digest":"sha256:c03259e791c933aa5eea9155008fe33de4732a7929786b37b5c59d6b4d7c7387","observation_id":"fe7cf8e9-fb9b-43cf-b64d-7056bc6f34d1","resolution":{"observed_at":"2026-08-09T20:58:49.245277Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T20:58:49.226791Z","title":"& Hauberg, S","venue":null,"work_id":"7163e7ae-8acb-4b82-b37a-363ab1c65e2e","year":2018},"citing_paper":{"arxiv_id":"2501.19247","last_updated":"2025-01-31T16:03:06Z","snapshot_observed_at":"2026-08-16T03:50:46.742639Z","submitted_at":"2025-01-31T16:03:06Z","title":"Clustering in hyperbolic balls","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-09T20:58:48.871583Z"},"links":{"citing_paper":"/paper/2501.19247"},"observation_digest":"sha256:f26eab8a9adc80b561ef4a22065a77af746c8533849e4cb5423e996a0ba1d193","observation_id":"b71a174a-48cf-4431-80d2-817d547276c3","resolution":{"observed_at":"2026-08-09T20:58:49.231375Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T20:58:49.212406Z","title":"& Kiela, D","venue":null,"work_id":"9fa0b9bb-f59b-49c0-b373-e25ec8c2dcd8","year":2017},"citing_paper":{"arxiv_id":"2501.19247","last_updated":"2025-01-31T16:03:06Z","snapshot_observed_at":"2026-08-16T03:50:46.742639Z","submitted_at":"2025-01-31T16:03:06Z","title":"Clustering in hyperbolic balls","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-09T20:58:48.876631Z"},"links":{"citing_paper":"/paper/2501.19247"},"observation_digest":"sha256:7d1527b6b0ef379619419254ccf1d52184a3707f2ce18c32f96d5a168d6b3ada","observation_id":"2d635694-f490-40d2-80bd-770d760eec74","resolution":{"observed_at":"2026-08-09T20:58:49.217277Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T20:58:49.197629Z","title":"& Ganea, O.-E","venue":null,"work_id":"56783a33-cbc2-4883-8931-d11faf561afa","year":2019},"citing_paper":{"arxiv_id":"2501.19247","last_updated":"2025-01-31T16:03:06Z","snapshot_observed_at":"2026-08-16T03:50:46.742639Z","submitted_at":"2025-01-31T16:03:06Z","title":"Clustering in hyperbolic balls","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-09T20:58:48.881689Z"},"links":{"citing_paper":"/paper/2501.19247"},"observation_digest":"sha256:d717c34e012eb011d45ecec5ac6d0eecc9feca28d908db9088b1b31d5dfee83a","observation_id":"5492fa7a-2ae5-4b98-a893-268a940bb8ad","resolution":{"observed_at":"2026-08-09T20:58:49.203031Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T20:58:49.182681Z","title":"& C annistraci, C.V","venue":null,"work_id":"8b22ef8f-04d6-4172-9168-23dede0d8743","year":2017},"citing_paper":{"arxiv_id":"2501.19247","last_updated":"2025-01-31T16:03:06Z","snapshot_observed_at":"2026-08-16T03:50:46.742639Z","submitted_at":"2025-01-31T16:03:06Z","title":"Clustering in hyperbolic balls","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-09T20:58:48.886673Z"},"links":{"citing_paper":"/paper/2501.19247"},"observation_digest":"sha256:bbe296629edd9f4663e049092ff814080eefc81de97ab4c079d762d115fcef1c","observation_id":"1cae680f-8127-41d8-bff9-6e5df98583db","resolution":{"observed_at":"2026-08-09T20:58:49.187326Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2005.00545","last_updated":"2020-05-01T18:00:02Z","snapshot_observed_at":"2026-08-19T19:08:54.558545Z","submitted_at":"2020-05-01T18:00:02Z","title":"Low-Dimensional Hyperbolic Knowledge Graph Embeddings","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2005.00545","snapshot_observed_at":"2026-08-09T20:58:48.892089Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.19247","last_updated":"2025-01-31T16:03:06Z","snapshot_observed_at":"2026-08-16T03:50:46.742639Z","submitted_at":"2025-01-31T16:03:06Z","title":"Clustering in hyperbolic balls","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-09T20:58:48.892089Z"},"links":{"cited_paper":"/paper/2005.00545","citing_paper":"/paper/2501.19247"},"observation_digest":"sha256:d44e85504358f82720c3b33e76e31e20ba9c259189db94159cb02a4c762da9a1","observation_id":"ae56f2ba-d30c-4b37-9916-4de20e11f6a7","resolution":{"observed_at":"2026-08-09T20:58:48.892089Z","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":"2026-08-09T20:58:49.168336Z","title":"& Lio, P","venue":null,"work_id":"9daa1699-84ac-4c7a-84ee-6abbf2ed1717","year":2021},"citing_paper":{"arxiv_id":"2501.19247","last_updated":"2025-01-31T16:03:06Z","snapshot_observed_at":"2026-08-16T03:50:46.742639Z","submitted_at":"2025-01-31T16:03:06Z","title":"Clustering in hyperbolic balls","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-09T20:58:48.897272Z"},"links":{"citing_paper":"/paper/2501.19247"},"observation_digest":"sha256:df90d9d3a516fb7d72725b9c8e51380450f70f554e21d53a7b7a92eef5f4e34f","observation_id":"a56d1742-9b31-4804-982f-fbd573458ba8","resolution":{"observed_at":"2026-08-09T20:58:49.172868Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T20:58:49.153717Z","title":"& Nickel, M","venue":null,"work_id":"8905bb5c-4465-44de-a85e-225128a14704","year":2020},"citing_paper":{"arxiv_id":"2501.19247","last_updated":"2025-01-31T16:03:06Z","snapshot_observed_at":"2026-08-16T03:50:46.742639Z","submitted_at":"2025-01-31T16:03:06Z","title":"Clustering in hyperbolic balls","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-09T20:58:48.901661Z"},"links":{"citing_paper":"/paper/2501.19247"},"observation_digest":"sha256:75ae02bd2316f5d74986f92b1f607c64f6b51e15dee0231b9c1e648ee5c29452","observation_id":"e5120f23-7415-4aab-9385-98e6fbc15810","resolution":{"observed_at":"2026-08-09T20:58:49.158503Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T20:58:49.138904Z","title":"& Wang, Z","venue":null,"work_id":"7eb99d56-d719-4aab-9ece-e7097c8223fa","year":2022},"citing_paper":{"arxiv_id":"2501.19247","last_updated":"2025-01-31T16:03:06Z","snapshot_observed_at":"2026-08-16T03:50:46.742639Z","submitted_at":"2025-01-31T16:03:06Z","title":"Clustering in hyperbolic balls","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-09T20:58:48.906258Z"},"links":{"citing_paper":"/paper/2501.19247"},"observation_digest":"sha256:64e651863c1c6ac86304427ba26b504f0823917ec3ce5d996a4f896bc37f7780","observation_id":"1c515350-98c5-442f-b432-dc2034ae9ed0","resolution":{"observed_at":"2026-08-09T20:58:49.143632Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1902.08648","last_updated":"2019-02-22T19:32:28Z","snapshot_observed_at":"2026-08-17T23:45:25.248685Z","submitted_at":"2019-02-22T19:32:28Z","title":"Scalable Hyperbolic Recommender Systems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1902.08648","snapshot_observed_at":"2026-08-09T20:58:48.911105Z","title":"& V argas, S","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2501.19247","last_updated":"2025-01-31T16:03:06Z","snapshot_observed_at":"2026-08-16T03:50:46.742639Z","submitted_at":"2025-01-31T16:03:06Z","title":"Clustering in hyperbolic balls","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-09T20:58:48.911105Z"},"links":{"cited_paper":"/paper/1902.08648","citing_paper":"/paper/2501.19247"},"observation_digest":"sha256:0691c19df847d98451e0f6d7c97c440dd2166a8191e34b4e39e1646f89df3d31","observation_id":"23cded0e-cf5f-416d-b88a-44bc26b491b2","resolution":{"observed_at":"2026-08-09T20:58:48.911105Z","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":"2026-08-09T20:58:49.123178Z","title":"& Pantazis, D","venue":null,"work_id":"66845ef9-9fac-4e0d-8e15-db77ea3b556a","year":2024},"citing_paper":{"arxiv_id":"2501.19247","last_updated":"2025-01-31T16:03:06Z","snapshot_observed_at":"2026-08-16T03:50:46.742639Z","submitted_at":"2025-01-31T16:03:06Z","title":"Clustering in hyperbolic balls","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-09T20:58:48.916463Z"},"links":{"citing_paper":"/paper/2501.19247"},"observation_digest":"sha256:79ee68a76c3d9ab21b93d0079bf70f958a985560831e524082be8ccba15a9f00","observation_id":"2772db1c-bcc2-48f6-bb27-93f641b9bb28","resolution":{"observed_at":"2026-08-09T20:58:49.128173Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T20:58:49.107328Z","title":"& Serrano, M.A","venue":null,"work_id":"256609b8-a322-4aef-9a1c-59fca0b75ef4","year":2020},"citing_paper":{"arxiv_id":"2501.19247","last_updated":"2025-01-31T16:03:06Z","snapshot_observed_at":"2026-08-16T03:50:46.742639Z","submitted_at":"2025-01-31T16:03:06Z","title":"Clustering in hyperbolic balls","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-09T20:58:48.921612Z"},"links":{"citing_paper":"/paper/2501.19247"},"observation_digest":"sha256:966ac1d4ee0c6b89f89d1e516f1ea4b15b559cea0351bb8fcc00569b6414b344","observation_id":"91c2e1b6-aca4-4f55-8536-52f006f3f876","resolution":{"observed_at":"2026-08-09T20:58:49.111960Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T20:58:49.092282Z","title":"& Rubin, D.B","venue":null,"work_id":"638b2b70-f509-436f-a71b-493943355805","year":1977},"citing_paper":{"arxiv_id":"2501.19247","last_updated":"2025-01-31T16:03:06Z","snapshot_observed_at":"2026-08-16T03:50:46.742639Z","submitted_at":"2025-01-31T16:03:06Z","title":"Clustering in hyperbolic balls","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-09T20:58:48.926182Z"},"links":{"citing_paper":"/paper/2501.19247"},"observation_digest":"sha256:14c7f612de319763966d34ad7b6972d7c8edd0a7ad9b381946990865bd10f0a9","observation_id":"4d248dfe-c954-41c3-ac07-c29478ff1f7a","resolution":{"observed_at":"2026-08-09T20:58:49.097197Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T20:58:49.077208Z","title":"& Sra, S","venue":null,"work_id":"bcd43980-d65b-4c81-b839-e6596c29296d","year":2005},"citing_paper":{"arxiv_id":"2501.19247","last_updated":"2025-01-31T16:03:06Z","snapshot_observed_at":"2026-08-16T03:50:46.742639Z","submitted_at":"2025-01-31T16:03:06Z","title":"Clustering in hyperbolic balls","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-09T20:58:48.930625Z"},"links":{"citing_paper":"/paper/2501.19247"},"observation_digest":"sha256:816b948738169964e92c97a515e8299e2a3be52a8ce5272c8a5453338f25a143","observation_id":"ae489044-3a5b-4359-a6ac-f08bf93a002d","resolution":{"observed_at":"2026-08-09T20:58:49.081733Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T20:58:49.062991Z","title":"& Hamelryck, T","venue":null,"work_id":"9398227a-d715-4b95-83bb-1dedb2718b0f","year":2022},"citing_paper":{"arxiv_id":"2501.19247","last_updated":"2025-01-31T16:03:06Z","snapshot_observed_at":"2026-08-16T03:50:46.742639Z","submitted_at":"2025-01-31T16:03:06Z","title":"Clustering in hyperbolic balls","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-09T20:58:48.935093Z"},"links":{"citing_paper":"/paper/2501.19247"},"observation_digest":"sha256:c3b2e1cc31444cd31c026b5e6a7a1112b6887950e084b16399141c82544d03df","observation_id":"6ea3a349-d662-4c9b-bcab-3e7f8f0868f0","resolution":{"observed_at":"2026-08-09T20:58:49.067411Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.02257","last_updated":"2024-11-25T11:33:21Z","snapshot_observed_at":"2026-08-18T23:35:32.047098Z","submitted_at":"2024-10-03T07:04:24Z","title":"Conformal and holomorphic barycenters in hyperbolic balls","version":3},"cited_work":{"arxiv_id":"2410.02257","doi":null,"metadata_source":"pith","pith_arxiv_id":"2410.02257","snapshot_observed_at":"2026-08-09T20:58:48.999733Z","title":"Conformal and holomorphic barycenters in hyperbolic balls","venue":"math.DG","work_id":"aa9571d2-7170-4c70-8169-feb152111ae2","year":2024},"citing_paper":{"arxiv_id":"2501.19247","last_updated":"2025-01-31T16:03:06Z","snapshot_observed_at":"2026-08-16T03:50:46.742639Z","submitted_at":"2025-01-31T16:03:06Z","title":"Clustering in hyperbolic balls","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-09T20:58:48.939458Z"},"links":{"cited_paper":"/paper/2410.02257","citing_paper":"/paper/2501.19247"},"observation_digest":"sha256:b664823d583258ce7aaa639ea2dfb3f716a8304409ddd74ffebbc95208e9657f","observation_id":"12e3e704-6de2-49de-b908-3a3ac6951fdf","resolution":{"observed_at":"2026-08-09T20:58:49.006739Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.06934","last_updated":"2025-01-12T21:06:38Z","snapshot_observed_at":"2026-08-19T04:16:19.604288Z","submitted_at":"2025-01-12T21:06:38Z","title":"A group-theoretic framework for machine learning in hyperbolic spaces","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.06934","snapshot_observed_at":"2026-08-09T20:58:48.944087Z","title":"A group-theoretic framework for machine learning in hyperbolic spaces","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2501.19247","last_updated":"2025-01-31T16:03:06Z","snapshot_observed_at":"2026-08-16T03:50:46.742639Z","submitted_at":"2025-01-31T16:03:06Z","title":"Clustering in hyperbolic balls","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-09T20:58:48.944087Z"},"links":{"cited_paper":"/paper/2501.06934","citing_paper":"/paper/2501.19247"},"observation_digest":"sha256:0f88498f71626a9f64a7a89477785aa1b9cb8267ae8836aed26bc1b09def0da5","observation_id":"9fc9d818-03b5-4237-be43-694177324fd7","resolution":{"observed_at":"2026-08-09T20:58:48.944087Z","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":"2026-08-09T20:58:49.047918Z","title":"& Stegun, I.A","venue":null,"work_id":"0fb20c7a-f77e-4f91-a767-4b979d4c15a9","year":1972},"citing_paper":{"arxiv_id":"2501.19247","last_updated":"2025-01-31T16:03:06Z","snapshot_observed_at":"2026-08-16T03:50:46.742639Z","submitted_at":"2025-01-31T16:03:06Z","title":"Clustering in hyperbolic balls","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-09T20:58:48.948619Z"},"links":{"citing_paper":"/paper/2501.19247"},"observation_digest":"sha256:4154d9f4f4efec7296cdf43725223a7bdfb503d39c936ecc5327c1e6f2f8b281","observation_id":"0d0e2320-3aa8-4fa7-a16a-86ac98b20fb3","resolution":{"observed_at":"2026-08-09T20:58:49.052530Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.19247","last_updated":"2025-01-31T16:03:06Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-16T03:50:46.742639Z","submitted_at":"2025-01-31T16:03:06Z","title":"Clustering in hyperbolic balls"},"reference_resolution":{"displayed":19,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":1,"verified_fuzzy":14},"total_outbound_references":19},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2501.19247."}