{"as_of":"2026-08-14T15:12:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f0128a09f84696e03f6edc878d3e9d58a6cff6d8355b42cb048129fa4931f0c5","coverage":[{"denominator":37,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":37,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-26T20:05:34.495430Z","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":"2026-08-14T06:32:32.682623+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/2606.19011/citation-record","integrity":"/paper/2606.19011/integrity","json":"/paper/2606.19011/citation-record.json","paper":"/paper/2606.19011"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:e4937cab1579040f20f81d92e9a76938290813c58ff01448c4f648266d96949e","observation_id":"8086ea9f-cb32-46f2-afef-6cd30d5e9fb4","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:8521f9e17066a4d9e3d7dbd3134f3f7f190b7c22d8b1be0788b36d7f1b3a7d87","observation_id":"6eb05101-8cc3-4281-8a95-06653fe13a4c","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Delicado, Dimensionality reduction when data are density functions, Computational Statistics & Data Analysis 55 (2011) 401–420","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:6c75703a1175f45595434b799eaaead3b30ba953b8f5be6664e2c4df4811b825","observation_id":"3d0be0c0-411e-4c13-8936-d00f310fa594","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Eckardt, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:101ddad15f4b7a5f9e1df999741a10931da2ce37bdfce65f31b33c7c95d68930","observation_id":"56232dac-d17b-48e0-96c2-dc5541be5f4c","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:271cbdcf659d4857dec32a3f775f46fa56feddc289bfe0125dcdf37892a75c0f","observation_id":"c66e0eda-2312-4fe6-909a-40057e6db8a6","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Filzmoser, K","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:20ae2445a8bebce6505789f1cd5c75c8ddbf5c4c90b0f8ea73de5a42dcc29387","observation_id":"6c76c5ae-f574-4029-a9ab-4a4b47a12338","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Genest, K","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:c9dc4045db654c267abe6c1e16dda17fa97121f9439e71f0b15790b56452566c","observation_id":"e1f13df8-1b6e-4bd4-96ad-9658a0e23eb7","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:465f131d698e708d8bc8acf94e1418872619bbf37e68451153ff2e5751a4d895","observation_id":"e6be2a60-08c9-4692-b99e-5788e759b770","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:849df157d10e0adc8dc40de4ba60f34fba2ff442590d32e4b1b4ef2a28e9bf3b","observation_id":"6bc95d4c-bf82-4261-866b-64cd887272cd","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:4378fbe5d1cf32840ce2cc9929f4550572d5ea9234b71daee6a89fe15cacb5f9","observation_id":"95677de7-eea2-421b-b8ed-8cfed7f55543","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Johnson, D","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:ed5178fb060f60977e79392c0ef93458ce283f0b7a281484efee21e736f86d44","observation_id":"9331ae04-91b6-46d5-91b5-febf63fd7c4b","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Kneip, K","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:3a25b23ac1c153ecb4480ece22ac362fc7891950eb027126057156309cb8a103","observation_id":"0c4b6e28-062f-440b-abb5-5df1ca655901","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Kokoszka, M","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:2604c11a488647870c1253d4fc21c0edeb5de809dd56d23d34cce1cd7f33363e","observation_id":"3288784f-233c-445f-b633-4c2dd040a132","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Kutta, A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:addd3d760ef9731936a7807ad072a55c64093f9d6488f87e57679f13b64c97f6","observation_id":"f1353901-5837-4c15-ad84-f1e941447d1a","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:71b8785163c507bf8ca67f7bb029de1d9058ca3b816eff1b9d7da9f2e020db40","observation_id":"312c6a95-7f42-4472-a100-904264a168b9","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:7f28ca05fcb5b3722ba1ec7f842937f2dd94d7e497407633500a0dedf93beb73","observation_id":"18fd6c4a-6ac8-423b-a2b9-264fc49dc2ad","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Maier, A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:a165663192d4ea025f891386fef364f10830ed90e8f973ccf03798b9961aa80f","observation_id":"444fbb4e-6316-4775-9aa3-af56e8934479","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Maier, A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:2330e3faa17bd6020db8f3049e9408c975f9d5119cdd6b92cae503979c06e38c","observation_id":"2d14c225-9ec8-47ee-b0f3-1fe1e7ce13d7","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Matys Grygar, U","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:5091dafe270daeb70c78432bdcc38d7a5981766e784ab70e534668a1009358f6","observation_id":"e2243cb5-45c8-4451-aa6b-e86a0150bcb6","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Menafoglio, M","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:33dd3d0d745b11e17429a47865fb77ee204fa1966b7c41f920ad022b1040790c","observation_id":"075282f7-e636-42d9-a6ef-1a2eff0f4008","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Menafoglio, M","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:02a7ca29d95fc82ecf58cb7286cfbd7fc4e524c24b2621678737e9a36a4f22a6","observation_id":"9c7e7e29-3a57-45ad-ab85-11f8832e75d6","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Menafoglio, A","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:04609f8d767313458dec8aa415339dae1f6fba323c64fa24940f4108a6321421","observation_id":"da1c9284-e447-4de5-95fa-aab340a352bd","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Murph, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:8edba7335d2747a625405b5c46e7ac59a6b6fdb577a97e2cd5060c6eb00f5062","observation_id":"244c027b-edcc-4ad9-9bec-369b2c47cd78","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Pavl˚ u, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:3084f989601bb390d4b4640e398ba1628bd985ba594fc21c3844766ab3bf0fb5","observation_id":"88182507-886c-43e5-a0c8-c16cf73b8fad","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Pawlowsky-Glahn, J","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:29bc6d8b4a2a9a0ad27452c9483d5aec9a105cd0b46d7969e486d703463f4700","observation_id":"824f0208-07a6-414c-a17a-41c7e5c3e529","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Petersen, C","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:20e32410a91122a88d9c020f9cff2c95594f67805709bcff4b0c831c77f32b53","observation_id":"20802e52-054e-44b2-8856-a55d9da5a632","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Podlešáková, J","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:3aad5608a43798fbf7e3d299da8d2ee3e33323fdac96429a93f416b1a0b752ac","observation_id":"a640b922-76d1-4c98-b704-eedb2a6d29f0","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Poláková, K","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:dbd23deec329e0c256cd0c5fa23e874a7a26deea3ac3e3c255e2f06a3d564227","observation_id":"6dba1626-9aa3-469f-97f4-680efc124ed7","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:fa596db0157cbd57cd59470691e659e18207ece1fac096a99858d5856b12ea6f","observation_id":"4058f7c5-1a44-4ed1-b6c5-7e77726709f1","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Ramsay, B","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:b13c41e1b2c456a605749d261f50b8760d6c3732333e853d49d01f085201d408","observation_id":"6a836b9e-2000-43b6-85d1-2ac9bb43d013","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:6fa78119bb0d83e8e356a9399302cb8354721bc7b8f8f18fd73b7a93d4f2f06b","observation_id":"2a1fdd43-8529-4d4f-8204-a57a76230022","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Škor ˇna, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:36228bca391c497608a6fa2578829ef9db7d7499154cefa3614c4a666d396334","observation_id":"c9119ecd-5cd0-40b8-a101-890ffaaa6d0d","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Steyer, S","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:5bc06851bf878d8b5e39d73bf47169046da9d00305499d6de41903edf35b56ac","observation_id":"cd9d92a0-d496-4303-a692-7c1893467eb2","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Talská, A","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:a0ca33f90f1cc8908216e06962921192e7cd1aa6d88b34a821fb9a7105fdccc9","observation_id":"a8729c6b-31bb-42d1-8a95-5841df410e2c","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Talská, A","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:5b53352dfa31e772e3bd4cb78c11ce9cb40c605e39bb18c3e75798d0065d0f68","observation_id":"2a1ad95c-ac98-4220-9c10-5728f1119629","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:97bbf2ab7189788519a8a2bf9105d8129bf13ebaaf78d9f26c685394b56b04bb","observation_id":"ee58c186-160a-4417-bdd4-5a98c61780b9","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T20:05:34.495430Z","title":"Zbíral, I","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-06-26T20:05:34.495430Z"},"links":{"citing_paper":"/paper/2606.19011"},"observation_digest":"sha256:8cb39a792efbec4dd207c66391ee4d27ac33c8b45d860e5bc348f7adf2663165","observation_id":"0d739c7e-a1e1-4b7c-92d2-71f78bbdb73b","resolution":{"observed_at":"2026-06-26T20:05:34.495430Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.19011","last_updated":"2026-06-17T12:36:03Z","latest_version":1,"primary_category":"stat.ME","snapshot_observed_at":"2026-08-06T17:35:08.133321Z","submitted_at":"2026-06-17T12:36:03Z","title":"Dimension reduction of multivariate densities in Bayes spaces"},"reference_resolution":{"displayed":37,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":37,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":37},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2606.19011."}