{"as_of":"2026-08-19T20:27:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1b75b0ca5a333f6097f2bde3997e2b6ad3fb6cc1d7362626c9e2a2f73b22f918","coverage":[{"denominator":15,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":15,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T20:47:25.735904Z","state":"measured"},{"denominator":15,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":15,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+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/2501.07429/citation-record","integrity":"/paper/2501.07429/integrity","json":"/paper/2501.07429/citation-record.json","paper":"/paper/2501.07429"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2007.36691","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:47:26.293935Z","title":"Kittipat Kampa, Erion Hasanbelliu, and Jos´ e Carlos Pr ´ ıncipe","venue":null,"work_id":"7f2bfce2-62a4-4713-97b9-d7d764931a6a","year":2007},"citing_paper":{"arxiv_id":"2501.07429","last_updated":"2025-01-13T15:52:43Z","snapshot_observed_at":"2026-08-16T22:54:19.929872Z","submitted_at":"2025-01-13T15:52:43Z","title":"Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:25.679408Z"},"links":{"citing_paper":"/paper/2501.07429"},"observation_digest":"sha256:46deb26a2bb0d93b536c74e55d054ab034a9af6996b3a05808296315d9a5490f","observation_id":"0c0c6c9e-4aff-46f3-9001-3c8c6ddc2a69","resolution":{"observed_at":"2026-08-10T20:47:26.307816Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:47:26.416098Z","title":"Sivalingam, D","venue":null,"work_id":"b2d1e88b-ec6d-405a-be86-cc006761cc76","year":2010},"citing_paper":{"arxiv_id":"2501.07429","last_updated":"2025-01-13T15:52:43Z","snapshot_observed_at":"2026-08-16T22:54:19.929872Z","submitted_at":"2025-01-13T15:52:43Z","title":"Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:25.712490Z"},"links":{"citing_paper":"/paper/2501.07429"},"observation_digest":"sha256:ded0f48b519e8800e6e99e21ffdf0a3bee8988945c8600878958450a1291b501","observation_id":"04bbe5d4-833f-4472-8278-7cf6ec61a166","resolution":{"observed_at":"2026-08-10T20:47:26.425393Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:47:25.735904Z","title":"URL https://doi.org/10.1007/s11263-009-0220-6","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.07429","last_updated":"2025-01-13T15:52:43Z","snapshot_observed_at":"2026-08-16T22:54:19.929872Z","submitted_at":"2025-01-13T15:52:43Z","title":"Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:25.735904Z"},"links":{"citing_paper":"/paper/2501.07429"},"observation_digest":"sha256:6dfa5187fa4445a163dde947f711909d55e8ec33f0a1fbb99c6137c2b05e607a","observation_id":"68742982-0074-48c1-a377-1778e7b86b59","resolution":{"observed_at":"2026-08-10T20:47:25.735904Z","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":"10.1007/978-3-642-15561-1_52","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-13T11:03:48.094449Z","title":"Huan Wan, Hui Wang, Bryan Scotney, and Jun Liu","venue":"Lecture notes in computer science","work_id":"aa57ba72-3d31-4932-803f-6a95b303c5d9","year":2019},"citing_paper":{"arxiv_id":"2501.07429","last_updated":"2025-01-13T15:52:43Z","snapshot_observed_at":"2026-08-16T22:54:19.929872Z","submitted_at":"2025-01-13T15:52:43Z","title":"Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:25.725184Z"},"links":{"citing_paper":"/paper/2501.07429"},"observation_digest":"sha256:02bf357348a445e1ac0d9eb27992e4ad0c7d68481e922c1518e6704be80c6609","observation_id":"9a3c73fd-4a3e-42d3-9cf0-18f012f92c0c","resolution":{"observed_at":"2026-08-10T20:47:25.832050Z","resolver_source":"doi","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:47:25.637729Z","title":"doi: 10.1016/0047-259X(90)90026-E","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.07429","last_updated":"2025-01-13T15:52:43Z","snapshot_observed_at":"2026-08-16T22:54:19.929872Z","submitted_at":"2025-01-13T15:52:43Z","title":"Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices","version":1},"reference_index":1990,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:25.637729Z"},"links":{"citing_paper":"/paper/2501.07429"},"observation_digest":"sha256:279807d501e4264643f633cda82e4f8655dfab3b9105740586a8a6991de9fb62","observation_id":"64ecbee0-18a8-42bb-b313-dc6180d9b8d2","resolution":{"observed_at":"2026-08-10T20:47:25.637729Z","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":"2026-08-10T20:47:26.434291Z","title":"Hershey and Peder A","venue":null,"work_id":"387e9e44-87a7-4387-91a8-92db671d9642","year":2007},"citing_paper":{"arxiv_id":"2501.07429","last_updated":"2025-01-13T15:52:43Z","snapshot_observed_at":"2026-08-16T22:54:19.929872Z","submitted_at":"2025-01-13T15:52:43Z","title":"Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices","version":1},"reference_index":1996,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:25.663835Z"},"links":{"citing_paper":"/paper/2501.07429"},"observation_digest":"sha256:0a6c4760ef192f04aceaf21899b4726b3a80a77eb4d791b39c121161e336dfbc","observation_id":"7fe72cdf-e9a7-40f3-be38-b8502e068187","resolution":{"observed_at":"2026-08-10T20:47:26.438838Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:47:25.689486Z","title":"doi: https://doi","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.07429","last_updated":"2025-01-13T15:52:43Z","snapshot_observed_at":"2026-08-16T22:54:19.929872Z","submitted_at":"2025-01-13T15:52:43Z","title":"Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices","version":1},"reference_index":2002,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:25.689486Z"},"links":{"citing_paper":"/paper/2501.07429"},"observation_digest":"sha256:adc800bbc760e43afa6cb82348178f0897a3330d4ea34cf231d6c4ac96ded434","observation_id":"5ac17d1d-7f22-4d50-a8ca-c0a5449f0f99","resolution":{"observed_at":"2026-08-10T20:47:25.689486Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2003.12383","last_updated":"2020-03-25T14:57:52Z","snapshot_observed_at":"2026-08-17T15:18:19.471006Z","submitted_at":"2020-03-25T14:57:52Z","title":"End-to-End Entity Classification on Multimodal Knowledge Graphs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2003.12383","snapshot_observed_at":"2026-08-10T20:47:25.657345Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2501.07429","last_updated":"2025-01-13T15:52:43Z","snapshot_observed_at":"2026-08-16T22:54:19.929872Z","submitted_at":"2025-01-13T15:52:43Z","title":"Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices","version":1},"reference_index":2003,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:25.657345Z"},"links":{"cited_paper":"/paper/2003.12383","citing_paper":"/paper/2501.07429"},"observation_digest":"sha256:5c86c2433da2ceed292131fc6719b66912126d8bfb038f9ca1e82036820c10e3","observation_id":"66097bbf-9b59-4802-8259-6c4af279880d","resolution":{"observed_at":"2026-08-10T20:47:25.657345Z","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":"2026-08-10T20:47:26.446880Z","title":"Available online: Accessed 2025-01-07","venue":null,"work_id":"b7b11a30-2e3e-4fe7-bf6a-618107b81ef1","year":2025},"citing_paper":{"arxiv_id":"2501.07429","last_updated":"2025-01-13T15:52:43Z","snapshot_observed_at":"2026-08-16T22:54:19.929872Z","submitted_at":"2025-01-13T15:52:43Z","title":"Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices","version":1},"reference_index":2004,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:25.643278Z"},"links":{"citing_paper":"/paper/2501.07429"},"observation_digest":"sha256:4e4e1e4e1e73eecb69e6fff89fdf017d859c948d7b2362640409710af62e395f","observation_id":"a9e7055c-ba09-4b4b-8f1c-6c75aa8b65fc","resolution":{"observed_at":"2026-08-10T20:47:26.452207Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:47:25.685244Z","title":"Peihua Li, Qilong Wang, and Lei Zhang","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2501.07429","last_updated":"2025-01-13T15:52:43Z","snapshot_observed_at":"2026-08-16T22:54:19.929872Z","submitted_at":"2025-01-13T15:52:43Z","title":"Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices","version":1},"reference_index":2005,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:25.685244Z"},"links":{"citing_paper":"/paper/2501.07429"},"observation_digest":"sha256:c64fad1b39aea1b9a813fe0cf1ee6c715eb9e7e1da9106c216ae2950344ad32d","observation_id":"fd13632f-8440-42e6-ab01-2d67d951d12a","resolution":{"observed_at":"2026-08-10T20:47:25.685244Z","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":"10.1007/978-3-642-15561-1","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-13T11:03:48.094449Z","title":null,"venue":"Lecture notes in computer science","work_id":"14d4c621-ca55-4593-952b-ee32711b7ed2","year":null},"citing_paper":{"arxiv_id":"2501.07429","last_updated":"2025-01-13T15:52:43Z","snapshot_observed_at":"2026-08-16T22:54:19.929872Z","submitted_at":"2025-01-13T15:52:43Z","title":"Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices","version":1},"reference_index":2010,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:25.719217Z"},"links":{"citing_paper":"/paper/2501.07429"},"observation_digest":"sha256:308772fe866f716fa03f011c47ac7aebf127daf10865fd38f1fe85493498cf3e","observation_id":"6d824c13-0951-40d5-a7b7-0a06cc5ee4bb","resolution":{"observed_at":"2026-08-10T20:47:25.874753Z","resolver_source":"doi","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:47:25.650830Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.07429","last_updated":"2025-01-13T15:52:43Z","snapshot_observed_at":"2026-08-16T22:54:19.929872Z","submitted_at":"2025-01-13T15:52:43Z","title":"Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices","version":1},"reference_index":2011,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:25.650830Z"},"links":{"citing_paper":"/paper/2501.07429"},"observation_digest":"sha256:6764c9236d99850d3c6aaa25e6ead1b5283312966ebf1f974996083a53c783e8","observation_id":"f1394e8b-37aa-4a79-8c03-da3469bac742","resolution":{"observed_at":"2026-08-10T20:47:25.650830Z","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":"2019.89142","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:47:26.184542Z","title":null,"venue":null,"work_id":"a78cc586-c360-4afc-9df6-94154e0bbabf","year":2019},"citing_paper":{"arxiv_id":"2501.07429","last_updated":"2025-01-13T15:52:43Z","snapshot_observed_at":"2026-08-16T22:54:19.929872Z","submitted_at":"2025-01-13T15:52:43Z","title":"Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices","version":1},"reference_index":2019,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:25.729787Z"},"links":{"citing_paper":"/paper/2501.07429"},"observation_digest":"sha256:d6eb00d24efd1e0d1c796a2b6a24aa5865897c4751c0bc67284b833576c4c3ac","observation_id":"213c190d-a0e5-426f-89aa-c5e9a4880e91","resolution":{"observed_at":"2026-08-10T20:47:26.193842Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:47:25.695129Z","title":"Branislav Popovi´ c, Marko Janev, Lidija Krstanovi´ c, Nikola Simi´ c, and Vlado Deli´ c","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.07429","last_updated":"2025-01-13T15:52:43Z","snapshot_observed_at":"2026-08-16T22:54:19.929872Z","submitted_at":"2025-01-13T15:52:43Z","title":"Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices","version":1},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:25.695129Z"},"links":{"citing_paper":"/paper/2501.07429"},"observation_digest":"sha256:d986f320dd27b021cac01a77e407efa1a5c23f76318033fbe32adf03771088db","observation_id":"1cdcf57d-ff25-4249-bf19-8f530ac1110c","resolution":{"observed_at":"2026-08-10T20:47:25.695129Z","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":"10.3390/math11010175","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:47:25.913591Z","title":"S Rakesh, Nagaratna P Hegde, M Venu Gopalachari, D Jayaram, Bhukya Madhu, Mohd Ab- dul Hameed, Ramdas Vankdothu, and LK Suresh Kumar","venue":null,"work_id":"231e1f0a-9f59-4a01-b11b-2fce76ef027d","year":null},"citing_paper":{"arxiv_id":"2501.07429","last_updated":"2025-01-13T15:52:43Z","snapshot_observed_at":"2026-08-16T22:54:19.929872Z","submitted_at":"2025-01-13T15:52:43Z","title":"Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:25.702997Z"},"links":{"citing_paper":"/paper/2501.07429"},"observation_digest":"sha256:cbbe83d88e099536baa42ef36c92196adbb1e91f3e7f011d5db4cd4027a07475","observation_id":"0e44cab6-3a7a-49a4-ba26-03428ba36ffa","resolution":{"observed_at":"2026-08-10T20:47:25.918560Z","resolver_source":"doi","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"}}],"paper":{"arxiv_id":"2501.07429","last_updated":"2025-01-13T15:52:43Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-16T22:54:19.929872Z","submitted_at":"2025-01-13T15:52:43Z","title":"Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices"},"reference_resolution":{"displayed":15,"state_counts":{"malformed_identifier":0,"metadata_mismatch":2,"parse_uncertain":0,"unresolved":7,"verified_exact":3,"verified_fuzzy":3},"total_outbound_references":15},"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 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2501.07429."}