{"as_of":"2026-08-12T09:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0da82c64a001721c9281848f31da9494652250b641a55e557e3165325485b2e6","coverage":[{"denominator":20,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":20,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T12:03:33.317326Z","state":"measured"},{"denominator":21,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":21,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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":"2026-06-25T21:44:32.807698Z","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":"2026-07-04T19:10:05.024737Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2509.02074","last_updated":"2026-06-20T05:29:49Z","snapshot_observed_at":"2026-08-05T12:03:29.544788Z","submitted_at":"2025-09-02T08:25:30Z","title":"On the Kolmogorov-Feller weak law of large numbers for the Fr\\'echet mean on non-compact symmetric spaces","version":2},"cited_work":{"arxiv_id":"2509.02074","doi":null,"metadata_source":"pith","pith_arxiv_id":"2509.02074","snapshot_observed_at":"2026-07-04T19:10:05.024737Z","title":"On the Kolmogorov-Feller weak law of large numbers for the Fr\\'echet mean on non-compact symmetric spaces","venue":"math.PR","work_id":"01b14f61-7e15-45a7-b7d2-73d9fa59af40","year":2025},"citing_paper":{"arxiv_id":"2606.24771","last_updated":"2026-06-24T03:07:12Z","snapshot_observed_at":"2026-08-03T14:31:16.195029Z","submitted_at":"2026-06-23T16:31:03Z","title":"Autoregressive Processes on Riemannian Manifolds","version":2},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-06-25T21:44:32.807698Z"},"links":{"cited_paper":"/paper/2509.02074","citing_paper":"/paper/2606.24771"},"observation_digest":"sha256:5e85dcfd41b54f804557bd6965007abd94e38c5676d80763dfb108301f9da656","observation_id":"314f6202-5cb1-4b60-ad2a-a9cf59ee413c","resolution":{"observed_at":"2026-07-04T19:10:05.027035Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2509.02074/citation-record","integrity":"/paper/2509.02074/integrity","json":"/paper/2509.02074/citation-record.json","paper":"/paper/2509.02074"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:03:31.839409Z","title":"write newline","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.02074","last_updated":"2026-06-20T05:29:49Z","snapshot_observed_at":"2026-08-05T12:03:29.544788Z","submitted_at":"2025-09-02T08:25:30Z","title":"On the Kolmogorov-Feller weak law of large numbers for the Fr\\'echet mean on non-compact symmetric spaces","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-05T12:03:31.839409Z"},"links":{"citing_paper":"/paper/2509.02074"},"observation_digest":"sha256:c8f874ca4990cfe76c7a97dfe863e68c45f618e4455341667ea5c12c23db2f42","observation_id":"51b56d8b-e382-4ff8-8ffa-9d7a74566372","resolution":{"observed_at":"2026-08-05T12:03:31.839409Z","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":"2026-08-05T12:03:36.245655Z","title":"( 2011 )","venue":null,"work_id":"2cd218a7-8c9b-474d-80f5-9dbbb7831f0a","year":2011},"citing_paper":{"arxiv_id":"2509.02074","last_updated":"2026-06-20T05:29:49Z","snapshot_observed_at":"2026-08-05T12:03:29.544788Z","submitted_at":"2025-09-02T08:25:30Z","title":"On the Kolmogorov-Feller weak law of large numbers for the Fr\\'echet mean on non-compact symmetric spaces","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-05T12:03:31.940832Z"},"links":{"citing_paper":"/paper/2509.02074"},"observation_digest":"sha256:4e2eab5ce980a5d1c764d7c6b4890d0c7b59e28c933c60ba4898380ec3cc48ef","observation_id":"bbb5c51f-4700-4e60-ad1e-d94492803b4a","resolution":{"observed_at":"2026-08-05T12:03:36.358988Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-05T12:03:36.036561Z","title":", Le , Huiling H","venue":null,"work_id":"8eabc243-83ee-43de-946a-ba80bd1df017","year":2013},"citing_paper":{"arxiv_id":"2509.02074","last_updated":"2026-06-20T05:29:49Z","snapshot_observed_at":"2026-08-05T12:03:29.544788Z","submitted_at":"2025-09-02T08:25:30Z","title":"On the Kolmogorov-Feller weak law of large numbers for the Fr\\'echet mean on non-compact symmetric spaces","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-05T12:03:32.003717Z"},"links":{"citing_paper":"/paper/2509.02074"},"observation_digest":"sha256:46c37f5b2c116712c72b5b9543ec95908bef1aee81dd4159767b648c1b90300b","observation_id":"0c4e44ca-0bbc-44a2-8c30-3858943adb3b","resolution":{"observed_at":"2026-08-05T12:03:36.148923Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-05T12:03:35.770578Z","title":"Patrangenaru , Vic V","venue":null,"work_id":"8d865d05-4044-4dd1-bf08-55b10737c863","year":2003},"citing_paper":{"arxiv_id":"2509.02074","last_updated":"2026-06-20T05:29:49Z","snapshot_observed_at":"2026-08-05T12:03:29.544788Z","submitted_at":"2025-09-02T08:25:30Z","title":"On the Kolmogorov-Feller weak law of large numbers for the Fr\\'echet mean on non-compact symmetric spaces","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-05T12:03:32.085335Z"},"links":{"citing_paper":"/paper/2509.02074"},"observation_digest":"sha256:a6c51e61d1fbb70de8765a46b9715b3124cb1880c1d1d9efb832d37de9388c63","observation_id":"c84ca3dd-86fd-4a8a-88b0-61807e7d37bf","resolution":{"observed_at":"2026-08-05T12:03:35.937337Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-05T12:03:35.534188Z","title":null,"venue":null,"work_id":"27959d78-c654-4f9d-8a56-c67c82246f9a","year":1992},"citing_paper":{"arxiv_id":"2509.02074","last_updated":"2026-06-20T05:29:49Z","snapshot_observed_at":"2026-08-05T12:03:29.544788Z","submitted_at":"2025-09-02T08:25:30Z","title":"On the Kolmogorov-Feller weak law of large numbers for the Fr\\'echet mean on non-compact symmetric spaces","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-05T12:03:32.163203Z"},"links":{"citing_paper":"/paper/2509.02074"},"observation_digest":"sha256:652ca2902c94a4aa9592630cdbda2e68c469ddd6793146ed349e447567bffe14","observation_id":"d20ceb21-4666-4720-9712-338feea506e5","resolution":{"observed_at":"2026-08-05T12:03:35.643824Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-05T12:03:35.377153Z","title":null,"venue":null,"work_id":"dabdc926-cdf7-4652-a525-ec0e1ef68eff","year":2024},"citing_paper":{"arxiv_id":"2509.02074","last_updated":"2026-06-20T05:29:49Z","snapshot_observed_at":"2026-08-05T12:03:29.544788Z","submitted_at":"2025-09-02T08:25:30Z","title":"On the Kolmogorov-Feller weak law of large numbers for the Fr\\'echet mean on non-compact symmetric spaces","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-05T12:03:32.246012Z"},"links":{"citing_paper":"/paper/2509.02074"},"observation_digest":"sha256:c491f9035decdaaa329e5695790ca842f5f2f844e0835e65223b2dc135bd6ee5","observation_id":"cc4b17aa-82bb-44db-a8b9-5d61bac91f3e","resolution":{"observed_at":"2026-08-05T12:03:35.482363Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-05T12:03:35.263261Z","title":"( 1971 )","venue":null,"work_id":"fb3783ff-3c2c-478f-97e5-225d0eaf618e","year":1971},"citing_paper":{"arxiv_id":"2509.02074","last_updated":"2026-06-20T05:29:49Z","snapshot_observed_at":"2026-08-05T12:03:29.544788Z","submitted_at":"2025-09-02T08:25:30Z","title":"On the Kolmogorov-Feller weak law of large numbers for the Fr\\'echet mean on non-compact symmetric spaces","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-05T12:03:32.342299Z"},"links":{"citing_paper":"/paper/2509.02074"},"observation_digest":"sha256:9759a7fd64b8d593f48a1eb6cf22e9da56e5ce04ce6c4d206ad7fd532b29ff4c","observation_id":"8ccdf79a-4d55-44ce-8e1f-7440570adfb7","resolution":{"observed_at":"2026-08-05T12:03:35.305190Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-05T12:03:35.052506Z","title":"( 1979 )","venue":null,"work_id":"3142014e-6f34-47a1-81f5-8bcaac197624","year":1979},"citing_paper":{"arxiv_id":"2509.02074","last_updated":"2026-06-20T05:29:49Z","snapshot_observed_at":"2026-08-05T12:03:29.544788Z","submitted_at":"2025-09-02T08:25:30Z","title":"On the Kolmogorov-Feller weak law of large numbers for the Fr\\'echet mean on non-compact symmetric spaces","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-05T12:03:32.401593Z"},"links":{"citing_paper":"/paper/2509.02074"},"observation_digest":"sha256:09770eeabcf056a87af3d923f51687988ed27ea4b6697b236608c11004de84c3","observation_id":"efd71e04-89a8-438d-aff9-a0938c6b30c4","resolution":{"observed_at":"2026-08-05T12:03:35.155523Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-05T12:03:34.927383Z","title":", Eltzner , Benjamin B","venue":null,"work_id":"cad246c2-2ea7-42d1-89e7-1449ee695fcf","year":2024},"citing_paper":{"arxiv_id":"2509.02074","last_updated":"2026-06-20T05:29:49Z","snapshot_observed_at":"2026-08-05T12:03:29.544788Z","submitted_at":"2025-09-02T08:25:30Z","title":"On the Kolmogorov-Feller weak law of large numbers for the Fr\\'echet mean on non-compact symmetric spaces","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-05T12:03:32.465265Z"},"links":{"citing_paper":"/paper/2509.02074"},"observation_digest":"sha256:dd9a12329c5b0fb1cbbc72ff14a09c1ae7ab1550c82a921dddd0c3a43ab8c6ff","observation_id":"af5bbdab-1faf-4526-9211-79bbfbfc20c3","resolution":{"observed_at":"2026-08-05T12:03:34.960357Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.15764","last_updated":"2025-08-19T14:32:59Z","snapshot_observed_at":"2026-08-02T09:19:55.351783Z","submitted_at":"2024-07-22T16:17:36Z","title":"Huber means on Riemannian manifolds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.15764","snapshot_observed_at":"2026-08-05T12:03:32.546368Z","title":"Jung , Sungkyu S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.02074","last_updated":"2026-06-20T05:29:49Z","snapshot_observed_at":"2026-08-05T12:03:29.544788Z","submitted_at":"2025-09-02T08:25:30Z","title":"On the Kolmogorov-Feller weak law of large numbers for the Fr\\'echet mean on non-compact symmetric spaces","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-05T12:03:32.546368Z"},"links":{"cited_paper":"/paper/2407.15764","citing_paper":"/paper/2509.02074"},"observation_digest":"sha256:daba875e547d6fead1cb8ab82aa5859f3d26a1770ca802b9a98b07613721982d","observation_id":"0e4ebf0e-e022-4494-8aeb-7552bd158613","resolution":{"observed_at":"2026-08-05T12:03:32.546368Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.16149","last_updated":"2026-06-20T05:25:15Z","snapshot_observed_at":"2026-08-05T17:33:58.987382Z","submitted_at":"2025-08-22T07:17:22Z","title":"General M-estimators of location on Riemannian manifolds: existence and uniqueness","version":2},"cited_work":{"arxiv_id":"2508.16149","doi":null,"metadata_source":"pith","pith_arxiv_id":"2508.16149","snapshot_observed_at":"2026-08-05T12:03:33.566234Z","title":"General M-estimators of location on Riemannian manifolds: existence and uniqueness","venue":"math.ST","work_id":"43c78061-1fb3-4464-a585-08f5e8a4dc02","year":2025},"citing_paper":{"arxiv_id":"2509.02074","last_updated":"2026-06-20T05:29:49Z","snapshot_observed_at":"2026-08-05T12:03:29.544788Z","submitted_at":"2025-09-02T08:25:30Z","title":"On the Kolmogorov-Feller weak law of large numbers for the Fr\\'echet mean on non-compact symmetric spaces","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-05T12:03:32.612401Z"},"links":{"cited_paper":"/paper/2508.16149","citing_paper":"/paper/2509.02074"},"observation_digest":"sha256:73ff2022f9e69e0a5bc7df0a1278cd205b95cb81dc2db3839b64b5a8bd230f6e","observation_id":"9e95cff5-a160-4bf5-9397-af4cfe6a6052","resolution":{"observed_at":"2026-08-05T12:03:33.621148Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-05T12:03:34.794740Z","title":", Matu a , P P","venue":null,"work_id":"6b23c1fb-9c56-4f64-9f39-51c77d3e396d","year":2019},"citing_paper":{"arxiv_id":"2509.02074","last_updated":"2026-06-20T05:29:49Z","snapshot_observed_at":"2026-08-05T12:03:29.544788Z","submitted_at":"2025-09-02T08:25:30Z","title":"On the Kolmogorov-Feller weak law of large numbers for the Fr\\'echet mean on non-compact symmetric spaces","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-05T12:03:32.719337Z"},"links":{"citing_paper":"/paper/2509.02074"},"observation_digest":"sha256:5ac47b4a0af9dd9ccbfd9416ab89e005b4fa8fe1366108fcd9c7a4225ab5e1a1","observation_id":"922f6c4c-7c9a-43ad-a4ac-52b8861e7814","resolution":{"observed_at":"2026-08-05T12:03:34.867455Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1906.07418","last_updated":"2019-06-18T07:42:29Z","snapshot_observed_at":"2026-07-06T08:01:03.912340Z","submitted_at":"2019-06-18T07:42:29Z","title":"Curvature effects on the empirical mean in Riemannian and affine Manifolds: a non-asymptotic high concentration expansion in the small-sample regime","version":1},"cited_work":{"arxiv_id":"1906.07418","doi":null,"metadata_source":"pith","pith_arxiv_id":"1906.07418","snapshot_observed_at":"2026-08-05T12:03:33.391826Z","title":"Curvature effects on the empirical mean in Riemannian and affine Manifolds: a non-asymptotic high concentration expansion in the small-sample regime","venue":"math.DG","work_id":"21355888-ed02-4053-a07f-aadfcad4405a","year":2019},"citing_paper":{"arxiv_id":"2509.02074","last_updated":"2026-06-20T05:29:49Z","snapshot_observed_at":"2026-08-05T12:03:29.544788Z","submitted_at":"2025-09-02T08:25:30Z","title":"On the Kolmogorov-Feller weak law of large numbers for the Fr\\'echet mean on non-compact symmetric spaces","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-05T12:03:32.786154Z"},"links":{"cited_paper":"/paper/1906.07418","citing_paper":"/paper/2509.02074"},"observation_digest":"sha256:42c21aab2765d48828d5d154ece65e47f34e84c7e6ac1ff505160f2005989e87","observation_id":"76ba8b73-e2ba-4572-afdc-285e4acbc2c0","resolution":{"observed_at":"2026-08-05T12:03:33.479461Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-05T12:03:34.644194Z","title":", Fillard , Pierre P","venue":null,"work_id":"f947fffb-1b35-4ed1-92f1-b86a5c1ef981","year":2006},"citing_paper":{"arxiv_id":"2509.02074","last_updated":"2026-06-20T05:29:49Z","snapshot_observed_at":"2026-08-05T12:03:29.544788Z","submitted_at":"2025-09-02T08:25:30Z","title":"On the Kolmogorov-Feller weak law of large numbers for the Fr\\'echet mean on non-compact symmetric spaces","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-05T12:03:32.909493Z"},"links":{"citing_paper":"/paper/2509.02074"},"observation_digest":"sha256:65645451f6b3a0475450543060fcae7624592a96110b7713bc4a42992075c0f8","observation_id":"a016ab4b-a29a-4358-a3a8-29d290c1bedd","resolution":{"observed_at":"2026-08-05T12:03:34.732149Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-05T12:03:34.520181Z","title":"( 2022 )","venue":null,"work_id":"8a8b2c0b-6cb0-4f65-8b3d-c95cfdd51436","year":2022},"citing_paper":{"arxiv_id":"2509.02074","last_updated":"2026-06-20T05:29:49Z","snapshot_observed_at":"2026-08-05T12:03:29.544788Z","submitted_at":"2025-09-02T08:25:30Z","title":"On the Kolmogorov-Feller weak law of large numbers for the Fr\\'echet mean on non-compact symmetric spaces","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-05T12:03:32.980823Z"},"links":{"citing_paper":"/paper/2509.02074"},"observation_digest":"sha256:33bb65b954be72f10f30d748a193d1237666588d8bdb8aa3b29a38adcf4c9405","observation_id":"bfeb2e79-4568-484b-8b49-23a7d93adf37","resolution":{"observed_at":"2026-08-05T12:03:34.591440Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-05T12:03:34.384970Z","title":"( 2025 )","venue":null,"work_id":"42f43b76-b897-447c-80e1-f002fdc1faf1","year":2025},"citing_paper":{"arxiv_id":"2509.02074","last_updated":"2026-06-20T05:29:49Z","snapshot_observed_at":"2026-08-05T12:03:29.544788Z","submitted_at":"2025-09-02T08:25:30Z","title":"On the Kolmogorov-Feller weak law of large numbers for the Fr\\'echet mean on non-compact symmetric spaces","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-05T12:03:33.051339Z"},"links":{"citing_paper":"/paper/2509.02074"},"observation_digest":"sha256:fc48092e1b55a34f66a6342188b1d1be73f65529caa349c8122e919c0951cbb0","observation_id":"8077b5d9-d3d2-4ae2-bae4-1a92cb9ef8df","resolution":{"observed_at":"2026-08-05T12:03:34.455972Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-05T12:03:34.155219Z","title":"Li , Deli D","venue":null,"work_id":"a2f09814-ae20-4073-9a08-65e8f8100420","year":2010},"citing_paper":{"arxiv_id":"2509.02074","last_updated":"2026-06-20T05:29:49Z","snapshot_observed_at":"2026-08-05T12:03:29.544788Z","submitted_at":"2025-09-02T08:25:30Z","title":"On the Kolmogorov-Feller weak law of large numbers for the Fr\\'echet mean on non-compact symmetric spaces","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-05T12:03:33.099152Z"},"links":{"citing_paper":"/paper/2509.02074"},"observation_digest":"sha256:23f8fcb199ae37facf20852205f9851bdf5e1b628e3a3b9cf52c5a47dc4f2c03","observation_id":"e283af99-517b-418e-84cf-0ccf2bb19345","resolution":{"observed_at":"2026-08-05T12:03:34.254755Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-05T12:03:33.977553Z","title":"( 2003 )","venue":null,"work_id":"bf21c96b-80c1-4830-b3ec-0e7fc056a42c","year":2003},"citing_paper":{"arxiv_id":"2509.02074","last_updated":"2026-06-20T05:29:49Z","snapshot_observed_at":"2026-08-05T12:03:29.544788Z","submitted_at":"2025-09-02T08:25:30Z","title":"On the Kolmogorov-Feller weak law of large numbers for the Fr\\'echet mean on non-compact symmetric spaces","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-05T12:03:33.208822Z"},"links":{"citing_paper":"/paper/2509.02074"},"observation_digest":"sha256:583ebc9d4fa344af6eeeb58a11935efe3182c3ff6e4501e5fff779695316aaf2","observation_id":"eef230b4-a3fa-44b1-b0ad-b1d384771c58","resolution":{"observed_at":"2026-08-05T12:03:34.045252Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-05T12:03:33.845190Z","title":"Hu , Xuemei X","venue":null,"work_id":"941c5550-4415-4c14-b1d7-ff5f095464f4","year":2015},"citing_paper":{"arxiv_id":"2509.02074","last_updated":"2026-06-20T05:29:49Z","snapshot_observed_at":"2026-08-05T12:03:29.544788Z","submitted_at":"2025-09-02T08:25:30Z","title":"On the Kolmogorov-Feller weak law of large numbers for the Fr\\'echet mean on non-compact symmetric spaces","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-05T12:03:33.292011Z"},"links":{"citing_paper":"/paper/2509.02074"},"observation_digest":"sha256:f6e7cab25a2b723ffcfa415265a303ec0bcb8c4369bdaaee2b4daf457d53e50d","observation_id":"1b98998b-e164-4ea7-9dd5-84833cc27ab8","resolution":{"observed_at":"2026-08-05T12:03:33.914343Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-05T12:03:33.692909Z","title":"( 1977 )","venue":null,"work_id":"15e77e06-ee30-4a6f-84f2-d0084b858787","year":1977},"citing_paper":{"arxiv_id":"2509.02074","last_updated":"2026-06-20T05:29:49Z","snapshot_observed_at":"2026-08-05T12:03:29.544788Z","submitted_at":"2025-09-02T08:25:30Z","title":"On the Kolmogorov-Feller weak law of large numbers for the Fr\\'echet mean on non-compact symmetric spaces","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-05T12:03:33.317326Z"},"links":{"citing_paper":"/paper/2509.02074"},"observation_digest":"sha256:a71f8463134b0bfad8158f08984b45eac0a0c252c4879ffcd29947896ce549d0","observation_id":"a3c5dbc9-f0b9-435b-a2b4-dc427ad2a041","resolution":{"observed_at":"2026-08-05T12:03:33.762698Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2509.02074","last_updated":"2026-06-20T05:29:49Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-05T12:03:29.544788Z","submitted_at":"2025-09-02T08:25:30Z","title":"On the Kolmogorov-Feller weak law of large numbers for the Fr\\'echet mean on non-compact symmetric spaces"},"reference_resolution":{"displayed":20,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":2,"verified_fuzzy":14},"total_outbound_references":20},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2509.02074."}