{"as_of":"2026-08-23T13:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f62ea1109413c7d5dfcf2ceecbcf0be9105c1c7fa950224678290ebd2bee70e5","coverage":[{"denominator":43,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":43,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T12:43:14.292769Z","state":"measured"},{"denominator":43,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":43,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-23T06:30:58.430688+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/1908.07036/citation-record","integrity":"/paper/1908.07036/integrity","json":"/paper/1908.07036/citation-record.json","paper":"/paper/1908.07036"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:43:15.086659Z","title":null,"venue":null,"work_id":"3ff6198b-d3e6-4423-b9d0-72091c5b431d","year":2018},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.063227Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:2cd4a80329ce62496a0d8fcf64afb14b87997b1d99b41476d1057e8ba55ff6c2","observation_id":"a339d3e0-8b60-4c0c-a997-599004e3c40b","resolution":{"observed_at":"2026-08-14T12:43:15.092028Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T12:43:15.068862Z","title":null,"venue":null,"work_id":"c3f1ff1f-6571-4875-bd3f-9e5fccc96f69","year":2013},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.069754Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:ba1114ab1bc6cb966a92a5a493926d0684776d8816ad0ade970f31a804a16879","observation_id":"8cd3eeec-de82-4c01-8523-4f0ddfabea4e","resolution":{"observed_at":"2026-08-14T12:43:15.074164Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T12:43:15.049821Z","title":null,"venue":null,"work_id":"d9625d74-9555-4ba3-9517-90353743a705","year":2014},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.075056Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:916bac55c8ed4e18ac9651bd5b7444b1f37f4b1bd04da2cb4c87f50038a2b4da","observation_id":"3ef20952-674c-4a89-85b5-a633da73a041","resolution":{"observed_at":"2026-08-14T12:43:15.056313Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T12:43:15.032072Z","title":null,"venue":null,"work_id":"c3dcf8fc-0130-4a62-bf59-c78ecda632d5","year":2014},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.084369Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:251bd5069bbb49a2461ba2485b722b80e654dc95f2ff98fbc042e2e66308efde","observation_id":"93855e73-0f0f-4a53-9cc2-be730573e54d","resolution":{"observed_at":"2026-08-14T12:43:15.037932Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1812.03712","last_updated":"2021-02-18T10:05:15Z","snapshot_observed_at":"2026-08-18T21:23:19.356632Z","submitted_at":"2018-12-10T10:11:42Z","title":"Embedding of $RCD^*(K,N)$ spaces in $L^2$ via eigenfunctions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1812.03712","snapshot_observed_at":"2026-08-14T12:43:14.090797Z","title":"Portegies , and David Tewodrose , Embedding of RCD^*(K,N) spaces in L^2 via eigenfunctions , arXiv e-prints (2018), arXiv:1812.03712","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.090797Z"},"links":{"cited_paper":"/paper/1812.03712","citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:0191380244fe452f5f82fad876d0d66f66e9cafccb64a525cfab076a6f2a7a6d","observation_id":"ff86234c-14b0-4c1c-9799-3d589bbeb447","resolution":{"observed_at":"2026-08-14T12:43:14.090797Z","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":"2026-08-14T12:43:15.012843Z","title":null,"venue":null,"work_id":"314ffdf6-59b7-4bd0-bc56-57153b6460ce","year":1999},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.096630Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:2e54b5a854858587e329584cfcdef88e2dc556277acbf71b017878a55aa351a9","observation_id":"7ba36d00-0a87-43d8-bd53-f7c1c70f82a8","resolution":{"observed_at":"2026-08-14T12:43:15.018153Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T12:43:14.103120Z","title":"33, American Mathematical Society, Providence, RI, 2001","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.103120Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:60e15fa8194f126dbfe561513624a40d41453d1c8b87d29ddd079570365c3a03","observation_id":"e2039ce6-e824-42a3-9d43-20c630e3b2dc","resolution":{"observed_at":"2026-08-14T12:43:14.103120Z","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":"2026-08-14T12:43:14.981748Z","title":"Berestovski , Busemann spaces with upper-bounded A leksandrov curvature , Algebra i Analiz 14 (2002), no","venue":null,"work_id":"3caa6bb5-795b-4b38-907b-624410b0b3f8","year":2002},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.108540Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:906899a2c322c594e3aa9c1fe2447c890e0922a786094beb3681a91bc4a56085","observation_id":"e112a714-c062-4228-9f2b-1ef188d50815","resolution":{"observed_at":"2026-08-14T12:43:14.987377Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T12:43:14.964550Z","title":"Bridson and Andr \\'e Haefliger, Metric spaces of non-positive curvature, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol","venue":null,"work_id":"2833db00-525a-463e-8c82-f0585b1b6162","year":1999},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.113277Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:cbedd73a3542eb80e88269532d8180c483176b6afa553b6ffa0a31b30581e0ec","observation_id":"20a35caa-f2b0-4a30-b5ba-9f0f47377e64","resolution":{"observed_at":"2026-08-14T12:43:14.970113Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T12:43:14.946906Z","title":"Berestovski and Igor G","venue":null,"work_id":"097e2d73-4e76-4bc5-bb12-6c1d6e715927","year":1993},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.118099Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:bfda3afdf7c0c209da8a5e4632f95e6682b9112336388fbc72a7fc1c993cc0f0","observation_id":"3570f13e-b3f0-42e8-9b2b-3eb7d404194a","resolution":{"observed_at":"2026-08-14T12:43:14.952302Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1804.07128","last_updated":"2019-09-11T14:31:49Z","snapshot_observed_at":"2026-08-16T05:25:16.956998Z","submitted_at":"2018-04-19T12:58:03Z","title":"Constancy of the dimension for RCD(K,N) spaces via regularity of Lagrangian flows","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1804.07128","snapshot_observed_at":"2026-08-14T12:43:14.123896Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.123896Z"},"links":{"cited_paper":"/paper/1804.07128","citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:9e4983f8a92efca2898778efa09c41f78dec6ddb8e64598276efb01d07c52926","observation_id":"c9077a6c-56d3-4f5e-b7d7-a3dba8a0a657","resolution":{"observed_at":"2026-08-14T12:43:14.123896Z","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":"2026-08-14T12:43:14.927537Z","title":null,"venue":null,"work_id":"a2b5b340-7ebc-4130-a6f3-926ac75e8832","year":1999},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.129144Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:f68ecdf6c630a49e317b8fc40078b89c9850cf7e48a7e233e664c50547f7638e","observation_id":"a815afbe-70b1-431c-bf54-104ad0678f63","resolution":{"observed_at":"2026-08-14T12:43:14.934431Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T12:43:14.133701Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.133701Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:6313f0d481cb4cf50e029c584f52eae071659de9e068da0eb894d413df5d3fa4","observation_id":"a9bb7d09-38d9-4dc9-82a4-c6baf141a66e","resolution":{"observed_at":"2026-08-14T12:43:14.133701Z","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":"2026-08-14T12:43:14.897487Z","title":null,"venue":null,"work_id":"5dc314db-c619-4ad0-b01f-47a61d710be8","year":2012},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.138615Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:e2d29f5d1246e363a42634c09c2df8f5046554d960f6c6f532345094a27bc6c9","observation_id":"0872afcf-ce12-43d0-880c-811be291264e","resolution":{"observed_at":"2026-08-14T12:43:14.903652Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T12:43:14.143517Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.143517Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:1d57e39cf6f40de11f7ba2f9db840314f13738563bbf65e25c30d79216e32736","observation_id":"e9c71716-600f-487f-b265-84f9c8b0b031","resolution":{"observed_at":"2026-08-14T12:43:14.143517Z","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":"2026-08-14T12:43:14.866974Z","title":null,"venue":null,"work_id":"eae322ad-3faf-47f1-b9cb-8249d8bf6bb0","year":2017},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.148385Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:a72b05ec90d1bfa8342727946db35be0bb06d9f91b57127f2d78f718d39c129c","observation_id":"93ff1a3c-03a9-411a-9b88-3b4394ce9cf7","resolution":{"observed_at":"2026-08-14T12:43:14.873195Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T12:43:14.152939Z","title":"Evans and Ronald F","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.152939Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:96edfa5a5d95db959ef630e1a219cc8e8a8f8d1a22da05e812d915b883a3be44","observation_id":"f3c78059-e447-4e7c-a599-88ed3cd5660b","resolution":{"observed_at":"2026-08-14T12:43:14.152939Z","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":"2026-08-14T12:43:14.158129Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.158129Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:e2fb705fe86d4b733a5fe5aa9b6208c5b38d08436e1e07a485752cce5a645c91","observation_id":"4df8af5f-9dc2-41a0-9cbf-9f35cb7add54","resolution":{"observed_at":"2026-08-14T12:43:14.158129Z","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":"2026-08-14T12:43:14.163991Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.163991Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:ad086c9b89e24a00b94c2b440296644c59b1f6dd3db7b0f2185acae3dc6cbbb1","observation_id":"4443e73a-1360-4b3c-ad76-066b4ef48947","resolution":{"observed_at":"2026-08-14T12:43:14.163991Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1607.05188","last_updated":"2016-11-29T17:22:18Z","snapshot_observed_at":"2026-08-14T21:47:55.437614Z","submitted_at":"2016-07-18T17:00:43Z","title":"Behaviour of the reference measure on $\\sf RCD$ spaces under charts","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1607.05188","snapshot_observed_at":"2026-08-14T12:43:14.169162Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.169162Z"},"links":{"cited_paper":"/paper/1607.05188","citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:391b37fff9a01a008a07d6eada25ea9d7e06f09cbef5ab1250a4a644ab2c80dd","observation_id":"bc8ff1df-fb6e-48ed-8acb-e85175852842","resolution":{"observed_at":"2026-08-14T12:43:14.169162Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1902.00942","last_updated":"2021-08-16T09:28:22Z","snapshot_observed_at":"2026-08-16T07:14:12.011507Z","submitted_at":"2019-02-03T18:07:49Z","title":"Measure rigidity of synthetic lower Ricci curvature bound on Riemannian manifolds","version":3},"cited_work":{"arxiv_id":"1902.00942","doi":null,"metadata_source":"pith","pith_arxiv_id":"1902.00942","snapshot_observed_at":"2026-08-14T12:43:14.459253Z","title":"Measure rigidity of synthetic lower Ricci curvature bound on Riemannian manifolds","venue":"math.MG","work_id":"439651dc-2f78-42a9-8866-56f8b3f5c22c","year":2019},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.174407Z"},"links":{"cited_paper":"/paper/1902.00942","citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:b8db7a99f9dd7026f7faee13c6e96b4fe34dd91fea5eb39e2e768206c9b3fd66","observation_id":"cfddaabf-d1d5-4ef1-a9ba-1b40dc085318","resolution":{"observed_at":"2026-08-14T12:43:14.466227Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1905.00123","last_updated":"2019-09-25T02:05:23Z","snapshot_observed_at":"2026-08-19T00:03:51.226531Z","submitted_at":"2019-04-30T22:51:13Z","title":"New differential operator and non-collapsed $RCD$ spaces","version":2},"cited_work":{"arxiv_id":"1905.00123","doi":null,"metadata_source":"pith","pith_arxiv_id":"1905.00123","snapshot_observed_at":"2026-08-14T12:43:14.436990Z","title":"New differential operator and non-collapsed $RCD$ spaces","venue":"math.DG","work_id":"751a2174-8b72-4a8f-9037-e4f85234e60f","year":2019},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.179299Z"},"links":{"cited_paper":"/paper/1905.00123","citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:ccc612e462542eeb096824ec14d425faac48abd6ecc6bbbf0fefb0bc19d51388","observation_id":"4c18cb30-6cfe-4631-8613-221ca51673df","resolution":{"observed_at":"2026-08-14T12:43:14.442092Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T12:43:14.811447Z","title":null,"venue":null,"work_id":"ae6f1906-f547-4dfc-897b-f9634b9faf48","year":2017},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.184260Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:6092df80272598bbe91b63887907ee69a0867116ba61825acf09f83d17e240ee","observation_id":"75d28bc4-9266-4e33-a541-57ccbbcc373a","resolution":{"observed_at":"2026-08-14T12:43:14.816378Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T12:43:14.794271Z","title":null,"venue":null,"work_id":"9c3075de-642a-4a19-ac44-2d8c62b45b11","year":2015},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.189102Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:3730b61c5f3eeab15aae14f830f35c2028cb243b743feeb3142a73077b81582d","observation_id":"fc573de9-4f59-430c-aab7-5cb2c19a2a6c","resolution":{"observed_at":"2026-08-14T12:43:14.799024Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T12:43:14.779040Z","title":null,"venue":null,"work_id":"5e75f2fd-fa63-4922-bbaf-673775926322","year":2017},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.200603Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:5610dea8a6330ab833977238bad1a965cc014f8d1dd7bce3badbb8f2325c2e13","observation_id":"9abb9007-5657-452a-b910-7df885140009","resolution":{"observed_at":"2026-08-14T12:43:14.784021Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T12:43:14.763077Z","title":"51 (2019), no","venue":null,"work_id":"bb8ebae3-6d49-46e5-894f-0311af75e029","year":2019},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.205540Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:b3eb1bc344e2609e91b961030d0a529c862f688875610daaadcdf08aeb7fe335","observation_id":"b77e28bd-3838-4a90-ad3c-b849cd26e778","resolution":{"observed_at":"2026-08-14T12:43:14.768627Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1712.02839","last_updated":"2018-01-20T21:14:27Z","snapshot_observed_at":"2026-08-14T20:05:45.240584Z","submitted_at":"2017-12-07T19:53:37Z","title":"CD meets CAT","version":3},"cited_work":{"arxiv_id":"1712.02839","doi":null,"metadata_source":"pith","pith_arxiv_id":"1712.02839","snapshot_observed_at":"2026-08-14T12:43:14.414474Z","title":"CD meets CAT","venue":"math.DG","work_id":"d28ac30b-dd8c-4581-a6b6-4313a726bf19","year":2017},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.210173Z"},"links":{"cited_paper":"/paper/1712.02839","citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:36ed51ad1c127a01ebbdece7dde38b5d4d3e3a0b6c02a2e8dfaba3b02249cf75","observation_id":"ea71489f-4c08-49e4-9889-550d3b8b3058","resolution":{"observed_at":"2026-08-14T12:43:14.419439Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1901.06966","last_updated":"2019-01-21T15:35:47Z","snapshot_observed_at":"2026-08-14T17:28:07.064039Z","submitted_at":"2019-01-21T15:35:47Z","title":"Weakly noncollapsed RCD spaces with upper curvature bounds","version":1},"cited_work":{"arxiv_id":"1901.06966","doi":null,"metadata_source":"pith","pith_arxiv_id":"1901.06966","snapshot_observed_at":"2026-08-14T12:43:14.383863Z","title":"Weakly noncollapsed RCD spaces with upper curvature bounds","venue":"math.DG","work_id":"f4b51eeb-8741-479b-a79b-023eb8cb9892","year":2019},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.215812Z"},"links":{"cited_paper":"/paper/1901.06966","citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:2970c0c7d5491d803e2ba1f3c4f457e82d0e2125437c5859e427a017dffda00c","observation_id":"6780f4f8-4661-43f4-8633-030ad1c97ff2","resolution":{"observed_at":"2026-08-14T12:43:14.392897Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T12:43:14.745602Z","title":"Reine Angew","venue":null,"work_id":"a6ec920e-69e8-4639-a35b-e1605b92b052","year":2018},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.221407Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:2c904694778b13ab85b183cfeb75d38d195113c3af659dc98bb1924239c13d00","observation_id":"88a6e81e-f55e-4770-a812-ebb2dc3acfc7","resolution":{"observed_at":"2026-08-14T12:43:14.751084Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T12:43:14.725618Z","title":null,"venue":null,"work_id":"6df44b62-52de-4c13-a081-d4cb3d644b13","year":1999},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.226728Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:bd1fd0ad50c03d5dc14d7e7044cdd1e5e53431ab0033181daaf442382b167cbd","observation_id":"a6a3f1f7-8773-460e-8c2c-970f9642b28a","resolution":{"observed_at":"2026-08-14T12:43:14.730678Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T12:43:14.707509Z","title":null,"venue":null,"work_id":"d8a050fa-abaa-4364-98dd-ac6ac1e209bb","year":2018},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.233942Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:fe90ccb1fe1fd5acbf61ccfbd82854f411ababfbc77798fbb10ca9292f0355d7","observation_id":"00ca8abc-4bcf-4eb9-8507-087f6b74c5ec","resolution":{"observed_at":"2026-08-14T12:43:14.713161Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1907.02614","last_updated":"2020-03-31T15:30:30Z","snapshot_observed_at":"2026-08-16T12:13:40.626397Z","submitted_at":"2019-07-04T22:16:54Z","title":"On the topology and the boundary of N-dimensional RCD(K,N) spaces","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1907.02614","snapshot_observed_at":"2026-08-14T12:43:14.238793Z","title":null,"venue":null,"work_id":null,"year":1907},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.238793Z"},"links":{"cited_paper":"/paper/1907.02614","citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:d65a9931befab2e44c9d29531606d729a63c5edad98a11d7a1b2c26f19ad5601","observation_id":"e89ae455-c65c-4a4b-b2f3-345c673f6ab9","resolution":{"observed_at":"2026-08-14T12:43:14.238793Z","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":"2026-08-14T12:43:14.690101Z","title":null,"venue":null,"work_id":"f5f77879-19f9-41f3-afb9-83ddcb592e2f","year":2011},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.243794Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:e10896c68a8929b6330763583ffcb6aa6496ad3f34994c57f9b1e8191ecd890d","observation_id":"e909705d-8f99-4065-9875-53b903289f9b","resolution":{"observed_at":"2026-08-14T12:43:14.695048Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T12:43:14.673480Z","title":null,"venue":null,"work_id":"55750747-dd5f-4bde-a231-e00fbdd11df4","year":2019},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.248566Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:c844718f2e014df3aecc64082eca5b679c47eabecab9f7dc89d532bb27631a39","observation_id":"78e69e12-a6a3-4aff-9042-4ab765671396","resolution":{"observed_at":"2026-08-14T12:43:14.679007Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T12:43:14.657388Z","title":null,"venue":null,"work_id":"f6e30473-894a-4689-bd58-f4f8350c28cb","year":2007},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.254022Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:62c2a4b4cc9456b12cb33cafb53846b90d433ec519f1345fc213a020d84475d2","observation_id":"f468918a-9185-4373-82f0-72afd8e1fb00","resolution":{"observed_at":"2026-08-14T12:43:14.662308Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T12:43:14.258718Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.258718Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:7c9e5fdda3386e009ac88fb31c2c5b2b8c920f3828e529789bcf8e7cf5c30f8a","observation_id":"f7b432da-3c06-408d-85ce-48f45ce64dfa","resolution":{"observed_at":"2026-08-14T12:43:14.258718Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1812.02086","last_updated":"2018-12-05T16:21:26Z","snapshot_observed_at":"2026-08-14T17:48:01.150129Z","submitted_at":"2018-12-05T16:21:26Z","title":"Infinitesimal Hilbertianity of locally CAT($\\kappa$)-spaces","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1812.02086","snapshot_observed_at":"2026-08-14T12:43:14.263283Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.263283Z"},"links":{"cited_paper":"/paper/1812.02086","citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:2cc969f4f89b30778637b1458272c97c5477ad59aee0f813c4a177ed1f11c5c3","observation_id":"037513e3-d69f-444b-96ef-a03a7cb0ff6a","resolution":{"observed_at":"2026-08-14T12:43:14.263283Z","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":"2026-08-14T12:43:14.629927Z","title":null,"venue":null,"work_id":"5950c753-4615-4814-a2b5-d6b1e867cd35","year":2019},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.268158Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:6353c3ad6e148c8bf19de3772b1b040f5dc332d46cf1ca247f39e8224f70cc77","observation_id":"2c935363-ff62-4dd2-a07c-df72056a5e47","resolution":{"observed_at":"2026-08-14T12:43:14.635544Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T12:43:14.612587Z","title":null,"venue":null,"work_id":"cbb520ea-45c6-4767-ba9e-505292ab02fb","year":2007},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.272988Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:f17a4b710694eb816f3ef54376ad4e02aa4c311ce8fd4190411c7fa3a30dbe43","observation_id":"5b7c24b5-e78e-4a43-8f4b-77819b0fcea6","resolution":{"observed_at":"2026-08-14T12:43:14.617984Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T12:43:14.593221Z","title":"Perelman, DC structure on A lexandrov space with curvature bounded below","venue":null,"work_id":"1a29a422-eb12-4996-ad18-b5327a9956ee","year":1995},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.278017Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:28b71f974cdf6d6f25355f9b8c3391184d0ee6e0a417fbe30a9ab45df04e9b10","observation_id":"3ac99ab9-68e7-4d9c-8efc-3a97a5e74916","resolution":{"observed_at":"2026-08-14T12:43:14.598754Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T12:43:14.575511Z","title":null,"venue":null,"work_id":"95867c77-8a79-4a30-8e8b-5d68ce6f7934","year":2011},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.282831Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:c06ebe0d4ce7a65af0f8347ecca71cdd9ff08728e05af1606629409ab0913f6b","observation_id":"f8e2f455-75f5-49c6-9d7d-201335df45b7","resolution":{"observed_at":"2026-08-14T12:43:14.581093Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T12:43:14.556129Z","title":"I , Acta Math","venue":null,"work_id":"1c2b50c2-bacb-4756-ab82-3dd3c50ef0cc","year":2006},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.288018Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:bdb6d6dbc3f8068c25a43ed75e0b77bc84c6113c9a054c11366483cef5e97ed7","observation_id":"7dee0ba8-76f3-490a-a807-06e03fa0ae1a","resolution":{"observed_at":"2026-08-14T12:43:14.562234Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-14T12:43:14.536760Z","title":"II , Acta Math","venue":null,"work_id":"e7a9c4b5-a569-428b-a796-1a2817b1a51b","year":2006},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.292769Z"},"links":{"citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:2eff588f4aff7a5bcf241794acf7cf971b172ce9bff446384e73e77824a0f7fb","observation_id":"a4ac1063-cde5-4308-a738-24084c6a8eff","resolution":{"observed_at":"2026-08-14T12:43:14.542869Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","latest_version":2,"primary_category":"math.DG","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds"},"reference_resolution":{"displayed":43,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":31,"verified_exact":4,"verified_fuzzy":8},"total_outbound_references":43},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:1908.07036."}