{"as_of":"2026-08-16T08:57:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:07430be2ca7e2dc92b70c8549677cb5f7faf22fef6c0cc2402a77faab26d18cc","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":"2026-08-16T06:30:59.297886+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":"2026-08-16T03:34:09.918671Z","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":"sha256:41a00af65e1d8093edc48bf0db45d5002dd780609e03b0174bd1e9ce267a64a9","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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:e396d83f0efcea670f9ff67576ff286ef231238187664a0290aa792f627fc631","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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":"sha256:2f3a9df815f461c79e33f505eec79a2f4afd13f9f53fedc1c8d686696983beff","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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":"sha256:1aac34dc004e1daac58eb992cd644090d1f112a5f8e7d7797ad2325bc7fea15f","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1812.03712","last_updated":"2021-02-18T10:05:15Z","snapshot_observed_at":"2026-08-14T17:46:07.811510Z","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":"2026-08-16T03:34:09.918671Z","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":"sha256:51f93d8e24c821ec7dffac60efbccfd9a4472917f3291d2f0ac7d545159dc225","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":"2026-08-16T03:34:09.918671Z","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":"sha256:70359a0d3344c649b907df5c8903becf329a96fad57e14cc3f2e2b3f36c0321f","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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:d0704f3a84ce9e0a99736029169890b2fddafbcacddeff7020cc97078b749b60","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":"2026-08-16T03:34:09.918671Z","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:d0941e4e5898524b1e69819dd6021f272c91a10bb0afc5166f9cef035270db36","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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":"sha256:2d63db1ae579ef6d7d3e0555fc85d05e06818b5f37a342fadd76be05a09a3321","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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:bfbb374893eb245f4b5ac7edb9b9ab71b2dd9c5e5253e744434b5ab4be192ff7","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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":"sha256:7fcdc80cb62047bf008ed928e4f668ee9d0090cb80c6382f1831df7535f827d1","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":"2026-08-16T03:34:09.918671Z","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":"sha256:8b764417ee3593766f1453d348aa5a0f8a46e4be99899f6403b631ff86a5523d","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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":"sha256:205ed13caff31f0a5f437b1350c0008ed1f138e29d67ee097c3af89e3115386c","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":"2026-08-16T03:34:09.918671Z","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":"sha256:37584e5c44bff943b3cf6bf7abc283b0653049b249ddd8f558f4d51e0667cc08","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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":"sha256:1a434dc7b60f53bc87b7f37e85561923fb2d406f25aacd73db4ea42f3a745e00","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":"2026-08-16T03:34:09.918671Z","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":"sha256:3534dcbb190b492a817c97d6797e4739ec97cbfb9fe9e43f290c216b9f7a38fe","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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":"sha256:84d9154f8d04172d134c73c532b4b7094b03ae4ce2966c2c78be7ce18973be8a","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":"2026-08-16T03:34:09.918671Z","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":"sha256:177eb7a0225d4b0dbaf27b90d6057705f157cf7a2e0e711bb221e6dcc55739cc","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":"2026-08-16T03:34:09.918671Z","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":"sha256:9335fb273c9e8616ae589e7f15a8c5936c66876f220a353d830958295e7917fb","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":"2026-08-16T03:34:09.918671Z","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":"sha256:1ffcae27395e21ac0b8cfb72b5325054341001156b00e7feab4c7bbe4db0a53d","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":"2026-08-16T03:34:09.918671Z","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":"sha256:26f55868d961a648141e4041853aa20631e4235d73945e28fcbdfd9084a355b7","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1905.00123","last_updated":"2019-09-25T02:05:23Z","snapshot_observed_at":"2026-08-14T16:39:02.735003Z","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":"2026-08-16T03:34:09.918671Z","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":"sha256:01abd881dba8d03c7c87b06fd837780ba9a4dfe6e64d21b29fcd0e71fc5ce163","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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:ae0dd551b608f093a7587f8dda3e9b564bb44341216d04f4cd3fd050eb4f776d","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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":"sha256:7cee2a17f97639c10a6052ad48123c39afdf2be7051cd562e5dc5cad8e3c9c73","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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":"sha256:7e96a57dbfe5dca102ce8872539353ba375e13f7c0d919a5248af202695cac77","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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:b13f2816185fd08f2b26a7b76de926fca7443ccfec0baaf8c6174bfdd399acb7","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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":"sha256:1eb0a3e3ab326db0486032d567b4b25ca6e4a31e10eb36be451dde853a4620a6","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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":"sha256:7582d59e2c45e7faea3f517337bb281e4f2a47a0a29eb7b8a2f4585e4a8995ff","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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":"sha256:6a66394cf35f4243d03052438610c7fb39a95724de03ae641af05a2d0aedeb57","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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:b097d6840dadfc37d4a874c39bb1057bde7536e995435f441d8483fc37d7d1fc","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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:a620bc982eaa2bf79c2e2ae191b228481382531a144498bcc23ba2be9079e3a7","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1907.02614","last_updated":"2020-03-31T15:30:30Z","snapshot_observed_at":"2026-08-14T16:08:35.989658Z","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":"2026-08-16T03:34:09.918671Z","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":"sha256:9f484512494bea5b84b24e925a32eda8336915c3bb0baad701addfaa79b45c3a","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":"2026-08-16T03:34:09.918671Z","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":"sha256:2cc639b86acda0fe07d1e5a8a6ea4277cead9a42d6404f78e0459b4689f75833","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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":"sha256:1dfce879e0232511931f2fc87c860eb141c61d2602b6068ddb830a296a199787","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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":"sha256:1c5f32d749a9e59bf9ce4b4333d85b556a290662410f0384cb7f36f5335c249b","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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":"sha256:8269d6c1d0f88742e41a04206a2834439f96122a21b64edf987acc760777795e","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":"2026-08-16T03:34:09.918671Z","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":"sha256:80ac24d3b53b223a9b645afce33a86b6bc4f24ebe87d0f3ac50ede612e03f795","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":"2026-08-16T03:34:09.918671Z","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":"sha256:88a750f6cfbbb91833f1cbf52a365e85044de6e4c93b94d9e2d85261985e4c73","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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:d70943b4dc87ede1ebc114eca689dd261d96f7317ce1b27db34497f30b3660c1","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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":"sha256:49f77a0590458127a2a19e599d82c14b2734934c897b267a23a8b06a167514ac","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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":"sha256:16cccb7b546eb80aeda64d3da7f8e8fd71fc5777c1c644dde1c696579612f563","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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":"sha256:979d15e99229d7d3c9d41a3310fe9cddba7afa1142d545cdf7158ad9c0e4cc83","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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:ca130ec62c46061d221b9a72d1f20ed97d114a65b006cefd556cd3bb9f394d92","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 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T03:34:09.918671Z","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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:1908.07036."}