{"as_of":"2026-08-08T17:57:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f050a84417a0c6c62fdfaa8ac55389329ab7878a92f8f0f673877607dec2e50b","coverage":[{"denominator":98,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":98,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-26T19:54:20.411216Z","state":"measured"},{"denominator":98,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":98,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2606.19189/citation-record","integrity":"/paper/2606.19189/integrity","json":"/paper/2606.19189/citation-record.json","paper":"/paper/2606.19189"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Ambrosio","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:fe633f0e30e86e8d2469d21bce955f51ca4133582d6ea87e04df479ca56f09ff","observation_id":"fa652c17-7736-4d1e-9e7f-251d5ce1716d","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Ambrosio, N","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:e27ed57ab35bebe59e2b70f7bb0c17a76c777b530798df5d3a3cb3e91b91de14","observation_id":"0cc5223c-dbc2-427f-b0fc-841f3f2fca42","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Ambrosio, A","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:dc44a530042d10ba421899fc562fcc1bcc8e9b862d831fcb527248e48198c3f9","observation_id":"a224eece-a18c-44a0-a1cd-8aaf65079cbf","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Anderson","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:34e7226c2b3700f6c184f56ca214b50911c2e1c28723e60a00e0812a27d51d54","observation_id":"748366d7-dfe7-4831-b798-fb340837dbec","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Bacher and K.-T","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:c7234e0402708e65191113ae1345fe0099246bbacda4d6e7ae61b3bd96b27bd6","observation_id":"42ece099-7f49-4e18-9f56-c77292befe58","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Brena, N","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:2130c457262cf04d1563aa98a5d32e03978249d5af7f7f7ceffb80a45bce0c3b","observation_id":"f7ab996b-717f-4eac-9b73-ea5258b9b29e","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Breuillard, B","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:4f47eaa9e236dac6df02a6122b20bd816bd13860a295d702482edcb462de0801","observation_id":"582b3f39-d288-458e-bd01-bea5615e233f","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:32d64f33f7f794a79cd3ae2db82b8a53be6b152b568753b3e27866ab470228ff","observation_id":"813fb0a5-12da-4520-9c82-b4d504b43ff6","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.03839","last_updated":"2024-05-06T20:42:06Z","snapshot_observed_at":"2026-08-05T14:32:00.524915Z","submitted_at":"2024-05-06T20:42:06Z","title":"Topological regularity and stability of noncollapsed spaces with Ricci curvature bounded below","version":1},"cited_work":{"arxiv_id":"2405.03839","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2405.03839","snapshot_observed_at":"2026-07-04T02:19:22.673725Z","title":null,"venue":null,"work_id":"a621e140-e8b8-45e6-bf8c-239dfb2cfac4","year":2024},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"cited_paper":"/paper/2405.03839","citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:0e06ef794a4d9fddce07adf9a5c742d41a28203f904a1e40f39d069f6f5d05cd","observation_id":"6728eb96-d545-41e5-804b-bdeb11c5f370","resolution":{"observed_at":"2026-07-04T02:19:22.675433Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:372c3c6a8c514c74ac8e7ee1c4b409608b8b0b1a740e7f2382dc1ae13430b865","observation_id":"0deb3712-69ea-46e3-b0ee-031d82d3e747","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Brué and D","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:101456fd99ea43e270f0b0ab4872fdd41e683049eb4e48de3bb11760df8585c6","observation_id":"84024c14-bacf-49d8-a386-8f4d79acebdb","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Burago, Y","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:dd40354f9cec67b609e503ae5d0353be982e149f7bf7d89c5f6d2f6f4fb930cf","observation_id":"1a94f0d2-e1e0-4e1c-8dfb-9cc45c722d4d","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Cavalletti","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:6ddcacc233bb6de9a66d29538bd57f009124814097182495c840736980fb2b07","observation_id":"605cfa3e-f410-4a55-b111-d7b111cccba9","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Cavalletti and E","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:e09913ec4d3612e13c3e55568238120b118c017d4d7675a74910ab1756ae9edc","observation_id":"533de809-ec2d-491f-92b0-dd6743462d95","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Cheeger and T.-H","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:6fb978fcea078aed2a6f4d3c8cb1c554386bfd95c1ebf3899526d78f6422a597","observation_id":"275f227a-1da5-489a-8064-adb1d4806ee1","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Cheeger and T.-H","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:a79c667698442cdfbaea052e01bdbe6c909ccc6e19f4b4bad25b40442fe7c510","observation_id":"b79d6d98-ad18-4c1a-92d7-059999ce020c","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Cheeger and T.-H","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:ccd1d85dff93ec0172a6561e3ad5afde702ae0e6fdeb7742bc88eebd2a79177f","observation_id":"e04df657-b362-4e74-9f9f-141399314ddd","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Cheeger, T.-H","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:62f9288fd787cd97c455ea6f3090ba3b1658d25ab7e573ade49aa6494754086c","observation_id":"579770ad-48bb-4383-94cd-4164a8024bc9","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Cheeger, K","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:acececf5193d0950e70e14df2fb59b98a2f29f5c2af33495a43743c000760dca","observation_id":"e3be333f-5670-47e8-bb83-17e3198452c0","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Cheeger and D","venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:db60abbf00aa37f43ea6e9658d2813e81ecc537fe3e6239bf3e9b04d17366920","observation_id":"f4c15f6c-feff-42d2-81f3-241431a89338","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Cheeger and M","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:d7d0d987dc893bafe26c0e8dd5db3f20c8d5ea74c5a36bc8a8f92b207b0ef72c","observation_id":"348e5600-d51f-4b49-8e9f-c62e57e54501","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Cheeger and M","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:b06ce4f167e926d3526d9256cecaefb6dda296c18e5d584db6e7010b230d677e","observation_id":"c7037c46-c138-44ba-b572-e0bd291fa8f0","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Cheeger, W","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:9e1849c3eafdc28a12e93b25addd211e42d8cd6b4210ef470d8722725beac352","observation_id":"ba5b35c2-9a30-466f-8bb4-28bf45324575","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Cheeger and A","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:971082885229ecad531f7fb75df955d4afe2dc323c499d7d0767690a909ad889","observation_id":"6163582f-bc37-4c8d-9bb8-655b73591052","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Cheeger and G","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:1917ae44061acbf31aa2b7a49f3a0ce8ae14e9066ee32c74d067500bcfcd9cec","observation_id":"d8728cf9-f854-4eaa-9da3-c41953f08392","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.08306","last_updated":"2025-05-19T07:55:27Z","snapshot_observed_at":"2026-08-07T20:58:14.830406Z","submitted_at":"2024-06-12T15:06:29Z","title":"2-regular points in Ricci limit spaces","version":2},"cited_work":{"arxiv_id":"2406.08306","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2406.08306","snapshot_observed_at":"2026-07-04T02:19:22.678190Z","title":null,"venue":null,"work_id":"48c7704a-d3e6-4e21-a7ee-f2b15dd558a8","year":2024},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"cited_paper":"/paper/2406.08306","citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:ebbeaac493b1785d4bf9b971e4aba7e902a4dedf34fb7a34ca248bb5a9a66a7e","observation_id":"22bd1166-9195-47ff-b97e-f81f4c4a939c","resolution":{"observed_at":"2026-07-04T02:19:22.680060Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:ad186de75cb9921a0d3dc40f13129c50f4c38f2d2741e4ed66a306acabfaf142","observation_id":"dd493ca4-dda0-4539-a74e-0084ae9084fc","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"urzeste Wege und Totalkr\\","venue":null,"work_id":null,"year":1935},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:304af5bb0e1a7d3697777b19fa68c743c195c19c486a614329b2a5af1ccb9774","observation_id":"25c4b931-5298-4eea-bd37-b03a14cdc4b5","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:13472d76291361545e48fe1762436c4116b7e4befa269c4d3338c9fac16a2a66","observation_id":"f4779f2c-2a39-44fe-bb5f-80ef7a5bbfdd","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:6f08b8540712f44da5938a8f270680824c6eed4d0ea1597c360e342388a19cba","observation_id":"e4d025e2-5501-477b-9760-aeb3815cc72c","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Colding and A","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:921b4583366388b4fa516f059ba11b5e07e80ce8b3680eb0231424c7b2108684","observation_id":"a8359d9d-a51f-4a6e-96dc-0408814ece2a","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Colding and A","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:fa9d643ddaff97a58292208d09eb19569e3ef429f87a2bfd4799b749f1c5d014","observation_id":"7bdd6eb7-d0b9-49e3-8f83-5e695cc3317b","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","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":"2601.14231","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-04T02:19:22.674420Z","title":"Cucinotta, M","venue":null,"work_id":"0d228562-1465-40a9-af7e-14cf4559339a","year":2026},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:f5a7c6a604e95cbe6dc27ef4de4b09f80a3892501d94f31109c40af1318a9b35","observation_id":"c3741b0c-f1d0-420c-994c-787125de404a","resolution":{"observed_at":"2026-07-04T02:19:22.676216Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-26T19:54:20.411216Z","title":"De Philippis and N","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:794805f78095f7c30ba4dcdd7fc2d1196bde828bddf1e3c189b8827ec2c2975b","observation_id":"d968bae5-a1cb-4a56-ae61-8d27dd1647bf","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"De Philippis and N","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:5b4e93409707463e671595fa3ea3c339fbcca11c1642a82bb8e772d9e77227c5","observation_id":"84db64ab-9191-4a7b-a8bf-a10ca4c0388a","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:2be1d916f1c9e0dd40a2c7aaa05e97400d830408d5886fc27fa00aa34746ff18","observation_id":"de635d67-48c8-407e-a7f1-e50094903a85","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:168f65ca976a678cca1ab19186c0691d01fdf6a475a0d4d36d39160332cd36a8","observation_id":"8eacacca-cdd0-40e9-9900-0e6e3f0503dc","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","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":"2512.21961","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-04T02:19:22.662593Z","title":"Deng and A","venue":null,"work_id":"26fa2cc6-4d8c-42b3-a349-b3ca1555da65","year":2025},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:b74bf0ea057aaf71096f81492258033d46bdfb2cfcef7399d8a1d5e534bcbf3c","observation_id":"a989de98-43fe-4213-a2d0-b051fbcfc0af","resolution":{"observed_at":"2026-07-04T02:19:22.664773Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:93c5782942eff210864e0166ee550ccabb5f65fe5e118a4df208ce73a66f9a27","observation_id":"bacd281d-321c-4025-8958-285fa3ba74e7","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Eguchi and A.-J","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:15dc8fba8ef4c4a7cdf3d5bfd835ec752cb538228764b6b4e977677253dcb3e6","observation_id":"609f2722-54d6-4a18-a90e-adc74de23c8c","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Erbar, K","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:42c610e30ca4bb0e69977c00f1df55a2e0a642866e9da93bf9d38480725bfddc","observation_id":"25ca6d08-3c43-40b8-90e0-9a59527bd967","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:26425611782aef391016d63ae95cad483f258170fcf75eb0a608afee81ee3024","observation_id":"32e37ec5-38c8-4fb1-8082-4079b05a07e2","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:befca1619a4a778f28711426709bf5950509b8b7b228c4a328572a8ac1866c16","observation_id":"157a8c1c-8fd5-41a5-90cd-6f413c902453","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:c42c39eb2620b36950101e588707421bade6fedd1ad321238f2aea82815e5b1b","observation_id":"097536d5-5e54-4762-a720-f5f52a697684","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:0a838fc6305c439d74dd7649a87f3005fece791c1b0e15dfafc806c26b9ab873","observation_id":"a2cf688a-c11d-4a3f-a49a-e2920f028e0f","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1302.5555","last_updated":"2026-04-29T10:28:05Z","snapshot_observed_at":"2026-08-07T21:18:03.665699Z","submitted_at":"2013-02-22T11:28:54Z","title":"The splitting theorem in non-smooth context","version":2},"cited_work":{"arxiv_id":"1302.5555","doi":null,"metadata_source":"pith","pith_arxiv_id":"1302.5555","snapshot_observed_at":"2026-07-04T02:19:22.659085Z","title":"The splitting theorem in non-smooth context","venue":"math.MG","work_id":"85a5e9d3-dad4-4aef-acf0-bcdc6c1a4c1c","year":2013},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"cited_paper":"/paper/1302.5555","citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:20a7e3fce736c707a25f2f84b7a3c4dd0058e1af43bbc3f886ea30128c360bcc","observation_id":"3143e938-a803-41c6-bffe-cb9d65449cc2","resolution":{"observed_at":"2026-07-04T02:19:22.661152Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:4cabf76cc3fbc4582cbcf77e368b1be80cd3114afe7a1e8a51f5cab39b1df1a7","observation_id":"57c3f110-1609-463b-a078-f10002d11a7e","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.14604","last_updated":"2023-06-26T11:27:55Z","snapshot_observed_at":"2026-08-08T05:45:22.080002Z","submitted_at":"2023-06-26T11:27:55Z","title":"De Giorgi and Gromov working together","version":1},"cited_work":{"arxiv_id":"2306.14604","doi":null,"metadata_source":"pith","pith_arxiv_id":"2306.14604","snapshot_observed_at":"2026-07-07T18:44:06.132186Z","title":"De Giorgi and Gromov working together","venue":"math.MG","work_id":"b38743ff-bd46-414f-9811-45e948e088f7","year":2023},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"cited_paper":"/paper/2306.14604","citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:ee28011abf1f5a4b80c0924fa08b5ef054031213beab96c280e2089b68f2c51a","observation_id":"3a3320a9-d2b2-4a4b-8746-a0b41835c4e6","resolution":{"observed_at":"2026-07-04T02:19:22.673001Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-26T19:54:20.411216Z","title":"Gigli, A","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:f390bc05077453028822967f3cbf83f50c6778467e74bc4df1c041d740c0ac40","observation_id":"9d9b84d4-f49b-4159-ab2b-139dc9d86295","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:a0703924aa6cd9f3c14d427aeddbcf2fd1db31b6d697d26c4c7f5cb62dc1eb37","observation_id":"c4c4f11b-2845-4024-8688-f9c20b1cab83","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:981333399a36d07529f077bb20bd6bb7ae9c773fde8736861b7cb427e9ef7f88","observation_id":"3b695fcc-f34e-4540-a763-de8108f9522a","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:482e7685ffbeb7630b14bfbe7578f6b68857e02fc7d5b2659fe65450a10d8f88","observation_id":"28bb7ddf-20d1-4a60-9e31-62dba7b269c1","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:4754ee2abd21ff2311602db0b7f9bb2ac22ad6fb1ffdf56d87f042cebbc5bb58","observation_id":"898b11bb-917b-49e7-87aa-dc573f117563","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:9eac437d1e976c315881265c64715f74ebde3b06e1655c3fe447cc3df821218b","observation_id":"20569c9a-0de1-4748-8aa3-e3221f672c39","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Jiang and A","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:a49582d0d7c505194627d7e1bc5e3299567a7f7a6366a482a0ddac3d012325c2","observation_id":"a7aa10d4-e7e6-4e9d-99ab-e43274d93b29","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Johansson","venue":null,"work_id":null,"year":1931},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:ee715283ec3f90ddbcca9a7a93dd274b37afba66c5b307417ed15d36a68070ef","observation_id":"d7b3fdce-2375-497b-bf51-cd8a779364a4","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Kell and A","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:4ce6536964fd7d7e8f4934fe610c8b114944c60fdab37c35b505ec45786d724e","observation_id":"32c20f7d-d485-4bfe-8ebe-10f6c773a6d6","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Kapovitch and A","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:8757e936824c28adc306753a070c7e877e3752c570259e5d56f499ff357ea462","observation_id":"a47af11d-6f3d-4cd0-b36b-5667a026224a","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Kapovitch and B","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:29e616904a8e182744fbae24d219925d976c1a29936c40ccdbed7cb9c5ea57d6","observation_id":"dcedd8dc-4644-40a4-8042-38649a9be806","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Ketterer","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:60bf6a647b2d90751940380ed77e51323ab681d77d668de8b1c2023bec74f6b3","observation_id":"2357c081-7db0-4b78-8ab9-ce37777a6097","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Kitabeppu","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:8fa8a5ce61e437ebb690600727e30f13f8e6fbe06d1b7e7a8f5cbb03e4541e83","observation_id":"a29370c2-c11d-4c41-a820-3c05a8831a42","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Kitabeppu and S","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":62,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:ec72471525b8974524cd3f96548457b63fd51acd30b6ac764fc49228e292cf03","observation_id":"e1879e99-6e0f-4292-9350-13f8b02df5c5","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:025862d699f28fa6cc7a2e8db49db0a34c0a2103621e0ff0e2a3e769dc515ce9","observation_id":"958f573a-b1f8-47bd-bb91-d01dde0cf04d","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:2263c0094b33b8c807547d1ebb4cf1f65657d81b06fb56b0a8aef900af5cfdd7","observation_id":"78232a56-7b83-417b-b3bf-bf9b513263d5","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Lytchak and S","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":65,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:5c81f3a047e912ad7c59e34dbfdff1131ccfdcc473f5d18b70a01b061c5b8b19","observation_id":"574fe16e-956a-4495-8c51-e462f02c5b99","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Lott and C","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":66,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:edcd80eaec451a106fa15dd09b27f317591bb253836441cc74d4fece20e8c769","observation_id":"f5e05e04-2e07-473f-97cb-fcf8629cb061","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":67,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:cace97ef225360ef235ebf639e8e8be7ae6bbaa5565984f06bc2e3d62a08efe7","observation_id":"a2d875ea-2c9b-48a6-accf-e30160c80788","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":68,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:8d82c7ffade251a0af2f073a820bbfc845e9492c4e8cc23cd1230bd3ef67bc77","observation_id":"e67a25dd-d911-42f1-b01f-11ed8d8cd6c8","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Mondino and A","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":69,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:fbdf69546e38293ee9d35323de21c016657836bde1359a469db044a1758b3ea6","observation_id":"e0dfe79f-e2ac-4c83-8395-6094f1cf1216","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Mondino and G","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":70,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:22e0722c7ef2cc54f07e06b92556e373b11ab7443f1763539482d1c8f65eb22c","observation_id":"e02a6e7c-ff87-462e-862a-bf1c83712ef9","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":1916},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":71,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:01fed2a24db19a6e104c3fa27716ef1ccb0cc41b9fd644c9f5e7541042023f0c","observation_id":"87c01eb1-3710-4107-ac70-c3d6a1dad305","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":72,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:5464aed12019db4da1db9e8eae6bb9ba7ea89a64eb6394c5648f7500f32d71f2","observation_id":"c85847d2-6da8-4ce3-802c-3daca2a4d0a1","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Naber and R","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":73,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:4cea45a7777b40df0fc095fc5659bd8c6cf12bea2151fa8ce1130b2428d1bf76","observation_id":"b45d4ee3-c18f-4d61-aba5-a2b86650ae80","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":74,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:2d7802a84d33ea10a153dbbf55b721bc1a7acb0ebb126e5b208a53b9f4fe7452","observation_id":"e8331052-8a22-4510-9853-2faad6f7aa6c","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":75,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:e9817ed3020d231fe2b506c7506f7317a858101d16be629f2b6b45e547bd5b9d","observation_id":"06601dc2-1b66-4576-8be7-a277c77c5107","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":76,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:f493230bc2b2f8cbe7a2c507832177d72fbfedeb6715735490b8bd11e6a413f6","observation_id":"27c58a87-0d41-4bca-932d-4d13cf60687a","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Pan and G","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":77,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:69391f74b05078efff59ed5095a25f01d781bc0ff21df1bc124bb3a50b918321","observation_id":"4eb43473-b85f-4668-b46a-3d4ef4ccaee6","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Pan and G","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":78,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:721258460fcd0b23fa5b6ded82f8f87491da2ff98aa9c3af27b5f3584d2a5114","observation_id":"54b69939-2813-406a-b225-4967f2dea0ed","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Perel'man","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":79,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:c8df0bafe95c5b69132800f1470772f007d588dc7666414775d48cb56d819880","observation_id":"00584dff-ff77-44a5-b987-38c3f3b64d7d","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Perel'man","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":80,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:f42b4fe39eb4fb0da975b678c1be3e58adc29ee464af2d59561c0d28e0f73166","observation_id":"78221ce1-cc45-4cde-b6e3-dbae27fd128c","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Petrunin","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":81,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:9c08d62d3f604a026963e615a6a1aa863862684cc0b69d243d67b52690384c21","observation_id":"cd3b9186-4db2-4c44-9378-da62e0223b36","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Schoen and S","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":82,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:144220e8ef7fd620998c2e55f1abbef92da5d0b2ee61ee82dfaf4a08e3c9196c","observation_id":"46843863-90e4-450e-a367-69caf3848987","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":83,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:3ab2fb017311847c9fa81522529294ca90c7a5bb46237c7aa611401ae55d50b6","observation_id":"69c40580-a10b-4f39-9d7f-15ff5d6b9469","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Simon and P","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":84,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:fb5c3ca72dc7571155fc7da0ac1de90aefd971d509314fa9d36de21e670e8991","observation_id":"cd5438c4-981f-4440-856e-33e26214dbf3","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Simon and P","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":85,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:b691fe31d9d00d3709b80a0cd2ffdf5143c37a0474b2b635ec9bda34e5a9fffd","observation_id":"9fbc2a65-6adc-46fe-ab9a-f6b65424ca86","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Sormani and G","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":86,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:aff1501639ea5d6abd1ea8e1e8123894a328ddb4aae44d52edba1a158dd44d82","observation_id":"0fb5b49e-1da1-4537-b50d-56108a5505c7","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Sormani and G","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":87,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:0947e79890af33eb0c63b5e738ae300bc5c2898944f7fa2089ababa1a5214597","observation_id":"483bf065-f518-4be9-885b-8d1d4a1dd75c","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Stillwell","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":88,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:b35031bde3712fdda8c11e81386a4c91ac323a5f6d6ddd7dde44be42a61edf5b","observation_id":"bfcc43b3-31c0-41f3-91c7-5f00c1cd796e","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":89,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:274e6bfbc70c9b5051d27f9764bcd5a878815938fc3d9d186da733fcb2f4c388","observation_id":"dda119b2-bbf9-408e-87b7-a3cc20d5414b","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":90,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:91a0be39d5ed13c50eae3868a482338e3725cde21ce8aa255f3e7dbb6f3e32ab","observation_id":"27b34a8c-7a99-4f12-af63-d7ea1572b997","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":91,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:cc89710e3b525953f14dff9f5152a3cb63126e59c75e50fc75491197f92f7397","observation_id":"eb3abfa2-5c6c-4934-8b67-b83e68c28e2b","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1001.5140","last_updated":"2010-01-28T10:00:41Z","snapshot_observed_at":"2026-07-06T02:03:36.130296Z","submitted_at":"2010-01-28T10:00:41Z","title":"Moore's theorem","version":1},"cited_work":{"arxiv_id":"1001.5140","doi":null,"metadata_source":"pith","pith_arxiv_id":"1001.5140","snapshot_observed_at":"2026-07-04T02:19:22.662878Z","title":"Moore's theorem","venue":"math.DS","work_id":"9e1e85ad-a6d5-4e04-9827-b85f281fbfe3","year":2010},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":92,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"cited_paper":"/paper/1001.5140","citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:f9e4edf4891441f8e543e05927d46aa97abf60cd47a25e9e043c9cde635da94f","observation_id":"bcc5437b-ade8-4a5d-9b79-8c8abd87c9af","resolution":{"observed_at":"2026-07-04T02:19:22.664939Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":93,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:4527bc334b2636709b15f4c51b96ca96e1b18546fe44b9edb9057e29d17f1fe9","observation_id":"93e30ff9-8e54-4a5f-8de5-198c55d2ad1d","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":94,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:0cd4da0ceb39f23d847774d8687cd9f8464b39c9932f04986e405ab39cb9b2af","observation_id":"b71e3831-31f2-4bc1-9c78-50c7f5d5e096","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Yamaguchi","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":95,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:57b0014fa8c9018b6435a19079f9c82626ba8c3cb820f01fdb85f914afd5ae00","observation_id":"4e24b4fa-39be-49d5-9bcd-0b4779973962","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T19:54:20.411216Z","title":"Yamaguchi","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":96,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:e1978160bed6bdd04d27caec3bdcf600c18bdd33870b7d7c05f8747c5dd366cc","observation_id":"aeccbd8a-199f-4e9f-bcca-a76ff617a6a9","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.00619","last_updated":"2024-04-03T12:00:20Z","snapshot_observed_at":"2026-07-06T17:53:40.016965Z","submitted_at":"2024-03-31T09:16:47Z","title":"Examples of Ricci limit spaces with infinite holes","version":2},"cited_work":{"arxiv_id":"2404.00619","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.00619","snapshot_observed_at":"2026-07-04T02:19:22.681375Z","title":"Zhou , Examples of Ricci limit spaces with infinite holes","venue":null,"work_id":"dcc988b2-66a9-4f94-bcc1-61c426760aa2","year":2024},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":97,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"cited_paper":"/paper/2404.00619","citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:7cd5ab68566b903a9801fa5f1f9820eee4c056b74d8fc08e7839403b749f7991","observation_id":"980262ae-9ce9-4ebb-84b2-3f07e56c6c0a","resolution":{"observed_at":"2026-07-04T02:19:22.683894Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-26T19:54:20.411216Z","title":null,"venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds","version":1},"reference_index":98,"source":"arxiv_source","source_observed_at":"2026-06-26T19:54:20.411216Z"},"links":{"citing_paper":"/paper/2606.19189"},"observation_digest":"sha256:48d614648c31d3a3b8e204ae5dc60af9b4d834e906225471a0bf4edd89a16f4c","observation_id":"bcdbcc4a-6b03-40a3-bec1-2cb96990b06c","resolution":{"observed_at":"2026-06-26T19:54:20.411216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.19189","last_updated":"2026-06-17T15:31:03Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-05T13:34:42.593517Z","submitted_at":"2026-06-17T15:31:03Z","title":"Topology of two-dimensional collapsed spaces with lower Ricci bounds"},"reference_resolution":{"displayed":98,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":90,"verified_exact":8,"verified_fuzzy":0},"total_outbound_references":98},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 98 of 98 outbound references and 0 inbound Pith citation observations for arXiv:2606.19189."}