{"as_of":"2026-08-21T03:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:01613db9674a3d1afbf90211e603cda1f3b9560ee0fd09083051874b28388531","coverage":[{"denominator":42,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":42,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T19:42:06.315912Z","state":"measured"},{"denominator":43,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":43,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T20:10:27.447196Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-15T20:10:27.487335Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"cited_work":{"arxiv_id":"2502.10073","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.10073","snapshot_observed_at":"2026-08-15T20:10:27.487335Z","title":"Rigidity of Higson coronas","venue":"math.LO","work_id":"23c77102-4eeb-414e-9c61-889b75b9248f","year":2025},"citing_paper":{"arxiv_id":"2506.13673","last_updated":"2026-06-23T10:16:42Z","snapshot_observed_at":"2026-08-19T21:59:22.896065Z","submitted_at":"2025-06-16T16:30:19Z","title":"Coordinate recognition: General theory, Groups, and other surprises","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-15T20:10:27.447196Z"},"links":{"cited_paper":"/paper/2502.10073","citing_paper":"/paper/2506.13673"},"observation_digest":"sha256:4e67ddb8ebfe832461eae3e301a48c95e022365d5937138b4e373f07b6dcbbed","observation_id":"cdb68215-6ad2-411c-8d8f-052fc8ae9ac8","resolution":{"observed_at":"2026-08-15T20:10:27.492503Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2502.10073/citation-record","integrity":"/paper/2502.10073/integrity","json":"/paper/2502.10073/citation-record.json","paper":"/paper/2502.10073"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:07.114338Z","title":"Abraham, M","venue":null,"work_id":"3c0ac418-5883-40b0-b0b5-e93561e23987","year":1985},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.052773Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:86752fa686404f3efe7cdee8ef482a2a9bd6c2806e11aa997a58ce02ec584929","observation_id":"024f5ba1-fa2a-4fd7-a312-5e356693d239","resolution":{"observed_at":"2026-08-07T19:42:07.118235Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:07.104018Z","title":null,"venue":null,"work_id":"8dec177b-4a82-413d-823b-67f7c2b34be2","year":2011},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.057158Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:46958f41ca2330c9f0bde158352df1f5ffc3861219e8d68920cff9782c97d04d","observation_id":"d3e8dc73-4ace-45b7-a9a0-a524d301e068","resolution":{"observed_at":"2026-08-07T19:42:07.107970Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:07.093643Z","title":"Baudier, B","venue":null,"work_id":"e0ccdfd1-63cd-487a-ad5c-4ca75e672c50","year":2022},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.060598Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:b13a50f4a63c26c3bd2de7c2cbe5892ea79b1484c76ed351e6d70bdc2b2662cd","observation_id":"8da8cf89-bc0f-4ae0-b6f9-226cd62f3a7c","resolution":{"observed_at":"2026-08-07T19:42:07.097383Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:07.083579Z","title":"Baudier, B","venue":null,"work_id":"16936355-753a-48da-b6fb-97213ca18d6e","year":2024},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.064308Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:3ccab81370005233f91e90e9eacd39ba35e4dbc998ab044a0f26853f221a02a7","observation_id":"3a90a8e6-9740-4bbc-aa79-6224d872ad4a","resolution":{"observed_at":"2026-08-07T19:42:07.087246Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:07.073965Z","title":null,"venue":null,"work_id":"b1958635-2371-4b66-8f16-2988a6b90053","year":2024},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.068142Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:95693e522bbfb331651b87c340100b71c4287d90417d45457ea5e3a91ec2d1bd","observation_id":"2ca69005-3913-49e5-ba15-246672ce4203","resolution":{"observed_at":"2026-08-07T19:42:07.077465Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:07.064360Z","title":null,"venue":null,"work_id":"7e9b918f-0ca2-401c-9e8e-c353a70bf9d3","year":1973},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.071846Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:597c422ab115bd5a22466f32e8b0ebfb3341b22029d068915eccf5f74a587d1c","observation_id":"1af65943-e9af-4a4a-ab47-292f9d1b5eb2","resolution":{"observed_at":"2026-08-07T19:42:07.067924Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:07.054771Z","title":"Bell and A","venue":null,"work_id":"95903ef9-c35a-48c2-8f08-49bca15b704a","year":2008},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.075907Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:6067832552768d2328e335f0fa025666ad2bd7c35aba91f78e0101d25b084d10","observation_id":"bf89483c-4153-481c-9f16-a7bc89115cdf","resolution":{"observed_at":"2026-08-07T19:42:07.058228Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:07.044863Z","title":null,"venue":null,"work_id":"e2897656-a237-477c-86b0-af7cb3648014","year":2021},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.079277Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:e90fc7670a283a96f3021906a40d7f695926633dc682bb8f7b8a1daeb95e1ab3","observation_id":"634e7f04-62ab-4c82-a424-e0218cf6f59b","resolution":{"observed_at":"2026-08-07T19:42:07.048524Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.08789","last_updated":"2025-06-20T12:41:36Z","snapshot_observed_at":"2026-08-19T09:19:34.957826Z","submitted_at":"2024-10-11T13:12:59Z","title":"Conjugating trivial automorphisms of $\\mathcal P(\\mathbb N)/\\mathrm{Fin}$","version":3},"cited_work":{"arxiv_id":"2410.08789","doi":null,"metadata_source":"pith","pith_arxiv_id":"2410.08789","snapshot_observed_at":"2026-08-07T19:42:06.753702Z","title":"Conjugating trivial automorphisms of $\\mathcal P(\\mathbb N)/\\mathrm{Fin}$","venue":"math.LO","work_id":"682c0361-1e9b-48ed-816b-d682904e82fa","year":2024},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.082571Z"},"links":{"cited_paper":"/paper/2410.08789","citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:4973abd6a6ee6e3df4609be8306b93e55b1f03fe6934d991538b5fae52e62e9e","observation_id":"293685c3-9f2b-436a-af64-0f0617b4cc76","resolution":{"observed_at":"2026-08-07T19:42:06.757819Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2307.06731","last_updated":"2024-10-28T18:27:46Z","snapshot_observed_at":"2026-08-18T18:15:20.456245Z","submitted_at":"2023-07-13T13:04:42Z","title":"Trivial Isomorphisms between Reduced Products","version":6},"cited_work":{"arxiv_id":"2307.06731","doi":null,"metadata_source":"pith","pith_arxiv_id":"2307.06731","snapshot_observed_at":"2026-08-07T19:42:06.738875Z","title":"Trivial Isomorphisms between Reduced Products","venue":"math.LO","work_id":"e1d36ad1-5bb4-42d4-99d4-c9dab08089da","year":2023},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.086819Z"},"links":{"cited_paper":"/paper/2307.06731","citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:707caf5a93f33cbbc5ff59ed164e1c321c7c69fd11ccf62f72fa0ca6fd78efdc","observation_id":"3570fefa-eba5-4526-82e3-153f85a2616f","resolution":{"observed_at":"2026-08-07T19:42:06.743912Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.11127","last_updated":"2024-11-17T17:07:39Z","snapshot_observed_at":"2026-08-18T22:05:11.076957Z","submitted_at":"2024-11-17T17:07:39Z","title":"A metric lifting theorem","version":1},"cited_work":{"arxiv_id":"2411.11127","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.11127","snapshot_observed_at":"2026-08-07T19:42:06.724966Z","title":"A metric lifting theorem","venue":"math.LO","work_id":"2827eea9-9a14-477e-961e-9a0705e870ac","year":2024},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.090990Z"},"links":{"cited_paper":"/paper/2411.11127","citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:e0c062a6e0f813c5a3252e4062d9111947703fd0a303bd3e62ee2c8e18f69e71","observation_id":"f6c7065d-d591-4f94-a498-b826d3454c97","resolution":{"observed_at":"2026-08-07T19:42:06.728760Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:07.034028Z","title":"Dow, A non-trivial copy of βN \\ N , Proc","venue":null,"work_id":"f98f16b7-0bcb-43e1-8ebd-29f8dd8c6a59","year":2014},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.095147Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:a27fd51d90c8e68b4bca3fe492cc8bccbfe1222ef6fec0fa188d3657b1374d02","observation_id":"54ad4cd2-a596-4dd0-aa22-1928d07f64ad","resolution":{"observed_at":"2026-08-07T19:42:07.038103Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:07.023402Z","title":null,"venue":null,"work_id":"5087c771-f224-4e13-8900-d68a5bd69c53","year":1997},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.098969Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:49ce05780acb679eee5ebabd8988729c0ce3bc69535eeaf4a3d9849c0ed28f83","observation_id":"a38855f7-2f3c-4c35-a4e1-16cd1d663632","resolution":{"observed_at":"2026-08-07T19:42:07.027316Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:07.013760Z","title":"Emerson and R","venue":null,"work_id":"d0380b13-31b0-4e6c-bd05-b6a8e01d3290","year":2006},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.102493Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:f9543e767d03589a95224b75cd868be57783191f59715a8cb9286887f06dfd68","observation_id":"67d78a43-57f4-4426-800c-1ebf10d6309f","resolution":{"observed_at":"2026-08-07T19:42:07.017386Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:07.003358Z","title":"2, 185–209","venue":null,"work_id":"9f737f04-71cb-4843-ba60-5464c512dd9c","year":2007},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.106328Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:113b7e63dba61fef40fc4c4f0f8f35ffe41b346add462fe60f00d02da19acab8","observation_id":"ce037594-7259-4996-957e-2f4b3300510a","resolution":{"observed_at":"2026-08-07T19:42:07.007267Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.992663Z","title":"Farah, Analytic quotients: theory of liftings for quotients over a nalytic ideals on the inte- gers, Mem","venue":null,"work_id":"0680b3ff-f2e2-4fa0-8695-fa0752e69277","year":2000},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.109929Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:813bc004f5c85db1a02c43951933f32a4662110731288651e3496e4b1254f276","observation_id":"7b27c2bf-b525-4edd-afec-894bbc480a43","resolution":{"observed_at":"2026-08-07T19:42:06.996573Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.981825Z","title":null,"venue":null,"work_id":"bfeed785-de49-4570-8d25-79db2935e676","year":2011},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.113499Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:fdc11639b5f3ce46cea18a23027224302d9f20443cf26bf0929d927efc8c5a07","observation_id":"18595c19-b48b-4f62-ace4-bfd0fe21e60e","resolution":{"observed_at":"2026-08-07T19:42:06.985963Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.971356Z","title":null,"venue":null,"work_id":"cf5089da-554b-4e63-a1f3-2d020dc70239","year":2019},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.116806Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:4c700665d3b840803c8ea23598a9dfeacdeb0907182fadb785e9efd1c7762027","observation_id":"e37caeab-bc39-474f-b532-2631d8e680ea","resolution":{"observed_at":"2026-08-07T19:42:06.975139Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2201.11618","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.709819Z","title":"Farah, S","venue":null,"work_id":"34303d3d-c1ad-49d3-8726-da833a299279","year":null},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.120112Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:4f598c2995a89112215587d518563494469f8709a8fab84985a38c964e4bc4ba","observation_id":"05711662-2021-42c6-8a57-949eae5dba71","resolution":{"observed_at":"2026-08-07T19:42:06.715256Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.961274Z","title":"Fukaya and S.-I","venue":null,"work_id":"8cda50fb-64ea-4a94-9dbb-063fdc73be34","year":2015},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.123955Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:69729fb6998b87659d8f60680a4d465f010b4949160ec17aa3c4186a2d19243d","observation_id":"c2731598-6331-4359-bb7a-3b30957b6ff4","resolution":{"observed_at":"2026-08-07T19:42:06.965102Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.951388Z","title":"Gromov, Asymptotic invariants of infinite groups , Geometric group theory, Vol","venue":null,"work_id":"85c1030c-37df-4b14-8f92-39ebf000cfd1","year":1993},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.127571Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:284fc519d542d57f06d78c8645aa3b12a0a80ff19f0e92d4c3eca961ec8a2b23","observation_id":"ad7c076a-ef55-4a0e-9197-5e7cba38363d","resolution":{"observed_at":"2026-08-07T19:42:06.955443Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.941590Z","title":"Higson, C∗ -algebra extension theory and duality , J","venue":null,"work_id":"3f3a6647-8344-4e92-9cf9-b16bf46a3190","year":1995},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.131040Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:eb2d94f634beb6534edec8ff0057513b4b7bbac56866c435a931cb99c94047cd","observation_id":"712b9002-37b3-4188-a773-db1b7bb117f6","resolution":{"observed_at":"2026-08-07T19:42:06.945469Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.03128","last_updated":"2025-01-06T16:42:29Z","snapshot_observed_at":"2026-08-15T02:34:55.599849Z","submitted_at":"2025-01-06T16:42:29Z","title":"C*-rigidity of bounded geometry metric spaces","version":1},"cited_work":{"arxiv_id":"2501.03128","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.03128","snapshot_observed_at":"2026-08-07T19:42:06.534787Z","title":"C*-rigidity of bounded geometry metric spaces","venue":"math.OA","work_id":"896f6ee4-8dc5-4c3c-b8be-5c5e5324873d","year":2025},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.135430Z"},"links":{"cited_paper":"/paper/2501.03128","citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:54e6e6e6b443e211413950887a8df7a8555e7ce2095e672de3837facefc43115","observation_id":"668ae176-b4ba-4cfb-9e51-cb86571e8bfa","resolution":{"observed_at":"2026-08-07T19:42:06.539849Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.931511Z","title":"McKenney and A","venue":null,"work_id":"794457ed-b270-4846-8819-a31fb51f339f","year":2021},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.140300Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:615964782b723992d04faa5948670e13786346b05353aa5e9bf0294510b309fd","observation_id":"9557ebc9-eb66-41ca-bd40-62b2a19b61ff","resolution":{"observed_at":"2026-08-07T19:42:06.935439Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.920970Z","title":"Mine and A","venue":null,"work_id":"3a74222a-c46b-43c3-a109-c60718d7b511","year":2015},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.143810Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:4de032874880729945a719f242a503582f67d4ccb9af9102b3270d530f98218d","observation_id":"e1b17cec-1d16-4a40-a9e9-25410dba3220","resolution":{"observed_at":"2026-08-07T19:42:06.924649Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.910368Z","title":"Paroviˇ cenko, A universal bicompact of weight ℵ , Soviet Mathematics Doklady 4 (1963), 592–592","venue":null,"work_id":"6545ddb7-aaf2-4eb4-8c68-e4b8992a0909","year":1963},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.147044Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:cf545a5b516810f85af09530e59936b05a33f4a3dafbbcfa685dd0d50edcc4cf","observation_id":"c06c8989-e74c-4a34-b300-f501ab2de14e","resolution":{"observed_at":"2026-08-07T19:42:06.914254Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.900066Z","title":null,"venue":null,"work_id":"d05977cc-f7a9-401e-97cb-f4fa6874a24a","year":2007},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.150406Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:a9e98c9da8f7321aaf98b65465e4a1328ed9fe8e7da3de8394354ffa6ff75be1","observation_id":"28733b4a-f1c6-4ee8-8f15-a2129d720c29","resolution":{"observed_at":"2026-08-07T19:42:06.903780Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.890338Z","title":null,"venue":null,"work_id":"39edcfcb-4ee4-40e4-9c5f-900010f0db93","year":2011},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.261723Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:53d64b8aa2e0864a8b1b3713d4ed51020d25b4c79e3c066fe8dc51f0df625e63","observation_id":"9fddf533-74da-44bd-8e72-cb4ebbfa2f5d","resolution":{"observed_at":"2026-08-07T19:42:06.893445Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.880755Z","title":"Roe, An index theorem on open manifolds, I , J","venue":null,"work_id":"f000ce5c-147c-4b0d-a430-d35fa8e07fcb","year":1988},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.266305Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:0642bce93e2c10f3fd7e08658a49011d7e1f62f7be7256d94622bc3938955d7b","observation_id":"542aa495-328a-48a4-934c-ef1f83fdb08c","resolution":{"observed_at":"2026-08-07T19:42:06.884253Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.871836Z","title":null,"venue":null,"work_id":"aac71603-ffef-407e-b964-822b9bb25f57","year":1993},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.269611Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:6e90c6110e51167d358a7862e79ef350bba3567f8b3f3739c43156c6ca6281f5","observation_id":"0dd373eb-2222-4a33-96e3-a6f3f7985c3f","resolution":{"observed_at":"2026-08-07T19:42:06.875125Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.863290Z","title":"31, American Mathe- matical Society, Providence, RI, 2003","venue":null,"work_id":"3486fd2e-be9f-4e2d-9b49-c2237ab435f5","year":2003},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.273453Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:3ff4fe2b19140cfc389ad8ad1f481d24b02e8531eef805556ff4079f47e87257","observation_id":"748befee-1240-431e-8bfe-38ddb48e18e1","resolution":{"observed_at":"2026-08-07T19:42:06.866373Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.854003Z","title":"Rudin, Homogeneity problems in the theory of ˇCech compactifications, Duke Mathematics Journal 23 (1956), 409–419","venue":null,"work_id":"41a42826-41b6-4e61-aa64-4b387833d9fa","year":1956},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.277750Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:47eddfd7d68c05960e9723d14edf83f849ec1c97487a88d4904a3faa7a08f807","observation_id":"c98fc663-7066-42d8-a2e1-6ca95ec3b7f3","resolution":{"observed_at":"2026-08-07T19:42:06.857486Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.844737Z","title":"Shelah, Proper and improper forcing , Perspectives in Mathematical Logic, Springer, 1998","venue":null,"work_id":"8a123265-6330-4afe-b7fc-37370d3aa42b","year":1998},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.281818Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:25ded24cafeed3c516558ebf6ab39bc2774028d3c7f83f9db516676a3b045960","observation_id":"b632e10c-18de-4d4c-83b6-c5bd7705d3c1","resolution":{"observed_at":"2026-08-07T19:42:06.847890Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.835586Z","title":"Shelah and J","venue":null,"work_id":"d46fa8c4-7b00-4338-beb3-06ff1641ec5e","year":1988},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.285412Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:f7aaeae2a612994eb74487dd9b8d62e932c1e2a6853eaf989a84a3f945c22bfd","observation_id":"4a01ed22-fdd3-4b7d-8423-d6d4efa89d3d","resolution":{"observed_at":"2026-08-07T19:42:06.838883Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.825864Z","title":"ˇSpakula and R","venue":null,"work_id":"9cc7748d-5b32-4bc3-809d-fda5c0b5e548","year":2013},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.289155Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:2ad901a11423d882631d94afcb1578e8b96549f7157339edd5546d022f8e74f5","observation_id":"bc0022b9-08e6-477b-a995-68a9942d4a8d","resolution":{"observed_at":"2026-08-07T19:42:06.829450Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.815700Z","title":"Todorˇ cevi´ c,Partition problems in topology , Contemporary Mathematics, vol","venue":null,"work_id":"9ce49b59-1cce-4de0-9a6b-80c3ff12ad6f","year":1989},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.292822Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:c2ac3e7e9f2fb7c64115ef489c769348910d33c8963fa8185d8cdfc805b08d95","observation_id":"5d9a4a47-b570-4192-8c88-0c9e1d4a76f4","resolution":{"observed_at":"2026-08-07T19:42:06.819434Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.805409Z","title":"Veliˇ ckovi´ c,Applications of the open coloring axiom , Set Theory of the Continuum (New York, NY) (Haim Judah, Winfried Just, and Hugh W oodin, eds.) , Springer US, 1992, pp","venue":null,"work_id":"e8608bd1-6a20-4008-9df0-edc358b783be","year":1992},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.296477Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:fac641196361caf83943482f13cb3994471d78b21fad11495d90040bba03f39b","observation_id":"39976c11-3266-4b15-b860-38980c7b8d57","resolution":{"observed_at":"2026-08-07T19:42:06.809169Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.795439Z","title":null,"venue":null,"work_id":"4a7e1fff-7d0c-498f-aad4-cb7c1f856ad3","year":1992},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.300036Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:8f30209ec5d88f8ccb88d87cfc04743b6bd8ea9b22c6b16ae1e18b267c3c3fc2","observation_id":"a6443bde-ef65-4786-8284-73bdb530aced","resolution":{"observed_at":"2026-08-07T19:42:06.799088Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.785713Z","title":"Vignati, Rigidity conjectures for continuous quotients , Ann","venue":null,"work_id":"b104eb35-ecff-4969-b83d-aa9b33e3c6e5","year":2022},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.303701Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:97c2c3b4b3ed1fa5b5f1ea2f18b644f1fa73db38e9ad7c9588600c2421c63277","observation_id":"41a7e46a-d600-4c56-ae64-5365a5e3a05e","resolution":{"observed_at":"2026-08-07T19:42:06.789181Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2407.20791","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.515298Z","title":"Vignati and D","venue":null,"work_id":"ebf23265-12c0-4f44-a004-5777862c52f2","year":null},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.307337Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:61a67b6acf3831711676ee01b173ee38dddc9b195c028a463c20322dc7c2ad48","observation_id":"f124c69c-fee4-4b6b-86e8-06dfb41ed062","resolution":{"observed_at":"2026-08-07T19:42:06.522932Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.775322Z","title":"Willett, Band-dominated operators and the stable Higson corona , ProQuest LLC, Ann Arbor, MI, 2009, Thesis (Ph.D.)–The Pennsylvania State Uni versity","venue":null,"work_id":"af096780-4cc2-4fd8-8d19-3487bb7e3a41","year":2009},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.312056Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:590fab76de0bc14087870fcb1e32e04595d1a95d64ff72c0a82e79a71554fc80","observation_id":"6b398e3a-164a-4aa5-b41e-2329d3eaa10d","resolution":{"observed_at":"2026-08-07T19:42:06.779384Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T19:42:06.765130Z","title":"Noncommut","venue":null,"work_id":"e1d9658d-638a-4171-8239-e0ed23f9442a","year":2013},"citing_paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T19:42:06.315912Z"},"links":{"citing_paper":"/paper/2502.10073"},"observation_digest":"sha256:f959d304785b849f23b6900620105cbef11e0c64bd103e96ed8f4ae8e7f40616","observation_id":"efe24f5b-dec2-40c2-9f10-a69e1299884c","resolution":{"observed_at":"2026-08-07T19:42:06.768846Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.10073","last_updated":"2025-02-14T10:50:45Z","latest_version":1,"primary_category":"math.LO","snapshot_observed_at":"2026-08-14T04:47:50.420219Z","submitted_at":"2025-02-14T10:50:45Z","title":"Rigidity of Higson coronas"},"reference_resolution":{"displayed":42,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":11,"verified_exact":6,"verified_fuzzy":25},"total_outbound_references":42},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2502.10073."}