{"as_of":"2026-08-16T02:40:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:82c73793eaad9993bf22a8959c3557abf07f980c4760648f8642c135a75e1f46","coverage":[{"denominator":37,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":37,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T15:18:20.180072Z","state":"measured"},{"denominator":37,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":37,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+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/2412.11191/citation-record","integrity":"/paper/2412.11191/integrity","json":"/paper/2412.11191/citation-record.json","paper":"/paper/2412.11191"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:18:20.853833Z","title":"Bartoszy´ nski, H","venue":null,"work_id":"477752be-d3e2-4f51-8f8b-4b41769c9359","year":1995},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:19.979100Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:12159c387e6bdf3a95fa246f00b716fc4a9ae293a87d7f12248fb276f2b5ccbb","observation_id":"024472cf-f62f-4d19-aaf5-7af90e4ec06a","resolution":{"observed_at":"2026-08-11T15:18:20.858892Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.835950Z","title":"Blackadar, Operator algebras, Encyclopaedia of Mathematical Sciences, vol","venue":null,"work_id":"594ba5ea-707d-4e7b-8c42-d6344b5c88e5","year":2006},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:19.985809Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:a62fa1ee50c4de3e8ad961b7296026ed7d0775cca445d4ab4ffd87c0de1a9be1","observation_id":"1708f19a-c42c-4b39-93a1-9cbb09de3f07","resolution":{"observed_at":"2026-08-11T15:18:20.841995Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.814502Z","title":"Brech, P","venue":null,"work_id":"41aec18d-aded-4561-bcb6-d3f22d5b71c7","year":2012},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:19.991584Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:5c9f6326fddd1dae5a28f7c474e4ffd73c892cb243b70da96de7a099955cfaff","observation_id":"86fdd017-23d7-479d-8768-159370d82ac6","resolution":{"observed_at":"2026-08-11T15:18:20.819701Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.796203Z","title":"Brech, P","venue":null,"work_id":"83a2801a-b45c-4cba-9ebd-a2363a5c0060","year":2014},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:19.997342Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:1aad95831698330042533fe79d9c2ccc78650cc50e4ac806dcb6f5eb038fbbea","observation_id":"8a990986-b38a-4e33-ae3d-c0bf20ffb185","resolution":{"observed_at":"2026-08-11T15:18:20.802195Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.779204Z","title":null,"venue":null,"work_id":"2317725c-cee7-49a0-91e5-df271fa4641b","year":1941},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.003634Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:ee9b492e3bd3d056afd75555b736372f94f86afa4a1afb6c1a9bae4d8b412548","observation_id":"2c84d536-fd87-499e-9169-2347cfba6e96","resolution":{"observed_at":"2026-08-11T15:18:20.784888Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.761310Z","title":"Conway, A course in functional analysis , second ed., Graduate Texts in Mathematics, vol","venue":null,"work_id":"1dc69775-5c29-4037-88bd-e4f942cf2b86","year":1990},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.009376Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:2feb1ddfa5c3e050b6f099c140def710fccde10489a3a096068db2ae94fa0f6f","observation_id":"8e77a0b6-a135-444a-a0c9-d0a606958e0d","resolution":{"observed_at":"2026-08-11T15:18:20.767408Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.742966Z","title":"Dow, Saturated Boolean algebras and their Stone spaces","venue":null,"work_id":"9a79c7ac-11a5-40b2-b4fb-77ce210b235e","year":1985},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.015347Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:9c268759baff99ff77b5bb3d4fd84b51185e6e4f1e262c444414de9cf19d399b","observation_id":"e80adb9a-4ee7-475f-9406-e7b48512bc4b","resolution":{"observed_at":"2026-08-11T15:18:20.749084Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.724594Z","title":null,"venue":null,"work_id":"abd99c20-2499-44f0-9a13-86a70a8f7705","year":1999},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.020516Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:599954e1bc4d86f3cd43c501ccb03b15a83b06986fabc72b613de8f063dcc60d","observation_id":"09348aca-25dc-4f49-9314-c28845f593dc","resolution":{"observed_at":"2026-08-11T15:18:20.731001Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.707168Z","title":null,"venue":null,"work_id":"f6f6166d-cc16-4602-98b1-bad1de74cb95","year":2000},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.025869Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:8c3179200c2d97cd1933bd84d5300aa0e999977d7569f3e38669fbf2cc464e05","observation_id":"e2ce56be-82af-42af-b488-d8cb6c0b23a3","resolution":{"observed_at":"2026-08-11T15:18:20.712726Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.689447Z","title":null,"venue":null,"work_id":"d2593257-a3a7-46eb-80e1-bbba0d8e2e99","year":2002},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.031331Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:50cdcb4f8b50e606381f847dce7c251cbdf36c547d760ea35c121494dee562fd","observation_id":"e4dea4b0-5d8e-4dea-a3c9-e1a01198cb3e","resolution":{"observed_at":"2026-08-11T15:18:20.695785Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.670265Z","title":"Farah, Analytic quotients: Theory of liftings for quotients over a nalytic ideals on the integers, Mem","venue":null,"work_id":"eb49c089-cec4-4901-aacf-16401e6471aa","year":2000},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.036880Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:06f089a4df14a43c516e57ed27100fbd2403eb6a827e5fe44c3c8cf0e1018d8d","observation_id":"866b3c10-06f8-4ff3-9698-83897b7136e1","resolution":{"observed_at":"2026-08-11T15:18:20.677198Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.651190Z","title":"Farah, All automorphisms of the Calkin algebra are inner , Ann","venue":null,"work_id":"fb92219a-3235-4137-951d-de50c12f4dcd","year":2011},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.042782Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:4aa5bffc80bc1f599040a4a8782a73be91b6c2d1b4f2a69c7fc0f9fd44b7b172","observation_id":"614c91f3-d9b5-4c34-b06e-99706b591ec1","resolution":{"observed_at":"2026-08-11T15:18:20.657100Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.633620Z","title":"Farah, Logic and operator algebras , Proceedings of the International Congress of Mathematicians–Seoul 2014","venue":null,"work_id":"91012d68-3941-48d5-ae69-85236c023efd","year":2014},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.049082Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:505cd58dfdde3bd6e7da4fbf98dff7d541106b44c53b70f39e8a904acd38920c","observation_id":"84fd58bd-4b23-471a-a333-aa50daf30995","resolution":{"observed_at":"2026-08-11T15:18:20.639491Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.616098Z","title":"Farah and S","venue":null,"work_id":"419fe05f-1845-4f7a-aefc-3ecbba16e652","year":2016},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.054664Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:b77d3449a6cc95050e7e6a0d3f44d74a6f253c6fb19c2c15660310dfaeede3ad","observation_id":"df752775-75fa-42cf-97ee-6d3779b07965","resolution":{"observed_at":"2026-08-11T15:18:20.621291Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.598431Z","title":"Farah, Combinatorial set theory of C*-algebras , Springer Monographs in Mathematics, Springer, Cham, 2019","venue":null,"work_id":"d6deb0cd-7920-44bd-a5b0-f4f51f3912fd","year":2019},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.060317Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:d27c9c52c075e5ed9835e1e8b4ddfc8d999447a5f9faa170a8637d46baaa4993","observation_id":"87998982-39fd-472d-8c84-c97c1db15540","resolution":{"observed_at":"2026-08-11T15:18:20.604824Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.581842Z","title":"Farah, I","venue":null,"work_id":"0a913ea9-a7cf-4504-9a2c-2249cad7ee64","year":2020},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.066211Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:ae2f7a28d5cf36320912a74bf8cdc4dedc964511e31b7c12cdc0523b61d1331e","observation_id":"839e79af-d54e-43ff-b8c5-e956947fb3de","resolution":{"observed_at":"2026-08-11T15:18:20.587039Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.566082Z","title":"Farah, G","venue":null,"work_id":"8c9c42b5-2a07-4076-aa3a-71bbe65f989b","year":2021},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.071262Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:ca0aab3c55de44d37b7422ee9f7bc625bf760be07566603f35b71059b1fff721","observation_id":"8e7eb6a2-07ff-4652-846f-b2e020ab78a4","resolution":{"observed_at":"2026-08-11T15:18:20.571187Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.549774Z","title":"Farah, The Calkin algebra, Kazhdan ’s property (T), and strongly se lf-absorbing C*- algebras, Proc","venue":null,"work_id":"359d1834-6faa-4599-95be-bfa892b37d75","year":2023},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.076129Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:c77307c29a128ea69fd285566fa745285ff9461c883bffeccfc14246cb4145ec","observation_id":"d2cda9f4-f424-4068-a27f-ad09332206d8","resolution":{"observed_at":"2026-08-11T15:18:20.555074Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.02274","last_updated":"2025-05-18T17:14:24Z","snapshot_observed_at":"2026-08-13T12:12:50.914744Z","submitted_at":"2024-11-04T17:05:32Z","title":"Coronas and strongly self-absorbing C*-algebras","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.02274","snapshot_observed_at":"2026-08-11T15:18:20.081512Z","title":"Farah, G","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.081512Z"},"links":{"cited_paper":"/paper/2411.02274","citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:6298018e38f0cdd69263edfc7039faabeee0e2aac0b93abbe705e26f7ba2f0ef","observation_id":"6550c5b2-b066-4c58-883c-4c3d56f20513","resolution":{"observed_at":"2026-08-11T15:18:20.081512Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:18:20.531652Z","title":"Ghasemi, Isomorphisms of quotients of FDD-algebras","venue":null,"work_id":"34aec2c9-b3a3-4a83-a728-7022c8bc6bd0","year":2015},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.087536Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:b648197771fa56e22f854da1c7b3c214f2a6235bff002840bdfd827c01bd12ff","observation_id":"4953eb99-98b2-4642-8062-a1a10b6547e0","resolution":{"observed_at":"2026-08-11T15:18:20.537255Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.515021Z","title":null,"venue":null,"work_id":"71c448f5-c176-4374-acc4-0f5e45df3400","year":2016},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.093074Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:5e08a995017e564d49c44694d1972c78c8d87308b551fbb72c39420234617837","observation_id":"c75d1193-4dce-4896-91a2-056bbe0a88c9","resolution":{"observed_at":"2026-08-11T15:18:20.520303Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.498341Z","title":"Jech, Set theory , Springer Monographs in Mathematics, Springer-Verlag, Be rlin, 2003, The third millennium edition, revised and expanded","venue":null,"work_id":"445f1e61-2495-4156-bfef-daa3bb16b000","year":2003},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.099156Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:54292280ed7b201ae4c8255bd32f4517625cd3a14d624a49e5377263ec02bdbc","observation_id":"236b6f67-d011-4695-81db-4bdc4f97d734","resolution":{"observed_at":"2026-08-11T15:18:20.503896Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.482378Z","title":"Kunen, Inaccessibility properties of cardinals , Ph.D","venue":null,"work_id":"3e125363-21c1-4644-a14b-75ff207681da","year":1968},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.105315Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:22d935e61a4f15463ff87aea8f03899a2a0e6debb32f5f5563b3f76b3730aafd","observation_id":"ee48579a-0924-40f6-ad64-a041f8b299f9","resolution":{"observed_at":"2026-08-11T15:18:20.487611Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.465171Z","title":"Marciszewski, On two problems concerning Eberlein compacta","venue":null,"work_id":"b6dd5e9a-a25e-482d-a134-6183e5edd81b","year":2021},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.110301Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:253b221ba52bf5a8acc55ef029c854f22abfb03dcc0bcdb24e37aa659721b85a","observation_id":"de3775c7-b7b9-4919-aaaf-0efac3bb2004","resolution":{"observed_at":"2026-08-11T15:18:20.471062Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.446231Z","title":"McKenney, A","venue":null,"work_id":"84759027-56fd-4047-9029-68ff149bf685","year":2021},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.115618Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:dc4866a47d37ed133e85fcef93ffacb26a2a0a8b137f163e3682f9a179a5c374","observation_id":"f015bbaa-67ee-4795-8da5-bd15c9cdf540","resolution":{"observed_at":"2026-08-11T15:18:20.452130Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.430174Z","title":"van Mill, An introduction to βω","venue":null,"work_id":"50cbc42d-6087-46c0-849b-714127222bad","year":1984},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.120806Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:dabd292a6b7eff47813ff38a042c0ae1bc526e6cb6f049ed115bb420a5b496c8","observation_id":"6fad2c91-5e70-46e5-a1c1-11fb50e9d679","resolution":{"observed_at":"2026-08-11T15:18:20.435102Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.415333Z","title":null,"venue":null,"work_id":"4a5d1af9-0ca5-4a72-9fdf-71df1017e63e","year":1963},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.125850Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:652c5194cb54437366c73e414bfb550e1e2b93b034b0f5892522154afaedd1ff","observation_id":"cfb57f06-9b65-4705-a6cd-71f4a8cd13bf","resolution":{"observed_at":"2026-08-11T15:18:20.420183Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.397214Z","title":"Pe/suppress lczy´ nski,On the isomorphism of the spaces m and M","venue":null,"work_id":"577a5520-8ef2-4eaf-b509-625a232f0b81","year":1958},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.130952Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:8aebd04e7ee8d9f507863a2a36aa6ada784e84589c7e8135e1a0aecd81eba07c","observation_id":"4b5bc1bf-8599-4cd9-a5a5-a5f73d785071","resolution":{"observed_at":"2026-08-11T15:18:20.402966Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.381408Z","title":"Shelah, J","venue":null,"work_id":"cc900299-62a4-4409-a5a1-797db8e0a80c","year":1989},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.135967Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:abb570bbf1d04009c213c1c66cb21f69849f18e11ee9fc3ed4ac74c6a92c7448","observation_id":"50c0d82a-5692-478a-b2d8-42ee2c4d63d3","resolution":{"observed_at":"2026-08-11T15:18:20.386333Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.365320Z","title":"Shelah, A","venue":null,"work_id":"2adc3084-9e0e-4c50-8a25-b8735cc0e11b","year":2006},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.141082Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:ebd56d66b5632d3b9c08610cb665fd1bcb19d8285a9bbf333df659c61a764840","observation_id":"21ed2ed4-0a48-4002-ad99-f63688f32dfd","resolution":{"observed_at":"2026-08-11T15:18:20.370516Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.348817Z","title":"Talagrand, Compacts de fonctions mesurables et filtres non mesurables , Studia Math","venue":null,"work_id":"322c9091-08bf-4ffb-bc20-0ab7fe9814d3","year":1980},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.146199Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:95c9c5a79e5810dfd9d4faed6f5dab5a7dcd581efcf0e47876497a4a1eece6f5","observation_id":"7b1f4590-5f51-49c8-97eb-8ced592ebdb7","resolution":{"observed_at":"2026-08-11T15:18:20.353851Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.330736Z","title":"Vaccaro, C*-algebras and the uncountable: a systematic study of the c ombinatorics of the uncountable in the noncommutative framework , Ph.D","venue":null,"work_id":"2691e29e-dab1-49d7-af26-eda573995683","year":2019},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.151100Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:e5783e7587f65980d0e4fa9f7d28f2fc2bbb2524d1bb8b8073825936e014bed7","observation_id":"8f10594b-b7ed-474d-ada6-ccd5f3f54bd1","resolution":{"observed_at":"2026-08-11T15:18:20.337007Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.311349Z","title":"Vaccaro, Obstructions to lifting abelian subalgebras of corona alge bras, Pacific J","venue":null,"work_id":"05d7829c-eaa2-45ba-9b2a-7e33d57e1e41","year":2019},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.155989Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:27233435b3e157e59c89a99ec7029e050688e06890f112030f442c490f628a2b","observation_id":"bba6f729-0e31-4da3-ba9e-547aa3435e48","resolution":{"observed_at":"2026-08-11T15:18:20.317667Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.294107Z","title":"Vaccaro, Trivial endomorphisms of the Calkin algebra , Israel J","venue":null,"work_id":"b7975534-e3a4-4b75-8431-2d6e273015dc","year":2022},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.162495Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:5259df156c9775ecc80a6a3926ba0c1675d4a604115d767663d98d6afb159aaa","observation_id":"f0087900-6d84-4688-9393-26cb513e1489","resolution":{"observed_at":"2026-08-11T15:18:20.299682Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.276975Z","title":"Vignati, Logic and C*-algebras: Set theoretical dichotomies in the t heory of continuous quotients, Ph.D","venue":null,"work_id":"e376c78f-b0d7-4081-9df7-fdfe9c3f9fb7","year":2017},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.168004Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:8d0c045c1466ec0b8a8a15eb278de95041022c08552c949e186b342dc634a4c4","observation_id":"b1d846ae-8880-4e5e-ac50-d13c8265c165","resolution":{"observed_at":"2026-08-11T15:18:20.282104Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.257411Z","title":"Weaver, Set theory and C*-algebras , Bull","venue":null,"work_id":"13dfe41a-cdbc-46bd-a868-d1f07d4f401f","year":2007},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.174046Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:f275bd17dbfe92bc340d8e519171ebae5bcd98dec776e0a9993af1147c1d5df5","observation_id":"3f54c9c6-83f3-4dad-9cfa-8b7ddfee11bf","resolution":{"observed_at":"2026-08-11T15:18:20.264123Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T15:18:20.238747Z","title":null,"venue":null,"work_id":"038cae37-9246-477d-8648-8a77f1d08e8d","year":2003},"citing_paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T15:18:20.180072Z"},"links":{"citing_paper":"/paper/2412.11191"},"observation_digest":"sha256:cb80eef593dbe88e4e8ac539e494769d730639c7b02c28a33fbdea8357410ada","observation_id":"b10ce713-cb22-49bb-bc81-c12ed558b0a8","resolution":{"observed_at":"2026-08-11T15:18:20.245107Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.11191","last_updated":"2024-12-15T13:53:32Z","latest_version":1,"primary_category":"math.OA","snapshot_observed_at":"2026-08-12T10:02:14.697749Z","submitted_at":"2024-12-15T13:53:32Z","title":"Products of C*-algebras that do not embed into the Calkin algebra"},"reference_resolution":{"displayed":37,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":0,"verified_fuzzy":29},"total_outbound_references":37},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2412.11191."}