{"as_of":"2026-08-22T08:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5f11599c8e1496f9adf39a2c0681738c21e715122a1470d703e8e88959de8b64","coverage":[{"denominator":24,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":24,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-09T17:09:32.210782Z","state":"measured"},{"denominator":24,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":24,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+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/2607.07227/citation-record","integrity":"/paper/2607.07227/integrity","json":"/paper/2607.07227/citation-record.json","paper":"/paper/2607.07227"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T17:16:23.989876Z","title":"SimplicityofalgebrasandC ∗-algebrasofself-similargroupoids","venue":null,"work_id":"4ad6ddbe-5d21-415d-baec-bae65f131b45","year":2026},"citing_paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-09T17:09:32.210782Z"},"links":{"citing_paper":"/paper/2607.07227"},"observation_digest":"sha256:54a1f5d711fb237847787f979b46e50e7d62e899b9e8d56936ddffd20e7be0eb","observation_id":"87e1e3be-0248-43da-bebf-8471e6e8c0f6","resolution":{"observed_at":"2026-07-09T17:16:23.991179Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.23203","last_updated":"2025-03-29T20:01:27Z","snapshot_observed_at":"2026-08-16T12:45:42.045841Z","submitted_at":"2025-03-29T20:01:27Z","title":"On Hausdorff covers for non-Hausdorff groupoids","version":1},"cited_work":{"arxiv_id":"2503.23203","doi":null,"metadata_source":"pith","pith_arxiv_id":"2503.23203","snapshot_observed_at":"2026-07-09T17:16:23.182934Z","title":"Hume, and Xin Li,On Hausdorff covers for non-Hausdorff groupoids (2025), 33 pp., available at2503.23203","venue":"math.OA","work_id":"b9f53acb-fffd-44d8-b993-18a8a4ae660e","year":2025},"citing_paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-09T17:09:32.210782Z"},"links":{"cited_paper":"/paper/2503.23203","citing_paper":"/paper/2607.07227"},"observation_digest":"sha256:89edf2e899cc0f2e6210cd7a6d3ac5b403dc1f20ec4ba6c70bcb9a773745b0b3","observation_id":"f41c22eb-a944-4980-b70a-63ced1b418dc","resolution":{"observed_at":"2026-07-09T17:16:23.184591Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T17:16:23.984039Z","title":"KK-duality for self-similar groupoid actions on graphs","venue":null,"work_id":"a75bd724-9c5a-4322-af68-77a2851a8c48","year":2024},"citing_paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-09T17:09:32.210782Z"},"links":{"citing_paper":"/paper/2607.07227"},"observation_digest":"sha256:8bbdc3bacbed26aec8073cf2aa2314f5f96cea7fb5325ca8324fdd4e11cf26f9","observation_id":"a52200da-630e-4c36-9438-bf0fe24785af","resolution":{"observed_at":"2026-07-09T17:16:23.985666Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T17:16:23.985890Z","title":"Simplicity of algebras associated to non-Hausdorff groupoids","venue":null,"work_id":"51213bd8-b3ef-4eee-b910-2c43105c7c64","year":2019},"citing_paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-09T17:09:32.210782Z"},"links":{"citing_paper":"/paper/2607.07227"},"observation_digest":"sha256:6c492ca157addb885b4039ebe9239983144b801d74057e2cb6a96e2d66da38a4","observation_id":"4d9da0aa-2709-4857-8391-2ce87c6305ab","resolution":{"observed_at":"2026-07-09T17:16:23.987391Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T17:16:23.979976Z","title":"Inverse semigroups and combinatorialC∗-algebras","venue":null,"work_id":"95346c10-9750-48e3-9c8d-92042f020956","year":2007},"citing_paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-09T17:09:32.210782Z"},"links":{"citing_paper":"/paper/2607.07227"},"observation_digest":"sha256:feb5a880d04f03af2399bc2e1c04e1f73e3fd90f78cd75b1faf371ffb76d2031","observation_id":"a8d78351-f90a-4f76-8569-3a512cbf0499","resolution":{"observed_at":"2026-07-09T17:16:23.981853Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T17:16:23.982038Z","title":"Self-similar graphs, a unified treatment of Katsura and NekrashevychC ∗-algebras","venue":null,"work_id":"7a472b39-f825-4a39-8a28-175237754161","year":2017},"citing_paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-09T17:09:32.210782Z"},"links":{"citing_paper":"/paper/2607.07227"},"observation_digest":"sha256:4469881318b603d41e757386e54ba1de5ab57d9bf602a74f45616bf235ccdb5e","observation_id":"9572c5e6-9656-4655-acab-001319199686","resolution":{"observed_at":"2026-07-09T17:16:23.983523Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T17:16:23.978076Z","title":"Simplicity ofC∗-algebras of contracting self-similar groups","venue":null,"work_id":"a1a44bc0-f7d3-4aaf-8607-abea78be85e8","year":2025},"citing_paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-09T17:09:32.210782Z"},"links":{"citing_paper":"/paper/2607.07227"},"observation_digest":"sha256:910fcee847a0649d8fe55d0f2b5d7cd7b9760a021b1ba0c84ffb17e48dc3f64a","observation_id":"e9dac709-61ba-4a0c-a4c8-0b1acdaf0843","resolution":{"observed_at":"2026-07-09T17:16:23.979490Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2511.04391","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T17:16:23.186001Z","title":"Hume.On dense subalgebras of the singular ideal in groupoid C*-algebras","venue":null,"work_id":"1a32a310-40d3-4b37-aa8d-97ed5ca9875f","year":2026},"citing_paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-09T17:09:32.210782Z"},"links":{"citing_paper":"/paper/2607.07227"},"observation_digest":"sha256:ced3338aff44397e9ecc161da3643b3beeccf996237e3f6a212d46a1389aab4a","observation_id":"79bc4c6c-c442-4b3b-9d92-692c0d876fb0","resolution":{"observed_at":"2026-07-09T17:16:23.189791Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2509.07262","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T17:16:23.195834Z","title":"Characterizations of zero singular ideal in étale groupoid C*-algebras via compressible maps","venue":null,"work_id":"8529e7e0-7018-4528-a4ce-16aecf53ac2d","year":2025},"citing_paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-09T17:09:32.210782Z"},"links":{"citing_paper":"/paper/2607.07227"},"observation_digest":"sha256:9a51425e578e9e130ff63db7ce46deb8d51c751a83082f9cc10acde6d7a3f066","observation_id":"69dc6955-c3f9-442d-b92f-93f382ade3fb","resolution":{"observed_at":"2026-07-09T17:16:23.198603Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T17:16:23.987952Z","title":"Katsura-Exel-Pardo self-similar actions, Putnam’s binary factors and their limit spaces","venue":null,"work_id":"4c45d2c6-f547-48cb-a9f9-af81044e3bb2","year":2025},"citing_paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-09T17:09:32.210782Z"},"links":{"citing_paper":"/paper/2607.07227"},"observation_digest":"sha256:df24eb00d1a4a5275c432591cb51350b5ff0d8cd0b1aa9eb292036253451e448","observation_id":"1922d7d0-d9d0-4ecd-abd0-8f751845d938","resolution":{"observed_at":"2026-07-09T17:16:23.989706Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T17:16:23.991918Z","title":"A construction of actions on Kirchberg algebras which induce given actions on their K-groups","venue":null,"work_id":"92faaf21-808a-477d-a145-245047f7ffe7","year":2008},"citing_paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-09T17:09:32.210782Z"},"links":{"citing_paper":"/paper/2607.07227"},"observation_digest":"sha256:86394cb23e3a165f453b3d667f4743c274301c6ffb15d37a0bde554b97872964","observation_id":"23786067-c9c1-4ea2-83e0-7dd4c9df69ec","resolution":{"observed_at":"2026-07-09T17:16:23.993475Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T17:16:23.972610Z","title":"Essential crossed products for inverse semigroup actions: simplicity and pure infiniteness","venue":null,"work_id":"d50093c7-70c4-4177-b667-ab6db5459c0e","year":2021},"citing_paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-09T17:09:32.210782Z"},"links":{"citing_paper":"/paper/2607.07227"},"observation_digest":"sha256:1faa8eb90619ab2f25f529dfadd9fe8cc66bd42210e1237e97138931c625174f","observation_id":"fe46b65c-68bb-46e7-b2b8-b3532544d96e","resolution":{"observed_at":"2026-07-09T17:16:23.974299Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T17:16:23.976265Z","title":"Equilibrium states on operator algebras associated to self-similar actions of groupoids on graphs","venue":null,"work_id":"27b8dd14-914d-44b1-9364-93c7d659c173","year":2018},"citing_paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-09T17:09:32.210782Z"},"links":{"citing_paper":"/paper/2607.07227"},"observation_digest":"sha256:383baf8eb4cf27dfb3b8f8a9f97b4c4b5012647cb68838b3cf26db72b380e2dd","observation_id":"7b0797b0-28b7-4b54-b3dc-1577aae58224","resolution":{"observed_at":"2026-07-09T17:16:23.977857Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2409.02359","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T17:16:23.191395Z","title":"arXiv: 2409.02359","venue":null,"work_id":"96a5dc7d-8072-4623-b722-4572e6e58513","year":2025},"citing_paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-09T17:09:32.210782Z"},"links":{"citing_paper":"/paper/2607.07227"},"observation_digest":"sha256:edb648586e4ce5e83cef646407ec50bf89f54a4341eb3a18a803ac054539591c","observation_id":"26079bc5-e981-4157-b6f7-a0607562d0b5","resolution":{"observed_at":"2026-07-09T17:16:23.194096Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2511.07906","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T17:16:23.179249Z","title":"Kwaśniewski.Twisted operator algebras of self-similar groupoid actions on arbitrary graphs","venue":null,"work_id":"ac0cd3b4-6a6f-4c00-ac64-bf1b9e89a790","year":2025},"citing_paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-09T17:09:32.210782Z"},"links":{"citing_paper":"/paper/2607.07227"},"observation_digest":"sha256:6a148a19163794c9cd49ea87f258c5aea3c8e535f9906225dfb51f2fbb06e123","observation_id":"cef620fd-210c-4904-8acc-47dc3a8d05dc","resolution":{"observed_at":"2026-07-09T17:16:23.181211Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T17:16:23.968764Z","title":"C∗-algebras and self-similar groups","venue":null,"work_id":"e533f35f-f045-4028-af31-e49e5bf3d90f","year":2009},"citing_paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-09T17:09:32.210782Z"},"links":{"citing_paper":"/paper/2607.07227"},"observation_digest":"sha256:efe580cc9824e682707a158e9d8c7487473a0d57e8048e71b896456d174c7645","observation_id":"f14df9bf-f40a-4009-8b19-e5a0d9111c79","resolution":{"observed_at":"2026-07-09T17:16:23.970394Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T17:16:23.964650Z","title":"Mathematical surveys and monographs","venue":null,"work_id":"e1d4d996-d1cf-4f78-a82d-06936ba47284","year":2005},"citing_paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-09T17:09:32.210782Z"},"links":{"citing_paper":"/paper/2607.07227"},"observation_digest":"sha256:0642c9807262fb7338288ee03aa7ca1fe1a76506974dade93e6a09dc14e54a48","observation_id":"d278355f-0d2a-40ac-af00-6b0aeee2e283","resolution":{"observed_at":"2026-07-09T17:16:23.966050Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T17:16:23.966774Z","title":"Katsura-Exel-Pardo groupoids and the AH conjecture","venue":null,"work_id":"da3d0903-627d-4611-959b-1ee61846965e","year":2021},"citing_paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-09T17:09:32.210782Z"},"links":{"citing_paper":"/paper/2607.07227"},"observation_digest":"sha256:a5f0b9293749c8141d3fb157662f63a4af37650314298593d952a9f293c34d6e","observation_id":"e3490297-2008-4afb-934a-8fc962ff9c85","resolution":{"observed_at":"2026-07-09T17:16:23.968482Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T17:16:23.970607Z","title":"The homology of the Katsura–Exel–Pardo groupoid","venue":null,"work_id":"080bd4a5-4e93-47fc-af50-767ff0982b3e","year":2020},"citing_paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-09T17:09:32.210782Z"},"links":{"citing_paper":"/paper/2607.07227"},"observation_digest":"sha256:640c5e9b65e2a96b634d14e3677b7de71fce5895728bda47ce067598026ce08d","observation_id":"8f88c074-f0e7-47da-ad32-4f749b9a3bcc","resolution":{"observed_at":"2026-07-09T17:16:23.972003Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T17:16:23.974477Z","title":null,"venue":null,"work_id":"80865a77-7c49-467a-9046-24b1675ec302","year":1999},"citing_paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-09T17:09:32.210782Z"},"links":{"citing_paper":"/paper/2607.07227"},"observation_digest":"sha256:b41d4d3aa227717a3d3dfea27d79edd530e132e0006c345da6d8b3cd18721de5","observation_id":"0d0bc774-c924-4872-bd2c-9800f7c8667c","resolution":{"observed_at":"2026-07-09T17:16:23.975700Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T17:16:23.963034Z","title":null,"venue":null,"work_id":"4656219d-2784-467d-b413-cf58733eb3b2","year":1980},"citing_paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-09T17:09:32.210782Z"},"links":{"citing_paper":"/paper/2607.07227"},"observation_digest":"sha256:7a178c21623867563dfb11ce27b3290a91ec37b9cd9995851d898b24923b8427","observation_id":"77261f2e-7a62-4235-b9ee-c8931d63c8e0","resolution":{"observed_at":"2026-07-09T17:16:23.964443Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T17:16:23.961123Z","title":"A groupoid approach to discrete inverse semigroup al- gebras","venue":null,"work_id":"2c91d6c2-24cc-4165-aae6-08beec3b4270","year":2010},"citing_paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-09T17:09:32.210782Z"},"links":{"citing_paper":"/paper/2607.07227"},"observation_digest":"sha256:a6cb5f6ddfb55bee1f9141301c0cf73c63ea9c1656ce5c2b7b4e8aca7d83582c","observation_id":"0dfe8294-8087-4821-908d-258e1d1618f5","resolution":{"observed_at":"2026-07-09T17:16:23.962557Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T17:16:23.957114Z","title":"On the simplicity of Nekrashevych algebras of contracting self-similar groups","venue":null,"work_id":"d6700ac6-455c-4fe9-b22a-019aa59c4739","year":2023},"citing_paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-09T17:09:32.210782Z"},"links":{"citing_paper":"/paper/2607.07227"},"observation_digest":"sha256:d3fc04c947ccd5ba69bcb42aba2956c03be5d6b0691eb5361453c97cb702f915","observation_id":"70d9137c-3130-45d2-b597-ce48954b8cab","resolution":{"observed_at":"2026-07-09T17:16:23.958641Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T17:16:23.959130Z","title":"Simplicity of inverse semigroup and étale groupoid algebras","venue":null,"work_id":"abaa6c1b-6745-4eb3-b5f7-08c03fe774fa","year":2021},"citing_paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-09T17:09:32.210782Z"},"links":{"citing_paper":"/paper/2607.07227"},"observation_digest":"sha256:a16d025afe12e94e43af9b7a5ef84876c035dd463941e10fd1c5264021f0eeb7","observation_id":"b321c2dd-8db6-41cc-ae92-1d6855608c49","resolution":{"observed_at":"2026-07-09T17:16:23.960868Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2607.07227","last_updated":"2026-07-08T10:09:11Z","latest_version":1,"primary_category":"math.RA","snapshot_observed_at":"2026-08-16T11:50:44.670942Z","submitted_at":"2026-07-08T10:09:11Z","title":"On the simplicity of Katsura algebras"},"reference_resolution":{"displayed":24,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":5,"verified_fuzzy":17},"total_outbound_references":24},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2607.07227."}