{"as_of":"2026-08-10T05:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:91652d945dfc783098c2d961c94ac44785a23b83935838bdd5229739d1eec6a8","coverage":[{"denominator":14,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":14,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T05:02:26.776929Z","state":"measured"},{"denominator":14,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":14,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+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/2506.09563/citation-record","integrity":"/paper/2506.09563/integrity","json":"/paper/2506.09563/citation-record.json","paper":"/paper/2506.09563"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2303.09997","last_updated":"2025-06-12T07:37:29Z","snapshot_observed_at":"2026-08-09T10:18:41.636405Z","submitted_at":"2023-03-17T14:15:55Z","title":"Banach algebras associated to twisted \\'etale groupoids: inverse semigroup disintegration and representations on $L^p$-spaces","version":4},"cited_work":{"arxiv_id":"2303.09997","doi":null,"metadata_source":"pith","pith_arxiv_id":"2303.09997","snapshot_observed_at":"2026-08-07T05:02:26.983013Z","title":"Banach algebras associated to twisted \\'etale groupoids: inverse semigroup disintegration and representations on $L^p$-spaces","venue":"math.FA","work_id":"a2ae223d-6710-4e10-807b-7171b4d93f1a","year":2023},"citing_paper":{"arxiv_id":"2506.09563","last_updated":"2025-06-11T09:51:26Z","snapshot_observed_at":"2026-08-09T10:18:51.586203Z","submitted_at":"2025-06-11T09:51:26Z","title":"Rigidity of pseudofunction algebras of ample groupoids","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T05:02:26.732674Z"},"links":{"cited_paper":"/paper/2303.09997","citing_paper":"/paper/2506.09563"},"observation_digest":"sha256:e74bc684d418070928bd5a0a118de0139596626cf2def412299a8772f7b70ab3","observation_id":"0e3c5f4a-bb5b-491f-b817-163abe237722","resolution":{"observed_at":"2026-08-07T05:02:26.986381Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2502.15591","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:02:26.944199Z","title":"Exel, Reconstructing a totally disconnected groupoid from its ample semigroup, Proc","venue":null,"work_id":"cbcb18a2-d66e-481d-bcdd-6654ea95c467","year":2010},"citing_paper":{"arxiv_id":"2506.09563","last_updated":"2025-06-11T09:51:26Z","snapshot_observed_at":"2026-08-09T10:18:51.586203Z","submitted_at":"2025-06-11T09:51:26Z","title":"Rigidity of pseudofunction algebras of ample groupoids","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T05:02:26.753287Z"},"links":{"citing_paper":"/paper/2506.09563"},"observation_digest":"sha256:723ed8d2fa73b6ca1f6ab7b8648d75c9dfb78858c609e2a8f840150ef653b00d","observation_id":"e283a0f7-0892-419e-9823-5e9ebdde7f7e","resolution":{"observed_at":"2026-08-07T05:02:26.949176Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T05:02:27.001521Z","title":"SameiandM","venue":null,"work_id":"cf6a360f-1965-4878-9f02-31f5708fbb35","year":2024},"citing_paper":{"arxiv_id":"2506.09563","last_updated":"2025-06-11T09:51:26Z","snapshot_observed_at":"2026-08-09T10:18:51.586203Z","submitted_at":"2025-06-11T09:51:26Z","title":"Rigidity of pseudofunction algebras of ample groupoids","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T05:02:26.770316Z"},"links":{"citing_paper":"/paper/2506.09563"},"observation_digest":"sha256:4d10255db7d4e072d23abfcdbc749a6ec9d9c0c0b03b5c8daa7be2b757097cbe","observation_id":"65bca981-af94-48da-9b30-2ab52bd2d574","resolution":{"observed_at":"2026-08-07T05:02:27.004553Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1710.10897","last_updated":"2018-10-04T21:38:43Z","snapshot_observed_at":"2026-08-05T12:30:52.322359Z","submitted_at":"2017-10-30T12:28:54Z","title":"\\'Etale groupoids and their $C^*$-algebras","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1710.10897","snapshot_observed_at":"2026-08-07T05:02:26.773366Z","title":"Sims, ´Etale groupoids and their C ∗-algebras, preprint (arXiv:1710.10897 [math.OA]),","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.09563","last_updated":"2025-06-11T09:51:26Z","snapshot_observed_at":"2026-08-09T10:18:51.586203Z","submitted_at":"2025-06-11T09:51:26Z","title":"Rigidity of pseudofunction algebras of ample groupoids","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T05:02:26.773366Z"},"links":{"cited_paper":"/paper/1710.10897","citing_paper":"/paper/2506.09563"},"observation_digest":"sha256:03509ea53f3072cb98e603e0e865a319ec34d410c3a9aeadf1edb2b04c5abc7c","observation_id":"8a837a34-50e8-4d11-a852-a2722abc64d9","resolution":{"observed_at":"2026-08-07T05:02:26.773366Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.07710","last_updated":"2024-11-12T10:53:26Z","snapshot_observed_at":"2026-08-09T10:18:33.941010Z","submitted_at":"2024-11-12T10:53:26Z","title":"Symmetrized pseudofunction algebras from $L^p$-representations and amenability of locally compact groups","version":1},"cited_work":{"arxiv_id":"2411.07710","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.07710","snapshot_observed_at":"2026-08-07T05:02:26.970517Z","title":"Symmetrized pseudofunction algebras from $L^p$-representations and amenability of locally compact groups","venue":"math.FA","work_id":"da1dbdfb-189f-4aeb-9460-693c20aa20bb","year":2024},"citing_paper":{"arxiv_id":"2506.09563","last_updated":"2025-06-11T09:51:26Z","snapshot_observed_at":"2026-08-09T10:18:51.586203Z","submitted_at":"2025-06-11T09:51:26Z","title":"Rigidity of pseudofunction algebras of ample groupoids","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T05:02:26.746506Z"},"links":{"cited_paper":"/paper/2411.07710","citing_paper":"/paper/2506.09563"},"observation_digest":"sha256:f49f9ba1ebe0d191109320173d400459a779de7e194ac3b6e1001a3ed26fb1c9","observation_id":"16921e09-259c-4a40-afb9-68ae1fcbbc84","resolution":{"observed_at":"2026-08-07T05:02:26.973930Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T05:02:27.035758Z","title":null,"venue":null,"work_id":"dab16a6e-7a01-465a-a7ba-564a2fccc7ef","year":2024},"citing_paper":{"arxiv_id":"2506.09563","last_updated":"2025-06-11T09:51:26Z","snapshot_observed_at":"2026-08-09T10:18:51.586203Z","submitted_at":"2025-06-11T09:51:26Z","title":"Rigidity of pseudofunction algebras of ample groupoids","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-07T05:02:26.743437Z"},"links":{"citing_paper":"/paper/2506.09563"},"observation_digest":"sha256:f9545524f53cf64f89ebaf3ad4d3826174c3431dea9db0e266de436d2fc542b2","observation_id":"216614d0-812e-4b69-a37b-7af90d84df38","resolution":{"observed_at":"2026-08-07T05:02:27.038372Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T05:02:27.043806Z","title":null,"venue":null,"work_id":"5731fd76-ae21-4e11-952a-237aeb3a6a2e","year":2021},"citing_paper":{"arxiv_id":"2506.09563","last_updated":"2025-06-11T09:51:26Z","snapshot_observed_at":"2026-08-09T10:18:51.586203Z","submitted_at":"2025-06-11T09:51:26Z","title":"Rigidity of pseudofunction algebras of ample groupoids","version":1},"reference_index":1971,"source":"pdf_text","source_observed_at":"2026-08-07T05:02:26.740290Z"},"links":{"citing_paper":"/paper/2506.09563"},"observation_digest":"sha256:bd41efcc1b12ea1edd0b098267745eff6688d1535f20f6df85613042131127ba","observation_id":"24f4dd28-eefb-437d-9ac1-3c04f6faf364","resolution":{"observed_at":"2026-08-07T05:02:27.046507Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1909.11278","last_updated":"2019-09-25T04:18:28Z","snapshot_observed_at":"2026-08-09T20:32:50.409400Z","submitted_at":"2019-09-25T04:18:28Z","title":"Simplicity of reduced group Banach algebras","version":1},"cited_work":{"arxiv_id":"1909.11278","doi":null,"metadata_source":"pith","pith_arxiv_id":"1909.11278","snapshot_observed_at":"2026-08-07T05:02:26.816103Z","title":"Simplicity of reduced group Banach algebras","venue":"math.FA","work_id":"cff8d55f-fbc4-498e-acbf-f7829777bf0a","year":2019},"citing_paper":{"arxiv_id":"2506.09563","last_updated":"2025-06-11T09:51:26Z","snapshot_observed_at":"2026-08-09T10:18:51.586203Z","submitted_at":"2025-06-11T09:51:26Z","title":"Rigidity of pseudofunction algebras of ample groupoids","version":1},"reference_index":1976,"source":"pdf_text","source_observed_at":"2026-08-07T05:02:26.760010Z"},"links":{"cited_paper":"/paper/1909.11278","citing_paper":"/paper/2506.09563"},"observation_digest":"sha256:85184319bf3cb06f4dda563b05d8bfc1d9ee2b5b4fab74533e327cc85fc2a2c3","observation_id":"face24fa-49a0-4395-94e2-faae4f56eba8","resolution":{"observed_at":"2026-08-07T05:02:26.821902Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T05:02:27.010298Z","title":"Renault, Cartan subalgebras in C ∗-algebras,Irish Math","venue":null,"work_id":"708b9ee5-35c5-4b5c-ab62-192b5546624b","year":2008},"citing_paper":{"arxiv_id":"2506.09563","last_updated":"2025-06-11T09:51:26Z","snapshot_observed_at":"2026-08-09T10:18:51.586203Z","submitted_at":"2025-06-11T09:51:26Z","title":"Rigidity of pseudofunction algebras of ample groupoids","version":1},"reference_index":1980,"source":"pdf_text","source_observed_at":"2026-08-07T05:02:26.767392Z"},"links":{"citing_paper":"/paper/2506.09563"},"observation_digest":"sha256:f6bbaacfea0d4249f867aee38a62520aea685d7b29279bb5678fbd494f9660a9","observation_id":"a5bde070-6508-404b-ab1e-030e1787bb28","resolution":{"observed_at":"2026-08-07T05:02:27.013050Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T05:02:26.992466Z","title":null,"venue":null,"work_id":"f8ffde59-2728-42f4-a5c0-548a3a57729c","year":2017},"citing_paper":{"arxiv_id":"2506.09563","last_updated":"2025-06-11T09:51:26Z","snapshot_observed_at":"2026-08-09T10:18:51.586203Z","submitted_at":"2025-06-11T09:51:26Z","title":"Rigidity of pseudofunction algebras of ample groupoids","version":1},"reference_index":2017,"source":"pdf_text","source_observed_at":"2026-08-07T05:02:26.776929Z"},"links":{"citing_paper":"/paper/2506.09563"},"observation_digest":"sha256:36dabc68abed9bb0f3ced66290d3c4cca24325fe1bf857e68fd41e69e1777251","observation_id":"58d5c329-1d2c-49d5-8606-526d0ec687ec","resolution":{"observed_at":"2026-08-07T05:02:26.995625Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T05:02:27.018573Z","title":"Rako ˇcevi´c, Moore-Penrose inverse in Banach algebras,Proc","venue":null,"work_id":"0799e450-f1d9-48e8-8be7-72eb02de7398","year":1988},"citing_paper":{"arxiv_id":"2506.09563","last_updated":"2025-06-11T09:51:26Z","snapshot_observed_at":"2026-08-09T10:18:51.586203Z","submitted_at":"2025-06-11T09:51:26Z","title":"Rigidity of pseudofunction algebras of ample groupoids","version":1},"reference_index":2019,"source":"pdf_text","source_observed_at":"2026-08-07T05:02:26.764362Z"},"links":{"citing_paper":"/paper/2506.09563"},"observation_digest":"sha256:e6ea623edeec4ff39a13e460c0888f341ca9386e18766f6791a8c7efdda05a66","observation_id":"3aa3d247-4947-4cba-8d10-6a811418c927","resolution":{"observed_at":"2026-08-07T05:02:27.021367Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T05:02:27.052221Z","title":"BiceandL","venue":null,"work_id":"1b470832-1190-4d90-9f31-8200c9337cdd","year":2021},"citing_paper":{"arxiv_id":"2506.09563","last_updated":"2025-06-11T09:51:26Z","snapshot_observed_at":"2026-08-09T10:18:51.586203Z","submitted_at":"2025-06-11T09:51:26Z","title":"Rigidity of pseudofunction algebras of ample groupoids","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-07T05:02:26.737051Z"},"links":{"citing_paper":"/paper/2506.09563"},"observation_digest":"sha256:6ba83577c85241046f5032139c1ff413b7da43f9eb3d2db56d40f4bffb92c43e","observation_id":"d455ee56-f134-4ca4-8403-4e5c20192a8e","resolution":{"observed_at":"2026-08-07T05:02:27.056550Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.18136","last_updated":"2024-08-22T11:59:46Z","snapshot_observed_at":"2026-08-02T22:13:55.992641Z","submitted_at":"2023-10-27T13:26:55Z","title":"Property (T) for Banach algebras","version":2},"cited_work":{"arxiv_id":"2310.18136","doi":null,"metadata_source":"pith","pith_arxiv_id":"2310.18136","snapshot_observed_at":"2026-08-07T05:02:26.958386Z","title":"Property (T) for Banach algebras","venue":"math.FA","work_id":"05a3415e-b54b-4c6b-bf84-d30c59e3d531","year":2023},"citing_paper":{"arxiv_id":"2506.09563","last_updated":"2025-06-11T09:51:26Z","snapshot_observed_at":"2026-08-09T10:18:51.586203Z","submitted_at":"2025-06-11T09:51:26Z","title":"Rigidity of pseudofunction algebras of ample groupoids","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-07T05:02:26.749838Z"},"links":{"cited_paper":"/paper/2310.18136","citing_paper":"/paper/2506.09563"},"observation_digest":"sha256:927990981643fca567ad5ed6e695b021cd26cebcd7da2795bb2ed39cc77e847b","observation_id":"d9d10ac1-b8f7-467f-9ff1-5e1826ce0db0","resolution":{"observed_at":"2026-08-07T05:02:26.961593Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T05:02:27.027825Z","title":"HejazianandS","venue":null,"work_id":"8b8af533-7e7e-4425-8820-e78ec7094d80","year":2015},"citing_paper":{"arxiv_id":"2506.09563","last_updated":"2025-06-11T09:51:26Z","snapshot_observed_at":"2026-08-09T10:18:51.586203Z","submitted_at":"2025-06-11T09:51:26Z","title":"Rigidity of pseudofunction algebras of ample groupoids","version":1},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-07T05:02:26.756492Z"},"links":{"citing_paper":"/paper/2506.09563"},"observation_digest":"sha256:4575b5468bd5cc4f9b75f1eb3494f28ac5fffcf8ff3217156aedcfbbfe3abcb9","observation_id":"30c07091-92de-4edf-b7c7-f50327712795","resolution":{"observed_at":"2026-08-07T05:02:27.030481Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.09563","last_updated":"2025-06-11T09:51:26Z","latest_version":1,"primary_category":"math.OA","snapshot_observed_at":"2026-08-09T10:18:51.586203Z","submitted_at":"2025-06-11T09:51:26Z","title":"Rigidity of pseudofunction algebras of ample groupoids"},"reference_resolution":{"displayed":14,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":4,"verified_exact":4,"verified_fuzzy":5},"total_outbound_references":14},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2506.09563."}