{"as_of":"2026-08-08T22:38:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:273f7c66e2e87c242e2f637ea150d6f5cc06817329e4b7a9559beb7b0de8c054","coverage":[{"denominator":33,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":33,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T06:04:46.469515Z","state":"measured"},{"denominator":33,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":33,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2506.06503/citation-record","integrity":"/paper/2506.06503/integrity","json":"/paper/2506.06503/citation-record.json","paper":"/paper/2506.06503"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.15112","last_updated":"2025-05-28T14:43:39Z","snapshot_observed_at":"2026-07-06T20:10:19.704368Z","submitted_at":"2024-12-19T17:54:53Z","title":"Homology of Steinberg algebras","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.15112","snapshot_observed_at":"2026-08-07T06:04:46.339192Z","title":"Homology of Steinberg algebras","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.339192Z"},"links":{"cited_paper":"/paper/2412.15112","citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:9c0d3b18a10efd3e35b559a19dbcbe0fbb0813327989146652d29548ddd00567","observation_id":"3124d93a-fd29-46e8-ac62-d2b64e6f19ba","resolution":{"observed_at":"2026-08-07T06:04:46.339192Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.343967Z","title":null,"venue":null,"work_id":null,"year":1969},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.343967Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:b843766eb5fda36f604e889f07a5fbbfa76869ad9fd614a28c5c1cead9da913a","observation_id":"65195b4b-b798-4c7c-99a4-d55de8ce2d18","resolution":{"observed_at":"2026-08-07T06:04:46.343967Z","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":"2026-08-07T06:04:46.909170Z","title":"A categorical approach to the Baum-Connes conjec- ture for ´ etale groupoids.J","venue":null,"work_id":"76e82989-aea7-46a7-8e77-cb320cb2442e","year":2024},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.348080Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:f8ddb1b355772789634500e1f1633d7cb938c2bac766864c62eb246c3b1cdb3d","observation_id":"de0021cf-8a93-406b-8661-dbc6ee4d2cb7","resolution":{"observed_at":"2026-08-07T06:04:46.913497Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.352368Z","title":"General topology","venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.352368Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:14547079b55aa7c3da5a271ca055fe31029d7c4d1a33bb11298be1d0579cd49d","observation_id":"5308381a-dd42-4e92-a451-404faeb2f21c","resolution":{"observed_at":"2026-08-07T06:04:46.352368Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.23203","last_updated":"2025-03-29T20:01:27Z","snapshot_observed_at":"2026-08-07T16:28:11.942704Z","submitted_at":"2025-03-29T20:01:27Z","title":"On Hausdorff covers for non-Hausdorff groupoids","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.23203","snapshot_observed_at":"2026-08-07T06:04:46.356808Z","title":"On Hausdorff covers for non-Hausdorff groupoids.arXiv:2503.23203v1, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.356808Z"},"links":{"cited_paper":"/paper/2503.23203","citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:40f8620fa20a10840c1bb2880602af16c65ee48e0b1978476cafee8e035b9fea","observation_id":"e173ae74-324e-4e30-a3c7-7da7e8ce7765","resolution":{"observed_at":"2026-08-07T06:04:46.356808Z","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":"2026-08-07T06:04:46.883995Z","title":"Algebras associated with group actions and their homology.Brown Uni- versity preprint, 1986","venue":null,"work_id":"d2940fe2-2e7e-4828-a0cb-2523ad59ecd8","year":1986},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.361250Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:6624c31a0cd53b3468372a192ba42cb55c519a57009317641646dfadf6f2b2c2","observation_id":"73a0f9d1-d24f-4d7e-8100-197c1914387e","resolution":{"observed_at":"2026-08-07T06:04:46.888090Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.872199Z","title":null,"venue":null,"work_id":"8499bf55-1da9-4494-aea6-8089cd0a54f5","year":1996},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.365638Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:73a5c3b0e0f0e8cd8d7c934168eb0794d3de98e595f108103406ff949247b4fc","observation_id":"4003addd-27d1-4e12-a114-6c062a3f6dcf","resolution":{"observed_at":"2026-08-07T06:04:46.875783Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.860032Z","title":"Holkar, and Ralf Meyer","venue":null,"work_id":"10ec07f7-a1a5-4434-a8f2-3405fb99e6e9","year":2018},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.369380Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:e00885f3f2a07ac3d8550af2802df037d664b9f7b16a83e1329cb85f8ca3c516","observation_id":"87fb059d-5475-4eb6-ae58-e36a2b1a5225","resolution":{"observed_at":"2026-08-07T06:04:46.863923Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.848245Z","title":"Dynamic asymptotic dimension and Matui’s HK conjecture.Proc","venue":null,"work_id":"1be0ebd4-d266-466d-9424-1ba00e3ac6ad","year":2023},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.373018Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:745a08f6b5da0a3bab45acf91a7e7dde02cdbecc94448ba1c8bdfbb9169ced99","observation_id":"f5b6d778-9fa9-445a-9dbc-1512d1efbace","resolution":{"observed_at":"2026-08-07T06:04:46.852239Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.836129Z","title":"Noncommutative differential geometry.Inst","venue":null,"work_id":"24979ab0-18f4-4be7-a97b-f1481d181b7d","year":1985},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.377602Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:630124d44f31b7d1c16d31082be65ce095c80237bd878e3239dbb9a8427e0569","observation_id":"3cd223d0-d4ec-4e8e-9240-f9ebd7868574","resolution":{"observed_at":"2026-08-07T06:04:46.840049Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.824067Z","title":"Academic Press Inc., San Diego, CA, 1994","venue":null,"work_id":"4b42fc69-0ba7-4f09-857f-ddcf4c724a3e","year":1994},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.382017Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:2f14fc7fa2ed748bb909e4949a1560f0121fc0c054c03493d0aaed24d54de913","observation_id":"1cb6c9ae-797c-4582-994b-93ee7e67e875","resolution":{"observed_at":"2026-08-07T06:04:46.828072Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.810938Z","title":"A homology theory for ´ etale groupoids.J","venue":null,"work_id":"f0f44a78-8129-4d07-ac69-a084c63f7738","year":2000},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.386319Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:c5d80c5c536edc2671123e66ccecb27ffbadea7e52243538c394d6f43902f154","observation_id":"86dded24-5b74-4446-aca7-dedc280cd202","resolution":{"observed_at":"2026-08-07T06:04:46.815465Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.798766Z","title":"Algebra extensions and nonsingularity.J","venue":null,"work_id":"dbe3e439-3ad4-4904-a8d4-a7bdfc7c63e0","year":1995},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.390827Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:f976843acefe2b968d684fb049690cd1b4590a2da670105283fa283a1f6bf780","observation_id":"d5ed6e89-956e-401d-b8b7-3781d164f563","resolution":{"observed_at":"2026-08-07T06:04:46.802811Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.786233Z","title":"Cyclic homology and nonsingularity.J","venue":null,"work_id":"618f9b6f-03c6-49d8-bbc7-b5b2374bf6a7","year":1995},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.395050Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:c29cf440df1c807551c3421ddc852adb610d092b8a9d3b3378d18e48edd20467","observation_id":"a9ac1b41-f504-4544-aabc-c9b8477b6113","resolution":{"observed_at":"2026-08-07T06:04:46.790096Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.773238Z","title":"Excision in bivariant periodic cyclic cohomology.Invent","venue":null,"work_id":"9be1dbc2-0a73-48b6-a9ef-27422e390be3","year":1997},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.399383Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:22138fc3a8455f671e73ef54d9dd1ffa9b5555b5844cadafa7bc135cfd3bf501","observation_id":"69057b20-4294-47f5-8595-81d80836f198","resolution":{"observed_at":"2026-08-07T06:04:46.777350Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.760284Z","title":"Ample groupoids: equivalence, homology, and Matui’s HK conjecture.M¨ unster J","venue":null,"work_id":"d58ffe0a-7fbd-4d08-8bcf-ed7c722bded3","year":2019},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.403665Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:4ddc0e15ee6de1140f263031a64d28db4f46ffe6e5484d2a68b93dbbaf6c4541","observation_id":"2c9b79e1-42be-4ae7-b33f-a84b30706007","resolution":{"observed_at":"2026-08-07T06:04:46.764813Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.748098Z","title":"Every classifiable simple C ∗-algebra has a Cartan subalgebra.Invent","venue":null,"work_id":"3aa3211a-d74a-41ac-98bd-8b528ac2dcf4","year":2020},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.408020Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:ffe22372453fbf002562557fc8420048f7139f721f0e344e6ff4e2fd358d73bd","observation_id":"54152b3d-21ef-4997-a3f0-c69e61eef839","resolution":{"observed_at":"2026-08-07T06:04:46.752311Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.733922Z","title":"Homology and topological full groups of ´ etale groupoids on totally disconnected spaces.Proc","venue":null,"work_id":"6e9ea6be-b085-4a5c-a1f9-a1e8bbdccc78","year":2012},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.411688Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:c29cb9ad42cfc8d5003931f58c7eeb3079656dd2f253edc95c6623a4f5d0f9be","observation_id":"29f2e07e-7785-4530-b6cc-8d09b1167b53","resolution":{"observed_at":"2026-08-07T06:04:46.738600Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.720409Z","title":"´Etale groupoids arising from products of shifts of finite type.Adv","venue":null,"work_id":"80a28628-a29d-4cb1-865c-74e5a7dd426d","year":2016},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.415395Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:689e650a54f0b4a41019726e9158c9120fddaf77c5e130a3566898425e18cb5d","observation_id":"6bd8773c-337e-4bb8-b56e-23b398fcf56a","resolution":{"observed_at":"2026-08-07T06:04:46.724946Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.706270Z","title":"Analytic cyclic homology.PhD Thesis, University of M¨ unster, 1999","venue":null,"work_id":"6c596c2b-6c77-4cb1-8eaa-02839d1e8be5","year":1999},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.418955Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:b474235b4a3af26567eacb94f26a2e374d116ccde2e78f7af0f779207947002b","observation_id":"51cb82c8-fe4f-4d2f-b13d-4ed52e7a86ac","resolution":{"observed_at":"2026-08-07T06:04:46.710944Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.692465Z","title":null,"venue":null,"work_id":"e586de15-b0ba-4485-ae40-efb09a8c6384","year":1999},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.423037Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:bc16f1bfc1e58d1dcddab656f4c174f8ff6f9485c23bec961b1c65ca425a80f3","observation_id":"09d6edd9-40cf-46ef-a1cc-35ec2cc21aa9","resolution":{"observed_at":"2026-08-07T06:04:46.697360Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.678285Z","title":"Homology andK-theory of dynamical systems I","venue":null,"work_id":"9488d0dd-55fa-47c8-8368-815978c27f82","year":2022},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.426713Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:4d0e68fd9248716240d56155248787504f03c09f4e4de34c588077bd85860c9e","observation_id":"95fc9b79-b031-4821-8134-821e1e329336","resolution":{"observed_at":"2026-08-07T06:04:46.683213Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.664872Z","title":"Springer, Berlin, 1980","venue":null,"work_id":"f33acbb6-f918-4829-b55b-5c17762dc58e","year":1980},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.430533Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:0ebe382b33e4578b3fd3936c0ed940b511b2a16c64bd96db304383d1af22dbb5","observation_id":"309ef81d-a702-4a19-9d74-985cbfc47267","resolution":{"observed_at":"2026-08-07T06:04:46.669268Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.651345Z","title":"A groupoid approach to discrete inverse semigroup algebras.Adv","venue":null,"work_id":"ee93eb4c-895f-4fa7-ac0f-8cfa38219188","year":2010},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.433990Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:cc01cb868eb7aaea4797e474506356d887ffdaa7c1965aafce92933f9f4a5acf","observation_id":"e4ced3aa-18fd-4c21-850c-7eed25c81241","resolution":{"observed_at":"2026-08-07T06:04:46.656001Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.638339Z","title":"La conjecture de Baum-Connes pour les feuilletages moyennables.K-Theory, 17(3):215–264, 1999","venue":null,"work_id":"9c9bf7d8-fac3-4547-838c-974c63942e28","year":1999},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.437756Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:3e1bf03286875efb5946d3a4f91fd0ca9eb89a608fb9df6ce921b344b8acebdb","observation_id":"80d39644-3e31-4c56-ae94-13e59941a4c7","resolution":{"observed_at":"2026-08-07T06:04:46.642773Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.624648Z","title":"La conjecture de Novikov pour les feuilletages hyperboliques.K-Theory, 16(2):129–184, 1999","venue":null,"work_id":"f4bcd9ed-468f-4b4f-8385-3637b11b824f","year":1999},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.441911Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:2e71b86a3fb2e0c13dd7e547c26e52f2c86391f399499af90003ea73c22e0d86","observation_id":"b73be8e6-3877-49f3-aae2-c5dd504b017a","resolution":{"observed_at":"2026-08-07T06:04:46.629233Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.611198Z","title":"Non-Hausdorff groupoids, proper actions andK-theory.Doc","venue":null,"work_id":"d88c61ce-5003-4f94-b80c-6beb63438c4c","year":2004},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.445792Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:1d8eb55a944652bfabea6ca91e874bf834b71207100b3f491163d710d7326153","observation_id":"e18671c0-1d0a-400c-ae36-fa9418ec04d9","resolution":{"observed_at":"2026-08-07T06:04:46.615763Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.595363Z","title":"Van Daele","venue":null,"work_id":"60b59209-dd0f-4ef0-9d17-7f3835bd8625","year":1994},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.449811Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:bbfbc653ef5c57db48f3163764a676c264599bd29c82d03e681bda56ed5b5b04","observation_id":"9cc8c8fd-26ea-4ba8-8f47-8e9ad5f35d9d","resolution":{"observed_at":"2026-08-07T06:04:46.600588Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.581362Z","title":"Equivariant cyclic homology.PhD thesis, University of M¨ unster, 2003","venue":null,"work_id":"e9e14e0e-8646-4a5b-bc6f-58492ac150ed","year":2003},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.453944Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:f4063568b28f1fbdce6c6553083e8c821a3f1280d3f7287b8c5047e52a605667","observation_id":"f2a6b332-44d1-4025-a64e-18b87d5b6400","resolution":{"observed_at":"2026-08-07T06:04:46.585531Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.567890Z","title":"Equivariant periodic cyclic homology.J","venue":null,"work_id":"59132aac-7128-4a1e-b6a6-5c141b6f8aff","year":2007},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.457887Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:49dc1c6fc5d69da6623c1735e7507c53ed9cd421ec1e8f5be48eb57e0f32f7f6","observation_id":"01ea0878-28b1-45c4-8ed0-27fee2c7f999","resolution":{"observed_at":"2026-08-07T06:04:46.572211Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.553132Z","title":"Equivariant cyclic homology for quantum groups","venue":null,"work_id":"34c44e3f-722f-491a-b81f-2af83ee68b0d","year":2008},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.461800Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:2b1408db757ea4adb30f96f217d4db75beaa95fa3adc65c636d617e157025f9a","observation_id":"8fb949c7-565a-4ee8-8d1c-5a94106fd813","resolution":{"observed_at":"2026-08-07T06:04:46.557774Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.539195Z","title":"Chern character for totally disconnected groups.Math","venue":null,"work_id":"07102af7-f1f4-468c-9660-09b021e710da","year":2009},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.465648Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:d4f811a1245863bdd3b789e9ffa5d4a93b5a08d4c97b6a9984359351a11ce324","observation_id":"798fe962-6710-4e98-bf9c-acf9e22adad6","resolution":{"observed_at":"2026-08-07T06:04:46.543484Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T06:04:46.523079Z","title":"Weibel.An introduction to homological algebra, volume 38 ofCambridge Studies in Advanced Mathematics","venue":null,"work_id":"5b004f17-974a-4344-a6c8-3eeca32812bf","year":1994},"citing_paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:46.469515Z"},"links":{"citing_paper":"/paper/2506.06503"},"observation_digest":"sha256:75e57d2b1fedd4152f3a365155abdfa561e6d42cf128777444e053e98f7f9e5a","observation_id":"a5ae567e-836d-4ac9-b7bc-e7ffdd5d06bf","resolution":{"observed_at":"2026-08-07T06:04:46.529389Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.06503","last_updated":"2026-02-19T07:15:39Z","latest_version":2,"primary_category":"math.KT","snapshot_observed_at":"2026-08-07T05:53:07.850316Z","submitted_at":"2025-06-06T19:56:20Z","title":"Equivariant periodic cyclic homology for ample groupoids"},"reference_resolution":{"displayed":33,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":0,"verified_fuzzy":27},"total_outbound_references":33},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2506.06503."}