{"as_of":"2026-08-23T22:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d2f4c7e9706fe49e362598b264d962118036ecbc684c4d7ae0d3f97e4d3522a5","coverage":[{"denominator":38,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":38,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T14:52:41.316393Z","state":"measured"},{"denominator":39,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":39,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-23T06:30:58.430688+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T23:15:28.389430Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-10T23:15:28.499849Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"cited_work":{"arxiv_id":"2411.14906","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.14906","snapshot_observed_at":"2026-08-10T23:15:28.499849Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","venue":"math.OA","work_id":"0b330af4-2573-47df-890e-63b914ec96f7","year":2024},"citing_paper":{"arxiv_id":"2501.00166","last_updated":"2025-08-01T22:49:07Z","snapshot_observed_at":"2026-08-19T14:53:47.065779Z","submitted_at":"2024-12-30T22:22:28Z","title":"Cohomology of ample groupoids","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T23:15:28.389430Z"},"links":{"cited_paper":"/paper/2411.14906","citing_paper":"/paper/2501.00166"},"observation_digest":"sha256:af9238304943b803be8ff8b674f710a218b04b4dbbd43fb18a4df1cdd4e36e79","observation_id":"f58a442d-40f9-4c04-9db2-f5a941b0f75f","resolution":{"observed_at":"2026-08-10T23:15:28.504923Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2411.14906/citation-record","integrity":"/paper/2411.14906/integrity","json":"/paper/2411.14906/citation-record.json","paper":"/paper/2411.14906"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:52:42.526629Z","title":"Akkermans, Y","venue":null,"work_id":"db7a5f9a-ec82-41b8-899c-29f1d517878b","year":2021},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:40.988601Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:b2d45bfe00d188328f2c882fe87f0711ed14e061684377d945896cf143f64522","observation_id":"07cf38f8-140e-4919-aebc-8d5824ed645c","resolution":{"observed_at":"2026-08-12T14:52:42.544753Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:42.497487Z","title":null,"venue":null,"work_id":"ed33883e-b4b5-4dc4-8ce8-964d78f8c910","year":1998},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:40.997387Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:7b7881d99e6b885bbcbaf2d5107814a48539b41c23fa2876387c212fab99f992","observation_id":"a80178fd-dd6d-4e55-aa37-e176ae0f1b35","resolution":{"observed_at":"2026-08-12T14:52:42.503890Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:42.467777Z","title":"Bellissard, R","venue":null,"work_id":"0c7c4f37-92c5-4128-b804-887f47dfc4ed","year":2006},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.002688Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:5a0dae86dc0c99ed0b2644326505fad9b4541b949e92edfd14791e8fe1baf12c","observation_id":"8e1ff2fd-b425-4f08-bf32-fb90fafbba3d","resolution":{"observed_at":"2026-08-12T14:52:42.472896Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:42.445581Z","title":"Bellissard, J","venue":null,"work_id":"2693db31-a628-4e72-a3bc-af4633099709","year":2001},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.012636Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:1c87422704b97b67451fd0b8d29854b6b474e6c0966b21e97ef16d839b083317","observation_id":"f2f866ae-14d7-4a62-967e-2131018da52e","resolution":{"observed_at":"2026-08-12T14:52:42.452800Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:42.410747Z","title":"Benameur and H","venue":null,"work_id":"d5830f25-a4ef-4ddc-a75f-ba9a95c24ac3","year":2001},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.019765Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:81936e44fd05553005894dda17aa149f96254aa110b1f7f4a16b9fed92f5ad89","observation_id":"7d38a5b5-6aff-49ed-a871-b0b9b83c63fe","resolution":{"observed_at":"2026-08-12T14:52:42.416850Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:42.358693Z","title":"B¨ onicke, C","venue":null,"work_id":"72dd5253-e577-42f1-879d-3f033ed4d0f4","year":2023},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.028604Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:e134bf00c4ef32e85f6a1a50ec75a9534ca5ad68be694de056bb5dfd7abd33a9","observation_id":"409fe000-6c53-4a25-b6d6-1a95c705b876","resolution":{"observed_at":"2026-08-12T14:52:42.370923Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:42.319791Z","title":"Crainic, Cyclic cohomology and characteristic classes for foliations , Ph.D","venue":null,"work_id":"a75121de-9292-4ae4-aafb-8258f8f65d12","year":2000},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.037100Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:b344980d39797c1f30563a7e6652e58a2674524648d848be3654c03e3e04bb16","observation_id":"ed678b27-314c-46dd-a615-1f6ae3c00063","resolution":{"observed_at":"2026-08-12T14:52:42.326685Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/9905011","last_updated":"1999-05-03T19:24:32Z","snapshot_observed_at":"2026-08-18T04:10:11.964083Z","submitted_at":"1999-05-03T19:24:32Z","title":"A Homology Theory for Etale Groupoids","version":1},"cited_work":{"arxiv_id":"math/9905011","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/9905011","snapshot_observed_at":"2026-08-12T14:52:41.448642Z","title":"A Homology Theory for Etale Groupoids","venue":"math.KT","work_id":"78622467-4d1a-4b77-a350-e154a326733d","year":1999},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.044603Z"},"links":{"cited_paper":"/paper/math/9905011","citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:3274d84d23e4a4d5b008eec33b18e4c60907411d69930cc49f7bb62ded782083","observation_id":"2666ea4f-ec29-4c59-afe8-c70ef78e8fd7","resolution":{"observed_at":"2026-08-12T14:52:41.456677Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:42.285219Z","title":"Crainic and I","venue":null,"work_id":"84c00535-04b1-4b0d-bd6c-9db10d254b4a","year":2000},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.050542Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:e2ac162439aa3a6bfe6ba34de79ff6932c4dd27d282c6c4fe631317a032f5932","observation_id":"2e5eb34e-b89a-47ff-811b-580f2dd11461","resolution":{"observed_at":"2026-08-12T14:52:42.292275Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:42.255229Z","title":"de la Harpe and G","venue":null,"work_id":"2f3d3b7b-699b-4b46-ad79-7bada6b9cde5","year":1984},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.070636Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:036dd66fd1f3900a2720a6c54cfdd98434c4f08120a1e76587d0262b98968af9","observation_id":"9cd53731-d2a2-4db6-aeaf-5247d127620c","resolution":{"observed_at":"2026-08-12T14:52:42.264815Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:42.209063Z","title":"Farsi, A","venue":null,"work_id":"918ee2dc-f37c-4382-b5c3-0edbed0d20f8","year":2019},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.083854Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:864cb6b4ee39ca80e28ecb21f7c1ab7a26fde357c49c4fb7e101e0a39075ceb8","observation_id":"71bb9555-2366-4ab5-8484-f77d08291364","resolution":{"observed_at":"2026-08-12T14:52:42.225045Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:42.168474Z","title":"G¨ ahler, J","venue":null,"work_id":"eae1c422-32cf-4366-bfd7-2d4d1b9c892c","year":2013},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.094175Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:66e40bc23e4d6416ffcdd78a96030af9642bea3a339d3ae89a30dfa649d1b9c8","observation_id":"12158440-85ea-40c0-acf2-adec3509229b","resolution":{"observed_at":"2026-08-12T14:52:42.174689Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:42.143496Z","title":"Godement, Topologie alg´ ebrique et th´ eorie des faisceaux, vol","venue":null,"work_id":"29d47dbd-fd93-4d71-b764-c3bf9e98e6f6","year":1973},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.113014Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:2e9c6068270787957b49bfce3b1dbcba0d0912be50bce32bd65e80f2841b3b6e","observation_id":"4822b476-06dc-433e-a600-ee5b62e48fb6","resolution":{"observed_at":"2026-08-12T14:52:42.154167Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:42.110447Z","title":"Haefliger, Differential cohomology , in Differential topology (Varenna, 1976), Liguori, Naples, 1979, pp","venue":null,"work_id":"70e350ea-30d2-4a68-8665-92a596f28fa3","year":1976},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.120866Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:d123fd20de22b86cb28b4e58795575b076ec9411613cac2b6be4f1d1c65a4b81","observation_id":"d23a4672-1318-4b67-8bd1-158047a83320","resolution":{"observed_at":"2026-08-12T14:52:42.123235Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:42.078712Z","title":"Hatcher, Algebraic topology, Cambridge University Press, Cambridge, 2002","venue":null,"work_id":"3dbdce89-4aa4-45bb-a2b6-8fe757ecae6a","year":2002},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.129109Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:2ebe839d8d93b366d85c4e1b22be8cf1f71761af539eadd0c67109e05884d0e9","observation_id":"a9e39626-fd66-41bb-a40e-ac0fdeb3ff63","resolution":{"observed_at":"2026-08-12T14:52:42.085993Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:42.042314Z","title":"Kaminker and I","venue":null,"work_id":"a1b4cb7e-0a21-4f8c-9ce5-e75cdb2cc2f6","year":2003},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.139516Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:2744877f008e06671a48af141fdbb26e579f653e3eb4a40bcb0993647aae3a9e","observation_id":"da0d6c8e-8e7f-4b4a-a4fa-f1ad1a55fcbb","resolution":{"observed_at":"2026-08-12T14:52:42.052560Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:42.008043Z","title":"Kellendonk, Noncommutative geometry of tilings and gap labelling , Rev","venue":null,"work_id":"ffbfbecb-2c33-4dc1-92d3-5df74491ea34","year":1995},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.148682Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:433142f49680e11e892742c582b5bf9877fcc4ea269b49cbe443a7ec8043c056","observation_id":"fe27a0c1-149b-4068-b7c4-f4ab5aedbcd4","resolution":{"observed_at":"2026-08-12T14:52:42.020562Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:41.981922Z","title":"Kellendonk and I","venue":null,"work_id":"d486c1e8-2bca-4f92-a280-a0a70f861b7e","year":2000},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.156464Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:8102944434a5f113ca2e9647cfae7f62809f90b7144efd118477d655a4ad4474","observation_id":"5c041fe3-bf76-4835-a638-c49eeabee19a","resolution":{"observed_at":"2026-08-12T14:52:41.989164Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2107.05273","last_updated":"2025-10-30T14:33:22Z","snapshot_observed_at":"2026-07-06T11:28:11.352362Z","submitted_at":"2021-07-12T09:15:07Z","title":"Elementary amenability and almost finiteness","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2107.05273","snapshot_observed_at":"2026-08-12T14:52:41.166707Z","title":"Kerr and P","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.166707Z"},"links":{"cited_paper":"/paper/2107.05273","citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:ae0c5b0c52080590a105160893f904991f8731efb8baced9dcd17fac9ad08e65","observation_id":"d548fcf5-573b-497e-a0ab-e915e47bfc57","resolution":{"observed_at":"2026-08-12T14:52:41.166707Z","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":"2026-08-12T14:52:41.945470Z","title":"Kishimoto and A","venue":null,"work_id":"af0bc8bf-6869-4c79-856a-0311123a2d2c","year":2001},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.178522Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:aaa1e0b6c8f8d6ae6261d71b54d6fdd6a4d1c6fd4c4750fa6279ec010189abae","observation_id":"260e71f9-b33f-4c54-a75e-941d94b35275","resolution":{"observed_at":"2026-08-12T14:52:41.953103Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:41.909135Z","title":"Li, A new approach to recent constructions of C∗-algebras from modular index theory, J","venue":null,"work_id":"29bf6c16-ad2c-43a1-aae1-3d4907c91776","year":2015},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.185537Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:5231c11c71cc334a847552d501e7937d1294aaad187bfa2ca8af1bc9d635e0ff","observation_id":"c1f567b1-77b1-4173-bba9-344d9de531f5","resolution":{"observed_at":"2026-08-12T14:52:41.915869Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:41.885962Z","title":"Lin, Asymptotically unitary equivalence and asymptotically inner automorphisms , Amer","venue":null,"work_id":"ec3bba18-224b-4904-8c1f-faf6b0f9d065","year":2009},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.196128Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:39435843ef16dfa8a6ed7611f398315b50a0cb14e57ca237f8505580ea9b3ae1","observation_id":"a89b152f-2285-421f-8018-1b75c5444487","resolution":{"observed_at":"2026-08-12T14:52:41.892175Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:41.860797Z","title":"Matui, Ext and OrderExt classes of certain automorphisms of C∗-algebras arising from Cantor minimal systems , Canad","venue":null,"work_id":"a08db52e-4bd9-4e18-b920-c5e2b027dc00","year":2001},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.201929Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:bc36bb86e450ca6bcaf70b137839a5073f326cca3f3672adb78a437501075a3d","observation_id":"7cc95ff1-0bd8-41ae-95d1-84e5b46de1e6","resolution":{"observed_at":"2026-08-12T14:52:41.869055Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:41.830729Z","title":"Matui, Classification of homomorphisms into simple Z-stable C∗-algebras, J","venue":null,"work_id":"90d325dd-726f-4402-9af9-981aa19f8d73","year":2011},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.210332Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:6e816669ce3d4e11bc01a0f4b17cf99c5e0fb1514dc26db97d6d78770d33d5dc","observation_id":"f505b1d6-4150-4a17-9bf7-68c4abf2f49c","resolution":{"observed_at":"2026-08-12T14:52:41.839585Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:41.809983Z","title":"Matui, Homology and topological full groups of ´ etale groupoids on totally discon- nected spaces, Proc","venue":null,"work_id":"9a530d12-3701-4ffd-9352-68030bd80e26","year":2012},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.217408Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:a1f3c6dca8e6f1f79db65f628c8670f4d7dd0d5d926b0f0332cadf8f6b1de753","observation_id":"834ecfed-f90a-4185-8f5b-b4cfd902f739","resolution":{"observed_at":"2026-08-12T14:52:41.817130Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:41.782306Z","title":"Matui, Topological full groups of one-sided shifts of finite type , J","venue":null,"work_id":"011e278e-f723-4162-80c0-32a87fc5b7cd","year":2015},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.225590Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:973e7ecab7c7cacb5442942c3bad3e65856d9d1f9fc6dd92ea8d4580d2e801bd","observation_id":"60abf295-8213-495d-a0b4-87c675515b59","resolution":{"observed_at":"2026-08-12T14:52:41.789905Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:41.758449Z","title":"Matui, ´Etale groupoids arising from products of shifts of finite type , Adv","venue":null,"work_id":"953a243a-faaf-49c5-806d-e965bbfa3f3a","year":2016},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.232492Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:18100f64489c0056da8f048ccc2aa0db6f80214d4e04756adb38b608b6bb413d","observation_id":"cfcd4735-2518-49bd-9f7d-5697d455ae0b","resolution":{"observed_at":"2026-08-12T14:52:41.766327Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:41.730989Z","title":"Moerdijk, Proof of a conjecture of A","venue":null,"work_id":"e91dcb15-041c-4d63-9426-e47df8243dea","year":1998},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.239750Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:5d83146bb1ccc8d0c1d419af1c453ab25433c4edc748179696b9c1a417427915","observation_id":"09c9fc39-3174-4876-886c-2b5dd2d3e44b","resolution":{"observed_at":"2026-08-12T14:52:41.741087Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:41.703159Z","title":"Niu, Radius of comparison and mean topological dimension: Zd-actions, Canad","venue":null,"work_id":"b5afa854-a620-4527-9555-ac024c39fd5e","year":2024},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.245126Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:cbe120377d3cab8469e82889919e80037539863ddd154b9138ff67210739582d","observation_id":"33d6f81d-f232-41bb-a058-4a30fe51a25f","resolution":{"observed_at":"2026-08-12T14:52:41.712579Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:41.672719Z","title":"Ortega, The homology of the Katsura-Exel-Pardo groupoid, J","venue":null,"work_id":"437ff519-73cf-4b98-9236-bdda5ccc413b","year":2020},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.255464Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:8521dbf9be8a7de16d9235b285badc748575e65b8768e68be0db20c015507b61","observation_id":"a2611bcd-0fa0-4d3c-89cd-8f7b3e868f63","resolution":{"observed_at":"2026-08-12T14:52:41.679330Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:41.650118Z","title":"Ortega and A","venue":null,"work_id":"b00616fd-077e-43af-aea3-d693b6474d97","year":2022},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.263781Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:a5fb0dc8ef6f794df4887001fd66bfcdff33ff5d90306491b51561188dc6a26d","observation_id":"fe1af7e8-9824-4d3e-bc8f-5d03df990b82","resolution":{"observed_at":"2026-08-12T14:52:41.657506Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:41.623800Z","title":"Ortega and E","venue":null,"work_id":"21600f08-b803-4a84-8ebe-873240e8dd16","year":2023},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.273364Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:5e182868c98f67def94f66571942aefb422f9c6cc09c12bcb82ae70919ac7cca","observation_id":"7897e960-0266-4150-8529-59da807f99d2","resolution":{"observed_at":"2026-08-12T14:52:41.633294Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:41.596234Z","title":null,"venue":null,"work_id":"f4fcb337-6fa3-4391-a027-743fe10bd0a5","year":2000},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.279709Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:2b105d3ee368dfb1a3022c0863e74689f7714261cc2b02a7be3cf9c2414f0703","observation_id":"3ecbfbb4-0ab9-4b25-87e5-ab51e2bb6ad8","resolution":{"observed_at":"2026-08-12T14:52:41.604193Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:41.568679Z","title":"Proietti and M","venue":null,"work_id":"dd57c341-d01f-4c5b-8927-b11f626bd72c","year":2022},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.284900Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:4bd2dcd67a8346c56a96c9dedaefa35782b102b4afd35732b9f1b6d7bfb935b4","observation_id":"5244258e-8c20-4129-892d-58a5703bb220","resolution":{"observed_at":"2026-08-12T14:52:41.577875Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:41.547389Z","title":"Renault, A groupoid approach to C∗-algebras, vol","venue":null,"work_id":"a3591909-268c-446b-8963-5d7ac72d2c07","year":1980},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.292264Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:4ebc490e634f92652fb0142a31c731acbf0041ebcbea6599929c040b4d95df93","observation_id":"388299eb-83bd-4823-8742-40ebea79ced2","resolution":{"observed_at":"2026-08-12T14:52:41.553025Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:41.518354Z","title":"Renault, Cartan subalgebras in C∗-algebras, Irish Math","venue":null,"work_id":"150e7c5e-b04d-408b-854d-0c5d186de369","year":2008},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.301714Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:f941f3a8932c16c44dee64b66ca028d81b3cd3b7312ed7bc2daa49fa50827dca","observation_id":"2a49bb36-c421-4570-a4d7-e86c04a1353d","resolution":{"observed_at":"2026-08-12T14:52:41.528147Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2304.13691","last_updated":"2023-07-04T10:58:20Z","snapshot_observed_at":"2026-08-19T02:03:20.328655Z","submitted_at":"2023-04-26T17:17:20Z","title":"Rigidity, Generators and Homology of Interval Exchange Groups","version":3},"cited_work":{"arxiv_id":"2304.13691","doi":null,"metadata_source":"pith","pith_arxiv_id":"2304.13691","snapshot_observed_at":"2026-08-12T14:52:41.377730Z","title":"Rigidity, Generators and Homology of Interval Exchange Groups","venue":"math.GR","work_id":"ac29f806-be95-4590-816b-4250a45c13ac","year":2023},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.308392Z"},"links":{"cited_paper":"/paper/2304.13691","citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:e788f995ac37e72bd8baa6ba8bfc07b7b4d8733207e3ef018881a0bf9a29f0bf","observation_id":"a2e53897-9b2e-457a-aaf6-91248069b8ba","resolution":{"observed_at":"2026-08-12T14:52:41.385808Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-12T14:52:41.474117Z","title":"Yi, Homology and Matui’s HK conjecture for groupoids on one-dimensional solenoids, Bull","venue":null,"work_id":"6c96fd1d-9d69-4f30-9e60-eb048efa203a","year":2020},"citing_paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids","version":3},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-12T14:52:41.316393Z"},"links":{"citing_paper":"/paper/2411.14906"},"observation_digest":"sha256:f1b621f9f953b8716f0dc5fc52f3b1290e5d39bceb694fd30cd809da3053b262","observation_id":"deae7dc4-8a67-4d58-b9a2-fab549a51214","resolution":{"observed_at":"2026-08-12T14:52:41.484721Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.14906","last_updated":"2025-06-24T08:19:27Z","latest_version":3,"primary_category":"math.OA","snapshot_observed_at":"2026-08-19T15:49:32.482014Z","submitted_at":"2024-11-22T13:03:36Z","title":"Cup and cap products for cohomology and homology groups of ample groupoids"},"reference_resolution":{"displayed":38,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":2,"verified_fuzzy":33},"total_outbound_references":38},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2411.14906."}