{"as_of":"2026-08-12T15:08:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4959983c9ed027c9a8c65b6fc141f9d719c74af8a2eec0257e52aaf9a059652e","coverage":[{"denominator":24,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":24,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T16:42:13.602705Z","state":"measured"},{"denominator":26,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":26,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T16:09:05.635570Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-11T23:01:21.928549Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.01119","snapshot_observed_at":"2026-08-05T16:09:05.635570Z","title":"Bode, Auslander regularity of p-adic Banach algebras via almost mathematics","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2508.19079","last_updated":"2025-08-26T14:39:09Z","snapshot_observed_at":"2026-08-05T16:09:02.865162Z","submitted_at":"2025-08-26T14:39:09Z","title":"A survey on Auslander-Gorenstein algebras","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T16:09:05.635570Z"},"links":{"cited_paper":"/paper/2502.01119","citing_paper":"/paper/2508.19079"},"observation_digest":"sha256:f138d24564ec4ea2b882ee61aa6669a138788f8814d3937758a2e51c8949dd7e","observation_id":"74d46c30-df64-4a18-8aa0-23cd1e68ce99","resolution":{"observed_at":"2026-08-05T16:09:05.635570Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"cited_work":{"arxiv_id":"2502.01119","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2502.01119","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"[Bod25b] Andreas Bode","venue":null,"work_id":"f1d26ce0-a69f-4955-a165-db1cb43c6a9c","year":null},"citing_paper":{"arxiv_id":"2604.24173","last_updated":"2026-07-14T13:26:19Z","snapshot_observed_at":"2026-08-12T01:05:12.318093Z","submitted_at":"2026-04-27T08:32:01Z","title":"On D-cap-Modules of Finite Length on Rigid Analytic Spaces","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-08T01:53:04.205812Z"},"links":{"cited_paper":"/paper/2502.01119","citing_paper":"/paper/2604.24173"},"observation_digest":"sha256:20dd19f92508963df031da6641d43dafc992b7c756dff9cfb63b7d87631aa8c3","observation_id":"daa1bd58-a267-4b79-be5c-d3edd57afdc5","resolution":{"observed_at":"2026-05-11T23:01:21.931417Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2502.01119/citation-record","integrity":"/paper/2502.01119/integrity","json":"/paper/2502.01119/citation-record.json","paper":"/paper/2502.01119"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T16:42:14.056749Z","title":"Ajitabh, S","venue":null,"work_id":"fc375e4e-df3f-49e4-9ae0-e8d99e52d040","year":null},"citing_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T16:42:13.471836Z"},"links":{"citing_paper":"/paper/2502.01119"},"observation_digest":"sha256:c338bf7e5cfe1ff40fd97e11af228f29aaa85d2063802c0acde5d661608e4596","observation_id":"d2d187e3-13af-4bab-b01a-d374deda5521","resolution":{"observed_at":"2026-08-09T16:42:14.062836Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T16:42:14.038810Z","title":null,"venue":null,"work_id":"f710263e-3498-4387-adb1-4f03f7ab26a2","year":2021},"citing_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-09T16:42:13.477943Z"},"links":{"citing_paper":"/paper/2502.01119"},"observation_digest":"sha256:da7ba17fceb1f18050794ea3361f806b53d55a2647d1224a020ab490a899c05c","observation_id":"4965cc6d-aebe-4975-b865-ce8eddd5c9f6","resolution":{"observed_at":"2026-08-09T16:42:14.044097Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T16:42:14.017869Z","title":"Ardakov, S","venue":null,"work_id":"928dd0bc-5740-4fbd-ba0b-52d5720f843c","year":2013},"citing_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-09T16:42:13.483638Z"},"links":{"citing_paper":"/paper/2502.01119"},"observation_digest":"sha256:567f0df887cba7d131b2ccc72ef9f55cbd09927a7a3c5ef93b67e3ceccb69985","observation_id":"3b37d6ee-3b2b-45e7-83e2-2c7779c07669","resolution":{"observed_at":"2026-08-09T16:42:14.024446Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T16:42:14.000727Z","title":"Ardakov, S","venue":null,"work_id":"d547ea30-ceb5-4590-b111-2552ab56e02d","year":2019},"citing_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-09T16:42:13.490049Z"},"links":{"citing_paper":"/paper/2502.01119"},"observation_digest":"sha256:43291896cd919e439a82963f4952da3ffd857a87cb0b875df0bcb378addd275a","observation_id":"5a39b7c3-bc3c-46d6-b56b-52fba23c07d2","resolution":{"observed_at":"2026-08-09T16:42:14.005995Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T16:42:13.982295Z","title":"Ardakov, K.A","venue":null,"work_id":"3e5da212-b6a9-4d69-ad7d-588215b4a067","year":2007},"citing_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-09T16:42:13.495930Z"},"links":{"citing_paper":"/paper/2502.01119"},"observation_digest":"sha256:b39825ea3ffe15fd55a71d015b4bcbd7192a0131b1c5daca2eb6f51b8b6dc29d","observation_id":"c7b0dd9c-8fa5-4c29-ba8c-e3ec6f51b587","resolution":{"observed_at":"2026-08-09T16:42:13.988379Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2110.09398","last_updated":"2025-02-03T07:01:32Z","snapshot_observed_at":"2026-08-10T14:42:09.753962Z","submitted_at":"2021-10-18T15:28:45Z","title":"Six operations for D-cap-modules on rigid analytic spaces","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2110.09398","snapshot_observed_at":"2026-08-09T16:42:13.501487Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-09T16:42:13.501487Z"},"links":{"cited_paper":"/paper/2110.09398","citing_paper":"/paper/2502.01119"},"observation_digest":"sha256:9b0d1716769e1c9c7603c265dcb07164e443914fdf482a7daf65bda4de1f640e","observation_id":"a601aa7e-871d-444a-9969-bf80143bab50","resolution":{"observed_at":"2026-08-09T16:42:13.501487Z","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":"2026-08-09T16:42:13.956354Z","title":"Fujiwara, O","venue":null,"work_id":"38e2251c-b74c-4804-8fb0-e2c203785dba","year":2011},"citing_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-09T16:42:13.507799Z"},"links":{"citing_paper":"/paper/2502.01119"},"observation_digest":"sha256:d071a26f314170d0452c2e5a321ddc80aea59291240548c7cc267a34313772f2","observation_id":"a86b219b-fb3a-46a8-88af-cffca46ad0c8","resolution":{"observed_at":"2026-08-09T16:42:13.969249Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T16:42:13.933299Z","title":"Gabber, L","venue":null,"work_id":"6850eb07-bf83-4b60-a345-d3811e1abcbf","year":null},"citing_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-09T16:42:13.513170Z"},"links":{"citing_paper":"/paper/2502.01119"},"observation_digest":"sha256:bb34b506e58c09f1cdcbab1844f231e7d57b01d4196cc80621b0bf6c2d641c48","observation_id":"dee658e2-635f-4579-ad17-c4431770627c","resolution":{"observed_at":"2026-08-09T16:42:13.940506Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T16:42:13.915125Z","title":"Gabber, L","venue":null,"work_id":"5ee46715-5940-455c-8dfe-0718a9ea21f4","year":2003},"citing_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-09T16:42:13.520784Z"},"links":{"citing_paper":"/paper/2502.01119"},"observation_digest":"sha256:150df9ea4f99197076503b4790515cda5bfe5b9bd22d7cd9ce3b1ded5fcb32a0","observation_id":"e2afe1fb-bcef-4807-9553-940a5ee8ecdc","resolution":{"observed_at":"2026-08-09T16:42:13.920397Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T16:42:13.895483Z","title":"Greuel, G","venue":null,"work_id":"ac42d8e8-c8b3-4fba-a8e3-4ed95860a7b3","year":2008},"citing_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-09T16:42:13.526651Z"},"links":{"citing_paper":"/paper/2502.01119"},"observation_digest":"sha256:f64f8768c3490e7112a9641e0ee461c68c2c52fe338623fd9f6916c7812c89a7","observation_id":"c92a55a2-e068-47c0-ab48-2281f9648576","resolution":{"observed_at":"2026-08-09T16:42:13.902211Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T16:42:13.879122Z","title":null,"venue":null,"work_id":"9f6e0636-30b2-47a2-b0ab-1d56cc6d5328","year":1967},"citing_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-09T16:42:13.531712Z"},"links":{"citing_paper":"/paper/2502.01119"},"observation_digest":"sha256:df23fe2640c9c9e4647e0f3b98a0c11464130ea07795c95fc660746935224a8c","observation_id":"76f1baf4-c8f4-4436-a20e-0124ec84e91e","resolution":{"observed_at":"2026-08-09T16:42:13.884250Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T16:42:13.862787Z","title":null,"venue":null,"work_id":"722da9e0-59ab-479f-adf3-5962f841d206","year":2001},"citing_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-09T16:42:13.536496Z"},"links":{"citing_paper":"/paper/2502.01119"},"observation_digest":"sha256:ffba9d9f5724f755d70003ededdf1c7a9b1fb65eb0538d2a6b0368f77e23c6d8","observation_id":"93b6bcaa-e46d-4478-90de-09bcbb698916","resolution":{"observed_at":"2026-08-09T16:42:13.867956Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T16:42:13.842959Z","title":null,"venue":null,"work_id":"17519e48-4dec-4c11-83c7-f4417131aa51","year":1996},"citing_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-09T16:42:13.541979Z"},"links":{"citing_paper":"/paper/2502.01119"},"observation_digest":"sha256:259fc43763077f9dd2da1bb518ea5072c7f9b01b71623b808155006298dc5277","observation_id":"13b31a77-cced-4d3a-9ded-6181bed39155","resolution":{"observed_at":"2026-08-09T16:42:13.848953Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T16:42:13.827680Z","title":null,"venue":null,"work_id":"96ba3207-ae2f-46d1-a85a-d5ec0b48ba32","year":null},"citing_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-09T16:42:13.546561Z"},"links":{"citing_paper":"/paper/2502.01119"},"observation_digest":"sha256:89479490e979c8f8ad7bfe08e6912da66d085455b122f74e4c0babdf779d7237","observation_id":"73c73895-1651-4a20-b859-d6519a5e5f1e","resolution":{"observed_at":"2026-08-09T16:42:13.832586Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T16:42:13.793978Z","title":"Orlik, M","venue":null,"work_id":"ea1ef870-a632-4955-a9df-338947946e7c","year":2010},"citing_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-09T16:42:13.556451Z"},"links":{"citing_paper":"/paper/2502.01119"},"observation_digest":"sha256:825cd9755d3040802d0f01434ad2d9a3176b84ddf8dcd15776eee6e37190fe01","observation_id":"6414b87f-487b-48a7-a8d4-27f5f29e0d2a","resolution":{"observed_at":"2026-08-09T16:42:13.799300Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T16:42:13.776112Z","title":"Perez-Garcia, W.H","venue":null,"work_id":"47eac93b-b883-4b1c-b758-d876b8ab7a6e","year":2010},"citing_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-09T16:42:13.561831Z"},"links":{"citing_paper":"/paper/2502.01119"},"observation_digest":"sha256:6e0e8ccfdcb4bfd46e688ded1109ffaf26006790fa574b5dab2042b8caef784f","observation_id":"ad21722a-cf85-4edc-ae43-8792bda912ff","resolution":{"observed_at":"2026-08-09T16:42:13.782635Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T16:42:13.758724Z","title":"platiﬁcation","venue":null,"work_id":"fe34869c-6e03-431a-a13e-735e1aada124","year":1971},"citing_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-09T16:42:13.566923Z"},"links":{"citing_paper":"/paper/2502.01119"},"observation_digest":"sha256:359874a25b6e486298c399b3e4cb68c85eb3c6e8a1a568fb87a8621e58576003","observation_id":"a432d453-0c40-4f69-9e9f-ffe9e6f4c7fb","resolution":{"observed_at":"2026-08-09T16:42:13.763636Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T16:42:13.742464Z","title":null,"venue":null,"work_id":"52358f1e-84ec-4a80-bf12-8840e3f027cd","year":2008},"citing_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-09T16:42:13.573168Z"},"links":{"citing_paper":"/paper/2502.01119"},"observation_digest":"sha256:57a8d32fbec920c14258d4b11dd21bd0ae51918461b6ea8b488ef339e8a13948","observation_id":"1ca18611-eaf0-4a61-a9df-40ea712fa055","resolution":{"observed_at":"2026-08-09T16:42:13.747544Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T16:42:13.724545Z","title":null,"venue":null,"work_id":"0ec43db6-dd27-4bd0-bf1d-d5c29c773175","year":2013},"citing_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-09T16:42:13.579206Z"},"links":{"citing_paper":"/paper/2502.01119"},"observation_digest":"sha256:3db31feaee4f98f3a9e4a73ca27f1e0cb0081da1492243db6580f20e3c9bcca2","observation_id":"4a398991-9281-4372-8005-209ac3753b6f","resolution":{"observed_at":"2026-08-09T16:42:13.729643Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T16:42:13.707989Z","title":"Schneider, J","venue":null,"work_id":"be6f85f9-5a24-42fe-83d8-0cf3cb74acef","year":2003},"citing_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-09T16:42:13.585794Z"},"links":{"citing_paper":"/paper/2502.01119"},"observation_digest":"sha256:f72c82597e8b84b9d7a6399afd095e82edbadc6c89ee0fb5a4484a136567dc6d","observation_id":"b4452f5b-d42d-4e31-881a-65d070e11900","resolution":{"observed_at":"2026-08-09T16:42:13.712855Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T16:42:13.690460Z","title":"Stacks project","venue":null,"work_id":"83ffac2f-30dc-49f8-bead-8da48ea707de","year":2024},"citing_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-09T16:42:13.591259Z"},"links":{"citing_paper":"/paper/2502.01119"},"observation_digest":"sha256:dd1db8158ff3afe70358f3d87b173ebd3617dc279a7f34d7d0da3d18d3564de1","observation_id":"d27fcf24-c319-403f-9c37-35668a58f539","resolution":{"observed_at":"2026-08-09T16:42:13.695823Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T16:42:13.673785Z","title":"An introduction to homological algebra","venue":null,"work_id":"ea701f14-f06a-44ee-8dab-9266b2d7ccb4","year":null},"citing_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-09T16:42:13.596207Z"},"links":{"citing_paper":"/paper/2502.01119"},"observation_digest":"sha256:077c8de11f9cdc02fde38784f8129da378ba014d5924ccf6be79f1172c36da98","observation_id":"328f9ab5-bf03-466b-a737-cdc5691a732e","resolution":{"observed_at":"2026-08-09T16:42:13.679241Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T16:42:13.656052Z","title":"Zavyalov","venue":null,"work_id":"33dce196-4e08-45e2-b861-f7cdcb93f7c9","year":null},"citing_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-09T16:42:13.602705Z"},"links":{"citing_paper":"/paper/2502.01119"},"observation_digest":"sha256:9ae369300e80a7b210e5c6ffdf885eca24559ec82c8dc20de947bbf1ade8164a","observation_id":"bf7a7490-073a-406a-9b17-cccd540a9672","resolution":{"observed_at":"2026-08-09T16:42:13.662460Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T16:42:13.810655Z","title":null,"venue":null,"work_id":"d3e99787-a099-469a-93e6-cd45c1f2cc33","year":null},"citing_paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics","version":1},"reference_index":2001,"source":"pdf_text","source_observed_at":"2026-08-09T16:42:13.551313Z"},"links":{"citing_paper":"/paper/2502.01119"},"observation_digest":"sha256:253b5ca7a1127fcc9aa0a053446f554d19f8c30ebf93ef0d6da159acd9e7b8ab","observation_id":"0db90762-0f15-49c2-a012-ce9ecb718b81","resolution":{"observed_at":"2026-08-09T16:42:13.817054Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.01119","last_updated":"2025-02-03T07:20:32Z","latest_version":1,"primary_category":"math.RT","snapshot_observed_at":"2026-08-09T19:18:08.178570Z","submitted_at":"2025-02-03T07:20:32Z","title":"Auslander regularity of $p$-adic Banach algebras via almost mathematics"},"reference_resolution":{"displayed":24,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":0,"verified_fuzzy":15},"total_outbound_references":24},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 2 inbound Pith citation observations for arXiv:2502.01119."}