{"as_of":"2026-08-16T16:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e59a85d1ec463fd0833eca10fc1a199ad27fd30f2fe9167a22aad5c7a8bf7e2d","coverage":[{"denominator":63,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":63,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T14:42:52.876544Z","state":"measured"},{"denominator":63,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":63,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/1908.02652/citation-record","integrity":"/paper/1908.02652/integrity","json":"/paper/1908.02652/citation-record.json","paper":"/paper/1908.02652"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:42:53.573171Z","title":"Alperin, Local Representation Theory, Cambridge Studies in Advanced mathematics 11, Cambridge University Press (1986)","venue":null,"work_id":"cebf3948-6ac0-4478-bd83-521d66ffe0ac","year":1986},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.670826Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:5e0e9efcb8245cfb1da8444748ec5a4d81f6d0f1cbde124889b9b8b595436a8b","observation_id":"5f90beca-8120-44c6-a726-44b9bd2d174c","resolution":{"observed_at":"2026-08-14T14:42:53.576401Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1911.10710","last_updated":"2019-11-25T05:54:45Z","snapshot_observed_at":"2026-07-06T08:39:37.790998Z","submitted_at":"2019-11-25T05:54:45Z","title":"Cartan matrices and Brauer's k(B)-Conjecture V","version":1},"cited_work":{"arxiv_id":"1911.10710","doi":null,"metadata_source":"pith","pith_arxiv_id":"1911.10710","snapshot_observed_at":"2026-08-14T14:42:52.955378Z","title":"Cartan matrices and Brauer's k(B)-Conjecture V","venue":"math.RT","work_id":"18ce71b1-2f28-425c-a3d5-f0a0ad8f3c4b","year":2019},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.675178Z"},"links":{"cited_paper":"/paper/1911.10710","citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:34dde48dd05c123a54d79005fd5157f3b7f0f313d738ed065e707b1a0142b124","observation_id":"4084a4ab-aa27-45eb-b7a1-2f662234955f","resolution":{"observed_at":"2026-08-14T14:42:52.959379Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.563885Z","title":"Aschbacher, Finite Group Theory , Cambridge Studies in Advanced Mathematics 10, Cambridge University Press (2000)","venue":null,"work_id":"2fdc380a-3991-40a2-a37d-51db69232bca","year":2000},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.679215Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:16581f9ca23b644aefc108004bc0e304c7f0b44a7361a624c4fd163ddc286e22","observation_id":"1137de59-fc2e-4a0d-ade5-6adbdd6c425f","resolution":{"observed_at":"2026-08-14T14:42:53.567174Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.553853Z","title":"Bidwell, Automorphisms of direct products of ﬁnite groups II , Archiv der Mathematik 91 (2008)","venue":null,"work_id":"8b8956ab-8c2d-4b0b-a7c7-0a7010b48d73","year":2008},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.683014Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:1ec057f03798c373865f5b2bf12500bd18a739de44ace7d0bb9db6e5da6fa0fb","observation_id":"6b5f5f39-882c-4e2b-a233-95fd0f96ac1a","resolution":{"observed_at":"2026-08-14T14:42:53.557265Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.544601Z","title":"Boltje, R","venue":null,"work_id":"6c8765cc-6bfe-4a5d-952f-65dbd55a4afa","year":2020},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.686525Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:0a2c0b304828aa2eb45d2d916584863a095e1686369358ea18dc267ca2762885","observation_id":"7bac867f-6ae8-4867-8226-4779db6e1ae6","resolution":{"observed_at":"2026-08-14T14:42:53.547743Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.535343Z","title":"Bosma, J","venue":null,"work_id":"2588e2ce-0c7f-4bda-9d38-50944fbcbb76","year":2010},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.689949Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:d7c31d9d54d42bcd4835749e498cb33618ad6d9ff14412d58dd1533ef1cc6022","observation_id":"f44acb59-d98f-402e-ac20-18b196a1a2f9","resolution":{"observed_at":"2026-08-14T14:42:53.538612Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.525249Z","title":"Brou´ e and L","venue":null,"work_id":"02c70a67-f1b6-46c2-98e6-24f200648337","year":1980},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.693759Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:9533d88ad0180b9e978f73882c25f3d4dd7dec4a9571e01dd64ebe07fbb366d0","observation_id":"2321e95c-428e-49ca-93cd-f35af06b9ee4","resolution":{"observed_at":"2026-08-14T14:42:53.528695Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.515523Z","title":"Conway, R.T","venue":null,"work_id":"26ee3e51-1747-4e06-b736-02cce639bcf8","year":1985},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.697097Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:3c2cc4128be0fb6a65468834c151b097b4c5afa41456fdee0357bc8e77cdbc31","observation_id":"076abddf-8d3b-4613-9862-b0fcd304656a","resolution":{"observed_at":"2026-08-14T14:42:53.519052Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.505345Z","title":"Craven, C","venue":null,"work_id":"3144b563-d2bd-4d0b-9d0c-bc5be4db6890","year":2011},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.700573Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:adfc438e47c0485e422f776da6c95d625c8a864660ef71943fa969c264e9b149","observation_id":"f60b2b31-3ac4-4765-bf5e-96aad410532a","resolution":{"observed_at":"2026-08-14T14:42:53.508842Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.495723Z","title":"Craven, R","venue":null,"work_id":"0f95bc3a-4640-4cdc-9363-34a6ffbe9024","year":2013},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.703894Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:7e42c374f874c51e38f66c3452e44689a04230bec62f56c164617f6ce0960e6d","observation_id":"f2197bcd-c09f-48de-9dc4-b3512eda5ba0","resolution":{"observed_at":"2026-08-14T14:42:53.499105Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.486098Z","title":"Curtis, I","venue":null,"work_id":"7748f4a4-0b33-4c92-a0f0-eed9f7d0e507","year":1981},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.707011Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:60f7ac2fdedf646322a43dcdc327228e6afdcee4877118ac1584d247184a510b","observation_id":"f1f5f146-fc35-431d-b97a-520a2b69d7ac","resolution":{"observed_at":"2026-08-14T14:42:53.489478Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.476045Z","title":"Dade, Deux groupes ﬁnis distincts ayant la mˆ eme alg` ebre de group e sur tout corps , Mathematische Zeitschrift 119 (1971), 345-348","venue":null,"work_id":"4288a777-8b4e-4fc6-bf16-ccf6cc44992e","year":1971},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.710575Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:0db6ac584b0d112f5681e98d519e6c5a18284388ba769e6863fd03f376516cc8","observation_id":"b54c9047-79d9-4875-87bd-c1f7bcc7083c","resolution":{"observed_at":"2026-08-14T14:42:53.479594Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.466303Z","title":"Dade, Endo-permutation modules over p-groups, I, II , Annals of Mathematics 107 (1978), 459-494, 108 (1978), 317-346","venue":null,"work_id":"4a420ada-dab9-4b8e-aad5-82e687847847","year":1978},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.713737Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:73cd28b9eb66586de7b0672e6a4a683d884dece77f37e525ac93ddc59942208f","observation_id":"404a6681-e4cd-4e33-af08-d56def4f0071","resolution":{"observed_at":"2026-08-14T14:42:53.469835Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.456505Z","title":"D¨ uvel,On Donovan ’s conjecture, Journal of Algebra 272-1 (2004), 1-26","venue":null,"work_id":"ae7158a3-143f-4d98-8179-c4a624585ef5","year":2004},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.716902Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:3908f5327f999543b1bd8ec65277bf748f2472f95ad5dec662455f9683eed20e","observation_id":"91714e07-fbd9-4bbd-a5b2-88c9abd327da","resolution":{"observed_at":"2026-08-14T14:42:53.460188Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.447046Z","title":"Eaton, R","venue":null,"work_id":"a164214e-285f-460f-bd77-2d2d6757f0f7","year":2014},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.719983Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:9ff9295b0953ae5a0a323cc6262fd6a42547d4f2269fb2c7b1dc7d053c4e4b34","observation_id":"40f101ca-fc9c-4162-bb01-e3b144b95c7f","resolution":{"observed_at":"2026-08-14T14:42:53.450328Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.436882Z","title":"Eaton, Morita equivalence classes of 2-blocks of defect three , Proceedings of the American Mathematical Society 144-5 (2016), 1961-1970","venue":null,"work_id":"e05c09d5-0b9a-4794-ac5b-5e4c93701685","year":2016},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.723219Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:fdfe43df87b4c60525b39a31d1b664e754953730b993b05ea663fd37d65eb9f0","observation_id":"4a965f38-2d4d-42d5-99e3-4af00adf823d","resolution":{"observed_at":"2026-08-14T14:42:53.440486Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1612.03485","last_updated":"2019-05-15T10:25:23Z","snapshot_observed_at":"2026-08-14T21:26:05.268819Z","submitted_at":"2016-12-11T21:57:13Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 16","version":4},"cited_work":{"arxiv_id":"1612.03485","doi":null,"metadata_source":"pith","pith_arxiv_id":"1612.03485","snapshot_observed_at":"2026-08-14T14:42:52.940707Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 16","venue":"math.GR","work_id":"d9224765-be9a-4f60-9d7c-da35b080490b","year":2016},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.726513Z"},"links":{"cited_paper":"/paper/1612.03485","citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:9f5ccd8f59edaacb7ef2b6961672bb9f9cd1d046e6af02e5e77e63055576c879","observation_id":"a5fc6138-520d-4286-9f06-3a391635ac1a","resolution":{"observed_at":"2026-08-14T14:42:52.944847Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.426904Z","title":"Eaton, M","venue":null,"work_id":"1546a9c8-2776-408c-9309-0d2e628c09ea","year":2020},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.729969Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:a9d2cbd059daa7cc88fa52682127becaf9523638413b525290ef111f5ca86ed2","observation_id":"07a287af-fc35-4291-88a4-3f6952cca5de","resolution":{"observed_at":"2026-08-14T14:42:53.430514Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.416822Z","title":"Eaton, M","venue":null,"work_id":"ef7771b3-019f-49e6-a040-89a837bb4e2a","year":2019},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.733068Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:8552f702f48cc05ab6c3222930c06ce66240adc9745856e8a17b9b00d800c158","observation_id":"341a0c8b-7d95-45f3-b352-b68f7f4f39bd","resolution":{"observed_at":"2026-08-14T14:42:53.420363Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.407225Z","title":"Eaton, F","venue":null,"work_id":"e977ddc1-98a3-407c-b4bf-bd66fb35588d","year":2020},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.736512Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:87c6dac2f6bf7c5c27451ed69a53fed33a98c57787f0d464a28495c2342ebc8b","observation_id":"f12f0cae-1162-47a1-a6e6-84ec22802e8a","resolution":{"observed_at":"2026-08-14T14:42:53.410642Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.397664Z","title":"Eaton et al., Block library, https://wiki.manchester.ac.uk/blocks/ (2019)","venue":null,"work_id":"f1317c7a-c1f5-4768-9ae4-9b632b64dc48","year":2019},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.739963Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:6d783741b85c114d8cdfa45d1f7fa09c5c334b94814b9502e041dd05363dc043","observation_id":"512359be-edd5-455c-9ac6-be0634c4dbb7","resolution":{"observed_at":"2026-08-14T14:42:53.401037Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1908.00129","last_updated":"2019-08-07T16:46:17Z","snapshot_observed_at":"2026-08-14T15:59:09.203493Z","submitted_at":"2019-07-31T22:42:28Z","title":"On the geometry of lattices and finiteness of Picard groups","version":3},"cited_work":{"arxiv_id":"1908.00129","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.00129","snapshot_observed_at":"2026-08-14T14:42:52.925112Z","title":"On the geometry of lattices and finiteness of Picard groups","venue":"math.RT","work_id":"9e142caa-2c07-45e3-bab2-1e9cd7fd94da","year":2019},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.743189Z"},"links":{"cited_paper":"/paper/1908.00129","citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:cd6d9217a330b2ddf18e0548e3f5e12f5f9bfa56d334a32ebbf6e7993ea0ed4d","observation_id":"2eca9f26-e80d-4513-82aa-27fe522d719f","resolution":{"observed_at":"2026-08-14T14:42:52.929120Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.387931Z","title":"Eisele, The Picard group of an order and K¨ ulshammer reduction , Algebras and Repre- sentation Theory (2020)","venue":null,"work_id":"f84b1848-42b5-4020-83fd-1cb079069e58","year":2020},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.746720Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:fcfcc1d21eb51de0057894e3ccc56f3fb99027cf77e422933b44182e580715ce","observation_id":"fc9b5427-b1ae-4714-ad8c-81c6a7426c3d","resolution":{"observed_at":"2026-08-14T14:42:53.391459Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.378245Z","title":"Erdmann, Blocks whose defect groups are Klein four groups: a correcti on, Journal of Algebra 76 (1982), 505-518","venue":null,"work_id":"fc71be13-4b71-4210-b458-6bbfaad6829f","year":1982},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.749858Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:557e552fc4d1653ddb9e9602d617687d7a1b427de58359adbadfb39dacfb7304","observation_id":"c1e4ba5e-92bc-4154-aa19-05776547d7db","resolution":{"observed_at":"2026-08-14T14:42:53.381692Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.368343Z","title":"Feit, The Representation Theory of Finite Groups , Elsevier (1982)","venue":null,"work_id":"d9c5011e-503d-4705-86a6-e725344d8a22","year":1982},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.752870Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:67679d80df527952f0c57dc6e9e9f8cbdc49e3c75e10914cded867b27f133617","observation_id":"780a2147-6174-4dcd-bae4-b0d00beeaab4","resolution":{"observed_at":"2026-08-14T14:42:53.371752Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.358905Z","title":null,"venue":null,"work_id":"0787a978-81dd-4357-8f06-b9d11be9b6d3","year":2020},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.756007Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:2045da9fa8a79e0893f2e13cadf77186d551190b7aeef91eb5e0574c037b8bf1","observation_id":"d7174a2b-130f-4c96-8382-e3aaabd3881a","resolution":{"observed_at":"2026-08-14T14:42:53.362305Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.349170Z","title":null,"venue":null,"work_id":"ceb64fbc-a1db-4fee-8836-6370cf55942c","year":2007},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.759030Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:782e4f6f4b0462d84c32218fef6e79d64f8ad652583766019e7e1d57496f11dc","observation_id":"7bfa94bd-b42c-4854-b961-de9c757e6b0c","resolution":{"observed_at":"2026-08-14T14:42:53.352702Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.339433Z","title":"Gorenstein, Finite Groups , AMS Chelsea Publishing Series, American Mathematical Society (2007)","venue":null,"work_id":"6aac3d91-3591-45a4-babe-cc045d8ad530","year":2007},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.762491Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:e77e25f3531cb7ba2f7fb5d1d378e2dc36e715797a2d1c69d5e0e0fc8dbb642c","observation_id":"f8e4c4d5-ba1f-4a8e-96ef-b4120b5f8a3e","resolution":{"observed_at":"2026-08-14T14:42:53.342894Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.328863Z","title":"Isaacs, Character Theory of Finite Groups , Dover Books on Mathematics","venue":null,"work_id":"4f74dbd6-60a4-4365-ad4a-7cec2f064077","year":2013},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.765403Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:e86ae7851704f71fc0decac527554a240278cb1364e859fca4df6d46f83fa92a","observation_id":"0cf1d281-b111-4499-8462-64b669ed6122","resolution":{"observed_at":"2026-08-14T14:42:53.332461Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.317483Z","title":"Karpilovsky, Group Representations Vol.2, §1: Second cohomology groups , North- Holland Mathematics Studies 177 (1993), 3-64","venue":null,"work_id":"35a76ee3-6176-487d-8e61-46a26b4050d4","year":1993},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.768643Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:f659a237b9b86fa01cffdc3f3efcb13c0ed7d232560d9e89833bb5ac46e8d643","observation_id":"cb8d733f-8e98-4c26-91e1-5c1f2fcf1cb5","resolution":{"observed_at":"2026-08-14T14:42:53.321409Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.306736Z","title":"Kessar, S","venue":null,"work_id":"36ab68ce-bad0-424a-a07a-4beab994ff08","year":2012},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.772020Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:20889e79a42978c3d1597fe7c5d67b3de770d17c9634ab0bf337cccc4ad04cc0","observation_id":"4970cfd9-ef3e-406a-96ca-d261b2f0e73d","resolution":{"observed_at":"2026-08-14T14:42:53.310601Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.295692Z","title":"Kessar and G","venue":null,"work_id":"a5695443-d768-4fa5-b529-2489167893e5","year":2013},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.775218Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:e28d42abf17c65b279334766163c949d244893133e9ac0af3f4f69f45ae8e9a0","observation_id":"d16caf03-ef91-4586-abc3-e3908b16f49d","resolution":{"observed_at":"2026-08-14T14:42:53.299307Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.284777Z","title":"Koshitani and B","venue":null,"work_id":"1ab175a2-2633-44a8-983b-6a9e521de836","year":1996},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.778505Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:0d2fdcd83f828c895a037d6a96f80a66c935e517fffa522f9b249e8110a95183","observation_id":"63573159-0ff2-4de1-af27-4194c33eea04","resolution":{"observed_at":"2026-08-14T14:42:53.288415Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.274899Z","title":"Koshitani, J","venue":null,"work_id":"ba49a8b1-7969-4409-8946-0195da1966a0","year":2011},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.781529Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:ab750b257e184647c2844aa5c7a1071e727f0a207477fe5e8f1a733b85277b7f","observation_id":"8ca0333c-9043-494f-a0de-d5828a8cd65c","resolution":{"observed_at":"2026-08-14T14:42:53.278275Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.264398Z","title":"K¨ ulshammer, Crossed products and blocks with normal defect groups , Communications in Algebra 13 (1985), 147-168","venue":null,"work_id":"c40c2bd1-eb8f-48ad-b65e-90209235120f","year":1985},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.784659Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:9287d69f340402ca9954f62169865bc218c0394fb71c5958966df69894698382","observation_id":"0f6d84ce-9a9d-42c5-aa20-4fb8405bce58","resolution":{"observed_at":"2026-08-14T14:42:53.268291Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.252944Z","title":"K¨ ulshammer,Donovan ’s conjecture, crossed products and algebraic group actions , Israel Journal of Mathematics, 92-1 (1995), 295-306","venue":null,"work_id":"1647b63f-a0df-4fef-8970-fdb64fe283d9","year":1995},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.788113Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:384406b8df8f1168d118f93dae42e71015a34d1b2f453601bbe5fe6eb327f4aa","observation_id":"f590cab3-6414-4caa-9bdc-a2782e2847e0","resolution":{"observed_at":"2026-08-14T14:42:53.257004Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.241869Z","title":"K¨ ulshammer and L","venue":null,"work_id":"41100c2e-52f7-4f30-b37a-788094603113","year":1990},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.791430Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:dfd7d259269826a6450c99b2135964d2054866d706fcd8f4e1ff8505d30a9639","observation_id":"618f13bf-0c82-4f29-b69a-54754d802fe6","resolution":{"observed_at":"2026-08-14T14:42:53.245879Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.230416Z","title":"K¨ ulshammer and B","venue":null,"work_id":"60fc6fd1-fca1-43e6-bd05-881c18704897","year":2013},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.794698Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:2a9deb95eb3b4ead3ea9165c0162dd0725026c9c1bba30e29912a4af7acde790","observation_id":"52490f60-8058-4002-89fd-476cac8834db","resolution":{"observed_at":"2026-08-14T14:42:53.234214Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.219693Z","title":"Linckelmann, The source algebras of blocks with a Klein four defect group , Journal of Algebra 167 (1994), 821-854","venue":null,"work_id":"c58a6254-5d6c-46d9-ad31-36c1105eb88c","year":1994},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.797937Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:0e52839b8d184d2693014ffcc87e9cebf241a99c04bbbd8a23447c53c4db6fd7","observation_id":"29a48858-ba81-408a-9112-3bf129b1db24","resolution":{"observed_at":"2026-08-14T14:42:53.223763Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.208903Z","title":"Linckelmann, The block theory of ﬁnite group algebras, Volume 1 and 2 , London Math- ematical Society Student Texts 91-92, Cambridge University Press (2018)","venue":null,"work_id":"04ca7663-cdd9-4621-81b1-e6ed6e4b3b77","year":2018},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.801367Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:bb036743665eb8aa1f9a176362b7b562dff257c62a7bfd14755739595746ca94","observation_id":"19f69ed7-c551-4ec1-9964-c1251ac72fdd","resolution":{"observed_at":"2026-08-14T14:42:53.212510Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.198821Z","title":"Linckelmann, On automorphisms and focal subgroups of blocks , PIMS Summer School and Workshop, Springer, Cham (2016)","venue":null,"work_id":"421ef8bb-49b6-4269-bf87-539ee6c9eadb","year":2016},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.804527Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:b4be28b907d2c9035394d83f9c4c2035cae4a5cb419d96c0f6d4e8e80b516eda","observation_id":"7fa4f196-8583-451d-8b38-77d4baaa766a","resolution":{"observed_at":"2026-08-14T14:42:53.202386Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1907.12167","last_updated":"2020-02-03T12:10:40Z","snapshot_observed_at":"2026-08-14T16:01:23.794902Z","submitted_at":"2019-07-29T01:01:14Z","title":"On Picard groups of blocks with normal defect groups","version":3},"cited_work":{"arxiv_id":"1907.12167","doi":null,"metadata_source":"pith","pith_arxiv_id":"1907.12167","snapshot_observed_at":"2026-08-14T14:42:52.907522Z","title":"On Picard groups of blocks with normal defect groups","venue":"math.RT","work_id":"24f8295b-5f62-41e6-aa55-09bf8f044545","year":2019},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.807457Z"},"links":{"cited_paper":"/paper/1907.12167","citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:231c9317e391149462aa1d0e7384a2a37c66adec5a6c8e4de2df42e7eaa2d143","observation_id":"05c64128-8d56-423a-9923-e5831ad01ab1","resolution":{"observed_at":"2026-08-14T14:42:52.913449Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.188693Z","title":"McKernon, 2-Blocks whose defect group is homocyclic and whose inertia l quotient con- tains a Singer cycle , Journal of Algebra 563 (2020), 30-48","venue":null,"work_id":"a1d3e64f-e38a-4f26-98fa-07d073519616","year":2020},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.811061Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:c007a7f0bf08aabf7d42288dcf51a6522e94beb12eee4c98c2fd81461d48552d","observation_id":"6d1d216a-b991-464f-a44f-3e1c24c71aee","resolution":{"observed_at":"2026-08-14T14:42:53.192218Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.179098Z","title":"Murai, On blocks of normal subgroups of ﬁnite groups , Osaka Journal of Mathematics 50 (2013), 1007-1020","venue":null,"work_id":"755daedd-2264-46d4-8658-67aad23e2aff","year":2013},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.814605Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:f07cc539801da0d0010c419303a97c1b012379300079b90f17872d774eba15e5","observation_id":"b2a8c37f-0cf8-4ed6-931e-96a23e28fc88","resolution":{"observed_at":"2026-08-14T14:42:53.182650Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.169034Z","title":"Navarro, Characters and blocks of ﬁnite groups , London Mathematical Society Lecture Note Series 250, Cambridge University Press (1998)","venue":null,"work_id":"88065d4d-3b78-45fd-8f60-b9aa26a2d1e7","year":1998},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.817972Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:ba2223fa98598de2781d3b1dbb9f740d5210606cf35b1a82cc68d57ff208238e","observation_id":"d0f8386f-04ca-4e92-b763-93495a51e788","resolution":{"observed_at":"2026-08-14T14:42:53.172688Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.158397Z","title":"Okuyama, Some examples of derived equivalent blocks of ﬁnite groups , preprint (1997)","venue":null,"work_id":"2de82926-985a-45ed-be46-4512405fc43a","year":1997},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.821092Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:eadcec87d895ccfce67b42d88c834bd7c1290273d55ad1d3547201363b0a4ec0","observation_id":"bc2bcdb3-1fc3-4d3b-9135-aafe6e6e200f","resolution":{"observed_at":"2026-08-14T14:42:53.162178Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.147160Z","title":"Puig, Nilpotent blocks and their source algebras , Inventiones Mathematicae 93 (1988), 77-116","venue":null,"work_id":"26af6fba-89de-4ced-be98-2126bc605573","year":1988},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.824312Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:6905b4f065d84d93e7d85453e0d9c5bc29e3235cc1f8ec1687f8a2c26797a050","observation_id":"91b10dc6-722d-45c2-888d-61ed5f3d0f52","resolution":{"observed_at":"2026-08-14T14:42:53.150986Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.137296Z","title":"Puig, Pointed groups and construction of modules , Journal of Algebra 116 (1988), 7-129","venue":null,"work_id":"761feb65-bda4-40f7-a91d-b514cff8413a","year":1988},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.827590Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:d52497272758baad1be34daa62c99476029cfa104a02760a5e64fda019bf2350","observation_id":"9cd517a1-27b2-4c63-ac8f-47b959412a10","resolution":{"observed_at":"2026-08-14T14:42:53.140755Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.127640Z","title":"Puig and Y","venue":null,"work_id":"aee037bc-b8c4-462f-956a-a2aca6953692","year":1993},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.830681Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:8bf9b4d0831cd0b487f8ecbbbc728f602d38c665c9ad85f065bdc9700132797b","observation_id":"bd2ea0ef-ed0b-4d44-9764-c0185c885391","resolution":{"observed_at":"2026-08-14T14:42:53.130947Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.116531Z","title":"Puig, Source Algebras of p-Central Group Extensions , Journal of Algebra 235 (2001), 359-398","venue":null,"work_id":"2dac9bec-16f9-4c87-a4c5-2f133fe84611","year":2001},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.833847Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:89b958aabe24e876424c81ce4a6d583bcde84402448224fcff9813184d4294a0","observation_id":"9ee3dce7-9018-4c87-a3dc-8fcd7b44d26f","resolution":{"observed_at":"2026-08-14T14:42:53.120509Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.105734Z","title":"Puig, Nilpotent extensions of blocks , Mathematische Zeitschrift 269 (2011), 115-136","venue":null,"work_id":"0c63de95-a185-4cef-aa31-f59e68a047d3","year":2011},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.836996Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:3477d1af8f10a8e3d2260a3caba0b79f6ecdc96d4de60ed74e0ee26e070f7902","observation_id":"e49646e4-fed6-47d8-b05c-30a5ac978375","resolution":{"observed_at":"2026-08-14T14:42:53.109493Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.094570Z","title":"Rickard, Splendid equivalences: derived categories and permutatio n modules, Proceedings of the London Mathematical Society 72 (1996), 331-358","venue":null,"work_id":"9feca90d-4be0-47a4-86c3-d7c3c7068e46","year":1996},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.840476Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:81d64b3beb9d6fcc27652985a8920b5fdce0c20b261945b6766d63f0f56ba574","observation_id":"24f72747-8a30-4104-896b-9c30aa6ae422","resolution":{"observed_at":"2026-08-14T14:42:53.098709Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.084210Z","title":"Robinson, On Brauer’s k(B) problem , Journal of Algebra 147-2 (1992), 450-455","venue":null,"work_id":"7f190097-337a-4510-9ddc-62e083c7a57f","year":1992},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.843673Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:d8b1d9316dfe4c74b175312a51523d4753de08a21ec4a53ea15be965de7f3abb","observation_id":"92334b0b-a043-4e49-8042-48cba2f206c1","resolution":{"observed_at":"2026-08-14T14:42:53.088188Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.074109Z","title":"Sambale, Blocks of Finite Groups and Their Invariants , Vol","venue":null,"work_id":"29162073-8941-456f-9845-b7679e6e7705","year":2014},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.846738Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:1c7e47095aa4da01435342ef4ae66a212eea63038d0aba1f39f663a20303e134","observation_id":"d4616092-806f-487b-b2ef-7a55a2e86cc1","resolution":{"observed_at":"2026-08-14T14:42:53.077838Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.063139Z","title":"Sambale, Cartan matrices and Brauer’s k(B)-conjecture IV, Journal of the Mathemat- ical Society of Japan, 69-2 (2017), 735-754","venue":null,"work_id":"27c0c421-bc49-44bb-b8bc-3ef0c7aa3b7f","year":2017},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.849868Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:8b4e0271dcf5445d90e61ac9f45b965ce41a9796fd53ec4cb18319ca0c721b48","observation_id":"553f056e-3530-48bc-a00a-5b0e42cda7aa","resolution":{"observed_at":"2026-08-14T14:42:53.066979Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.052844Z","title":"Sambale, Remarks on Harada’s conjecture, Israel Journal of Mathematics, 228-2 (2018), 513-526","venue":null,"work_id":"d17b7827-2334-48a0-8a66-0e5cfa98cf74","year":2018},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.853009Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:5d3352a0c9ca10e5efc97fc1244501550b3e909a4021021bec11c4803bcab0d9","observation_id":"4c9259bf-7b44-42bf-a52c-4a6284cb0b8d","resolution":{"observed_at":"2026-08-14T14:42:53.056425Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.040541Z","title":"Th´ evenaz, G-algebras and modular representation theory , Oxford University Press (1995)","venue":null,"work_id":"7a870fe7-27c2-44bf-ab3b-c29e1184fb20","year":1995},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.856144Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:f865e46ae6ceadbf655477a8b4b74bdd2b27951f67a0a083767bbc4b96ba2503","observation_id":"638225fd-3292-49ca-8508-b5f93cf3b4c9","resolution":{"observed_at":"2026-08-14T14:42:53.045209Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.027492Z","title":"Usami, Perfect isometrics and isotypies for blocks with abelian de fect groups and inertial quotients isomorphic to Z3 × Z3, Journal of Algebra 182 (1996), 140-164","venue":null,"work_id":"bd50cba0-e986-440a-9e84-25565d912372","year":1996},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.859291Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:fd06e6eb59c97100ad9339b4d4fcbcfc2c5392eb378df099b4fdf3a5e4816084","observation_id":"3c2cf9b7-3b8e-417b-a0a5-6a47406ada4b","resolution":{"observed_at":"2026-08-14T14:42:53.031539Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.015480Z","title":"Ward, On Ree’s series of simple groups , Transactions of the American Mathematical Society, 121-1 (1966), 62-89","venue":null,"work_id":"0cfe15ac-8cb6-401d-8560-77ae99980d47","year":1966},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.862725Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:31a10055f58434232bf3db0bbd1c078658fa5931ea0f6d4b2592e2fea0df5293","observation_id":"b865ceb6-4484-405b-929e-b5edbea821dc","resolution":{"observed_at":"2026-08-14T14:42:53.019529Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:53.003153Z","title":"Watanabe, Notes on p-blocks of characters of ﬁnite groups , Journal of Algebra 136 (1991), 109-116","venue":null,"work_id":"4ec7ef8b-1a1d-477b-92e7-0ae34d0b9a21","year":1991},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.866205Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:ed01f09f19213e2c2aee733a8358cb61a35643138ba08eeb086ec8d18d8bb75a","observation_id":"b8628e51-248b-4221-aefb-f9ac54c05335","resolution":{"observed_at":"2026-08-14T14:42:53.007591Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:52.992316Z","title":null,"venue":null,"work_id":"251cac62-6eb3-457c-8362-af266107908b","year":2000},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.870058Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:946862c46c509965ada6d774a65c1a000788282103acebb56e3d4588c978573a","observation_id":"2238804a-b514-4d75-8660-2f1c6bd90647","resolution":{"observed_at":"2026-08-14T14:42:52.995917Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:52.978713Z","title":"Watanabe, On perfect isometries for blocks with abelian defect groups and cyclic hyper- focal subgroups, Kumamoto Journal of Mathematics 18 (2005), 85-92","venue":null,"work_id":"d1cdbe30-3075-4ce2-ac28-80f0ac0dbb35","year":2005},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.873265Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:46650e90fd730f17ff1b8081887ae4a993812676dbde5d6c8303083755bc134e","observation_id":"22fa7891-c7cd-48a4-b6c8-2640549b5efd","resolution":{"observed_at":"2026-08-14T14:42:52.983266Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:42:52.967043Z","title":"Zhou, On the p′–extensions of inertial blocks , Proceedings of the American Mathematical Society 144 (2016), 41-54","venue":null,"work_id":"ca1ff547-b4a8-49e8-8b9c-fb5536656c57","year":2016},"citing_paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32","version":4},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-14T14:42:52.876544Z"},"links":{"citing_paper":"/paper/1908.02652"},"observation_digest":"sha256:b4bf3f51a74ee55bfb10634dab2879a96ca94151c3704016cb48fccd306ce413","observation_id":"e0711951-c257-4876-8ce3-6649de596f0d","resolution":{"observed_at":"2026-08-14T14:42:52.970992Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.02652","last_updated":"2020-11-12T12:41:41Z","latest_version":4,"primary_category":"math.RT","snapshot_observed_at":"2026-08-14T14:36:16.594409Z","submitted_at":"2019-08-07T14:17:09Z","title":"Morita equivalence classes of blocks with elementary abelian defect groups of order 32"},"reference_resolution":{"displayed":63,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":4,"verified_fuzzy":56},"total_outbound_references":63},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 0 inbound Pith citation observations for arXiv:1908.02652."}