{"as_of":"2026-08-22T02:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:82951aaa6c7e5ac731284806e67efa2292d2089df6d36335b990db1af097b7b7","coverage":[{"denominator":39,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":39,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-03T04:27:01.680743Z","state":"measured"},{"denominator":39,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":39,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+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/2607.01706/citation-record","integrity":"/paper/2607.01706/integrity","json":"/paper/2607.01706/citation-record.json","paper":"/paper/2607.01706"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-05T14:31:10.936846Z","title":null,"venue":null,"work_id":"9fea81e8-56a1-41d9-9a74-ac935bf2f22e","year":1985},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:b27751c3660543642b6219df2b083596ba3350f6715502fc3b5e93d9d4242056","observation_id":"4fd1b249-5767-4fe6-8c97-875d487f2b9e","resolution":{"observed_at":"2026-07-05T14:31:10.938835Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.862098Z","title":"Carter, Finite Groups of Lie type: Conjugacy Classes and Complex Characters , Wiley, Chichester, 1985","venue":null,"work_id":"73a510f0-7fbc-49fd-bc83-4640b9b307b1","year":1985},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:82732764a03e3fe0f48deaca720dca203b021af3edd1e74418b60c014a30beed","observation_id":"f3b0e7a9-9ecc-4b8c-a05f-d4bb335c7f67","resolution":{"observed_at":"2026-07-05T14:31:10.864941Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.928965Z","title":"Digne and J","venue":null,"work_id":"7138f553-4e2b-49d7-9852-893e893f99a2","year":1991},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:ed4b6d73d1913321b3d570d576392612e22dbd390ec67d57eb7e4af5baf80545","observation_id":"ef89aa1f-6dff-4871-93c5-7e9f06b98400","resolution":{"observed_at":"2026-07-05T14:31:10.930477Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.901877Z","title":"Dolfi, G","venue":null,"work_id":"e3097bb7-50aa-44fd-9742-301155c8ea03","year":2008},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:7d4bb40f4808a3468989dcb4e4b9dc172c3f3d43c7797bbbfa5657e24d348681","observation_id":"dcae180c-eac8-4924-ade4-4349384a61a3","resolution":{"observed_at":"2026-07-05T14:31:10.903997Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.908723Z","title":"Ennola, On the characters of the finite unitary groups, Ann","venue":null,"work_id":"3f5ea033-7d15-403d-a095-717aedf8c37c","year":1963},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:720394260ee8f3809470239fe3ecb6494430ab31c618b1ce75589e614d7a4b24","observation_id":"f0b16406-519c-4dbd-81b9-f51cbe6831ab","resolution":{"observed_at":"2026-07-05T14:31:10.910900Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.918211Z","title":"Feit, Extending Steinberg characters, in: Linear algebraic groups and their representations, (Los Angeles, CA, 1992), Contemp","venue":null,"work_id":"3b826145-7252-4ea7-8179-6458b0bb02a3","year":1992},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:0c239c683ff2c7d873f18accea482a5728455681297224d8d7f177e2a7e7defc","observation_id":"0ddf22f5-8ee3-4a72-96f8-f8b8882ccafe","resolution":{"observed_at":"2026-07-05T14:31:10.920305Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.898612Z","title":null,"venue":null,"work_id":"958e027a-c622-4ea8-99b5-26168d2decaa","year":2022},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:5b6a10f4f160d24d0922e434485ba6d97eb2c9402c68958148d93d4507f0353f","observation_id":"d7f36249-745c-4cd7-99ba-09485acbc8bf","resolution":{"observed_at":"2026-07-05T14:31:10.900708Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.905347Z","title":"Geck, Irreducible Brauer characters of the 3 -dimensional special unitary groups in non-describing characteristic, Comm","venue":null,"work_id":"aaf3eb46-8476-4683-a0d0-69191b7a66fc","year":1990},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:6578a86772cf60c074e2666a766f77e142ac2b3d0d71ab260ab14a015c4cbd62","observation_id":"d5715447-b0e6-49c9-b09b-80adaec5ab1c","resolution":{"observed_at":"2026-07-05T14:31:10.907244Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T15:31:17.463865Z","title":"Giannelli, S","venue":null,"work_id":"760544fe-63ca-478e-abcd-43ca70eaf54c","year":2022},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:fccb97844ec4d618350996dfab4f863f18167f0d6c4aa110955666fe9c6be72a","observation_id":"8e2d51c9-7268-47cf-b7c5-1da54bf857f9","resolution":{"observed_at":"2026-07-05T14:31:10.932861Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.859067Z","title":"Gorenstein, R","venue":null,"work_id":"e68024bb-5a8e-4c34-9c41-01f469af0c22","year":1998},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:6ce110737388ab2d46d749625f19fba10c81e511415497cdd512f548265c83f4","observation_id":"b82b5d16-f31f-441c-b60a-67eefb12572a","resolution":{"observed_at":"2026-07-05T14:31:10.861021Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.871115Z","title":"Granville and K","venue":null,"work_id":"2f58671f-7d31-4b8c-9f47-b84becddbd9e","year":1996},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:f408169080cf50e44e6bd450928c4f8bc517f93fa0f883559905be93fb136b95","observation_id":"e8fb1e00-b5fb-4d34-80c7-8fd07b0b998b","resolution":{"observed_at":"2026-07-05T14:31:10.872821Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.948957Z","title":null,"venue":null,"work_id":"93d0620a-6083-4dee-9965-581f0391887b","year":1990},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:4bf82550bd9fb81256297e9049372f83aad61403028f66f0f189a1e20d804037","observation_id":"04d3cafe-0433-457a-932e-f387a9b597f6","resolution":{"observed_at":"2026-07-05T14:31:10.950875Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.926576Z","title":null,"venue":null,"work_id":"a1e09f2b-a937-4b86-87fa-1c65281d75b0","year":1999},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:c16c43fee54c03c36d928d892f372a94336fe39b9a77e0b411a2f93c25d19fb6","observation_id":"6e7512f2-a443-410a-a9f8-923503d4a95a","resolution":{"observed_at":"2026-07-05T14:31:10.928155Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.939700Z","title":"Heide, J","venue":null,"work_id":"65d83d70-7cff-4b33-b79e-2cadbb7550ce","year":2013},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:7ef1f8fa4324f0a5f25da07dda7b2b4094647533f5f0767b28125cb659ed44c3","observation_id":"9edee29f-1472-4e02-b550-efedb6a4a520","resolution":{"observed_at":"2026-07-05T14:31:10.941474Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.921198Z","title":null,"venue":null,"work_id":"4d40b94d-0eb5-4ca0-87f1-a7aecd4ac0fb","year":2006},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:f6fdba30b672664ce7a3b10ea38f745c4e6a348006a8b569e0bafbb733fed50b","observation_id":"33b97874-e539-4209-96bb-87da0c21b15c","resolution":{"observed_at":"2026-07-05T14:31:10.922882Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.951766Z","title":null,"venue":null,"work_id":"86a0d3c5-6bcf-430a-b910-a6352c5f4212","year":2008},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:6cd2f2fdd79cf5c25d393bb3f1d82998f2e45ba3de040e3dd192a9476d9e53e9","observation_id":"47e3574f-d2f4-4f34-804b-a55d22a965fc","resolution":{"observed_at":"2026-07-05T14:31:10.953644Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:41:09.808822Z","title":"Javed, J","venue":null,"work_id":"a9aeb43a-f0a7-43e1-a92b-7a92b5c5d37d","year":2024},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:12ea6b4bc5b13ddb3dfb4c65f4a978a81006a9f80277a2bb6387223b9570e50b","observation_id":"3ea90cce-a062-4fa3-a5cd-89c001de663a","resolution":{"observed_at":"2026-07-05T14:41:09.810085Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:41:09.818215Z","title":null,"venue":null,"work_id":"f3ddc5d3-7c65-4c5d-8c32-052a64dc8a9e","year":1990},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:29c97a75a8bc472e7093d4ec310ce106ab273ee6b546a647fda1a348f2875e6f","observation_id":"02535b4f-f427-4416-a618-b0f8ca8938f1","resolution":{"observed_at":"2026-07-05T14:41:09.819493Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:41:09.822135Z","title":null,"venue":null,"work_id":"c6d20c6d-d50d-42b0-b7d5-cce310a79577","year":1984},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:4b7076c340cec7b79238e09baf37e4547c03bd0dd4fd306af6e5e9432be49dcc","observation_id":"1b5e3498-3cc4-4eb8-9f1a-66f70b78bd28","resolution":{"observed_at":"2026-07-05T14:41:09.823503Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.942393Z","title":null,"venue":null,"work_id":"41731a5e-1ae4-4514-8276-13da9a0ab807","year":1985},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:f8c1fbbaab8bab58e8f4aaf943c4017808cb755e205f7ca6aae06dee7f863874","observation_id":"c22613b2-2f07-4e8a-bb58-ff0252c31e7c","resolution":{"observed_at":"2026-07-05T14:31:10.943910Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.903189Z","title":null,"venue":null,"work_id":"357ba435-d3a7-40bb-a219-9d1213fe1e48","year":2010},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:72bec21ff5a9c32845473b5acd8927edada2339e86b3f9c3492f91b2cef71768","observation_id":"ccb51230-15a7-4cec-a655-987d32d3cc0e","resolution":{"observed_at":"2026-07-05T14:31:10.905098Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.933723Z","title":"L\\\"ubeck, Elements of order 2 and 3 in exceptional groups of Lie type, https://www.math.rwth-aachen.de/ Frank.Luebeck/chev/23elts.html","venue":null,"work_id":"21bd25c7-d95b-4ca2-ab9f-1c46dbb07298","year":null},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:9528a3440c199ad7e40ecdeb10dd7861d7424b33302d74986144beeddc7675de","observation_id":"5c438df7-9bed-4a7d-8b05-f988120fc942","resolution":{"observed_at":"2026-07-05T14:31:10.935689Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.912744Z","title":"Lusztig, On the representations of reductive groups with disconnected centre, in: Orbites unipotentes et repr\\'esentations","venue":null,"work_id":"26336ad4-c54b-43c2-b565-a5d1a58fbaa7","year":1988},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:6353531ccaed52cd1adc7cf51cd0e04c64a43781534027e2d9aed9246006184a","observation_id":"7f7c2dc8-d0f0-436e-9cb5-471a1633a48e","resolution":{"observed_at":"2026-07-05T14:31:10.914939Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.915237Z","title":"Malle, Extensions of unipotent characters and the inductive McKay condition, J","venue":null,"work_id":"2645fb3a-ae8c-4810-a7a4-f7d4072a5ad0","year":2008},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:e2b2001b9beb98dea57e083a55c9d762b67068dc6102cb36e1a7ff567bbb47d4","observation_id":"9f24d448-bf9d-49b3-bf9b-3236451abe38","resolution":{"observed_at":"2026-07-05T14:31:10.917340Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:41:09.807012Z","title":"Malle and G","venue":null,"work_id":"7c91c1e6-e06a-4690-a875-30beb044109e","year":2012},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:c6c6b3e7a02153a948b1f9d9ce33efcd400efeec347214d470aa08bd5e4c5658","observation_id":"41f0f973-9daf-4b64-a38e-25b1d7452fe1","resolution":{"observed_at":"2026-07-05T14:41:09.808177Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.894891Z","title":"Malle and G","venue":null,"work_id":"f98b5ed4-bd12-48d6-a2da-be4c106e1c5a","year":2023},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:ffeac9f75c4b4b6ba917b1d956bb9a1b3fc4beca5e7ad614a4045649c0a7ded9","observation_id":"2c6517ed-7797-41f3-8bdb-c9e5ed1ade26","resolution":{"observed_at":"2026-07-05T14:31:10.896990Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.911778Z","title":"Manz and T","venue":null,"work_id":"7d13b634-e2ad-4cdc-8fae-77a5bef7818d","year":1992},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:8034fa014573ccaae6ebacdacd5f0d30b5a62eefe7ec7c8e7f6b8e77796b58ff","observation_id":"86f2d1da-e961-4b56-a205-10b80be92044","resolution":{"observed_at":"2026-07-05T14:31:10.913674Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.944907Z","title":"Marinelli and Pham Huu Tiep, Zeros of real irreducible characters of finite groups, Algebra Number Theory 7 (2013), 567--593","venue":null,"work_id":"7f76bd3e-861d-45fe-9740-a993f452ab68","year":2013},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:22ce55af9f64e6cf12a0260adfddb38b0c83e38413b9a3992a6c6aae8e486ffa","observation_id":"ae6f08b7-8fc8-4a5a-8f08-18fb62856da4","resolution":{"observed_at":"2026-07-05T14:31:10.947787Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:41:09.815887Z","title":"Moret\\'o and Pham Huu Tiep, Prime divisors of character degrees, J","venue":null,"work_id":"16ea8289-0455-4d6d-bc82-76d98446537c","year":2008},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:9b31eead33b42a6d3c858f9a83f616be1dda3461425a43ff730fbdc8bb2f07b4","observation_id":"2bc9234a-c8aa-46c6-a849-259c730fadf6","resolution":{"observed_at":"2026-07-05T14:41:09.817499Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.957569Z","title":"Navarro, Character Theory and the McKay Conjecture , Cambridge University Press, Cambridge, 2018","venue":null,"work_id":"994b00c6-5377-4b93-8c04-af1cbe5081db","year":2018},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:00b678ea36fa178796239dffeb76ba92d71c8725ebddef5db9387b349e9faaad","observation_id":"4a6d344e-bf92-45f3-8bb5-ff4fae6f226a","resolution":{"observed_at":"2026-07-05T14:31:10.959044Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.960065Z","title":"Navarro, Galois action and characters of finite groups, preprint","venue":null,"work_id":"2416d529-92b5-45a8-97d9-f84ee3da658e","year":null},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:b385b6cdde0a717c029bdaa9801b27186c713dc99de645f8ec7e349fd024204a","observation_id":"aedfb333-a7f9-4bde-a68a-cfe8f0c1e744","resolution":{"observed_at":"2026-07-05T14:31:10.962205Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:41:09.820033Z","title":"Navarro and Pham Huu Tiep, Degrees of rational characters of finite groups, Adv","venue":null,"work_id":"55ff38b0-33d9-438c-a7d8-c9926bbb9f22","year":2010},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:bd651abf9f1b42aa43ffb71d4e81d2e3c25636e2273f415eaab2abaf2fdc86da","observation_id":"05268a9e-81b0-4c24-83b7-3733d8dfcba8","resolution":{"observed_at":"2026-07-05T14:41:09.821490Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:41:09.812653Z","title":"Navarro and Pham Huu Tiep, Degrees and p -rational characters, Bull","venue":null,"work_id":"c59e373f-8cd2-4d55-8edf-313458f08995","year":2012},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:a3132d06d1ac628ed4f6f2a4c74f29b96a8575505c6c08572f3b56b2a5edc188","observation_id":"790c901e-57c3-4ab3-98fd-e5956b63e29f","resolution":{"observed_at":"2026-07-05T14:41:09.814000Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:41:09.810942Z","title":null,"venue":null,"work_id":"7be82fee-a892-4d06-bb71-f47aa4eec591","year":1989},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:1ac2c0571ae4a7ac0bb494958b631c31ee5463083ff1064ff7d4db16e7220e43","observation_id":"205cb789-1fba-4a35-be19-c942e4786931","resolution":{"observed_at":"2026-07-05T14:41:09.812037Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.954840Z","title":"Sin and Pham Huu Tiep, Rank 3 permutation modules of finite classical groups, J","venue":null,"work_id":"1638e19e-8ee1-459b-93f9-f8439620af33","year":2005},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:093c2ef1ce1089f30bbfd1a0375770aad4ab320abc1e88758a5bc7fd441ab394","observation_id":"d8df5f57-7e4d-4901-91e9-4066c3f6d37d","resolution":{"observed_at":"2026-07-05T14:31:10.956718Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.874163Z","title":null,"venue":null,"work_id":"5ebb3d66-bc01-4795-adbc-0b1e2c0d1056","year":2015},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:c2dba15c3b70fcd2b5a11cfaa65b8456a4549f4629eea7cfaff495af31626de7","observation_id":"95903cec-95d6-466c-9cf1-50ffaf98b94d","resolution":{"observed_at":"2026-07-05T14:31:10.876895Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.896210Z","title":null,"venue":null,"work_id":"425d484c-65d6-48b6-93aa-0eda7478031e","year":2005},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:22062f0535f3c62c52a8e67ab702ce9db136598ca555086eed21579d52923c5c","observation_id":"c0c67ac3-5ca4-4b1a-856a-e6d3cd8b60d7","resolution":{"observed_at":"2026-07-05T14:31:10.898956Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.893069Z","title":"Willems, Blocks of defect zero in finite simple groups of Lie type, J","venue":null,"work_id":"e623a970-5d36-47bf-9f99-953fb7930300","year":1988},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:f00eecb2a1bc284b0f9c08685c7c9b464b38d299aa07d2bc533a162e465fbb03","observation_id":"dca8aa1f-125f-4d8c-8111-5f3673c3f184","resolution":{"observed_at":"2026-07-05T14:31:10.895238Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-07-05T14:31:10.923879Z","title":"Zsigmondy, Zur Theorie der Potenzreste, Monatsh","venue":null,"work_id":"5957fc27-147d-4cce-8184-d175f4992c38","year":null},"citing_paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-07-03T04:27:01.680743Z"},"links":{"citing_paper":"/paper/2607.01706"},"observation_digest":"sha256:dc1893173446c93f7af2508e574aacbe45669baa38a03cd90046f778b72079e1","observation_id":"0bdf5613-c813-41e4-a558-f17f0bc610ee","resolution":{"observed_at":"2026-07-05T14:31:10.925656Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2607.01706","last_updated":"2026-07-02T04:58:17Z","latest_version":1,"primary_category":"math.GR","snapshot_observed_at":"2026-08-17T08:34:05.174857Z","submitted_at":"2026-07-02T04:58:17Z","title":"Degrees of $p$-rational characters and normality of Sylow $p$-subgroups"},"reference_resolution":{"displayed":39,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":13,"verified_exact":0,"verified_fuzzy":26},"total_outbound_references":39},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2607.01706."}