{"as_of":"2026-08-09T07:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bff9189bb418789982db51568ec2667b3b4d830543b78704ff218d2b5b9fafca","coverage":[{"denominator":40,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":40,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T13:57:53.535607Z","state":"measured"},{"denominator":40,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":40,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+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/2505.20999/citation-record","integrity":"/paper/2505.20999/integrity","json":"/paper/2505.20999/citation-record.json","paper":"/paper/2505.20999"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:57:59.215071Z","title":"Acciarri, E","venue":null,"work_id":"36551a9e-c35f-4459-8b17-67735c0fb493","year":2019},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:50.244155Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:65d18b603e94f05e1891d2af42f839676b71206d748d9deeaa51e27fc6307471","observation_id":"27c01161-0c45-48d4-81f1-3abd0bb8b846","resolution":{"observed_at":"2026-08-07T13:57:59.240190Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:59.081685Z","title":null,"venue":null,"work_id":"e7000abd-4c7e-4115-935f-4b93782b3367","year":1962},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:50.287345Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:8da32f3557f062ceec907c4c93b68ee41b4e47306a595d5c313ce71563e05205","observation_id":"7a2628da-9ccc-4bb2-812c-c7db9be524ae","resolution":{"observed_at":"2026-08-07T13:57:59.157337Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:58.901550Z","title":null,"venue":null,"work_id":"c0cdf30d-ca4b-494a-aac9-f0296d89e3d8","year":1990},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:50.331381Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:b013926d6fadf2da80058fc2d5308ae64d7199b1ce13094a7c9d706ad9f41c1f","observation_id":"30094c4c-1c15-418d-adb7-9ea43124557c","resolution":{"observed_at":"2026-08-07T13:57:58.984251Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:58.739891Z","title":"Brauer and K","venue":null,"work_id":"45b4d185-e83d-495a-9124-58268d78f561","year":1955},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:50.377428Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:aa08822216576fe0d7ab85afdc2da7a62d8022f657979e2db957688e918377a9","observation_id":"093518b1-0e86-47b4-ba14-332eb41bbdaf","resolution":{"observed_at":"2026-08-07T13:57:58.833403Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:58.574283Z","title":"Busetto and E","venue":null,"work_id":"25e13611-bcc1-49cc-8985-1ab57fa7fe03","year":2016},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:50.433360Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:b388b6b45201abb039b1d00a934d60a86032496f9c259a2a61b786dff09323d0","observation_id":"69f7602f-1283-4a45-b5c6-1c66b6b7d277","resolution":{"observed_at":"2026-08-07T13:57:58.648571Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:58.296164Z","title":null,"venue":null,"work_id":"850396d8-715b-42b6-a38f-4d37f9b04a1d","year":1969},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:50.460248Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:763232695aaa464c915e0d137467a8875b50f4241799cb9b21cb01f6953cc24b","observation_id":"f3727345-5978-4db4-a81d-7ff3239894b9","resolution":{"observed_at":"2026-08-07T13:57:58.415682Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:58.024761Z","title":"Ercan, On a Fitting length conjecture without the coprimeness condition , Monatsh","venue":null,"work_id":"6838dcf4-d6e6-4d91-9fc7-f35a8af2caf5","year":2012},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:50.497174Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:f1c9fd25d4a62eb5d12426f397d397dced0a2481954c25bbe91d8bc2893833fa","observation_id":"490451b2-fc1a-4a6f-8bc0-ab586501fd75","resolution":{"observed_at":"2026-08-07T13:57:58.169929Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:57.847214Z","title":"Ercan and ˙I","venue":null,"work_id":"5d8c6af0-5b5a-4b21-b847-98c17f43b3a2","year":2004},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:50.547066Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:c38e94277379e9939bd601af9df17e591660b0378b17b5b9ac520f64b82f2046","observation_id":"8c35bcd2-c45b-43a2-b0f0-059351524803","resolution":{"observed_at":"2026-08-07T13:57:57.923448Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:57.696825Z","title":"Ercan and ˙I","venue":null,"work_id":"80685bf3-a9cc-4706-a5df-1500c57c9fb2","year":2008},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:50.586833Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:2bec31d5cff3efe66286b1d7e885f87f12b019f97b3f4289903f4ae891986636","observation_id":"b2c4e155-549c-497e-ab10-0859d48f6247","resolution":{"observed_at":"2026-08-07T13:57:57.762622Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:57.542515Z","title":"Hartley, A general Brauer–Fowler theorem and centralizers in locally finite groups , Pacific J","venue":null,"work_id":"4a5c24ae-872b-4490-aa41-410599e3105e","year":1992},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:50.636395Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:bb1169016ba76ff5d351ba27c2ecca3cc6de33fc18d0b8523dc34c2c967a06a1","observation_id":"0b37bd69-4c39-4ec6-a573-58bf07536097","resolution":{"observed_at":"2026-08-07T13:57:57.614610Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:57.371911Z","title":"Hartley, Automorphisms of finite soluble groups","venue":null,"work_id":"6dcebc59-6d8a-406d-b31c-49891b8049b4","year":2014},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:50.698207Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:91aadf4b5024ca5fe392541ade2981f1c9a8769b3419b080b141d5820cff58a3","observation_id":"609f5313-1591-4e4d-8982-e2039ff61bab","resolution":{"observed_at":"2026-08-07T13:57:57.458375Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:57.205542Z","title":"Hartley and I","venue":null,"work_id":"ca6d2298-1cd9-4446-a5e7-48023e020b25","year":1990},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:50.748524Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:f7ab3e7992b007e95ae27c0872c95f2677e8224da0bf88ddd17631e5b40bb9a3","observation_id":"f5505703-b69e-4ef1-a2b3-b6ac6e33aa8a","resolution":{"observed_at":"2026-08-07T13:57:57.277794Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:57.101308Z","title":"Hartley and V","venue":null,"work_id":"42e83067-45b0-416d-8f6e-04cadb9478c0","year":1987},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:50.819418Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:f880a7e7237f582e56e45bed0509e626b99d2136c89e1d19b3debe531be81ee1","observation_id":"cb206cbc-b8fe-44cd-abee-ddcb99de3ee0","resolution":{"observed_at":"2026-08-07T13:57:57.138497Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:56.949532Z","title":"Higman, Groups and rings which have automorphisms without non-trivial fixed elements , J","venue":null,"work_id":"b6d7f974-61fa-4975-bbc7-5ac9ea65e716","year":1957},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:50.864663Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:b52b21511a6cb95691342a8bbe963707cf2a58b5dbb39b3b75f04d26b17817da","observation_id":"95f5de5b-8df4-479d-b935-92a2b3575f1d","resolution":{"observed_at":"2026-08-07T13:57:57.050640Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:56.802033Z","title":"Jabara, The Fitting length of finite soluble groups II","venue":null,"work_id":"c5354915-fe4a-4c90-93fe-59bc4dafabc6","year":2017},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:50.921986Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:cea6b3f90f16f0f7236293fafb2e35b470add6e99e5fec045daa6fcd0784c9e8","observation_id":"cd01141f-5a85-45c3-8e48-358fea7b6cb7","resolution":{"observed_at":"2026-08-07T13:57:56.869977Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:56.734751Z","title":"Jaikin-Zapirain, On almost regular automorphisms of finite p-groups, Adv","venue":null,"work_id":"5882acb1-1326-4818-8e22-e58635957741","year":2000},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:51.015932Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:bbfefc59be1e09a618def02639d254e0e3be970dae0bfd142ab74d0308537add","observation_id":"7ba99bd1-b25a-4a80-99ab-4b4b2ebc89db","resolution":{"observed_at":"2026-08-07T13:57:56.767675Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:56.594456Z","title":"Jaikin-Zapirain, Finite groups of bounded rank with an almost regular automorphism , Isr","venue":null,"work_id":"a4daf511-6180-4d7a-8443-aab482b7f370","year":2002},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:51.097272Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:c11c23cffffa089641dfecda22185c48f347b104ff87eb812e3ba4f958196cb6","observation_id":"68ebcc8c-52e5-4ee5-8e49-5cef63ff41ff","resolution":{"observed_at":"2026-08-07T13:57:56.658753Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:56.453418Z","title":null,"venue":null,"work_id":"4ba7636f-deff-426f-b47c-062618fdce01","year":1973},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:51.148065Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:105766d07a502db9dd28748d46838866e11d2d07a088dae4bd997b12b9176fe7","observation_id":"1e51bd30-72bd-45c4-b534-e48ffec09b7b","resolution":{"observed_at":"2026-08-07T13:57:56.512417Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:56.361737Z","title":null,"venue":null,"work_id":"ca7cd037-11ec-4317-8217-90cb0f619362","year":1985},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:51.194516Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:8332dad779a1127882e969c8110f90f1fb4725a0267d5d5a8e376c6c06e0da3a","observation_id":"12fd0e04-7d5f-4a8c-a662-6f09f6094358","resolution":{"observed_at":"2026-08-07T13:57:56.391167Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:56.236821Z","title":null,"venue":null,"work_id":"52d4af12-582a-4f1f-a436-72a068cee8f7","year":1990},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:51.333892Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:0c7bae7041dddf913cda6a953244c96af80b1fa2deff7b994bd531f0148946e1","observation_id":"e14f50ec-0443-45d1-93e3-2d8553970a7e","resolution":{"observed_at":"2026-08-07T13:57:56.285635Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:56.083885Z","title":null,"venue":null,"work_id":"1d7a69e7-f01b-445a-b40f-067622903e92","year":1993},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:51.459524Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:f736f33363ba43e9b57aa5421b6d1974cbe7a1c5e8e9d23c88fbacb81a5ef512","observation_id":"564f42bd-553f-4c46-b5f1-24ccd2af1c80","resolution":{"observed_at":"2026-08-07T13:57:56.130228Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:55.926328Z","title":null,"venue":null,"work_id":"95575ec8-3ad4-4437-9a29-cff78456f678","year":2015},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:51.572117Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:4fa44f189000601acddfdc7615781cdfed254435b8dd971a2c4a101b829903e9","observation_id":"550e7a2d-c9df-447a-85db-e040a159c6d4","resolution":{"observed_at":"2026-08-07T13:57:56.004737Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:55.782553Z","title":"Khukhro and V","venue":null,"work_id":"9cf9727d-06a9-4048-95e5-81f6e6166880","year":2005},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:51.675011Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:3b4e9758f5b55e42698a38d8ba17ead73d133e018d1bf39a41a66cb863e31625","observation_id":"9dff0c81-60b7-4ee9-8e54-a4a4a599ee81","resolution":{"observed_at":"2026-08-07T13:57:55.830443Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:55.678360Z","title":null,"venue":null,"work_id":"93073f3f-f5da-4483-9c16-f758870bbd05","year":2022},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:51.798231Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:7c00ecc95aef97e6ee555a39eb5507dfa2e87ec26edb96ada5eaf8ddff422611","observation_id":"132a2dfb-15a2-4c5f-8d94-44ff23970000","resolution":{"observed_at":"2026-08-07T13:57:55.735042Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:55.519798Z","title":null,"venue":null,"work_id":"943db693-864c-4f14-b5fe-397fba9640c7","year":2022},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:51.954055Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:a9a929282252bce9fb1abb09849249c96d4fa59527fccabd415e0641fd37bc5c","observation_id":"de74511c-c9fd-42ba-bb84-b11099dfeb24","resolution":{"observed_at":"2026-08-07T13:57:55.591846Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:55.392214Z","title":null,"venue":null,"work_id":"22b5a182-f8c8-49c8-bf97-75d2c5adab21","year":1960},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:52.022276Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:bc07419dff75593d2dcc7a7156be47e6733b145d59ce9d3626649dd011d03d9f","observation_id":"00780fd7-133c-4f92-a16a-82f4cdbb38dd","resolution":{"observed_at":"2026-08-07T13:57:55.435585Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:55.238694Z","title":null,"venue":null,"work_id":"87cf4a9b-0bd4-48e1-9a20-08ea1e5ef48a","year":1963},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:52.115774Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:c6b436746e13fd423b32ca819b60655cbfe7329c0dc037ce155e0d66e7c230a0","observation_id":"c308433d-5747-4094-8f1c-957e141e0877","resolution":{"observed_at":"2026-08-07T13:57:55.300073Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:55.164532Z","title":null,"venue":null,"work_id":"52cc98c9-0335-4b5a-a648-4cb6de9dba54","year":1963},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:52.211321Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:f548a5cb54f171af503dcc6c7ed0df845f1f07ab1dfb6782bea22088c03a2621","observation_id":"85668671-c391-45e8-a9f8-dfc646c9b6b9","resolution":{"observed_at":"2026-08-07T13:57:55.195137Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:55.106982Z","title":"Kurzweil, Eine Verallgemeinerung von fixpunktfreien Automorphismen endlicher Gruppen , Arch","venue":null,"work_id":"95c4a4ba-ad28-48ad-8f19-f596e3fcb87a","year":1971},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:52.372383Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:4e1445f1819f87a91f7dcf6d4db081f301905d116479f20e7f17d44b8de38be7","observation_id":"ce46e9cf-4b75-42af-a7e4-0cdeecf10d8e","resolution":{"observed_at":"2026-08-07T13:57:55.130422Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:54.950685Z","title":null,"venue":null,"work_id":"20493059-e6bb-4476-b06b-9bf577ab0fb7","year":2006},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:52.487448Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:2aef3004e35aa747e6f23085895d9fe8edacc2243174bf1dacbc435b3a63b176","observation_id":"008ecdcf-baf6-4b13-ae2d-d1086deb3741","resolution":{"observed_at":"2026-08-07T13:57:55.020135Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:54.847231Z","title":null,"venue":null,"work_id":"6d18868b-03b3-4aac-a57c-b4084e3971ab","year":1995},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:52.582420Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:d18b362bd784e0a3af664870d6417f3066c57148d842b83b96fccc299fd66c57","observation_id":"c66b134a-664d-4b59-8ba8-4ab678a37b69","resolution":{"observed_at":"2026-08-07T13:57:54.894667Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:54.773964Z","title":"Medvedev, p-Divided Lie rings and p-groups, J","venue":null,"work_id":"dcfa5cad-1a3e-4240-aa4a-de5fa8fe509d","year":1999},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:52.681454Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:78eca0ac2ae956b0cdfc3ef0705e819e90d2bf65eb15a6e5f589249191150582","observation_id":"e11e1d53-133e-46f3-9c76-bdfb92b89eac","resolution":{"observed_at":"2026-08-07T13:57:54.804769Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:54.700551Z","title":"Shalev, On almost fixed point free automorphisms , J","venue":null,"work_id":"7bdcb54e-bc6e-4b79-a41b-05b293c7d9e7","year":1993},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:52.806538Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:5845a8f91494869dda419515b7a09a2118db6ff48fcb7adfb116fa5c8933f8a3","observation_id":"18c0fe92-a58b-4148-894b-a02d74de1c3c","resolution":{"observed_at":"2026-08-07T13:57:54.730197Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:54.545518Z","title":"Shalev, Profinite groups with restricted centralizers , Proc","venue":null,"work_id":"4b968c31-cd62-4df9-8c2c-5f75403b278a","year":1994},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:52.922480Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:248d85a864412918e7483725f278cd9379a3692ec5273232d6fbb4895cc0f440","observation_id":"b887bfc3-0ae2-4aea-b13b-96362ec507bb","resolution":{"observed_at":"2026-08-07T13:57:54.623402Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:54.372460Z","title":"Shalev, Centralizers in residually finite torsion groups , Proc","venue":null,"work_id":"2a454e43-bb02-4717-be29-56bfbd944355","year":1998},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:52.973397Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:9d3cf9467bbca7056954ebf2d3c6a4a5636be2cff78afd0b9891b91af06b8407","observation_id":"b49fcf37-dabc-41ef-8c56-eb22703f61e2","resolution":{"observed_at":"2026-08-07T13:57:54.470088Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:54.224719Z","title":"Shalev and E","venue":null,"work_id":"ca6f0aa6-42fc-49bc-aa55-97d5277739b9","year":1992},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:53.050141Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:c8cc6282726ac22553537d5bf750a12b7847bdbb160af42eb2492bac6440d555","observation_id":"820afff7-4859-410e-8599-d338a68e6f0d","resolution":{"observed_at":"2026-08-07T13:57:54.290753Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:54.050782Z","title":"Shumyatsky, On pro- p groups admitting a fixed-point-free automorphism , J","venue":null,"work_id":"ee05ccbf-a06b-43bb-b908-166b14c24611","year":2000},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:53.171452Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:9269639657bfb10625ce9730b417799ca4059e980a63699c08503324237d1b77","observation_id":"187726cc-fa71-4d1a-a17a-7bc409ea6273","resolution":{"observed_at":"2026-08-07T13:57:54.152029Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:53.910371Z","title":"Thompson, Finite groups with fixed-point-free automorphisms of prime order , Proc","venue":null,"work_id":"6c6529d7-ef1a-4394-86d1-a203622064d1","year":1959},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:53.293838Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:b3d34ce3d127f2407e154b0774300798e0890a358e51ba4912e60f724816b56b","observation_id":"88cdb9cd-a662-4d54-9c1b-4667dc5ff2d3","resolution":{"observed_at":"2026-08-07T13:57:53.956443Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:53.762699Z","title":"Thompson, Automorphisms of solvable groups , J","venue":null,"work_id":"432c8718-9541-4b21-9604-f7e653e9da7c","year":1964},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:53.447806Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:103ba3247b333bfc470f33ce93fee0660ac3212bb99573dde555ff40c4511d35","observation_id":"10503fe0-3e7d-4d17-8c2f-8e0eea5065c2","resolution":{"observed_at":"2026-08-07T13:57:53.822226Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T13:57:53.625900Z","title":"Turull, Fitting height of groups and of fixed points , J","venue":null,"work_id":"e5cccf8d-c1f4-490e-b13e-818ff47ee301","year":1984},"citing_paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T13:57:53.535607Z"},"links":{"citing_paper":"/paper/2505.20999"},"observation_digest":"sha256:e9f255e43a9fd038f4d7e7fabd2ed1837b88a3e6626d991ef452cffe4d0555fc","observation_id":"a5dbd52b-0737-46fe-90b9-52809400c660","resolution":{"observed_at":"2026-08-07T13:57:53.695493Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.20999","last_updated":"2025-08-20T13:33:30Z","latest_version":2,"primary_category":"math.GR","snapshot_observed_at":"2026-08-07T13:40:21.109922Z","submitted_at":"2025-05-27T10:32:11Z","title":"On a problem of B. Hartley about a small centralizer in finite and locally finite groups"},"reference_resolution":{"displayed":40,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":15,"verified_exact":0,"verified_fuzzy":25},"total_outbound_references":40},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2505.20999."}