{"as_of":"2026-08-22T05:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2eb9752777ccfe30ea2bef65c73f9453714a9c147bef8e21407142c290f68109","coverage":[{"denominator":35,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":35,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T23:31:40.884097Z","state":"measured"},{"denominator":35,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":35,"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/2608.12783/citation-record","integrity":"/paper/2608.12783/integrity","json":"/paper/2608.12783/citation-record.json","paper":"/paper/2608.12783"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T23:31:41.254194Z","title":"Alavi, On groups with the same character degrees as almost simple groups with socle small Ree groups, Commun","venue":null,"work_id":"05491120-aa89-4efa-befe-94bc5720c613","year":2023},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.768570Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:7402df60a253c2eb1b6b75d55296c654447d57f51d333d51f3a4ed156ffa5e68","observation_id":"56005ef5-ff42-46ed-9348-6f95d7793a99","resolution":{"observed_at":"2026-08-15T23:31:41.257741Z","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":"2026-08-15T23:31:41.244932Z","title":null,"venue":null,"work_id":"52d7c90a-0856-4f84-b6fe-ff99b9bea0a6","year":1990},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.772395Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:00d3cb29d12c6ac7222e661089386d1bed9d07e031d732fe7de43720971554f4","observation_id":"d9e4e867-1182-4dcd-942d-12383b9486f1","resolution":{"observed_at":"2026-08-15T23:31:41.248083Z","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":"2026-08-15T23:31:41.235742Z","title":"Brauer, Representations of finite groups, pp","venue":null,"work_id":"abc130cd-5cb9-4c68-8b7b-2a34fad38032","year":1963},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.775875Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:8281f1541990a9fbc05e41c451a8f8a98cd099319f5551c6f19e59b35d2c7020","observation_id":"d7a2b397-6b83-446b-954f-95a890866e5e","resolution":{"observed_at":"2026-08-15T23:31:41.239046Z","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":"2026-08-15T23:31:41.226825Z","title":"Bessenrodt, H","venue":null,"work_id":"272f75b2-e17d-4c49-8f78-8370372a2a5d","year":2015},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.779030Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:cb0b18df9d09111aba49f25ecf95c5545708cbc2c6c4a543ebc44a6ced43773a","observation_id":"0f11f9c6-3fdf-4ee0-83a1-9becf1137182","resolution":{"observed_at":"2026-08-15T23:31:41.229937Z","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":"2026-08-15T23:31:41.217677Z","title":"Brachter and P","venue":null,"work_id":"a4793fd4-6ab0-44c6-8720-f9342a3bd19d","year":2022},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.782677Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:9d32868b6cbccb929c84dfe93bc8d44a1c2d29a6e1e10ce34161581b4b5a8f72","observation_id":"0b5ce449-a103-4732-b21d-4d50564372e0","resolution":{"observed_at":"2026-08-15T23:31:41.220791Z","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":"2026-08-15T23:31:41.208788Z","title":null,"venue":null,"work_id":"4f5b081a-176f-4e3e-b583-3057d6135bb0","year":2008},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.786106Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:6ee119bf257da0ba47794361c3c2233374a1df5874d43dfa264dadebb02de686","observation_id":"de079296-1514-4a1b-ae52-7ca6a7245241","resolution":{"observed_at":"2026-08-15T23:31:41.211918Z","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":"2026-08-15T23:31:41.199487Z","title":null,"venue":null,"work_id":"0c9878f7-246f-4eb3-9d77-f93c5cadc853","year":1985},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.789685Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:59c87fefeca386dcc27393c72dc774f1fceba0837e1df2f8135a7bfe3e96b098","observation_id":"31a141f2-574c-4ffa-8f7b-cfe71ed7c4dc","resolution":{"observed_at":"2026-08-15T23:31:41.202550Z","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":"2026-08-15T23:31:41.190592Z","title":null,"venue":null,"work_id":"357d0e95-cd40-44c9-9845-0347a49eaa87","year":2023},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.792840Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:52d1ea5e29df4424ad4093f3db920b34e0f81b05dbe18087a4f9405afac43ea3","observation_id":"de4bb74c-e859-438b-838f-42ceff14d636","resolution":{"observed_at":"2026-08-15T23:31:41.193593Z","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":"2026-08-15T23:31:41.181683Z","title":null,"venue":null,"work_id":"7f7ed5ff-b8bf-41b4-bba1-692df6e65acd","year":2015},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.796018Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:701362fc1e454578c85ba0b3d8660b06c74ff2511e2c9a4c1d44ab4bd26a2fe0","observation_id":"08f987ac-4d8d-430d-ad03-a76597408a3a","resolution":{"observed_at":"2026-08-15T23:31:41.184810Z","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":"2026-08-15T23:31:41.172764Z","title":null,"venue":null,"work_id":"cfea78fc-fd84-44bf-b2ec-9d46c50e506b","year":2019},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.799584Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:04c7441c8e85f008b087fcc25bb047f96257e4c379e921de6c840fa46b5ab8b1","observation_id":"b403f5ba-0d12-4401-9d3c-3fb0819477fe","resolution":{"observed_at":"2026-08-15T23:31:41.175710Z","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":"2026-08-15T23:31:41.163393Z","title":null,"venue":null,"work_id":"ec261c1c-0eb4-4c1d-adb1-2578cc6631d3","year":2019},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.802788Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:33a4e0d8c1badc044b7699b5921762091c9c098ae5e2a0ee5735ed8f25ce91ac","observation_id":"84fa9832-7c63-4fdb-aa13-8e0b269a8e0c","resolution":{"observed_at":"2026-08-15T23:31:41.166574Z","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":"2026-08-15T23:31:41.152441Z","title":null,"venue":null,"work_id":"a223699b-215e-45c9-9ab0-890a39d2c9b6","year":2022},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.806148Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:143ab76ba885422e7d225005a15127b34de12e520889066fbf1f253e12e91822","observation_id":"5d9d4b95-2193-43a9-828a-bb549f4139c0","resolution":{"observed_at":"2026-08-15T23:31:41.156598Z","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":"2026-08-15T23:31:41.141574Z","title":null,"venue":null,"work_id":"81df77ca-2dea-446b-a305-8926e403f449","year":2016},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.809674Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:d524c3fdb2b55fa20e90c63fa15f65887f5b2598d27a802154454a4a2dab3f9d","observation_id":"02b34d9e-c388-4797-8a59-b4f847b026b2","resolution":{"observed_at":"2026-08-15T23:31:41.145264Z","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":{"arxiv_id":"2606.29866","last_updated":"2026-06-29T07:01:44Z","snapshot_observed_at":"2026-08-20T04:44:15.896132Z","submitted_at":"2026-06-29T07:01:44Z","title":"Characterization of the alternating and symmetric groups by the order and conjugacy class sizes","version":1},"cited_work":{"arxiv_id":"2606.29866","doi":null,"metadata_source":"pith","pith_arxiv_id":"2606.29866","snapshot_observed_at":"2026-08-15T23:31:40.939089Z","title":"Characterization of the alternating and symmetric groups by the order and conjugacy class sizes","venue":"math.GR","work_id":"9565e4b1-a24c-4320-adf7-39cd45604e5c","year":2026},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.812748Z"},"links":{"cited_paper":"/paper/2606.29866","citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:93d688ea796749794d0003d3b6de029345ed9fc869e74e0b82eceb7ca5f109d8","observation_id":"9deffc2d-754b-48c2-890f-804cdec01e98","resolution":{"observed_at":"2026-08-15T23:31:40.943218Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"2026-08-15T23:31:41.132442Z","title":null,"venue":null,"work_id":"2f339435-5265-4121-adac-14c554bd7bd2","year":2025},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.817324Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:e52e353ae80d7dc2fc3fa4f9766ab504a1b5c1552ca19284dbe4d99e69552699","observation_id":"fad9e95f-ab46-4af6-b00a-d9789eaf7120","resolution":{"observed_at":"2026-08-15T23:31:41.135588Z","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":"2026-08-15T23:31:41.122644Z","title":null,"venue":null,"work_id":"c5acd17b-ade2-434f-8b0e-ae1bc8e76521","year":2026},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.820768Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:cde1a9db655c0dd579eb5a3e99f67278d4349d7773e6a302ab5c5fe125cb250b","observation_id":"4c1c941a-d488-4c7d-aff4-0a20a4cd8af9","resolution":{"observed_at":"2026-08-15T23:31:41.125912Z","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":"2026-08-15T23:31:41.112670Z","title":"Heydari, N","venue":null,"work_id":"3dcd5646-6210-448b-964d-cc5a1e4fd87b","year":2017},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.823853Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:9e91aaf0199d9bb0c4a57baf90c12ced2e75e9ebd96d1d276818b74d2edfea49","observation_id":"9f99ab9d-bfa1-4302-8dd1-4c8aa31d0df9","resolution":{"observed_at":"2026-08-15T23:31:41.116304Z","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":"2026-08-15T23:31:41.103048Z","title":"Huppert, Some simple groups which are determined by the set of their character degrees","venue":null,"work_id":"38c8b4bb-be31-41e8-a063-e7a81d89977d","year":2000},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.827041Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:947c8d7a99f47f6dc40ee8f9e28c439dc02ae0c857f20272e018ab0315ff829b","observation_id":"aab75774-4701-4493-991c-1924bcdb511e","resolution":{"observed_at":"2026-08-15T23:31:41.106443Z","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":"2026-08-15T23:31:41.092959Z","title":null,"venue":null,"work_id":"3090e152-2baf-40c1-98d1-a07f7e3dc33c","year":2015},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.830275Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:ab9026e6c5d9a24c9bbea9944d676ee9fc55c15b27cdcb6e674f3c39d6ba487e","observation_id":"bce8b830-ae09-4ed4-8719-5b56cffe2bf0","resolution":{"observed_at":"2026-08-15T23:31:41.096450Z","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":{"arxiv_id":"1401.0300","last_updated":"2026-07-03T12:42:39Z","snapshot_observed_at":"2026-08-14T23:49:48.904982Z","submitted_at":"2014-01-01T16:03:00Z","title":"Unsolved Problems in Group Theory. The Kourovka Notebook","version":45},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1401.0300","snapshot_observed_at":"2026-08-15T23:31:40.833644Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.833644Z"},"links":{"cited_paper":"/paper/1401.0300","citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:8d7484e39a3f28e6ad28928984bc5e0753f24209d03fded41fc1356c9b0df1bd","observation_id":"da888421-2f41-4d90-bf71-e5df974ef10d","resolution":{"observed_at":"2026-08-15T23:31:40.833644Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T23:31:41.082508Z","title":"Kimmerle, F","venue":null,"work_id":"6a5633dc-8383-405e-a0b4-3679bec6a5fd","year":2008},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.837606Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:7db8b11a58ea31a88e70ea88cbbd12abf5fc116f27e0a2a39335fa1fa2789b14","observation_id":"a8042cc3-c721-4f34-acca-1c7cbce51f90","resolution":{"observed_at":"2026-08-15T23:31:41.086775Z","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":{"arxiv_id":"2408.07732","last_updated":"2024-08-14T17:35:57Z","snapshot_observed_at":"2026-08-16T13:26:25.872951Z","submitted_at":"2024-08-14T17:35:57Z","title":"A note about solvable and non-solvable finite groups of the same order type","version":1},"cited_work":{"arxiv_id":"2408.07732","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.07732","snapshot_observed_at":"2026-08-15T23:31:40.912967Z","title":"A note about solvable and non-solvable finite groups of the same order type","venue":"math.GR","work_id":"424811d0-0474-4aa2-9947-90c882157087","year":2024},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.841253Z"},"links":{"cited_paper":"/paper/2408.07732","citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:139b9800f9d2bba78f4ccd19c4d3abf00448943b7a10a63296e7a9af71e67ff1","observation_id":"c278d7b3-2f0a-4b85-b77c-efbe8c2e75c3","resolution":{"observed_at":"2026-08-15T23:31:40.918657Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"2026-08-15T23:31:41.071701Z","title":"Piwek, Solvable and non-solvable finite groups of the same order type, Alg","venue":null,"work_id":"3956ba96-f169-4b78-b147-a0a16667a58c","year":2025},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.844696Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:1524cb93ce1defded450a9aa478fecc709c8580060e7aaf6a29dd73060e2d407","observation_id":"42ea62cc-7ff9-4496-8bea-c9db18e9ed94","resolution":{"observed_at":"2026-08-15T23:31:41.076046Z","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":"2026-08-15T23:31:41.061843Z","title":"Shirjian, A","venue":null,"work_id":"b59af800-1867-44a6-b1a4-bf85378de4b0","year":2017},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.847904Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:9ceb8bd87ac87d91ff0a060b658b746dc11a14d0d4af834970b40deae8cca950","observation_id":"ec18b75e-3e62-4d7f-a0ea-b651c40de1c0","resolution":{"observed_at":"2026-08-15T23:31:41.065172Z","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":"2026-08-15T23:31:41.052145Z","title":"Shirjian, A","venue":null,"work_id":"0a6972df-809e-4a0f-9e3f-4562dadf3527","year":2022},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.851024Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:892ea7cddff5331709c3e430071d9b641ecfdd3255c3391164a46387031f1e75","observation_id":"6fe1f8d2-6979-4176-b875-f7c62252f9c1","resolution":{"observed_at":"2026-08-15T23:31:41.055495Z","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":"2026-08-15T23:31:41.041888Z","title":"Shirjian, A","venue":null,"work_id":"1350bc10-9186-4d3c-8605-e995c4d2fe95","year":2020},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.854407Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:1ca5a60364e9cc279b548b68c5d61d0eedc352f509734fda02ace1e96d7b0de3","observation_id":"1a956d43-9346-4009-9e75-a285e29a4268","resolution":{"observed_at":"2026-08-15T23:31:41.045415Z","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":"2026-08-15T23:31:41.031054Z","title":"Shirjian, A","venue":null,"work_id":"4e87cff2-36e2-42c3-9551-d0e0320da71a","year":2020},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.857676Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:f591d401d0980588311e3590161866fb56a282edc25b11f6b64b32f0dd53662f","observation_id":"233812bc-ba09-46ae-a9fb-cd256398f491","resolution":{"observed_at":"2026-08-15T23:31:41.035432Z","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":"2026-08-15T23:31:41.021095Z","title":null,"venue":null,"work_id":"a026a76f-63c5-47bd-ae18-b41512a6fc12","year":2012},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.861092Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:7b105bb27e5036c6b30bd220864af9812320d3a3b5129673e56b743e05690a71","observation_id":"67fe9aad-1b4c-4ef9-ac2c-1a19d3002b08","resolution":{"observed_at":"2026-08-15T23:31:41.024294Z","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":"2026-08-15T23:31:41.011370Z","title":null,"venue":null,"work_id":"0f727f6d-4019-4c9b-8431-7cc00470e588","year":2011},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.864504Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:373a2fe3c616632dac2f6e194ac4400ab489a96ee5230e5b4693dfa24bd56896","observation_id":"601f8dc3-7085-4323-b0a7-2b1002a85de4","resolution":{"observed_at":"2026-08-15T23:31:41.014624Z","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":"2026-08-15T23:31:41.001643Z","title":null,"venue":null,"work_id":"127d01da-443f-4726-95b8-d83b301b10bd","year":2012},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.867646Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:bf7296de675dde628e495af3d1a22ea568a6486e164163b326827eb02be51372","observation_id":"368bdf54-8067-4afc-be5b-37a1f3d9135a","resolution":{"observed_at":"2026-08-15T23:31:41.005189Z","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":"2026-08-15T23:31:40.991237Z","title":null,"venue":null,"work_id":"e6382e73-884c-4862-810a-39634432be96","year":2012},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.870845Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:b00fd71647c1cc583b6bfedfa99d4c15c7dda69c7ade622e75f08e113a71f5a8","observation_id":"ac455270-4337-456d-ab6e-2691b51e1f13","resolution":{"observed_at":"2026-08-15T23:31:40.994842Z","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":"2026-08-15T23:31:40.981539Z","title":null,"venue":null,"work_id":"2bef2639-9879-424d-99a8-e30ccf16ab97","year":2025},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.874299Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:a17ccdcbc308c5c853fefeb997719b09a3e26d21dd11d44a42b6448ebd43e080","observation_id":"9c5d5d0a-b2ab-4f10-addd-88b2bca0cfa8","resolution":{"observed_at":"2026-08-15T23:31:40.984899Z","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":"2026-08-15T23:31:40.970485Z","title":"Shi, Quantitative characterization of finite simple groups: a complement, Int","venue":null,"work_id":"6b471ef3-8ef6-4484-a470-6c493826f2d4","year":2025},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.877562Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:78823f9d58860f09d7369e27dbd1a99bb1d11847774fa4ce1f9599b7b7e65760","observation_id":"130bfc27-0fc7-4c3e-98da-f1d66d498a32","resolution":{"observed_at":"2026-08-15T23:31:40.974476Z","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":"2026-08-15T23:31:40.960324Z","title":null,"venue":null,"work_id":"2cb99c9b-fc42-4202-8b99-ac07da6b9734","year":2009},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.880896Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:2fdb380741dab538494c24ecc9a21cbe63412703455e135adf73572fb73819bd","observation_id":"9cea3bca-17e2-4973-b3b1-710964e0c62b","resolution":{"observed_at":"2026-08-15T23:31:40.963715Z","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":"2026-08-15T23:31:40.949957Z","title":"Yoshida, On the Burnside rings of finite groups and finite categories, pp","venue":null,"work_id":"b539b9fa-0aa5-4f48-90b3-56852dc18985","year":1987},"citing_paper":{"arxiv_id":"2608.12783","last_updated":"2026-08-13T03:45:30Z","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:40.884097Z"},"links":{"citing_paper":"/paper/2608.12783"},"observation_digest":"sha256:06a1251f535cdcda03b95599a4fa1fb240d2a0da6a5c2f7036e12b2bed4f8f95","observation_id":"d727ecaa-8484-4c8b-bea9-39c658c6abea","resolution":{"observed_at":"2026-08-15T23:31:40.953491Z","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":"2608.12783","last_updated":"2026-08-13T03:45:30Z","latest_version":1,"primary_category":"math.GR","snapshot_observed_at":"2026-08-21T16:19:41.695081Z","submitted_at":"2026-08-13T03:45:30Z","title":"Arithmetic invariants for finite simple and related groups"},"reference_resolution":{"displayed":35,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":19,"verified_exact":2,"verified_fuzzy":14},"total_outbound_references":35},"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 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2608.12783."}