{"as_of":"2026-08-16T10:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5b63ed9355c7dcdc48a50b3e8c2d215a641161235863ba4eb62930d60f54d4c3","coverage":[{"denominator":24,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":24,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T12:48:27.057713Z","state":"measured"},{"denominator":24,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":24,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1908.06833/citation-record","integrity":"/paper/1908.06833/integrity","json":"/paper/1908.06833/citation-record.json","paper":"/paper/1908.06833"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:48:28.620869Z","title":null,"venue":null,"work_id":"9c70ff44-06bc-4071-bd3b-a1d1565b16fb","year":1944},"citing_paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T12:48:26.202032Z"},"links":{"citing_paper":"/paper/1908.06833"},"observation_digest":"sha256:02ae73203c10842da6f4f2b9c1cf6204657d1dc122d591721d7537fdc9536436","observation_id":"3db7b612-7adf-41d4-8e83-d397a33f36a7","resolution":{"observed_at":"2026-08-14T12:48:28.625993Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:48:28.602207Z","title":null,"venue":null,"work_id":"c0367b34-8d41-4464-8bc1-2aa0001bc3ec","year":1972},"citing_paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T12:48:26.226477Z"},"links":{"citing_paper":"/paper/1908.06833"},"observation_digest":"sha256:ea59fc11963d17624f3e4ff7836e2cedfc99e2c7de5a26c9ea288dc06a047764","observation_id":"2afd49b6-150c-409a-839c-cabd3d85a0fb","resolution":{"observed_at":"2026-08-14T12:48:28.609109Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:48:28.582940Z","title":null,"venue":null,"work_id":"3b9a080d-2f19-4dbe-8f02-a9cc8b23a342","year":1972},"citing_paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T12:48:26.368339Z"},"links":{"citing_paper":"/paper/1908.06833"},"observation_digest":"sha256:fbe3ef7047caa76bd3e534b992508393632f28747bb7978eb60ccdd9ab1f8daa","observation_id":"308fd816-c511-4953-9c61-b4f96f9b8af3","resolution":{"observed_at":"2026-08-14T12:48:28.589534Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:48:28.535061Z","title":"Birkhoﬀ and S","venue":null,"work_id":"1c1949b2-3689-4515-9665-678847470b76","year":1965},"citing_paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T12:48:26.475639Z"},"links":{"citing_paper":"/paper/1908.06833"},"observation_digest":"sha256:751f6de87a050a720f10a6749b466e4df4724cbd81ab1ed94d7bd93d9237330b","observation_id":"b1ea1e61-c541-4d24-bc63-7cdb519e52ec","resolution":{"observed_at":"2026-08-14T12:48:28.571248Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:48:28.335037Z","title":null,"venue":null,"work_id":"880c156a-4da3-453a-b168-4cee1a9e3b83","year":1971},"citing_paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T12:48:26.481851Z"},"links":{"citing_paper":"/paper/1908.06833"},"observation_digest":"sha256:0b2263d4a26fe26bb8841b36e5a79f3dbe1b7c3684abd3e5bd6d7d582dcfac9c","observation_id":"cd3b661e-0f0a-4553-8ea7-609867c40ebc","resolution":{"observed_at":"2026-08-14T12:48:28.430437Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:48:28.278538Z","title":null,"venue":null,"work_id":"31168587-d79c-4501-8318-749c4b1c3406","year":1985},"citing_paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T12:48:26.487843Z"},"links":{"citing_paper":"/paper/1908.06833"},"observation_digest":"sha256:3cb297223773030fb6b1ce8ef063d869d854546cb4d00f284dd1736b11b476af","observation_id":"34c511fc-8307-467b-9449-49a33760d218","resolution":{"observed_at":"2026-08-14T12:48:28.283968Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:48:28.260776Z","title":"Geiselmann and F","venue":null,"work_id":"33a507a5-1b45-4f39-92bb-13e8b9dae662","year":null},"citing_paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T12:48:26.494771Z"},"links":{"citing_paper":"/paper/1908.06833"},"observation_digest":"sha256:267e14dc466e759cf82dcfd7d1fdedccf6f647e7a0b1ba7a03bec5483ffd151a","observation_id":"23bc9110-66d2-4129-93da-031087a68861","resolution":{"observed_at":"2026-08-14T12:48:28.266669Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:48:28.131947Z","title":null,"venue":null,"work_id":"bc9478fe-7462-40d5-a815-26417e4af2ed","year":1986},"citing_paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T12:48:26.501760Z"},"links":{"citing_paper":"/paper/1908.06833"},"observation_digest":"sha256:16944eacfd7c495b2f11e387db76af327a06b0a684d28885a4dfecefe51b6cb9","observation_id":"8842fa46-b561-4d47-a4fe-69331c7e1b21","resolution":{"observed_at":"2026-08-14T12:48:28.248861Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:48:28.112720Z","title":null,"venue":null,"work_id":"439de3b8-42ea-4441-b158-640d02b573fd","year":1988},"citing_paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T12:48:26.508775Z"},"links":{"citing_paper":"/paper/1908.06833"},"observation_digest":"sha256:f2fdf72cc4e71441f9d5cbd80bedf1c9cf4b139c6def90c5bb2340440702e88b","observation_id":"318cf6ad-4ccd-4ff0-ad39-62c1b5c68f19","resolution":{"observed_at":"2026-08-14T12:48:28.118764Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:48:28.093133Z","title":null,"venue":null,"work_id":"762e3ec6-4925-4ca9-a8bf-f50b5c559361","year":1994},"citing_paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T12:48:26.623491Z"},"links":{"citing_paper":"/paper/1908.06833"},"observation_digest":"sha256:767ef459e313ad9791d2aaf8c4756e01c453cb56ae837bc4e5511c9e48756822","observation_id":"96ce04b8-403c-44de-b2db-a59f51858807","resolution":{"observed_at":"2026-08-14T12:48:28.098349Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:48:27.900554Z","title":null,"venue":null,"work_id":"f8945366-ed61-4b05-bad4-2038cac78476","year":2005},"citing_paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T12:48:26.782769Z"},"links":{"citing_paper":"/paper/1908.06833"},"observation_digest":"sha256:631a57036c8fabe4e2a1ad5a7915ba37fa00510654e068a0f71e9c751c8ab7fc","observation_id":"744f664a-b613-407d-8509-621cbb6adfd1","resolution":{"observed_at":"2026-08-14T12:48:28.027389Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:48:27.825666Z","title":null,"venue":null,"work_id":"db4e3c45-780c-4b54-b030-d5121ff666ef","year":1995},"citing_paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T12:48:26.828003Z"},"links":{"citing_paper":"/paper/1908.06833"},"observation_digest":"sha256:3b4b5e0e71226992dfd80451d898b5b76e52239562c4a175f42f01468c278605","observation_id":"9382fb7c-de4d-4df1-aa61-1b689be172d2","resolution":{"observed_at":"2026-08-14T12:48:27.830676Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:48:27.805066Z","title":"Lidl and H","venue":null,"work_id":"59fdcfac-12dc-4c67-aa1b-05746c1fb569","year":1983},"citing_paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T12:48:26.833248Z"},"links":{"citing_paper":"/paper/1908.06833"},"observation_digest":"sha256:2260d761617cef42eeb7fc9dece7c3b1a6f6d2b21edcc81f7dee6328a285124f","observation_id":"a79c7c90-95af-42fa-9df6-c5007983a76c","resolution":{"observed_at":"2026-08-14T12:48:27.812166Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:48:27.765343Z","title":"Mart ´ ınez-Pe˜ nas","venue":null,"work_id":"6eaab679-6ff1-44ef-881a-672b16caff05","year":2018},"citing_paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T12:48:26.839056Z"},"links":{"citing_paper":"/paper/1908.06833"},"observation_digest":"sha256:fa64179918048ffbd4da41b0804920a7cd52284f54377e5c5335560de6e2eb13","observation_id":"d9295398-36fb-4f6d-8f98-73bb812dcc7b","resolution":{"observed_at":"2026-08-14T12:48:27.790964Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:48:26.844822Z","title":"Mart ´ ınez-Pe˜ nas","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T12:48:26.844822Z"},"links":{"citing_paper":"/paper/1908.06833"},"observation_digest":"sha256:c4e826d0609e3089cba5bb719255739b2f2a3fb7899f295dde648cbf72c32e95","observation_id":"e734a859-8e77-4fa1-a104-af0b881ebc35","resolution":{"observed_at":"2026-08-14T12:48:26.844822Z","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":"2026-08-14T12:48:27.675646Z","title":"Mart ´ ınez-Pe˜ nas and F","venue":null,"work_id":"f8cd7a51-c47c-442e-8edc-fccc9e3bc5a4","year":2019},"citing_paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T12:48:26.850047Z"},"links":{"citing_paper":"/paper/1908.06833"},"observation_digest":"sha256:b2b98d8db9677f73904850de2a6132f997d9ae68849ae233cd13778261cdb558","observation_id":"e4603603-2f43-4e4d-b4d9-3f35569f40e0","resolution":{"observed_at":"2026-08-14T12:48:27.681434Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:48:27.656367Z","title":null,"venue":null,"work_id":"db5b144a-735a-49bc-b7b8-a2b7fcc66681","year":2013},"citing_paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T12:48:26.855847Z"},"links":{"citing_paper":"/paper/1908.06833"},"observation_digest":"sha256:3e4aad8d9171fe79a36f8a04d78b54986b20403548ad56c29a2ffff4718bf3cc","observation_id":"cbcdc430-a4c0-44b8-af19-8159fca09b00","resolution":{"observed_at":"2026-08-14T12:48:27.661570Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:48:27.579650Z","title":null,"venue":null,"work_id":"14250b29-ddee-4420-96c8-11fa7b3f9e12","year":null},"citing_paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T12:48:26.861634Z"},"links":{"citing_paper":"/paper/1908.06833"},"observation_digest":"sha256:d1fadaecd89f7435b0886d78ede79d0e2838c52381c8e114b7a376f2adb00a2c","observation_id":"00203227-7440-46c7-8d59-04b460bb001c","resolution":{"observed_at":"2026-08-14T12:48:27.642544Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:48:27.496042Z","title":null,"venue":null,"work_id":"94aefd59-055c-4621-8dcc-e3d6c242d98c","year":1954},"citing_paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T12:48:26.921559Z"},"links":{"citing_paper":"/paper/1908.06833"},"observation_digest":"sha256:0b31f4eb5d40491ea0bfb41a696828fe5aa80a3fad1b1c5d7725d53f64ed055c","observation_id":"4768dabf-5d6a-45b2-9494-dffd45efaeaf","resolution":{"observed_at":"2026-08-14T12:48:27.502078Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:48:27.476038Z","title":null,"venue":null,"work_id":"53213f73-a6cd-46f8-8bac-e2eeb7985192","year":1933},"citing_paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T12:48:26.957406Z"},"links":{"citing_paper":"/paper/1908.06833"},"observation_digest":"sha256:2f28d7efd9fb08a2d00adda6f5143de76696e92a42cd54e487845b215f8c907b","observation_id":"48928188-a7a8-4c17-9b7b-1610ff76759f","resolution":{"observed_at":"2026-08-14T12:48:27.481403Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:48:27.432845Z","title":null,"venue":null,"work_id":"20338a6e-83ec-481f-b1e6-d6c53be77540","year":1933},"citing_paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T12:48:27.039803Z"},"links":{"citing_paper":"/paper/1908.06833"},"observation_digest":"sha256:ae90884f49929e91f53d80d11eb51ed1d0dc05d13b065b60b474bdf4f1019ddc","observation_id":"9acad4e2-8424-4fdd-aedd-8a8ed19a0134","resolution":{"observed_at":"2026-08-14T12:48:27.460812Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:48:27.252179Z","title":null,"venue":null,"work_id":"019568e6-ea97-485e-a61c-e78d73d4eb2e","year":1933},"citing_paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T12:48:27.046395Z"},"links":{"citing_paper":"/paper/1908.06833"},"observation_digest":"sha256:63a8791698ac8718ce65fbcd164415fc098fc8e09a5e48feef207350f95cd232","observation_id":"6d42d0f8-e0b7-4bb9-8092-97c7e6d88af8","resolution":{"observed_at":"2026-08-14T12:48:27.322996Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:48:27.221621Z","title":null,"venue":null,"work_id":"fe3ed97e-af7d-432c-a703-6136a8040897","year":1954},"citing_paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T12:48:27.051785Z"},"links":{"citing_paper":"/paper/1908.06833"},"observation_digest":"sha256:66d99c31e724d24b29179034d1d9e7ce51b7bd027988083db202cf04f9e37bf1","observation_id":"67fa80c0-1c86-4aa7-a620-8043c06ae0ad","resolution":{"observed_at":"2026-08-14T12:48:27.229763Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:48:27.092224Z","title":null,"venue":null,"work_id":"95e5b3e3-4825-4288-b2bb-9c172e283517","year":1927},"citing_paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T12:48:27.057713Z"},"links":{"citing_paper":"/paper/1908.06833"},"observation_digest":"sha256:acd8ee417d795e9eefb528c35f09db858248f3abfb61f98ea17cca695d4f6a53","observation_id":"201c60f8-6134-4c33-9457-97ae43e63fac","resolution":{"observed_at":"2026-08-14T12:48:27.144796Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.06833","last_updated":"2019-08-19T14:34:41Z","latest_version":1,"primary_category":"math.RA","snapshot_observed_at":"2026-08-14T12:30:56.361325Z","submitted_at":"2019-08-19T14:34:41Z","title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables"},"reference_resolution":{"displayed":24,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":19,"verified_exact":0,"verified_fuzzy":5},"total_outbound_references":24},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1908.06833."}