{"as_of":"2026-08-19T11:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b4f2b509141f0191df11150f379bc7469d6eb84055b4a75210f65c50e434a79e","coverage":[{"denominator":16,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":16,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T11:12:54.654728Z","state":"measured"},{"denominator":16,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":16,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+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/1908.10185/citation-record","integrity":"/paper/1908.10185/integrity","json":"/paper/1908.10185/citation-record.json","paper":"/paper/1908.10185"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:12:54.845633Z","title":"Al-Ayyoub , An algorithm for computing the Ratliﬀ–Rush closure , Journal of Algebra and its Applications, 8 (2009), pp","venue":null,"work_id":"94cf68ee-836c-4a6c-b9c4-34cc57e6f33a","year":2009},"citing_paper":{"arxiv_id":"1908.10185","last_updated":"2019-08-27T13:31:22Z","snapshot_observed_at":"2026-08-18T07:37:24.665549Z","submitted_at":"2019-08-27T13:31:22Z","title":"Powers of monomial ideals and the Ratliff-Rush operation","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T11:12:54.597295Z"},"links":{"citing_paper":"/paper/1908.10185"},"observation_digest":"sha256:6c3e1271d5b110f40978dba763e3b5699b676cfe256651389658fba4c93ecffa","observation_id":"d8b8436b-92ca-43d9-b35a-8f994a5c4c40","resolution":{"observed_at":"2026-08-14T11:12:54.850028Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-14T11:12:54.835137Z","title":"Al-Ayyoub and O","venue":null,"work_id":"403b89b8-597e-4f40-8ea9-787e46de5f15","year":2012},"citing_paper":{"arxiv_id":"1908.10185","last_updated":"2019-08-27T13:31:22Z","snapshot_observed_at":"2026-08-18T07:37:24.665549Z","submitted_at":"2019-08-27T13:31:22Z","title":"Powers of monomial ideals and the Ratliff-Rush operation","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T11:12:54.602194Z"},"links":{"citing_paper":"/paper/1908.10185"},"observation_digest":"sha256:2f25f6edfcf6ec53a548c72b0ce3bec365b7fd19fc150523d9175376e8104fbd","observation_id":"19dcca79-4395-4b6f-afd9-8a9ecc22161e","resolution":{"observed_at":"2026-08-14T11:12:54.838931Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-14T11:12:54.824281Z","title":"Decker, G.-M","venue":null,"work_id":"dcc90732-c46b-4f5b-bafb-40ef789981a7","year":2019},"citing_paper":{"arxiv_id":"1908.10185","last_updated":"2019-08-27T13:31:22Z","snapshot_observed_at":"2026-08-18T07:37:24.665549Z","submitted_at":"2019-08-27T13:31:22Z","title":"Powers of monomial ideals and the Ratliff-Rush operation","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T11:12:54.605959Z"},"links":{"citing_paper":"/paper/1908.10185"},"observation_digest":"sha256:453b40ae11441a6468906fb27d9bd5296221af684eae6f08403d7e3438886d16","observation_id":"98b1994b-cbb3-4d30-b3cb-136ebcffd733","resolution":{"observed_at":"2026-08-14T11:12:54.827967Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-14T11:12:54.609840Z","title":"Eliahou, J","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.10185","last_updated":"2019-08-27T13:31:22Z","snapshot_observed_at":"2026-08-18T07:37:24.665549Z","submitted_at":"2019-08-27T13:31:22Z","title":"Powers of monomial ideals and the Ratliff-Rush operation","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T11:12:54.609840Z"},"links":{"citing_paper":"/paper/1908.10185"},"observation_digest":"sha256:c8a9c1f3e724d63dc4fc7ed78c2a3c48438d26e0e4b792a4f3035829a1682fdf","observation_id":"80b38667-e9d6-4e60-aa20-1ace628a9c6e","resolution":{"observed_at":"2026-08-14T11:12:54.609840Z","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":"2026-08-14T11:12:54.806203Z","title":"Elias , On the computation of the Ratliﬀ–Rush closure , Journal of Symbolic Com- putation, 37 (2004), pp","venue":null,"work_id":"9e6e27ca-fdcf-4968-8ac6-0fc8ae45e56f","year":2004},"citing_paper":{"arxiv_id":"1908.10185","last_updated":"2019-08-27T13:31:22Z","snapshot_observed_at":"2026-08-18T07:37:24.665549Z","submitted_at":"2019-08-27T13:31:22Z","title":"Powers of monomial ideals and the Ratliff-Rush operation","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T11:12:54.614540Z"},"links":{"citing_paper":"/paper/1908.10185"},"observation_digest":"sha256:edd47d8b87b95b0e8badd78e04b8047e7de2d5dbb1ef2e5a78a8a5f05d7d1659","observation_id":"a71a9bf8-1d25-4871-af87-70cfeec8df32","resolution":{"observed_at":"2026-08-14T11:12:54.809929Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-14T11:12:54.796413Z","title":"Heinzer, B","venue":null,"work_id":"c67360ec-9b23-4892-a22d-41544a21b523","year":1993},"citing_paper":{"arxiv_id":"1908.10185","last_updated":"2019-08-27T13:31:22Z","snapshot_observed_at":"2026-08-18T07:37:24.665549Z","submitted_at":"2019-08-27T13:31:22Z","title":"Powers of monomial ideals and the Ratliff-Rush operation","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T11:12:54.619152Z"},"links":{"citing_paper":"/paper/1908.10185"},"observation_digest":"sha256:8788501bf89605782102ce4893bd835c6c9252b6c7b6a99db832eef808fd8d07","observation_id":"2fe1e3d5-eae3-4e13-abc3-b9f5088b3f24","resolution":{"observed_at":"2026-08-14T11:12:54.799809Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-14T11:12:54.786829Z","title":"Heinzer, D","venue":null,"work_id":"391ab2bf-1185-494f-b69e-c64769b37561","year":1992},"citing_paper":{"arxiv_id":"1908.10185","last_updated":"2019-08-27T13:31:22Z","snapshot_observed_at":"2026-08-18T07:37:24.665549Z","submitted_at":"2019-08-27T13:31:22Z","title":"Powers of monomial ideals and the Ratliff-Rush operation","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T11:12:54.623094Z"},"links":{"citing_paper":"/paper/1908.10185"},"observation_digest":"sha256:63afc97d7d0abbb8f158987226575761da4277f80ee252260989dcb6d175c835","observation_id":"7676c748-29f1-4112-92c2-9a1d63a1a852","resolution":{"observed_at":"2026-08-14T11:12:54.790184Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1707.07302","last_updated":"2017-08-02T07:49:15Z","snapshot_observed_at":"2026-08-17T17:50:21.207836Z","submitted_at":"2017-07-23T14:13:49Z","title":"On the number of generators of powers of an ideal","version":3},"cited_work":{"arxiv_id":"1707.07302","doi":null,"metadata_source":"pith","pith_arxiv_id":"1707.07302","snapshot_observed_at":"2026-08-14T11:12:54.701052Z","title":"On the number of generators of powers of an ideal","venue":"math.AC","work_id":"90aaf7c9-069b-459f-bf57-a5a07f3ebde9","year":2017},"citing_paper":{"arxiv_id":"1908.10185","last_updated":"2019-08-27T13:31:22Z","snapshot_observed_at":"2026-08-18T07:37:24.665549Z","submitted_at":"2019-08-27T13:31:22Z","title":"Powers of monomial ideals and the Ratliff-Rush operation","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T11:12:54.626436Z"},"links":{"cited_paper":"/paper/1707.07302","citing_paper":"/paper/1908.10185"},"observation_digest":"sha256:a69f78ead1a14caca888fa792cbd75dde246b8cd1641b31684b5f0b1e83de973","observation_id":"7fd3c807-feae-44af-91f2-3515cf5b4867","resolution":{"observed_at":"2026-08-14T11:12:54.705008Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-14T11:12:54.777215Z","title":"Herzog and G","venue":null,"work_id":"265c85db-57ca-4a7d-a6a8-db9493761b00","year":2019},"citing_paper":{"arxiv_id":"1908.10185","last_updated":"2019-08-27T13:31:22Z","snapshot_observed_at":"2026-08-18T07:37:24.665549Z","submitted_at":"2019-08-27T13:31:22Z","title":"Powers of monomial ideals and the Ratliff-Rush operation","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T11:12:54.630466Z"},"links":{"citing_paper":"/paper/1908.10185"},"observation_digest":"sha256:777b2cea82a5d14d2871b3673d476bd889a2562e63307aea85d0ab895a2d7d27","observation_id":"6752fdf9-4d79-488a-8e94-b3e49d818a09","resolution":{"observed_at":"2026-08-14T11:12:54.780698Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-14T11:12:54.766969Z","title":"K ¨allstr¨om, Liftable derivations for generically separably algebraic morphisms of schemes, Transactions of the American Mathematical Society, 361 (2009) , pp","venue":null,"work_id":"580547ed-a35b-4041-8617-b117c0d47661","year":2009},"citing_paper":{"arxiv_id":"1908.10185","last_updated":"2019-08-27T13:31:22Z","snapshot_observed_at":"2026-08-18T07:37:24.665549Z","submitted_at":"2019-08-27T13:31:22Z","title":"Powers of monomial ideals and the Ratliff-Rush operation","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T11:12:54.633590Z"},"links":{"citing_paper":"/paper/1908.10185"},"observation_digest":"sha256:ea251bcfa131e7ca3d51fd1b248a1f2a6b04a9ee44f54922a0d1f47b703eee3b","observation_id":"fc74edc3-2e9c-467b-ac36-f57a1ff8c3e2","resolution":{"observed_at":"2026-08-14T11:12:54.770944Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-14T11:12:54.757219Z","title":null,"venue":null,"work_id":"eeaa9a80-7b46-4d8a-bfec-1cd50e5c48e8","year":2013},"citing_paper":{"arxiv_id":"1908.10185","last_updated":"2019-08-27T13:31:22Z","snapshot_observed_at":"2026-08-18T07:37:24.665549Z","submitted_at":"2019-08-27T13:31:22Z","title":"Powers of monomial ideals and the Ratliff-Rush operation","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T11:12:54.637273Z"},"links":{"citing_paper":"/paper/1908.10185"},"observation_digest":"sha256:2bc7de25a879fea8ad591dead7390d0835696720814a7c753fd08849b59fc739","observation_id":"e7addf63-60e1-4afe-93d6-24d2ed7e6fad","resolution":{"observed_at":"2026-08-14T11:12:54.760629Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-14T11:12:54.745627Z","title":null,"venue":null,"work_id":"8665e9ab-1d7f-4014-a6d1-a424b6bed11f","year":2007},"citing_paper":{"arxiv_id":"1908.10185","last_updated":"2019-08-27T13:31:22Z","snapshot_observed_at":"2026-08-18T07:37:24.665549Z","submitted_at":"2019-08-27T13:31:22Z","title":"Powers of monomial ideals and the Ratliff-Rush operation","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T11:12:54.640923Z"},"links":{"citing_paper":"/paper/1908.10185"},"observation_digest":"sha256:28df1758825dd74a4ba80e51fc4d4c4a5b617d974561b7d46bac459b21a5e62a","observation_id":"1cf16ad1-a15c-449f-abea-0c15ec97dcb4","resolution":{"observed_at":"2026-08-14T11:12:54.750066Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-14T11:12:54.734455Z","title":null,"venue":null,"work_id":"985b0820-911a-447c-9d6c-2ca8cb9cac83","year":1978},"citing_paper":{"arxiv_id":"1908.10185","last_updated":"2019-08-27T13:31:22Z","snapshot_observed_at":"2026-08-18T07:37:24.665549Z","submitted_at":"2019-08-27T13:31:22Z","title":"Powers of monomial ideals and the Ratliff-Rush operation","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T11:12:54.644729Z"},"links":{"citing_paper":"/paper/1908.10185"},"observation_digest":"sha256:8d7d8156dffb3c392bd6bd61c8568a707ea665c75ed2fdaa20b0e43683ceea66","observation_id":"0a2f7aac-e5b5-4d5c-80e0-a606ff49570f","resolution":{"observed_at":"2026-08-14T11:12:54.738282Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-14T11:12:54.723455Z","title":null,"venue":null,"work_id":"ed6d5de1-5525-4ace-a85e-0fee1df31130","year":2001},"citing_paper":{"arxiv_id":"1908.10185","last_updated":"2019-08-27T13:31:22Z","snapshot_observed_at":"2026-08-18T07:37:24.665549Z","submitted_at":"2019-08-27T13:31:22Z","title":"Powers of monomial ideals and the Ratliff-Rush operation","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T11:12:54.648160Z"},"links":{"citing_paper":"/paper/1908.10185"},"observation_digest":"sha256:70db368ed5f3cc67ba66e2612c285bf2d183169740bdf3ce8f82d9f7dbb5f13d","observation_id":"c01382d7-ad5f-4092-b03a-0f90237019a4","resolution":{"observed_at":"2026-08-14T11:12:54.727054Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-14T11:12:54.712178Z","title":null,"venue":null,"work_id":"43a4d2df-4004-4014-83bd-8150db1a6a4f","year":2018},"citing_paper":{"arxiv_id":"1908.10185","last_updated":"2019-08-27T13:31:22Z","snapshot_observed_at":"2026-08-18T07:37:24.665549Z","submitted_at":"2019-08-27T13:31:22Z","title":"Powers of monomial ideals and the Ratliff-Rush operation","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T11:12:54.651537Z"},"links":{"citing_paper":"/paper/1908.10185"},"observation_digest":"sha256:dd55a846a1e9e3133511b5903c59f48fb5dc0ca84669908e2823379b60099499","observation_id":"8a6d363b-5e11-4643-a798-1866aa227797","resolution":{"observed_at":"2026-08-14T11:12:54.715792Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1904.07484","last_updated":"2019-04-16T06:05:00Z","snapshot_observed_at":"2026-08-14T16:45:57.664628Z","submitted_at":"2019-04-16T06:05:00Z","title":"On the computation of Castelnuovo-Mumford regularity of the Rees algebra and of the fiber ring","version":1},"cited_work":{"arxiv_id":"1904.07484","doi":null,"metadata_source":"pith","pith_arxiv_id":"1904.07484","snapshot_observed_at":"2026-08-14T11:12:54.683961Z","title":"On the computation of Castelnuovo-Mumford regularity of the Rees algebra and of the fiber ring","venue":"math.AC","work_id":"5bee3179-a130-4c4b-825d-77ec387b1d35","year":2019},"citing_paper":{"arxiv_id":"1908.10185","last_updated":"2019-08-27T13:31:22Z","snapshot_observed_at":"2026-08-18T07:37:24.665549Z","submitted_at":"2019-08-27T13:31:22Z","title":"Powers of monomial ideals and the Ratliff-Rush operation","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T11:12:54.654728Z"},"links":{"cited_paper":"/paper/1904.07484","citing_paper":"/paper/1908.10185"},"observation_digest":"sha256:e676ad70644f6dfde2724fcd0fec31e27bc2c431c5085785b1648c790e6f7652","observation_id":"33e3579b-d1b8-4507-8a41-5a09923a280c","resolution":{"observed_at":"2026-08-14T11:12:54.690072Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.10185","last_updated":"2019-08-27T13:31:22Z","latest_version":1,"primary_category":"math.AC","snapshot_observed_at":"2026-08-18T07:37:24.665549Z","submitted_at":"2019-08-27T13:31:22Z","title":"Powers of monomial ideals and the Ratliff-Rush operation"},"reference_resolution":{"displayed":16,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":2,"verified_fuzzy":8},"total_outbound_references":16},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:1908.10185."}