{"as_of":"2026-08-13T14:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a604f00d08e90eb1b306dbe595c189287285d7d1b1e5e283b959c1a106fcd539","coverage":[{"denominator":25,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":25,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T10:21:41.129521Z","state":"measured"},{"denominator":25,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":25,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2606.11467/citation-record","integrity":"/paper/2606.11467/integrity","json":"/paper/2606.11467/citation-record.json","paper":"/paper/2606.11467"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T10:21:41.129521Z","title":"Buchweitz,Contributions ` a la th´ eorie des singularit´ es, Th` ese d’´Etat, Paris VII (1981)","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:bd2160efc787d3df62921cb4f97056215d07cf77d63a55b89b55bbc150b925c2","observation_id":"de3d8697-453b-4a11-b791-644703b35bc5","resolution":{"observed_at":"2026-06-27T10:21:41.129521Z","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":"2512.01079","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-03T09:37:49.444383Z","title":"Chmiel, L","venue":null,"work_id":"85d3126e-ba29-4be1-8e67-df9a1120d1d9","year":2025},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:e3c991b4e3949525ab5a8c1894accda358a68d160b24a4279946c71d2a72205a","observation_id":"c3131831-d7ec-4fec-8485-e37331f501c1","resolution":{"observed_at":"2026-07-03T09:37:49.445627Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.08813","last_updated":"2025-03-11T18:48:39Z","snapshot_observed_at":"2026-08-11T21:20:55.354266Z","submitted_at":"2025-03-11T18:48:39Z","title":"Structure theorems for Gorenstein ideals of codimension four with small number of generators","version":1},"cited_work":{"arxiv_id":"2503.08813","doi":"10.48550/arxiv.2503.08813","metadata_source":"arxiv_reference","pith_arxiv_id":"2503.08813","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Structure theorems for","venue":"ArXiv.org","work_id":"f6da1507-d5d4-4213-86d6-9fe483d164f2","year":2025},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"cited_paper":"/paper/2503.08813","citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:340b37eb88591db1793769ae0a8becccc6afa2844d41231d2df63ca81e10c028","observation_id":"213ac608-0522-4194-bf3a-5224958b9c2d","resolution":{"observed_at":"2026-07-03T09:37:49.443236Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-27T10:21:41.129521Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:79b5ee52ff649e3b0b504bc5fd6b0aca52cc6b1724566d588d3a52a6b282b0cc","observation_id":"e8915367-b4e8-4fa1-85da-e7b7478a41fc","resolution":{"observed_at":"2026-06-27T10:21:41.129521Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T10:21:41.129521Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:3196c2c6e6a471ef7cdb60208b1a437e0fa8ccd9eb7dfd981221ca42835bce44","observation_id":"ed44fc4f-05af-4f76-88de-176b8661599e","resolution":{"observed_at":"2026-06-27T10:21:41.129521Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T10:21:41.129521Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:2050e4e80d7027ca53bfbf4ac709556bffd3c11b4f7e15ee98a7197c4e63c6d1","observation_id":"7fbfdf31-a9f8-475b-91fd-3f85af6a6a82","resolution":{"observed_at":"2026-06-27T10:21:41.129521Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T10:21:41.129521Z","title":"Gitler, E","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:95a878ee444ea0e2a9a92c4f3f15f7eb90837bf47b80d35f24b7e98f06bc70de","observation_id":"338d726a-3cd3-45de-9b33-140a449015f4","resolution":{"observed_at":"2026-06-27T10:21:41.129521Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T10:21:41.129521Z","title":"Grayson and M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:5b2dcb948c9525a7a027778b0d875294f8ab08a8efe7945672c8030bc6408d66","observation_id":"f26e4315-a2c2-4d7c-9523-c70dfdaed251","resolution":{"observed_at":"2026-06-27T10:21:41.129521Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.02380","last_updated":"2024-07-02T15:49:34Z","snapshot_observed_at":"2026-08-12T23:30:18.119075Z","submitted_at":"2024-07-02T15:49:34Z","title":"An ADE correspondence for grade three perfect ideals","version":1},"cited_work":{"arxiv_id":"2407.02380","doi":"10.48550/arxiv.2407.02380","metadata_source":"arxiv_reference","pith_arxiv_id":"2407.02380","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Guerrieri, X","venue":"arXiv (Cornell University)","work_id":"4191fa92-0b34-4f7d-9839-7e35aec678dd","year":2024},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"cited_paper":"/paper/2407.02380","citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:cd0e521a383d4de394703c02bf67dc7007c2bf41d12ccbc31b479d3f9b78d319","observation_id":"1ed527f9-a8f1-417c-8909-dd3f9dfc5ee1","resolution":{"observed_at":"2026-07-03T09:37:49.443896Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.09598","last_updated":"2025-06-11T10:56:55Z","snapshot_observed_at":"2026-08-11T21:21:14.603649Z","submitted_at":"2025-06-11T10:56:55Z","title":"Generic models of licci ideals parametrized by Schur functors","version":1},"cited_work":{"arxiv_id":"2506.09598","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.09598","snapshot_observed_at":"2026-07-03T09:37:49.439500Z","title":null,"venue":null,"work_id":"e6b16f8f-1947-46d6-a7dd-49a0573f3273","year":2025},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"cited_paper":"/paper/2506.09598","citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:6e569929ff442d696733520a6cb3b8e55c1967c67b70032d33dd96fd8e961a5b","observation_id":"6f9dafa1-2e03-4cdd-b539-148baa44bca1","resolution":{"observed_at":"2026-07-03T09:37:49.440930Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-27T10:21:41.129521Z","title":"Huneke, C","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:e3f0a8f76c2719a0ed72a8161050b7edffefcf4578241f02b06988b4014299c1","observation_id":"05a247ca-1a7d-4d8d-86e5-80aee8b2d909","resolution":{"observed_at":"2026-06-27T10:21:41.129521Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T10:21:41.129521Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:7299a2a51b5c734c83a0bbe4cbcee4a4d4bdd0fb95f8d7fd5db06523dd9ecb9d","observation_id":"ac32feff-5c9e-4b26-b23f-968661a62407","resolution":{"observed_at":"2026-06-27T10:21:41.129521Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T10:21:41.129521Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:d266142e49377d17369418f108285fcfbb8959e4e5df0d2f756e6140926875f0","observation_id":"de94590f-17c2-4f4f-8710-3964d06bf37b","resolution":{"observed_at":"2026-06-27T10:21:41.129521Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T10:21:41.129521Z","title":"Huneke and B","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:f34fdb69fc69981daad9ec9b368d8d97db080ddab7d3cfaa0faece2d38f45112","observation_id":"29de0366-d11e-4a29-bf6d-8d40c7be7a89","resolution":{"observed_at":"2026-06-27T10:21:41.129521Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T10:21:41.129521Z","title":"of Math.126(1987), 277–334","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:f3b72d7c52d3bf01c623b0a27dc17e169f289a886490ad37e52bf2b922afd804","observation_id":"c5996812-3058-4be6-ab58-75e0a4d88d1c","resolution":{"observed_at":"2026-06-27T10:21:41.129521Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T10:21:41.129521Z","title":"J.56(1988), 415–429","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:255480dd9ec6a7db717780d1ddc336f5ca6916a231377aca31ca9f4ed60b2016","observation_id":"0bd0c359-8fb9-4cd8-8389-d629f3ffe0b0","resolution":{"observed_at":"2026-06-27T10:21:41.129521Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T10:21:41.129521Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:f580ceea9f392ea81a88f8e13b322715a7f2fc994e046e3097cfdb8cd0823d7a","observation_id":"4b2e30c2-82c8-462b-8ca5-25d5c6c29b9e","resolution":{"observed_at":"2026-06-27T10:21:41.129521Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.17009","last_updated":"2026-01-22T10:32:24Z","snapshot_observed_at":"2026-08-08T10:16:25.500684Z","submitted_at":"2024-09-25T15:15:01Z","title":"The Hilbert scheme of points on a threefold: broken Gorenstein structures and linkage","version":2},"cited_work":{"arxiv_id":"2409.17009","doi":null,"metadata_source":"pith","pith_arxiv_id":"2409.17009","snapshot_observed_at":"2026-07-03T09:37:49.436884Z","title":"The Hilbert scheme of points on a threefold: broken Gorenstein structures and linkage","venue":"math.AG","work_id":"f576c163-dc7e-46b9-b7c7-b19d835504d8","year":2024},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"cited_paper":"/paper/2409.17009","citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:dcb9d833e2a0e20853819e05ed69572a1f036cc83197350c0d8a1b22709e77b0","observation_id":"a0d796e8-7611-4251-a0ec-32f34c364d4d","resolution":{"observed_at":"2026-07-03T09:37:49.438356Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-27T10:21:41.129521Z","title":"Kimura, N","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:a394ac28acb1c0d877f619ae73ed60a5d65ba11f3ea363d241f807360b2bdbb9","observation_id":"f360df6c-9fc6-4707-9523-869f022b77da","resolution":{"observed_at":"2026-06-27T10:21:41.129521Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T10:21:41.129521Z","title":"Mantero, M","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:16b26ae653b7a2091ff759e9b4d18f95bf7d47a2c0532ced957a4b85d63543ba","observation_id":"b7d876ce-48e8-4d04-a866-bf08fc0ac70b","resolution":{"observed_at":"2026-06-27T10:21:41.129521Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T10:21:41.129521Z","title":"Poonen,Isomorphism types of commutative algebras of finite rank over an alge- braically closed field, Computational arithmetic geometry, Contemporary Mathemat- ics, vol","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:368ff9f6f0d41c2ba9a4fe07254685fe0b9ee5041e407ad28125d34c3d5f88f2","observation_id":"d6218ce4-208e-4f80-b667-9e62c2bc4d65","resolution":{"observed_at":"2026-06-27T10:21:41.129521Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T10:21:41.129521Z","title":"Rinaldo and N","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:1e5a63627823a9163d5b1e912b499609c5a2bc00f8dfc09887a0c56d6f4b61c5","observation_id":"230497e2-5d10-4d5f-b41e-ec06f46e43bd","resolution":{"observed_at":"2026-06-27T10:21:41.129521Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T10:21:41.129521Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:93c49d95883bb209783605803de2fa757dc3359318217b50094c27a523f49f86","observation_id":"cf5e5743-fba9-4d38-8d42-68404d935cd9","resolution":{"observed_at":"2026-06-27T10:21:41.129521Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T10:21:41.129521Z","title":"Rinaldo, N","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:9a18d12a07bee1147e25f54aae9e5ac6613581a5dc8ebc3dad09977ab079f666","observation_id":"d64d6fd6-1049-4788-b5ce-11365ef1114d","resolution":{"observed_at":"2026-06-27T10:21:41.129521Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T10:21:41.129521Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-27T10:21:41.129521Z"},"links":{"citing_paper":"/paper/2606.11467"},"observation_digest":"sha256:3a0540374a8d17f8c6018ced020ce14aef817919cf6e9b299e627c7c5c85e357","observation_id":"73382654-0ee4-4afc-abac-f490e00863ec","resolution":{"observed_at":"2026-06-27T10:21:41.129521Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.11467","last_updated":"2026-06-09T21:56:36Z","latest_version":1,"primary_category":"math.AC","snapshot_observed_at":"2026-07-06T23:50:30.023802Z","submitted_at":"2026-06-09T21:56:36Z","title":"On the number of generators of licci ideals"},"reference_resolution":{"displayed":25,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":20,"verified_exact":5,"verified_fuzzy":0},"total_outbound_references":25},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2606.11467."}