{"as_of":"2026-08-13T10:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bb6fa32bfc6255224cf40b385cf5a2bf11772d4be245fb99d162d0a984f1e9a5","coverage":[{"denominator":31,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":31,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T17:18:35.639945Z","state":"measured"},{"denominator":31,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":31,"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/2411.12819/citation-record","integrity":"/paper/2411.12819/integrity","json":"/paper/2411.12819/citation-record.json","paper":"/paper/2411.12819"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:37.971356Z","title":"Category theory, volume 52 of Oxford Logic Guides","venue":null,"work_id":"225ea868-0593-4b42-ae0c-da1cd9824202","year":2010},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:34.974342Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:93cc18d9bca6c2c8318c191420d52107a0a3630a668a224a127088fe6f7469d9","observation_id":"0af58fd2-5f97-4c47-9feb-46719bb50147","resolution":{"observed_at":"2026-08-12T17:18:37.978546Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:37.952383Z","title":"Julia: A fresh approach to numerical computing","venue":null,"work_id":"a7c13be8-e173-45d9-b46e-9974c4153a34","year":2017},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.090976Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:de1ce57d334d2036191a87bd0f20e7bde4f6ed354c6f1b8290ea3634a6fcf0e6","observation_id":"d7efb2e6-7d62-4960-9a75-4ebc018ac17f","resolution":{"observed_at":"2026-08-12T17:18:37.957810Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:37.928720Z","title":null,"venue":null,"work_id":"d54f922c-1e4b-42c5-ab1a-01519b7108b6","year":2021},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.128811Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:4141ee180e6391a6dc9dc233d1aaede72b3493ccc57bce89210d0aaa40fac112","observation_id":"cd680d74-abf2-4a12-a468-727e8663ea17","resolution":{"observed_at":"2026-08-12T17:18:37.934743Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:37.908228Z","title":"The Grassmannian of 3-planes in C8 is sch¨ on.Algebraic Combina- torics, 6(5):1273–1299, 2023","venue":null,"work_id":"1593da2a-2b10-485b-a75e-c10a0c468a85","year":2023},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.135577Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:2237f2450c43437ddcc4c66f15fe5258ba55f757a6c191ed7c3f603a3bc2aa1d","observation_id":"3ce42d35-7616-4c7a-803d-31cfa5fdd5d5","resolution":{"observed_at":"2026-08-12T17:18:37.915048Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2307.11915","last_updated":"2025-03-14T12:21:04Z","snapshot_observed_at":"2026-08-09T02:52:03.802384Z","submitted_at":"2023-07-21T21:39:24Z","title":"Singular matroid realization spaces","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.11915","snapshot_observed_at":"2026-08-12T17:18:35.145188Z","title":"Singular matroid realization space s, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.145188Z"},"links":{"cited_paper":"/paper/2307.11915","citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:fc661e07ee3f5d1e14bf94e7e16a0860da3e45f28df191709787d5edee21fd9b","observation_id":"735a40df-4170-4102-b3be-947787166ef0","resolution":{"observed_at":"2026-08-12T17:18:35.145188Z","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":"2026-08-12T17:18:35.152738Z","title":"Initial degenerations of ﬂag varieties, 2022","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.152738Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:3def33cb65c1db42f5f05f520662fe1488e4723b319b8de2195cd3595ac44970","observation_id":"4f7f21d3-136a-4a8f-8bf6-877fde4dee5c","resolution":{"observed_at":"2026-08-12T17:18:35.152738Z","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":"2026-08-12T17:18:37.813798Z","title":"De Loera, J¨ org Rambau, and Francisco Santos","venue":null,"work_id":"c83363d2-ae78-4a07-b68e-6d4b9bb18d5d","year":2010},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.159493Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:53e5fa05d9a6bd2a20992cb48c7c15ffe6856345150313c0cf7cc017f289d1ab","observation_id":"c31084c6-62df-437b-a615-68a5b8793537","resolution":{"observed_at":"2026-08-12T17:18:37.852018Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:37.791574Z","title":"The Com- puter Algebra System OSCAR: Algorithms and Examples , volume 32 of Algorithms and Computation in Mathematics","venue":null,"work_id":"204b1377-9e78-436f-8588-1caf216feded","year":2025},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.165479Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:e2b0419a1184e86636c7e0f4d5fcbf23d52210626d00820e9da87f30a3b7e7b8","observation_id":"383bde4d-5053-4808-8a38-4b604d7348e8","resolution":{"observed_at":"2026-08-12T17:18:37.800403Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:37.689564Z","title":"A fair ﬁle format for mathematical software","venue":null,"work_id":"55c27297-4ab1-4afb-a2a8-06f1e2fd0e46","year":2024},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.173391Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:258a6395170d03f0defe5e1617451a7e8c87ea9625855dc28b351a17a9d1743c","observation_id":"8acc7362-7ec7-4b3a-abdc-369e6b3cc0bc","resolution":{"observed_at":"2026-08-12T17:18:37.776821Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:37.647228Z","title":"Dummit and Richard M","venue":null,"work_id":"b99930b4-9dfe-4a43-911d-fc21a01cec3a","year":2004},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.257797Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:e93c2cd8880de8843edd5146c607e73ba3a551eae87eda7bc59d756730a624ff","observation_id":"558395a8-14bc-40df-9126-32f2779cc8c8","resolution":{"observed_at":"2026-08-12T17:18:37.663003Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:37.548306Z","title":"Commutative algebra , volume 150 of Graduate Texts in Mathematics","venue":null,"work_id":"4c3fee18-4d4b-4243-b302-cb0216ed1a8b","year":1995},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.346319Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:3569e892a9dd91b3fccbb88c694dd04e0fb282996c44754ae0524a60287d0442","observation_id":"35a5d181-dee3-459e-b95e-2e0dc33be1d6","resolution":{"observed_at":"2026-08-12T17:18:37.627842Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:37.487477Z","title":"Gelfand, M","venue":null,"work_id":"dcb24efa-1430-49eb-a113-36249b188177","year":1987},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.394760Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:22bf8d7d71999389850b50b9c7985ff4f322fa3169b345016277cf55de6e6af3","observation_id":"2a731bb3-64f6-432a-88ff-822ae3b8dc38","resolution":{"observed_at":"2026-08-12T17:18:37.493909Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:37.464262Z","title":"Gelfand, M","venue":null,"work_id":"66983b84-c8e5-4dd3-b53c-74184dbfc3de","year":2008},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.402220Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:ba5d6aef21332ad529e79b48ef37b76e1cca0d766f119070ccfcc749d174afe2","observation_id":"d06690c4-557f-4917-803a-e9903710d458","resolution":{"observed_at":"2026-08-12T17:18:37.471050Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:37.350891Z","title":"On the facets of the secondary polytope","venue":null,"work_id":"faf50822-97a7-4a1a-8168-a766ae646338","year":null},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.407469Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:452e0bdad091380d669db4e21ca6863768dd020badb698bacc8aac739a1c9273","observation_id":"fc42465d-ccdd-49d8-b27a-85dd74694044","resolution":{"observed_at":"2026-08-12T17:18:37.431342Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:37.326183Z","title":"How to draw tropical planes","venue":null,"work_id":"23c6a542-6968-49d9-8c0c-7302fafff34e","year":2009},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.416947Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:8025c14e2f425d458d791526592b31b48fbd2eed0cb8714869030e27e5c3a082","observation_id":"a19a8594-685b-4ffe-b043-86aa0210a3fd","resolution":{"observed_at":"2026-08-12T17:18:37.331583Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:37.301480Z","title":"Matroids from hypers implex splits","venue":null,"work_id":"2ea0de28-4f3f-47c7-aebd-5ec0c0933f67","year":2017},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.424823Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:d81dd514254bedefabd1d93d4fc94f2df569fb1c2780f4e4cf62a04fcb1d763a","observation_id":"55b6edbb-793a-4793-9ce8-8cee96512049","resolution":{"observed_at":"2026-08-12T17:18:37.311266Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:37.138124Z","title":"Kapranov","venue":null,"work_id":"6ef13e2c-81d7-415a-88b3-e5449a1faa7d","year":null},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.429974Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:082aa13e928db44b37163589ddd7f9429378a4aea1087c7c7e6c5c8db1c8914e","observation_id":"e97a77fe-cdbf-4711-836d-1a2ba24bb3ac","resolution":{"observed_at":"2026-08-12T17:18:37.211663Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:37.081782Z","title":"Laﬀorgue","venue":null,"work_id":"fb9592d5-24c6-47e0-a4f9-113de52e7698","year":2003},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.435298Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:826258c16b8c869b0eb3e4a1d5a5560f7955dacdf14ca8b4ed2ca0c32f9f6219","observation_id":"8f1874ca-37ab-4249-9f31-a90cd22c3591","resolution":{"observed_at":"2026-08-12T17:18:37.118183Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2410.22175","last_updated":"2024-10-29T16:14:23Z","snapshot_observed_at":"2026-08-13T09:08:16.210597Z","submitted_at":"2024-10-29T16:14:23Z","title":"Irreducibility, Smoothness, and Connectivity of Realization Spaces of Matroids and Hyperplane Arrangements","version":1},"cited_work":{"arxiv_id":"2410.22175","doi":null,"metadata_source":"pith","pith_arxiv_id":"2410.22175","snapshot_observed_at":"2026-08-12T17:18:35.706482Z","title":"Irreducibility, Smoothness, and Connectivity of Realization Spaces of Matroids and Hyperplane Arrangements","venue":"math.CO","work_id":"17c0ce05-fa6a-48de-aa51-0121dd60d1d2","year":2024},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.441832Z"},"links":{"cited_paper":"/paper/2410.22175","citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:b2941130e0a8bca13e35e97eb8a0203b0ca87a0827c25bc0ac748ae427e52053","observation_id":"1f4bac8c-df84-490a-a9ce-745eb1d0d131","resolution":{"observed_at":"2026-08-12T17:18:35.761922Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:37.005620Z","title":"Introduction to tropical geometry , volume 161 of Graduate Studies in Mathematics","venue":null,"work_id":"9cde6c6a-76fd-4755-8139-2ed3135744f5","year":2015},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.449364Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:d7152eca8a9bf42ece2b44813adf73d474d9ee13c0d79f17a39a562f53bcf4ab","observation_id":"7773c0aa-87fa-46df-992a-1f0800acd9f8","resolution":{"observed_at":"2026-08-12T17:18:37.015402Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:36.973636Z","title":"Categories for the Working Mathematician","venue":null,"work_id":"6f3eb58a-0f24-4b53-991d-ed6ca9b530ea","year":1971},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.456034Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:350781d7e360e9ea24c93e588ec1bd37a5df531c649eb0d19f120bce484cb577","observation_id":"db7cc864-e149-43d4-bb57-faba6bcc3291","resolution":{"observed_at":"2026-08-12T17:18:36.982355Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:36.831253Z","title":"The Gr¨ obner fan of an ideal","venue":null,"work_id":"9c1caac8-2479-4b9b-bb40-d7db204f4381","year":null},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.462994Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:a7c69f4fcfa7bc21dd62c33d44af87e59948a70f51991f8e7cf3d75bc8ec0e82","observation_id":"500d131e-1f74-47a1-b656-ad462b70d589","resolution":{"observed_at":"2026-08-12T17:18:36.914525Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:36.809263Z","title":"URL: https://www.oscar-system.org","venue":null,"work_id":"6e93ee7c-2e66-44b0-8f11-42cc0500d512","year":2025},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.468694Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:b8e8465375c7e881f1dff052c1a20a7fd54e6aba35a785f182b4771c3d9fcdbf","observation_id":"af14606b-a452-4674-b66c-e058c2cbf67d","resolution":{"observed_at":"2026-08-12T17:18:36.818254Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:36.686601Z","title":"Matroid theory","venue":null,"work_id":"0ed669d9-1830-44e3-b286-07921c2e8f81","year":1992},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.531085Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:373756fdf36c15bb685b2f8e995ac65e38fd471283a84965ac5f8dc43df5dde1","observation_id":"a41bfdc4-3181-477a-b24c-a232395cafd1","resolution":{"observed_at":"2026-08-12T17:18:36.782472Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:36.566020Z","title":"Term orderings on the polynomial ring","venue":null,"work_id":"0d4a2f12-587d-4d4d-aeaa-afae3d04ebdd","year":1985},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.596524Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:fea5dcc95ca8d49f12c85f703a9fd13e9438ae8ba333a92d69f0c43fc0ba1808","observation_id":"a14b325e-c84c-45b8-bc96-e8d82cdb0714","resolution":{"observed_at":"2026-08-12T17:18:36.575902Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:36.530777Z","title":"Speyer and B","venue":null,"work_id":"5f3c2e67-4967-44ec-b18e-b1615a9f02e4","year":2004},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.603499Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:941b22bb8ebe645c2b7488f4834d82d491a38105286ac67c15ba7d3b1dec307a","observation_id":"511823b4-a5c1-410d-ab8d-f22f64d909cc","resolution":{"observed_at":"2026-08-12T17:18:36.549308Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:36.333886Z","title":null,"venue":null,"work_id":"d90776da-69c3-4942-aa7b-7e5d3b4e4eae","year":2008},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.610380Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:e0d75fdc208c61d2dda8706db6438fcba8b784943cd46182af5ef8fe3ff76f68","observation_id":"dcf76864-522f-4185-8566-d5f888d572ac","resolution":{"observed_at":"2026-08-12T17:18:36.431230Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:36.310845Z","title":"Sturmfels","venue":null,"work_id":"58e2b460-ffe5-41a9-9ba6-8c46d9a4550a","year":1995},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.619484Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:9c3d3fa749b27109b96596be12b7a62d5306a692a52ca75bc18a89b6611edf43","observation_id":"0b84db40-8231-4cc0-a423-5b9d310b5d21","resolution":{"observed_at":"2026-08-12T17:18:36.315649Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:36.169913Z","title":null,"venue":null,"work_id":"9e3da24c-2a83-43f1-a173-baef269d863b","year":2007},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.626549Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:ebc0f4efc65dd75fe02374cc1020fc5d359af8f529931355736903d619de55d0","observation_id":"db6e3ad7-0edc-49dd-bcb6-1883c00375fa","resolution":{"observed_at":"2026-08-12T17:18:36.282502Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:36.143684Z","title":null,"venue":null,"work_id":"58be2977-255f-4910-9d6f-20aa91f2b6d4","year":2012},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.634018Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:13ca2e353da0847f80eeb6830bccfef6119965f118614a2b6e4518d4fd5d0535","observation_id":"be8d67f1-59a6-4180-986b-89092019b81c","resolution":{"observed_at":"2026-08-12T17:18:36.151013Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:18:36.032618Z","title":null,"venue":null,"work_id":"1afb8fef-a568-4c8f-b3d4-418db02bdbe9","year":1995},"citing_paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-12T17:18:35.639945Z"},"links":{"citing_paper":"/paper/2411.12819"},"observation_digest":"sha256:683f4473db6a1f51fffa682f1985d9b51bc7d5b511658bfd581980722058cf5a","observation_id":"5a3a760a-e69b-4774-862c-ea6bb27dd1b4","resolution":{"observed_at":"2026-08-12T17:18:36.116240Z","resolver_source":"raw_fallback","status":"unresolved"},"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"}}],"paper":{"arxiv_id":"2411.12819","last_updated":"2025-05-19T22:18:21Z","latest_version":2,"primary_category":"math.CO","snapshot_observed_at":"2026-08-12T17:07:59.913118Z","submitted_at":"2024-11-19T19:13:47Z","title":"Regular subdivisions, bounds on initial ideals, and categorical limits"},"reference_resolution":{"displayed":31,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":1,"verified_fuzzy":23},"total_outbound_references":31},"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 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2411.12819."}