{"as_of":"2026-08-11T18:12:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:29ca34c1e5f727d56b07a7236941d97791086283b21a99e961cfd07793b72d40","coverage":[{"denominator":19,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T20:58:56.538787Z","state":"measured"},{"denominator":19,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":19,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+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/2501.07065/citation-record","integrity":"/paper/2501.07065/integrity","json":"/paper/2501.07065/citation-record.json","paper":"/paper/2501.07065"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2208.01723","last_updated":"2022-11-27T14:20:09Z","snapshot_observed_at":"2026-07-06T13:38:05.839536Z","submitted_at":"2022-08-02T20:17:51Z","title":"Tropical totally positive cluster varieties","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2208.01723","snapshot_observed_at":"2026-08-10T20:58:56.427039Z","title":"Tropical totally positive cluster varieties","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.07065","last_updated":"2025-01-13T05:22:45Z","snapshot_observed_at":"2026-08-10T20:47:14.039410Z","submitted_at":"2025-01-13T05:22:45Z","title":"Gr\\\"obner Cones for Finite Type Cluster Algebras","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-10T20:58:56.427039Z"},"links":{"cited_paper":"/paper/2208.01723","citing_paper":"/paper/2501.07065"},"observation_digest":"sha256:6b7f0bda551983d2d031d222ee23c1c779813b2857e8bbeea8c26e8ea25fcfc8","observation_id":"a4979c56-1c6c-4c0c-a008-abadefd22947","resolution":{"observed_at":"2026-08-10T20:58:56.427039Z","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":"2026-08-10T20:58:56.434192Z","title":"Lie groups and L ie algebras","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2501.07065","last_updated":"2025-01-13T05:22:45Z","snapshot_observed_at":"2026-08-10T20:47:14.039410Z","submitted_at":"2025-01-13T05:22:45Z","title":"Gr\\\"obner Cones for Finite Type Cluster Algebras","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-10T20:58:56.434192Z"},"links":{"citing_paper":"/paper/2501.07065"},"observation_digest":"sha256:decd47272221b98b41b0b3e8ae730bff19ccfc0702d6daf800b35889f2ebabe1","observation_id":"615dd449-c9d1-435c-a0df-d5d9680d7695","resolution":{"observed_at":"2026-08-10T20:58:56.434192Z","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":"2026-08-10T20:58:56.824763Z","title":"Degenerations to unobstructed F ano S tanley- R eisner schemes","venue":null,"work_id":"82295367-4e4e-48e7-a110-dfb27ee35887","year":2014},"citing_paper":{"arxiv_id":"2501.07065","last_updated":"2025-01-13T05:22:45Z","snapshot_observed_at":"2026-08-10T20:47:14.039410Z","submitted_at":"2025-01-13T05:22:45Z","title":"Gr\\\"obner Cones for Finite Type Cluster Algebras","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-10T20:58:56.438834Z"},"links":{"citing_paper":"/paper/2501.07065"},"observation_digest":"sha256:c303215f33cb94f0c970142e351aa4b1caf7bc95f71f261ff0cf07858962c036","observation_id":"c99d0512-654f-485e-9a16-e9853e37310a","resolution":{"observed_at":"2026-08-10T20:58:56.829154Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2008.09189","last_updated":"2021-08-30T01:41:00Z","snapshot_observed_at":"2026-08-08T19:43:35.147043Z","submitted_at":"2020-08-20T20:09:54Z","title":"Introduction to Cluster Algebras. Chapter 6","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.09189","snapshot_observed_at":"2026-08-10T20:58:56.444791Z","title":"Introduction to cluster algebras","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2501.07065","last_updated":"2025-01-13T05:22:45Z","snapshot_observed_at":"2026-08-10T20:47:14.039410Z","submitted_at":"2025-01-13T05:22:45Z","title":"Gr\\\"obner Cones for Finite Type Cluster Algebras","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-10T20:58:56.444791Z"},"links":{"cited_paper":"/paper/2008.09189","citing_paper":"/paper/2501.07065"},"observation_digest":"sha256:31c258ec7562d097c4589c6891b7defa761da47371a50eed81e0d5f2d1f349b4","observation_id":"7c4173f9-eae5-4429-a75c-3485e60b3c32","resolution":{"observed_at":"2026-08-10T20:58:56.444791Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1608.05735","last_updated":"2024-12-10T00:46:52Z","snapshot_observed_at":"2026-08-09T15:30:28.710405Z","submitted_at":"2016-08-19T20:49:21Z","title":"Introduction to Cluster Algebras. Chapters 1-3","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1608.05735","snapshot_observed_at":"2026-08-10T20:58:56.453512Z","title":"Introduction to cluster algebras","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.07065","last_updated":"2025-01-13T05:22:45Z","snapshot_observed_at":"2026-08-10T20:47:14.039410Z","submitted_at":"2025-01-13T05:22:45Z","title":"Gr\\\"obner Cones for Finite Type Cluster Algebras","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-10T20:58:56.453512Z"},"links":{"cited_paper":"/paper/1608.05735","citing_paper":"/paper/2501.07065"},"observation_digest":"sha256:f3f9ff87a2b299ab828cd3e07a1a22e32db2f58049e006a8746752f0e63d394e","observation_id":"b6d0c70a-fd1c-4629-821a-fb3d3fecb494","resolution":{"observed_at":"2026-08-10T20:58:56.453512Z","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":"2026-08-10T20:58:56.459581Z","title":"Cluster algebras","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2501.07065","last_updated":"2025-01-13T05:22:45Z","snapshot_observed_at":"2026-08-10T20:47:14.039410Z","submitted_at":"2025-01-13T05:22:45Z","title":"Gr\\\"obner Cones for Finite Type Cluster Algebras","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-10T20:58:56.459581Z"},"links":{"citing_paper":"/paper/2501.07065"},"observation_digest":"sha256:918296cf883710197399666a5b54214efbac66c15908a99632cfcf9261eda220","observation_id":"5c9dd32a-ea38-4eb1-a2ca-74ec96373666","resolution":{"observed_at":"2026-08-10T20:58:56.459581Z","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":"2026-08-10T20:58:56.468582Z","title":"Cluster algebras","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2501.07065","last_updated":"2025-01-13T05:22:45Z","snapshot_observed_at":"2026-08-10T20:47:14.039410Z","submitted_at":"2025-01-13T05:22:45Z","title":"Gr\\\"obner Cones for Finite Type Cluster Algebras","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-10T20:58:56.468582Z"},"links":{"citing_paper":"/paper/2501.07065"},"observation_digest":"sha256:904992b53a30945b1b5eb6100256e01e187ba89cd82580cbce1f9ad0c3121651","observation_id":"151e2398-d320-452f-9e6e-e19027d9f1ca","resolution":{"observed_at":"2026-08-10T20:58:56.468582Z","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":"2026-08-10T20:58:56.794399Z","title":"Y -systems and generalized associahedra","venue":null,"work_id":"e13508a6-6740-48b5-adc9-8afeaa7e0082","year":2003},"citing_paper":{"arxiv_id":"2501.07065","last_updated":"2025-01-13T05:22:45Z","snapshot_observed_at":"2026-08-10T20:47:14.039410Z","submitted_at":"2025-01-13T05:22:45Z","title":"Gr\\\"obner Cones for Finite Type Cluster Algebras","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-10T20:58:56.475063Z"},"links":{"citing_paper":"/paper/2501.07065"},"observation_digest":"sha256:6cd248ca0bed89e19242833dc71554c1b3d7850f4486d2fca2d702ab835a1287","observation_id":"f805b553-df4a-4f9b-b574-e10c0b80d2a3","resolution":{"observed_at":"2026-08-10T20:58:56.799536Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T20:58:56.480117Z","title":"Cluster algebras","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2501.07065","last_updated":"2025-01-13T05:22:45Z","snapshot_observed_at":"2026-08-10T20:47:14.039410Z","submitted_at":"2025-01-13T05:22:45Z","title":"Gr\\\"obner Cones for Finite Type Cluster Algebras","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-10T20:58:56.480117Z"},"links":{"citing_paper":"/paper/2501.07065"},"observation_digest":"sha256:ef4681d26d8b2da885060442293f7a81ebc5e7ed9e5d47446e3949a45c3165a8","observation_id":"09d8a6f4-19bf-4d5d-bda9-a67c358e2ec5","resolution":{"observed_at":"2026-08-10T20:58:56.480117Z","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":"2026-08-10T20:58:56.487983Z","title":"Lie groups, L ie algebras, and representations , volume 222 of Graduate Texts in Mathematics","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2501.07065","last_updated":"2025-01-13T05:22:45Z","snapshot_observed_at":"2026-08-10T20:47:14.039410Z","submitted_at":"2025-01-13T05:22:45Z","title":"Gr\\\"obner Cones for Finite Type Cluster Algebras","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-10T20:58:56.487983Z"},"links":{"citing_paper":"/paper/2501.07065"},"observation_digest":"sha256:ae7bc94bfadc9f5e921885a23b02106a834df9bab3021f20e506d788f07af8bf","observation_id":"9e57b00c-9133-4a23-8482-7e8b193e88a4","resolution":{"observed_at":"2026-08-10T20:58:56.487983Z","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":"2026-08-10T20:58:56.493420Z","title":"Humphreys","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2501.07065","last_updated":"2025-01-13T05:22:45Z","snapshot_observed_at":"2026-08-10T20:47:14.039410Z","submitted_at":"2025-01-13T05:22:45Z","title":"Gr\\\"obner Cones for Finite Type Cluster Algebras","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-10T20:58:56.493420Z"},"links":{"citing_paper":"/paper/2501.07065"},"observation_digest":"sha256:1f563a0fe0206ecceff80c12945a8fe462347ad00140008eeac6855f687c4920","observation_id":"aed7e30b-55bc-431d-bb04-60892410d4de","resolution":{"observed_at":"2026-08-10T20:58:56.493420Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.02566","last_updated":"2025-02-27T22:46:05Z","snapshot_observed_at":"2026-07-06T12:05:15.287457Z","submitted_at":"2021-11-04T00:09:08Z","title":"Deformation Theory for Finite Cluster Complexes","version":2},"cited_work":{"arxiv_id":"2111.02566","doi":null,"metadata_source":"pith","pith_arxiv_id":"2111.02566","snapshot_observed_at":"2026-08-10T20:58:56.582664Z","title":"Deformation Theory for Finite Cluster Complexes","venue":"math.AG","work_id":"e4c628ce-ee63-4aa9-bc97-f1bfacbf077b","year":2021},"citing_paper":{"arxiv_id":"2501.07065","last_updated":"2025-01-13T05:22:45Z","snapshot_observed_at":"2026-08-10T20:47:14.039410Z","submitted_at":"2025-01-13T05:22:45Z","title":"Gr\\\"obner Cones for Finite Type Cluster Algebras","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-10T20:58:56.497678Z"},"links":{"cited_paper":"/paper/2111.02566","citing_paper":"/paper/2501.07065"},"observation_digest":"sha256:19760c490d2e2b272c45a3b728fbfe3d63c52d1af18bdec450831a31ea7de435","observation_id":"08834c9d-d471-4a2e-afd9-a93299b77814","resolution":{"observed_at":"2026-08-10T20:58:56.590519Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T20:58:56.749431Z","title":"Gr\\\"obner cones for finite type cluster algebras","venue":null,"work_id":"452b8365-5320-4651-84b8-90ba21f6f401","year":2025},"citing_paper":{"arxiv_id":"2501.07065","last_updated":"2025-01-13T05:22:45Z","snapshot_observed_at":"2026-08-10T20:47:14.039410Z","submitted_at":"2025-01-13T05:22:45Z","title":"Gr\\\"obner Cones for Finite Type Cluster Algebras","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-10T20:58:56.504276Z"},"links":{"citing_paper":"/paper/2501.07065"},"observation_digest":"sha256:e43f143e1095dba74af48c05bdd8fb3248f69de2eb3e777fbbb9d6526f5816e9","observation_id":"f413d004-890d-43b0-95a0-b4024bc58d2f","resolution":{"observed_at":"2026-08-10T20:58:56.755017Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T20:58:56.509815Z","title":"The tropical G rassmannian","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2501.07065","last_updated":"2025-01-13T05:22:45Z","snapshot_observed_at":"2026-08-10T20:47:14.039410Z","submitted_at":"2025-01-13T05:22:45Z","title":"Gr\\\"obner Cones for Finite Type Cluster Algebras","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-10T20:58:56.509815Z"},"links":{"citing_paper":"/paper/2501.07065"},"observation_digest":"sha256:5619269e6469ca010b1b671df2f6475b978bb880201bd8df7ae3e93ef6a89b90","observation_id":"d2d8d328-d74f-4d19-a0ec-557b6c006fad","resolution":{"observed_at":"2026-08-10T20:58:56.509815Z","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":"2026-08-10T20:58:56.722748Z","title":"Exchange relations for finite type cluster algebras with acyclic initial seed and principal coefficients","venue":null,"work_id":"1fa8580b-a5ce-49ba-b77e-68b45dd35c44","year":2016},"citing_paper":{"arxiv_id":"2501.07065","last_updated":"2025-01-13T05:22:45Z","snapshot_observed_at":"2026-08-10T20:47:14.039410Z","submitted_at":"2025-01-13T05:22:45Z","title":"Gr\\\"obner Cones for Finite Type Cluster Algebras","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-10T20:58:56.515217Z"},"links":{"citing_paper":"/paper/2501.07065"},"observation_digest":"sha256:6397cfa00fb4b45bbb10265cec43bbac66acf2d185d105eacb4e1e33c5ddd993","observation_id":"1451a2fd-2c26-4c92-a749-69ff4172db75","resolution":{"observed_at":"2026-08-10T20:58:56.728038Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T20:58:56.705530Z","title":"Polyhedral models for generalized associahedra via C oxeter elements","venue":null,"work_id":"572aee6b-de78-4112-ad20-de893ab5bf68","year":2013},"citing_paper":{"arxiv_id":"2501.07065","last_updated":"2025-01-13T05:22:45Z","snapshot_observed_at":"2026-08-10T20:47:14.039410Z","submitted_at":"2025-01-13T05:22:45Z","title":"Gr\\\"obner Cones for Finite Type Cluster Algebras","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-10T20:58:56.519486Z"},"links":{"citing_paper":"/paper/2501.07065"},"observation_digest":"sha256:a2bd74b940174e02280e379a573f420d2554033919ef469134763c6048faddcd","observation_id":"1ac83d59-17a8-418c-9afd-1eb1c6c4a514","resolution":{"observed_at":"2026-08-10T20:58:56.712421Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T20:58:56.688729Z","title":"Algorithms in invariant theory","venue":null,"work_id":"7ff6baa2-1fe8-4fec-9319-89b39f40b1f9","year":2008},"citing_paper":{"arxiv_id":"2501.07065","last_updated":"2025-01-13T05:22:45Z","snapshot_observed_at":"2026-08-10T20:47:14.039410Z","submitted_at":"2025-01-13T05:22:45Z","title":"Gr\\\"obner Cones for Finite Type Cluster Algebras","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-10T20:58:56.525789Z"},"links":{"citing_paper":"/paper/2501.07065"},"observation_digest":"sha256:bf118d535ec823daee725db824ee7ef117e3cc1c66d6cb9a3978d37b7fb4d9a0","observation_id":"d20f1259-7887-49ac-a4a1-995d6b7d159d","resolution":{"observed_at":"2026-08-10T20:58:56.695010Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T20:58:56.669571Z","title":"S ageMath, the S age M athematics S oftware S ystem ( V ersion 9.5) , 2022","venue":null,"work_id":"993395e2-3b44-4e07-833b-4e6895616b01","year":2022},"citing_paper":{"arxiv_id":"2501.07065","last_updated":"2025-01-13T05:22:45Z","snapshot_observed_at":"2026-08-10T20:47:14.039410Z","submitted_at":"2025-01-13T05:22:45Z","title":"Gr\\\"obner Cones for Finite Type Cluster Algebras","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-10T20:58:56.533629Z"},"links":{"citing_paper":"/paper/2501.07065"},"observation_digest":"sha256:0d55148fcefa634768b2eec34f04a570023514131eca3cc40d26c90e1e70854f","observation_id":"a386cdfb-1ddc-4705-9967-df6746919f0f","resolution":{"observed_at":"2026-08-10T20:58:56.676250Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T20:58:56.650866Z","title":"Cluster algebras of finite type via C oxeter elements and principal minors","venue":null,"work_id":"4f724ce5-a1a7-4524-8816-1d18a3419410","year":2008},"citing_paper":{"arxiv_id":"2501.07065","last_updated":"2025-01-13T05:22:45Z","snapshot_observed_at":"2026-08-10T20:47:14.039410Z","submitted_at":"2025-01-13T05:22:45Z","title":"Gr\\\"obner Cones for Finite Type Cluster Algebras","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-10T20:58:56.538787Z"},"links":{"citing_paper":"/paper/2501.07065"},"observation_digest":"sha256:d300b7c5d2fc3120d0356474a4f091a29851a4536de392eaad15b6ce9e346048","observation_id":"f28a6746-427f-44c6-97f2-d39638dc6f06","resolution":{"observed_at":"2026-08-10T20:58:56.656471Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.07065","last_updated":"2025-01-13T05:22:45Z","latest_version":1,"primary_category":"math.AC","snapshot_observed_at":"2026-08-10T20:47:14.039410Z","submitted_at":"2025-01-13T05:22:45Z","title":"Gr\\\"obner Cones for Finite Type Cluster Algebras"},"reference_resolution":{"displayed":19,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":10,"verified_exact":1,"verified_fuzzy":8},"total_outbound_references":19},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2501.07065."}