{"as_of":"2026-08-14T06:23:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ebe6f102cb070b842321ad3c871e97b7aede8d6f98088142c55db081c8e51f7d","coverage":[{"denominator":18,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":18,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T23:27:42.684027Z","state":"measured"},{"denominator":18,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":18,"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/2412.02614/citation-record","integrity":"/paper/2412.02614/integrity","json":"/paper/2412.02614/citation-record.json","paper":"/paper/2412.02614"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:27:42.940998Z","title":null,"venue":null,"work_id":"d91321cb-b8b3-446f-8bef-7eaca367f084","year":1972},"citing_paper":{"arxiv_id":"2412.02614","last_updated":"2024-12-03T17:42:58Z","snapshot_observed_at":"2026-08-13T20:10:26.492338Z","submitted_at":"2024-12-03T17:42:58Z","title":"Cacti, Toggles, and Reverse Plane Partitions","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-11T23:27:42.605197Z"},"links":{"citing_paper":"/paper/2412.02614"},"observation_digest":"sha256:20c6e982d5a208771fb736c6a22353220d76237f8e10a9e54d608fab98c20eb6","observation_id":"07895932-eb08-462d-b96d-abeb4bbed280","resolution":{"observed_at":"2026-08-11T23:27:42.946085Z","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":"2026-08-11T23:27:42.927942Z","title":"Berenstein, and A","venue":null,"work_id":"eb944d10-6833-4ccd-b486-c4aa2b202e88","year":1995},"citing_paper":{"arxiv_id":"2412.02614","last_updated":"2024-12-03T17:42:58Z","snapshot_observed_at":"2026-08-13T20:10:26.492338Z","submitted_at":"2024-12-03T17:42:58Z","title":"Cacti, Toggles, and Reverse Plane Partitions","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-11T23:27:42.611001Z"},"links":{"citing_paper":"/paper/2412.02614"},"observation_digest":"sha256:5d95b1f8fea2f8fd5c9b257dcb6358f33627b55728a683f3dbd8ff41a712e5fd","observation_id":"6173afe8-8bc2-4818-80af-dde0d2fae0c2","resolution":{"observed_at":"2026-08-11T23:27:42.932306Z","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":"2026-08-11T23:27:42.904427Z","title":"Bump, and A","venue":null,"work_id":"b8ed72b1-b2ee-4839-82ae-718c7ee4eb21","year":2017},"citing_paper":{"arxiv_id":"2412.02614","last_updated":"2024-12-03T17:42:58Z","snapshot_observed_at":"2026-08-13T20:10:26.492338Z","submitted_at":"2024-12-03T17:42:58Z","title":"Cacti, Toggles, and Reverse Plane Partitions","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-11T23:27:42.615940Z"},"links":{"citing_paper":"/paper/2412.02614"},"observation_digest":"sha256:51adf6275d372ab26533496f394dcfd4ae8714de5c9d845949a64f1896330f52","observation_id":"2703536f-059e-4b64-8211-16f07d77880b","resolution":{"observed_at":"2026-08-11T23:27:42.909275Z","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":"2026-08-11T23:27:42.892757Z","title":"Chmutov, M","venue":null,"work_id":"6a2f4a65-1a47-4264-a824-f6817df7a57a","year":2020},"citing_paper":{"arxiv_id":"2412.02614","last_updated":"2024-12-03T17:42:58Z","snapshot_observed_at":"2026-08-13T20:10:26.492338Z","submitted_at":"2024-12-03T17:42:58Z","title":"Cacti, Toggles, and Reverse Plane Partitions","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-11T23:27:42.620291Z"},"links":{"citing_paper":"/paper/2412.02614"},"observation_digest":"sha256:2b6578564b2cb7fe471b58006032b4cbf44f48f7babcd3827f32c69ad3a08c45","observation_id":"6d310b7b-27b7-484f-bc0d-d8772723d630","resolution":{"observed_at":"2026-08-11T23:27:42.896818Z","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":"2026-08-11T23:27:42.881882Z","title":"Dranowski, B","venue":null,"work_id":"f632c7ca-cb79-40d5-ace5-a8442f0ac238","year":2024},"citing_paper":{"arxiv_id":"2412.02614","last_updated":"2024-12-03T17:42:58Z","snapshot_observed_at":"2026-08-13T20:10:26.492338Z","submitted_at":"2024-12-03T17:42:58Z","title":"Cacti, Toggles, and Reverse Plane Partitions","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-11T23:27:42.625665Z"},"links":{"citing_paper":"/paper/2412.02614"},"observation_digest":"sha256:e94a25f814fa7c93847e404b9bc42b17d2b7d9cefc0eeb6bb95a63e34a67c54e","observation_id":"03c6bf3d-7ea6-4dd3-8cf3-565ec781d4ee","resolution":{"observed_at":"2026-08-11T23:27:42.885600Z","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":"2001.02262","last_updated":"2020-01-07T19:53:48Z","snapshot_observed_at":"2026-07-06T08:49:05.214333Z","submitted_at":"2020-01-07T19:53:48Z","title":"Skew Howe duality for crystals and the cactus group","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2001.02262","snapshot_observed_at":"2026-08-11T23:27:42.630070Z","title":"Halacheva, Skew Howe duality for crystals and the cactus group","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.02614","last_updated":"2024-12-03T17:42:58Z","snapshot_observed_at":"2026-08-13T20:10:26.492338Z","submitted_at":"2024-12-03T17:42:58Z","title":"Cacti, Toggles, and Reverse Plane Partitions","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-11T23:27:42.630070Z"},"links":{"cited_paper":"/paper/2001.02262","citing_paper":"/paper/2412.02614"},"observation_digest":"sha256:16322424fdf0a695d32202ecce0d410583100d229cc7f9985d30107362f9767e","observation_id":"f0023c5b-cd1a-4a3e-9994-a2e5c5c5afab","resolution":{"observed_at":"2026-08-11T23:27:42.630070Z","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":"2026-08-11T23:27:42.870314Z","title":"Halacheva, J","venue":null,"work_id":"1a723513-31cb-4ec5-966f-1901f9c491b3","year":2020},"citing_paper":{"arxiv_id":"2412.02614","last_updated":"2024-12-03T17:42:58Z","snapshot_observed_at":"2026-08-13T20:10:26.492338Z","submitted_at":"2024-12-03T17:42:58Z","title":"Cacti, Toggles, and Reverse Plane Partitions","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-11T23:27:42.636116Z"},"links":{"citing_paper":"/paper/2412.02614"},"observation_digest":"sha256:428d1cbfa0f6722bb3713bc34747a28fc038a43264e0f77499954db4a46f9ab3","observation_id":"bbc547aa-a726-42ec-b103-e149d1439fe3","resolution":{"observed_at":"2026-08-11T23:27:42.874237Z","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":"2026-08-11T23:27:42.859026Z","title":"Henriques, and J","venue":null,"work_id":"4b3ae139-468a-437a-bc31-5eaa5eaa82df","year":2006},"citing_paper":{"arxiv_id":"2412.02614","last_updated":"2024-12-03T17:42:58Z","snapshot_observed_at":"2026-08-13T20:10:26.492338Z","submitted_at":"2024-12-03T17:42:58Z","title":"Cacti, Toggles, and Reverse Plane Partitions","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-11T23:27:42.640286Z"},"links":{"citing_paper":"/paper/2412.02614"},"observation_digest":"sha256:f0548f5eccb6810c5e11a74b0bbd7afdac516c26d7c089dbdfa7441341e884bf","observation_id":"a7d98319-f6cf-47e0-8af3-97d4e68abf87","resolution":{"observed_at":"2026-08-11T23:27:42.863010Z","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":"2026-08-11T23:27:42.846330Z","title":"Hong, and S.-J","venue":null,"work_id":"f4a95330-377f-4695-afcf-540621b55ae3","year":2002},"citing_paper":{"arxiv_id":"2412.02614","last_updated":"2024-12-03T17:42:58Z","snapshot_observed_at":"2026-08-13T20:10:26.492338Z","submitted_at":"2024-12-03T17:42:58Z","title":"Cacti, Toggles, and Reverse Plane Partitions","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-11T23:27:42.644258Z"},"links":{"citing_paper":"/paper/2412.02614"},"observation_digest":"sha256:7c94bd7119212472a6d6c48a1cc0d18fff9ad12417b490408a4b5dc87d0ddb5b","observation_id":"f25f0609-f7ee-401e-865f-fdb07417402f","resolution":{"observed_at":"2026-08-11T23:27:42.850610Z","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":"2026-08-11T23:27:42.833763Z","title":null,"venue":null,"work_id":"5227e1b3-1882-48f4-8757-5089290b8558","year":1972},"citing_paper":{"arxiv_id":"2412.02614","last_updated":"2024-12-03T17:42:58Z","snapshot_observed_at":"2026-08-13T20:10:26.492338Z","submitted_at":"2024-12-03T17:42:58Z","title":"Cacti, Toggles, and Reverse Plane Partitions","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-11T23:27:42.648893Z"},"links":{"citing_paper":"/paper/2412.02614"},"observation_digest":"sha256:b31943a34cb8e39cc5d4bbae6eb8997816f65557fc94f01a147ac3fcff2d60de","observation_id":"c32fa92d-9af4-44bc-a354-ca80fc06a3d1","resolution":{"observed_at":"2026-08-11T23:27:42.838099Z","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":"2026-08-11T23:27:42.819621Z","title":"Kashiwara, Crystalizing the q-analogue of universal enveloping algebras, Commun","venue":null,"work_id":"b3e62682-7804-4224-97a3-24683bdaec64","year":1990},"citing_paper":{"arxiv_id":"2412.02614","last_updated":"2024-12-03T17:42:58Z","snapshot_observed_at":"2026-08-13T20:10:26.492338Z","submitted_at":"2024-12-03T17:42:58Z","title":"Cacti, Toggles, and Reverse Plane Partitions","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-11T23:27:42.653327Z"},"links":{"citing_paper":"/paper/2412.02614"},"observation_digest":"sha256:440291aca0affbd472c3d7f1f9260f8436794bc8df8e7e2d6c48001aa3046e5d","observation_id":"5ebbdca3-3759-4ae7-87e0-5aa01d908983","resolution":{"observed_at":"2026-08-11T23:27:42.825131Z","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":"2026-08-11T23:27:42.806572Z","title":"Kashiwara, On crystal bases of the q-analogue of universal enveloping algebras, Duke Math","venue":null,"work_id":"8b593b4b-d1eb-4177-b1d6-3d3363da653c","year":1991},"citing_paper":{"arxiv_id":"2412.02614","last_updated":"2024-12-03T17:42:58Z","snapshot_observed_at":"2026-08-13T20:10:26.492338Z","submitted_at":"2024-12-03T17:42:58Z","title":"Cacti, Toggles, and Reverse Plane Partitions","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-11T23:27:42.657146Z"},"links":{"citing_paper":"/paper/2412.02614"},"observation_digest":"sha256:ed1f43a0691d35c0d132d0273974a10e158f94dce27a6404238579ef92c66b06","observation_id":"4e86b8fb-b73d-4d8e-b6e4-1f14336aa2d8","resolution":{"observed_at":"2026-08-11T23:27:42.810994Z","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":"2026-08-11T23:27:42.793330Z","title":"Kleschev, and A","venue":null,"work_id":"8a811d5b-2e41-4cb7-8b39-96409940a041","year":2010},"citing_paper":{"arxiv_id":"2412.02614","last_updated":"2024-12-03T17:42:58Z","snapshot_observed_at":"2026-08-13T20:10:26.492338Z","submitted_at":"2024-12-03T17:42:58Z","title":"Cacti, Toggles, and Reverse Plane Partitions","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-11T23:27:42.661679Z"},"links":{"citing_paper":"/paper/2412.02614"},"observation_digest":"sha256:5be8cf5a976cffee2e67f321c2655a83cb5fcabec89991a2b556c776d4bffbc9","observation_id":"6c0eac6c-cf22-4c9b-a8cf-6017fc44e5fe","resolution":{"observed_at":"2026-08-11T23:27:42.797556Z","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":"2026-08-11T23:27:42.780960Z","title":null,"venue":null,"work_id":"9c81bf2d-229f-43f8-8368-6940bfbd9d3c","year":1999},"citing_paper":{"arxiv_id":"2412.02614","last_updated":"2024-12-03T17:42:58Z","snapshot_observed_at":"2026-08-13T20:10:26.492338Z","submitted_at":"2024-12-03T17:42:58Z","title":"Cacti, Toggles, and Reverse Plane Partitions","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-11T23:27:42.665868Z"},"links":{"citing_paper":"/paper/2412.02614"},"observation_digest":"sha256:ba34e77e0a8acf0f57504450e9128cafc80dac387af8970b374e3e1b738d34f8","observation_id":"8ab44b6c-a4de-4e8f-a8d7-39eac4fd1bfa","resolution":{"observed_at":"2026-08-11T23:27:42.784773Z","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":"2026-08-11T23:27:42.769397Z","title":null,"venue":null,"work_id":"e65c1f2e-5762-4e2c-b329-08e2e933dcfd","year":1996},"citing_paper":{"arxiv_id":"2412.02614","last_updated":"2024-12-03T17:42:58Z","snapshot_observed_at":"2026-08-13T20:10:26.492338Z","submitted_at":"2024-12-03T17:42:58Z","title":"Cacti, Toggles, and Reverse Plane Partitions","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-11T23:27:42.669677Z"},"links":{"citing_paper":"/paper/2412.02614"},"observation_digest":"sha256:7108fc469aed2672b6fd49a64dd23dcc0ef061ab9562c6d81bbb70e4b6d898da","observation_id":"b52f809b-41ed-4661-b119-08f4c4ac4673","resolution":{"observed_at":"2026-08-11T23:27:42.772979Z","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":"2026-08-11T23:27:42.757562Z","title":null,"venue":null,"work_id":"eb5d4c26-9f92-41f4-8556-ddadb386715b","year":2001},"citing_paper":{"arxiv_id":"2412.02614","last_updated":"2024-12-03T17:42:58Z","snapshot_observed_at":"2026-08-13T20:10:26.492338Z","submitted_at":"2024-12-03T17:42:58Z","title":"Cacti, Toggles, and Reverse Plane Partitions","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-11T23:27:42.674027Z"},"links":{"citing_paper":"/paper/2412.02614"},"observation_digest":"sha256:e83291fa533f67e1028cd8f4b352485e97bf5ac2a24a2349b8d43e41e3946f4b","observation_id":"098b614a-cfca-4153-9ca0-d7fef7e7641a","resolution":{"observed_at":"2026-08-11T23:27:42.761547Z","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":"2026-08-11T23:27:42.744465Z","title":null,"venue":null,"work_id":"4eaa7951-9931-44fc-ba3a-9b6f2c55d43c","year":2002},"citing_paper":{"arxiv_id":"2412.02614","last_updated":"2024-12-03T17:42:58Z","snapshot_observed_at":"2026-08-13T20:10:26.492338Z","submitted_at":"2024-12-03T17:42:58Z","title":"Cacti, Toggles, and Reverse Plane Partitions","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-11T23:27:42.679332Z"},"links":{"citing_paper":"/paper/2412.02614"},"observation_digest":"sha256:a36eadfc4431b894b38c2b30e278c4be35314b5c68db0aed4adbc26c4daad406","observation_id":"6cc8f5ec-e882-42c0-8db8-24dd55b22477","resolution":{"observed_at":"2026-08-11T23:27:42.748758Z","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":"2026-08-11T23:27:42.728644Z","title":"Tingley, Three combinatorial models for sl _n crystals, with applications to cylindric plane partitions , Int","venue":null,"work_id":"ed48a0c5-d217-4b90-8738-8f5b05201fe5","year":2008},"citing_paper":{"arxiv_id":"2412.02614","last_updated":"2024-12-03T17:42:58Z","snapshot_observed_at":"2026-08-13T20:10:26.492338Z","submitted_at":"2024-12-03T17:42:58Z","title":"Cacti, Toggles, and Reverse Plane Partitions","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-11T23:27:42.684027Z"},"links":{"citing_paper":"/paper/2412.02614"},"observation_digest":"sha256:7ef641449db38211ce505ec4c5dc80fb3cc26209e7ab7684e043542ee720fef2","observation_id":"bdbaf3c4-4c88-4275-b386-eeefac4d68c2","resolution":{"observed_at":"2026-08-11T23:27:42.735516Z","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"}}],"paper":{"arxiv_id":"2412.02614","last_updated":"2024-12-03T17:42:58Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-13T20:10:26.492338Z","submitted_at":"2024-12-03T17:42:58Z","title":"Cacti, Toggles, and Reverse Plane Partitions"},"reference_resolution":{"displayed":18,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":0,"verified_fuzzy":11},"total_outbound_references":18},"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 14 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2412.02614."}