{"as_of":"2026-08-17T17:32:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:66fe4b2f9fc81df238238f45ea8fcd80e39e4281e18c28ae69a6d9d36411f0ca","coverage":[{"denominator":21,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":21,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T10:13:55.211710Z","state":"measured"},{"denominator":21,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":21,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1908.11763/citation-record","integrity":"/paper/1908.11763/integrity","json":"/paper/1908.11763/citation-record.json","paper":"/paper/1908.11763"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T10:13:55.521122Z","title":"Anderson","venue":null,"work_id":"22fcb3cd-a298-42ca-98f9-17d32baf01f6","year":2002},"citing_paper":{"arxiv_id":"1908.11763","last_updated":"2019-08-30T14:42:50Z","snapshot_observed_at":"2026-08-14T10:05:28.604733Z","submitted_at":"2019-08-30T14:42:50Z","title":"Recursions for rational q,t-Catalan numbers","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T10:13:55.127175Z"},"links":{"citing_paper":"/paper/1908.11763"},"observation_digest":"sha256:6a0ebcc0b3f3a8ffcfcf72c65c81a6c90e71c0a6c5480c5d8f94b10344393fe7","observation_id":"20bad4ed-cbed-421a-ae64-613f10b2b808","resolution":{"observed_at":"2026-08-14T10:13:55.525405Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T10:13:55.508899Z","title":"Armstrong, N","venue":null,"work_id":"39426a21-83dd-4c2e-84c9-0762abd43fe0","year":2015},"citing_paper":{"arxiv_id":"1908.11763","last_updated":"2019-08-30T14:42:50Z","snapshot_observed_at":"2026-08-14T10:05:28.604733Z","submitted_at":"2019-08-30T14:42:50Z","title":"Recursions for rational q,t-Catalan numbers","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T10:13:55.131543Z"},"links":{"citing_paper":"/paper/1908.11763"},"observation_digest":"sha256:85fff7b8067a3377cf7dc0f5ffc26068ee930e9f01f4e91fce3b9fe0433678cb","observation_id":"0d654cb7-9deb-41fd-8964-9adefe70d03d","resolution":{"observed_at":"2026-08-14T10:13:55.512669Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T10:13:55.496341Z","title":"Armstrong, C","venue":null,"work_id":"4063df44-1f8b-4b83-b315-0ee3bf64f2d2","year":2014},"citing_paper":{"arxiv_id":"1908.11763","last_updated":"2019-08-30T14:42:50Z","snapshot_observed_at":"2026-08-14T10:05:28.604733Z","submitted_at":"2019-08-30T14:42:50Z","title":"Recursions for rational q,t-Catalan numbers","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T10:13:55.135720Z"},"links":{"citing_paper":"/paper/1908.11763"},"observation_digest":"sha256:2527e611ae9dd036018eb1570ec3e7a9b1e2a6918444c31655d3dd97459451d6","observation_id":"e646a076-19f3-42cf-bbc1-6442e76067d7","resolution":{"observed_at":"2026-08-14T10:13:55.500255Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T10:13:55.483747Z","title":"Bergeron, A","venue":null,"work_id":"14229c8f-f8c3-4a3c-82e9-b2205ddec0f4","year":2016},"citing_paper":{"arxiv_id":"1908.11763","last_updated":"2019-08-30T14:42:50Z","snapshot_observed_at":"2026-08-14T10:05:28.604733Z","submitted_at":"2019-08-30T14:42:50Z","title":"Recursions for rational q,t-Catalan numbers","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T10:13:55.139717Z"},"links":{"citing_paper":"/paper/1908.11763"},"observation_digest":"sha256:5c11788e4c9a0b6da00cb7388fb8e2578d1c78d84c2591d9d73822571a63e0c9","observation_id":"771caa3f-8ca9-4c62-909e-c48956cc0b7b","resolution":{"observed_at":"2026-08-14T10:13:55.488137Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T10:13:55.470442Z","title":"Elias, M","venue":null,"work_id":"2a413498-37a3-43d6-a915-fa2e5572a7bc","year":2019},"citing_paper":{"arxiv_id":"1908.11763","last_updated":"2019-08-30T14:42:50Z","snapshot_observed_at":"2026-08-14T10:05:28.604733Z","submitted_at":"2019-08-30T14:42:50Z","title":"Recursions for rational q,t-Catalan numbers","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T10:13:55.143874Z"},"links":{"citing_paper":"/paper/1908.11763"},"observation_digest":"sha256:6fd9156c384e1c5a2266c1f15d93801980cf299e5f8bc4b40dd504986b6df25f","observation_id":"375ea2f9-096b-49d6-8898-18891219972c","resolution":{"observed_at":"2026-08-14T10:13:55.474951Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T10:13:55.456630Z","title":"Garsia, M","venue":null,"work_id":"3beda65f-1578-46d0-a668-babd43ae2f9b","year":1996},"citing_paper":{"arxiv_id":"1908.11763","last_updated":"2019-08-30T14:42:50Z","snapshot_observed_at":"2026-08-14T10:05:28.604733Z","submitted_at":"2019-08-30T14:42:50Z","title":"Recursions for rational q,t-Catalan numbers","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T10:13:55.147693Z"},"links":{"citing_paper":"/paper/1908.11763"},"observation_digest":"sha256:a9b4833a1032fd3a41d8bda31da5667e3264b5f21e9eb9ede22c0bcf69d916ab","observation_id":"3c979314-7259-46a0-b84b-ae49cf9785aa","resolution":{"observed_at":"2026-08-14T10:13:55.460961Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T10:13:55.443008Z","title":null,"venue":null,"work_id":"b9c3171a-ab70-4c0a-9986-b1fb19bb11b0","year":2012},"citing_paper":{"arxiv_id":"1908.11763","last_updated":"2019-08-30T14:42:50Z","snapshot_observed_at":"2026-08-14T10:05:28.604733Z","submitted_at":"2019-08-30T14:42:50Z","title":"Recursions for rational q,t-Catalan numbers","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T10:13:55.151821Z"},"links":{"citing_paper":"/paper/1908.11763"},"observation_digest":"sha256:b6251715e4105f082e95f1209a6329434579105863477831612ad27f1583cabf","observation_id":"2ff2044e-a54e-436c-ba92-32bf6bc67dae","resolution":{"observed_at":"2026-08-14T10:13:55.447549Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T10:13:55.427730Z","title":"Gorsky, S","venue":null,"work_id":"aeab0f96-90a6-41a0-9685-38388de50304","year":2018},"citing_paper":{"arxiv_id":"1908.11763","last_updated":"2019-08-30T14:42:50Z","snapshot_observed_at":"2026-08-14T10:05:28.604733Z","submitted_at":"2019-08-30T14:42:50Z","title":"Recursions for rational q,t-Catalan numbers","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T10:13:55.155407Z"},"links":{"citing_paper":"/paper/1908.11763"},"observation_digest":"sha256:fbd0eed6f295e2d21a6cba0dfefaf6ff1f230769ade1d556f2e72bfa808bb335","observation_id":"4a060f00-2ead-41d9-a121-b40ef2c0cee6","resolution":{"observed_at":"2026-08-14T10:13:55.432206Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T10:13:55.413046Z","title":"Gorsky, M","venue":null,"work_id":"c4727d3a-1037-495d-b999-c28061017dc3","year":2013},"citing_paper":{"arxiv_id":"1908.11763","last_updated":"2019-08-30T14:42:50Z","snapshot_observed_at":"2026-08-14T10:05:28.604733Z","submitted_at":"2019-08-30T14:42:50Z","title":"Recursions for rational q,t-Catalan numbers","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T10:13:55.159134Z"},"links":{"citing_paper":"/paper/1908.11763"},"observation_digest":"sha256:b4ba9a3cff83bba07509326ca3e01c0ca825885a3b9ba0d4b661818a247ba403","observation_id":"3e6705e4-c872-45a6-8f70-ad01bbd1296f","resolution":{"observed_at":"2026-08-14T10:13:55.417881Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T10:13:55.399628Z","title":"Gorsky, M","venue":null,"work_id":"086774d8-2d5f-419f-886c-1507b02d08d3","year":2014},"citing_paper":{"arxiv_id":"1908.11763","last_updated":"2019-08-30T14:42:50Z","snapshot_observed_at":"2026-08-14T10:05:28.604733Z","submitted_at":"2019-08-30T14:42:50Z","title":"Recursions for rational q,t-Catalan numbers","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T10:13:55.163112Z"},"links":{"citing_paper":"/paper/1908.11763"},"observation_digest":"sha256:c7a71c8f875bb9bb6b79d8b1e3e3bb5b31ca4cba06a60133ad990e7f2da3894e","observation_id":"608d02ea-a629-4756-9643-105457c6f03f","resolution":{"observed_at":"2026-08-14T10:13:55.403784Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T10:13:55.385206Z","title":"Gorsky, M","venue":null,"work_id":"9cce8c83-16a5-4752-9d16-5be2f08b953a","year":2017},"citing_paper":{"arxiv_id":"1908.11763","last_updated":"2019-08-30T14:42:50Z","snapshot_observed_at":"2026-08-14T10:05:28.604733Z","submitted_at":"2019-08-30T14:42:50Z","title":"Recursions for rational q,t-Catalan numbers","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T10:13:55.167292Z"},"links":{"citing_paper":"/paper/1908.11763"},"observation_digest":"sha256:a993bcd6d02c14909d54d5a0bdcdd6381445682eec4e902644b31e371a4a2f4b","observation_id":"5f0f5c42-5e97-48ea-8cd5-424f060476af","resolution":{"observed_at":"2026-08-14T10:13:55.390235Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T10:13:55.370148Z","title":"Gorsky, A","venue":null,"work_id":"9327a771-a7e0-4181-8550-34dc0e5ff1a7","year":2015},"citing_paper":{"arxiv_id":"1908.11763","last_updated":"2019-08-30T14:42:50Z","snapshot_observed_at":"2026-08-14T10:05:28.604733Z","submitted_at":"2019-08-30T14:42:50Z","title":"Recursions for rational q,t-Catalan numbers","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T10:13:55.171333Z"},"links":{"citing_paper":"/paper/1908.11763"},"observation_digest":"sha256:83314c9ef708786ff97795b49b06fb7657b92f4edbccf5ceb7cb0ff21de2db09","observation_id":"de3394a9-138d-4e5b-bfa9-b8afca14ecc5","resolution":{"observed_at":"2026-08-14T10:13:55.375466Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1608.07308","last_updated":"2016-08-25T20:46:32Z","snapshot_observed_at":"2026-08-14T21:42:44.751754Z","submitted_at":"2016-08-25T20:46:32Z","title":"Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1608.07308","snapshot_observed_at":"2026-08-14T10:13:55.175521Z","title":"Gorsky, A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.11763","last_updated":"2019-08-30T14:42:50Z","snapshot_observed_at":"2026-08-14T10:05:28.604733Z","submitted_at":"2019-08-30T14:42:50Z","title":"Recursions for rational q,t-Catalan numbers","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T10:13:55.175521Z"},"links":{"cited_paper":"/paper/1608.07308","citing_paper":"/paper/1908.11763"},"observation_digest":"sha256:18b4c33951b01631341a43471ec54ca704034cfe91f8eaf9eb5e741e361bc3ed","observation_id":"4e620a98-35e9-41ab-ae51-3dd26147e803","resolution":{"observed_at":"2026-08-14T10:13:55.175521Z","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":"2026-08-14T10:13:55.355422Z","title":"Gukov, M","venue":null,"work_id":"2500caed-c3f7-4532-a0b5-09fac6881b2a","year":2011},"citing_paper":{"arxiv_id":"1908.11763","last_updated":"2019-08-30T14:42:50Z","snapshot_observed_at":"2026-08-14T10:05:28.604733Z","submitted_at":"2019-08-30T14:42:50Z","title":"Recursions for rational q,t-Catalan numbers","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T10:13:55.180809Z"},"links":{"citing_paper":"/paper/1908.11763"},"observation_digest":"sha256:89c406a61aba04dc12997227b7a8203ee8bca64109c400f8dad2510875c1de28","observation_id":"203e4726-2812-4186-9f4f-fc9b68fd7234","resolution":{"observed_at":"2026-08-14T10:13:55.359909Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T10:13:55.341871Z","title":"Haglund, The q, t-Catalan Numbers and the Space of Diagonal Harmonics: With a n Appendix on the Combinatorics of Macdonald Polynomials","venue":null,"work_id":"3ed6645c-0ed1-4599-aa58-24810613eef4","year":2008},"citing_paper":{"arxiv_id":"1908.11763","last_updated":"2019-08-30T14:42:50Z","snapshot_observed_at":"2026-08-14T10:05:28.604733Z","submitted_at":"2019-08-30T14:42:50Z","title":"Recursions for rational q,t-Catalan numbers","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T10:13:55.184897Z"},"links":{"citing_paper":"/paper/1908.11763"},"observation_digest":"sha256:247f5776e8554de90724ce008d71ec358be748912778bd1dc5d2010d72a6aa37","observation_id":"b444512d-a94a-4a91-ac98-37ed314ddd36","resolution":{"observed_at":"2026-08-14T10:13:55.346450Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1704.01562","last_updated":"2017-04-05T17:57:15Z","snapshot_observed_at":"2026-08-14T21:08:07.355407Z","submitted_at":"2017-04-05T17:57:15Z","title":"Khovanov-Rozansky homology and higher Catalan sequences","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1704.01562","snapshot_observed_at":"2026-08-14T10:13:55.189171Z","title":"Hogancamp","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.11763","last_updated":"2019-08-30T14:42:50Z","snapshot_observed_at":"2026-08-14T10:05:28.604733Z","submitted_at":"2019-08-30T14:42:50Z","title":"Recursions for rational q,t-Catalan numbers","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T10:13:55.189171Z"},"links":{"cited_paper":"/paper/1704.01562","citing_paper":"/paper/1908.11763"},"observation_digest":"sha256:1699c36512d230621a3305c6cbae4af581a92a394d25c47a9e4c702bfb5c5683","observation_id":"3df93306-1a1e-4a32-be5c-d43a132043c9","resolution":{"observed_at":"2026-08-14T10:13:55.189171Z","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":"2026-08-14T10:13:55.328986Z","title":"Hogancamp, A","venue":null,"work_id":"04926c7e-21f5-4619-99d4-d1a5b8c430ab","year":null},"citing_paper":{"arxiv_id":"1908.11763","last_updated":"2019-08-30T14:42:50Z","snapshot_observed_at":"2026-08-14T10:05:28.604733Z","submitted_at":"2019-08-30T14:42:50Z","title":"Recursions for rational q,t-Catalan numbers","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T10:13:55.193892Z"},"links":{"citing_paper":"/paper/1908.11763"},"observation_digest":"sha256:53f765b7c619cd4adde13f2188538a97c19f405a6c5f9a5b7791bc06a05e4151","observation_id":"18041654-4ecd-406a-b20d-3a501ae18402","resolution":{"observed_at":"2026-08-14T10:13:55.333022Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T10:13:55.315879Z","title":"Khovanov","venue":null,"work_id":"eaa4c7de-88de-437d-a3a5-e7e15fe75869","year":2008},"citing_paper":{"arxiv_id":"1908.11763","last_updated":"2019-08-30T14:42:50Z","snapshot_observed_at":"2026-08-14T10:05:28.604733Z","submitted_at":"2019-08-30T14:42:50Z","title":"Recursions for rational q,t-Catalan numbers","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T10:13:55.198454Z"},"links":{"citing_paper":"/paper/1908.11763"},"observation_digest":"sha256:93df53cadbdc4857561eb861d0910fbb4bb2456aab42c359823eae8d19914a13","observation_id":"5ecca27a-ee99-4d09-bf17-339b160b1ae8","resolution":{"observed_at":"2026-08-14T10:13:55.320153Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T10:13:55.300318Z","title":"Khovanov","venue":null,"work_id":"112a5843-7886-4415-880f-a1166931738b","year":2007},"citing_paper":{"arxiv_id":"1908.11763","last_updated":"2019-08-30T14:42:50Z","snapshot_observed_at":"2026-08-14T10:05:28.604733Z","submitted_at":"2019-08-30T14:42:50Z","title":"Recursions for rational q,t-Catalan numbers","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T10:13:55.202680Z"},"links":{"citing_paper":"/paper/1908.11763"},"observation_digest":"sha256:781390dcf7c0f2d62a12e530d1c086a7b37a42ced8fe408600fe6bf0083a16bb","observation_id":"d925323e-1f51-4eaf-9387-54afdd19b05c","resolution":{"observed_at":"2026-08-14T10:13:55.306007Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1604.07456","last_updated":"2016-04-25T21:55:57Z","snapshot_observed_at":"2026-08-17T04:15:02.779387Z","submitted_at":"2016-04-25T21:55:57Z","title":"Toric braids and $(m,n)$-parking functions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1604.07456","snapshot_observed_at":"2026-08-14T10:13:55.206755Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.11763","last_updated":"2019-08-30T14:42:50Z","snapshot_observed_at":"2026-08-14T10:05:28.604733Z","submitted_at":"2019-08-30T14:42:50Z","title":"Recursions for rational q,t-Catalan numbers","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T10:13:55.206755Z"},"links":{"cited_paper":"/paper/1604.07456","citing_paper":"/paper/1908.11763"},"observation_digest":"sha256:37b0f0b151d117ce2f6cf92e81ee443f0c50b2e067046a07cbd642ad8bc1f52c","observation_id":"30b081ed-04e4-4294-9148-609fa84df75b","resolution":{"observed_at":"2026-08-14T10:13:55.206755Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1704.07630","last_updated":"2017-04-25T11:03:44Z","snapshot_observed_at":"2026-08-14T21:04:54.815051Z","submitted_at":"2017-04-25T11:03:44Z","title":"Homology of torus knots","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1704.07630","snapshot_observed_at":"2026-08-14T10:13:55.211710Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.11763","last_updated":"2019-08-30T14:42:50Z","snapshot_observed_at":"2026-08-14T10:05:28.604733Z","submitted_at":"2019-08-30T14:42:50Z","title":"Recursions for rational q,t-Catalan numbers","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T10:13:55.211710Z"},"links":{"cited_paper":"/paper/1704.07630","citing_paper":"/paper/1908.11763"},"observation_digest":"sha256:96eee177e065cb0ee36881dc9ec6434cd8e29cf839e5b5df92ddd4949203b841","observation_id":"53a023f1-3045-4744-bbd8-de0e9b4b19f2","resolution":{"observed_at":"2026-08-14T10:13:55.211710Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"1908.11763","last_updated":"2019-08-30T14:42:50Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-14T10:05:28.604733Z","submitted_at":"2019-08-30T14:42:50Z","title":"Recursions for rational q,t-Catalan numbers"},"reference_resolution":{"displayed":21,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":0,"verified_fuzzy":16},"total_outbound_references":21},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:1908.11763."}