{"as_of":"2026-08-13T01:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c6070400a6bcef8efe15b572e6ed526d1ec12a4b0bd27034cc0e1c5754d74afd","coverage":[{"denominator":27,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":27,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T12:23:06.617367Z","state":"measured"},{"denominator":27,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":27,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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/2411.17306/citation-record","integrity":"/paper/2411.17306/integrity","json":"/paper/2411.17306/citation-record.json","paper":"/paper/2411.17306"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:23:06.831401Z","title":"Arnaudon, E","venue":null,"work_id":"2da6c880-ab3e-4172-8678-73ee8a903e9f","year":1998},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.546756Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:13e2c0ac98505ec18fa1b3300c98c27b6f1423e51a44f6fad5937f78ebbe8f51","observation_id":"8956c1e7-6b07-4e86-9298-51c5652b8284","resolution":{"observed_at":"2026-08-12T12:23:06.834396Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.824314Z","title":"Brochier, Cyclotomic associators and finite type invariants for tangles in the solid torus","venue":null,"work_id":"3db98ece-7d32-4b38-b4b8-dcc83e00839f","year":2013},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.550441Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:3fa6fe19ae0160fa06c1b9a767c7f4bee5114b44628449df61e83735e35249d9","observation_id":"cf647e30-d10b-412d-b18c-99379c151f24","resolution":{"observed_at":"2026-08-12T12:23:06.827041Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.816659Z","title":"De Clercq, N","venue":null,"work_id":"5b2c7eb9-c370-4223-a113-ecdbaeb46db7","year":2024},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.553827Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:08027c0ad9c4204d18d61fef61c637587192723d426ccbf18e6d21b676dbe182","observation_id":"f6a696ab-11ef-4e60-9b10-8dcdc7fa88d8","resolution":{"observed_at":"2026-08-12T12:23:06.819800Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.808204Z","title":"De Clercq, Graphical calculus for quantum vertex operators","venue":null,"work_id":"989cb93f-171e-4e7d-9394-293e5a42166a","year":2023},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.558155Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:cc0a0359b5c508a27b24bd617f113c32d52b7b9041a1b2e21c0a0f048cee8024","observation_id":"77e6c530-b3cf-438a-a94c-f904d1df3e4c","resolution":{"observed_at":"2026-08-12T12:23:06.811192Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.800805Z","title":"Drinfeld, On almost cocommutative Hopf algebras","venue":null,"work_id":"b712b8ad-c5a8-4046-bdea-d6859f21a384","year":1990},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.560773Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:4b00cc2116b3209dd2d4ee3ad28f03a87d4099cb12ac8255903526db0dab41a2","observation_id":"3132cbd4-4834-4ee7-ab51-51d16fd9a1ea","resolution":{"observed_at":"2026-08-12T12:23:06.803434Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.793240Z","title":"Etingof, S","venue":null,"work_id":"806afa7b-6acf-43fb-8089-4f93aa2d477a","year":2015},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.563565Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:4a3a479b6ace405ab467268c37494ce3a18da49842ff26a0c56234be0f33cba2","observation_id":"fa78036b-1d95-4360-ad20-90ced0f3a658","resolution":{"observed_at":"2026-08-12T12:23:06.796570Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.786982Z","title":"Etingof, A.A","venue":null,"work_id":"f8449155-3aef-4e40-81bd-400f6c237c73","year":1994},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.566067Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:3f583f81dcb1f2abc920d2dc28540bf99cbc5d1d1ef6a035ebec51059483bf48","observation_id":"45eca317-6bac-4a7e-8694-729b99a08614","resolution":{"observed_at":"2026-08-12T12:23:06.789334Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.779867Z","title":"Etingof, F","venue":null,"work_id":"5d2afd7a-14e8-4e2a-9371-48a34440313b","year":2005},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.568701Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:03ecd4e359bdb1e95a56a0c8613ab812a72fc03d9f5d5b048021e92524df93de","observation_id":"176d7234-c1db-458c-b903-a133557601c0","resolution":{"observed_at":"2026-08-12T12:23:06.782377Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.772389Z","title":"Etingof, O","venue":null,"work_id":"c2f6a169-f4cb-4ebf-bd09-3cee548a5c0a","year":1999},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.571079Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:cd742917810ec5930dfa083961f1cdea3bf449db56c7760f4702d8b36c1c2c7a","observation_id":"aa0eefea-1e2a-4236-9a51-f247e9aef439","resolution":{"observed_at":"2026-08-12T12:23:06.774917Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.765713Z","title":"Etingof, O","venue":null,"work_id":"9675d536-a668-438e-842a-9331f094c5b8","year":2001},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.574063Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:989af67f91251d009dc33cc16581923110ff678724ddfbda6316a13215f002fb","observation_id":"1c0a3a10-eb45-4002-b124-445ad64ce354","resolution":{"observed_at":"2026-08-12T12:23:06.768165Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.758074Z","title":"Etingof, K","venue":null,"work_id":"da449735-4e06-4e42-aeb0-b06ca85585c7","year":1998},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.576876Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:02440e908905e5e7d69509833a0f2f669fa2a81affb75553a93ecbfa5b2c7bf4","observation_id":"370c355f-78c3-4b83-aadb-6e1a63412e07","resolution":{"observed_at":"2026-08-12T12:23:06.761523Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.750297Z","title":"Etingof, A","venue":null,"work_id":"1d3e242a-208e-4be5-ab9c-d8f4621a6a89","year":1999},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.579239Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:f619454bc109567414aec54aed69aedfc9af6ae6b4cc3801423df6fde44ce0c7","observation_id":"4e9935ef-e6a5-4666-b70d-75c8f7f72499","resolution":{"observed_at":"2026-08-12T12:23:06.752937Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.743208Z","title":"Etingof, A","venue":null,"work_id":"55ea21d3-a683-48a2-9995-6e03257192aa","year":2000},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.581365Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:65c7e71e945e5bbf79de098b1ca692332a3e9cc390258f6efb5e2bb71955bf59","observation_id":"daf1862e-115e-4ca8-bdec-f3fe7a5cb08d","resolution":{"observed_at":"2026-08-12T12:23:06.745652Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.734971Z","title":"Frenkel, N.Yu","venue":null,"work_id":"b0e501c0-2f39-406e-beca-99a69d646072","year":1992},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.584194Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:162e316ab5f7a032a584a4b2eb5ec8ff637db844ab8c70e421c344e83f12b4e7","observation_id":"045d06ac-bb30-4e04-86c1-af010a2875d2","resolution":{"observed_at":"2026-08-12T12:23:06.738609Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.727694Z","title":"Humphreys, Representations of semisimple Lie algebras in the BGG category O","venue":null,"work_id":"85a46dcd-49e6-4e31-8d94-c03a96737195","year":2008},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.586428Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:aecd0ab15d2b5ea5bf48146484e675efea67470f85fb7276602396b5ab663a31","observation_id":"db9ac44c-9b16-4ed4-9106-9235c5c387fa","resolution":{"observed_at":"2026-08-12T12:23:06.730309Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.721075Z","title":"Joyal, R","venue":null,"work_id":"a3fd1782-9c8c-40c0-8e4a-1bc701d138f3","year":1993},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.589208Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:18782f6389c8ea35868ec26485855507e5bf17015f4ff5dc3ea3ce1764b7cb3d","observation_id":"1677f7fe-85ac-4bb9-9083-725d42c2e040","resolution":{"observed_at":"2026-08-12T12:23:06.723426Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.713351Z","title":"Kassel, Quantum groups","venue":null,"work_id":"5ed90465-5871-49ca-a8ca-5ff4812bd41a","year":1995},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.591529Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:60efc835f2784db5a6c02571a1eff01dff89eaa0076915414b588bc950efbd4d","observation_id":"059b6d1e-008a-49f8-9323-03ded0a4247e","resolution":{"observed_at":"2026-08-12T12:23:06.715945Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.706189Z","title":"Kolb, Quantum symmetric Kac-Moody pairs","venue":null,"work_id":"0d7945bb-4372-4a1d-9c17-72f97d616e28","year":2014},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.594328Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:4f2691a10e62f9cc8f1d46aa1dc44230322560c9ae2cd832200cf458196e64ad","observation_id":"e3a73554-5233-4f01-8c72-f6521aa698f6","resolution":{"observed_at":"2026-08-12T12:23:06.708984Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.697685Z","title":"Letzter, Symmetric pairs for quantized enveloping algebras","venue":null,"work_id":"2c445453-ab06-459b-b2b3-e3c183b2e790","year":1999},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.597531Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:e54f522a3a2d6ef829d54a4ae09823ca791d347eda0ef5f091857ad689307859","observation_id":"d0b82ab9-871f-490e-9977-9b6e3509506d","resolution":{"observed_at":"2026-08-12T12:23:06.700793Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.690310Z","title":"Lusztig, Introduction to Quantum Groups","venue":null,"work_id":"c450302c-3590-4805-8d11-9a6f5c7f1eb2","year":1994},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.600303Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:0440ce3030dc5eeb2b96a84c90e4da8c149a1e6040c757c3510cff8a2605bf6f","observation_id":"509a9e78-7e35-4e20-bf3c-2a9bb3f2c66a","resolution":{"observed_at":"2026-08-12T12:23:06.692918Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.682203Z","title":"Mac Lane, Categories for the Working Mathematician","venue":null,"work_id":"4133fc16-da29-4fca-b62a-61daa270dca3","year":1971},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.602605Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:fa9893f0debf996f5f83c27daddbd214c42876002c3d405ae455c1c442c39ea6","observation_id":"4f52c230-b483-4864-acf5-2f34d0e16df2","resolution":{"observed_at":"2026-08-12T12:23:06.685361Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.674776Z","title":"Reshetikhin, Quasitriangle Hopf algebras and invariants of tangles","venue":null,"work_id":"baf250cc-508f-402e-8eea-eb82c71c4d41","year":1990},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.605749Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:22dc5671dc70c2ac52cb039438cdd5587fe67989fe815d5871cef32c99ca1f03","observation_id":"57eeb383-7d40-4b1a-a49b-1c9a17a97425","resolution":{"observed_at":"2026-08-12T12:23:06.677605Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.667198Z","title":"Reshetikhin, J.V","venue":null,"work_id":"73327aa5-a908-4d5a-8916-de0585dd3c28","year":2022},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.608094Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:93d3db66c000758624ba9aa079e55ab6f3920de58a8064b6e47f1b43434b42d8","observation_id":"149a73de-5315-4405-bd0d-ce8f8fae3c84","resolution":{"observed_at":"2026-08-12T12:23:06.669904Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.indag.2024.03.008","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:23:06.635220Z","title":"Reshetikhin, J.V","venue":null,"work_id":"5fedf62f-1243-4f54-94de-6a0623aab8db","year":2024},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.610339Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:6edcc5a455f6a69a7f8f75d93f4e85ca58906b61b49d79d891e1f74d04182da2","observation_id":"b5230b66-43b4-4eff-88c8-d254b0bf3af8","resolution":{"observed_at":"2026-08-12T12:23:06.638652Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.659236Z","title":"Reshetikhin, V.G","venue":null,"work_id":"fec725b8-c1df-4f7e-9627-969696199fe2","year":1990},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.612795Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:41bf8cb203d8dc5aff42c7739d199a606ffbdc96b70fad14deabccadf2dbc8b1","observation_id":"973dcd39-238f-46a2-9599-0a2c5d8f0fb6","resolution":{"observed_at":"2026-08-12T12:23:06.662165Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.650762Z","title":"Stokman, N","venue":null,"work_id":"69ca4637-b02a-4e5f-9eee-d4ad4ee0680c","year":2022},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.615115Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:c20dfe2c8b7164c9693e46d61318f73f4ddb36111d895998a500cdb3d0b35ee2","observation_id":"3a4be285-7323-400e-8e38-6255d92f4aa8","resolution":{"observed_at":"2026-08-12T12:23:06.653829Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T12:23:06.643431Z","title":"Turaev, Quantum invariants of knots and 3-manifolds","venue":null,"work_id":"0995cd3b-57dd-4857-942a-6ea5777d1c4d","year":1994},"citing_paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:06.617367Z"},"links":{"citing_paper":"/paper/2411.17306"},"observation_digest":"sha256:6cae40c1aa339a271a73649383172cdcb6d079c9018d73bbeab27edb8c8a549d","observation_id":"9bf6c3f8-a011-4f3a-8c5a-b94d1d89ab8a","resolution":{"observed_at":"2026-08-12T12:23:06.646477Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.17306","last_updated":"2024-11-26T10:52:15Z","latest_version":1,"primary_category":"math.QA","snapshot_observed_at":"2026-08-12T13:07:20.019573Z","submitted_at":"2024-11-26T10:52:15Z","title":"Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations"},"reference_resolution":{"displayed":27,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":1,"verified_fuzzy":26},"total_outbound_references":27},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2411.17306."}