{"as_of":"2026-08-18T16:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b02cdfd3e144fbb3b674fd55c5fa162dd7c3c0bb5da424a931298bec8ec43736","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":"2026-08-06T18:17:47.351627Z","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":"2026-08-18T06:34:40.430872+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/2507.08722/citation-record","integrity":"/paper/2507.08722/integrity","json":"/paper/2507.08722/citation-record.json","paper":"/paper/2507.08722"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:17:49.775763Z","title":"Aziz and J","venue":null,"work_id":"eb221248-043e-4f25-ac6f-28d2dda4127c","year":null},"citing_paper":{"arxiv_id":"2507.08722","last_updated":"2025-07-11T16:21:54Z","snapshot_observed_at":"2026-08-14T02:28:43.832411Z","submitted_at":"2025-07-11T16:21:54Z","title":"Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T18:17:46.003000Z"},"links":{"citing_paper":"/paper/2507.08722"},"observation_digest":"sha256:8a8a9937a4bfcd717500886bb54c1d9f0820375924fafe67418365c7d7c710df","observation_id":"2ebcfc92-181d-4433-b714-d713e3c09b7b","resolution":{"observed_at":"2026-08-06T18:17:49.808525Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-06T18:17:49.714061Z","title":"Brzezi´ nski,Hopf-cyclic homology with contramodule coefficients, in Quantum groups and noncommutative spaces, 1–8, 2008","venue":null,"work_id":"615cc992-5ae3-44a8-85ee-6adbc8f2b9c1","year":2008},"citing_paper":{"arxiv_id":"2507.08722","last_updated":"2025-07-11T16:21:54Z","snapshot_observed_at":"2026-08-14T02:28:43.832411Z","submitted_at":"2025-07-11T16:21:54Z","title":"Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T18:17:46.053686Z"},"links":{"citing_paper":"/paper/2507.08722"},"observation_digest":"sha256:f75720ceacb243ff0a57914d0276e3f69e99bed83449b97424e7f5a407d947d8","observation_id":"f315090e-afe3-4790-aedd-9c7147f628d9","resolution":{"observed_at":"2026-08-06T18:17:49.743182Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-06T18:17:49.644285Z","title":"Caenepeel, E","venue":null,"work_id":"c01038c6-74c8-4884-91d7-b18bd1cd1201","year":2007},"citing_paper":{"arxiv_id":"2507.08722","last_updated":"2025-07-11T16:21:54Z","snapshot_observed_at":"2026-08-14T02:28:43.832411Z","submitted_at":"2025-07-11T16:21:54Z","title":"Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T18:17:46.122089Z"},"links":{"citing_paper":"/paper/2507.08722"},"observation_digest":"sha256:a3e54b314a6c4181b996049d4c06c72f8fc1f6f17754b4679785be7f74fc0290","observation_id":"cf4918d0-4422-47b3-b599-a90416885267","resolution":{"observed_at":"2026-08-06T18:17:49.672941Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-06T18:17:49.580739Z","title":"Caenepeel, G","venue":null,"work_id":"6cec56b8-6fa5-4806-920e-c86c8f3802b2","year":2004},"citing_paper":{"arxiv_id":"2507.08722","last_updated":"2025-07-11T16:21:54Z","snapshot_observed_at":"2026-08-14T02:28:43.832411Z","submitted_at":"2025-07-11T16:21:54Z","title":"Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T18:17:46.196983Z"},"links":{"citing_paper":"/paper/2507.08722"},"observation_digest":"sha256:6a4c06d7dcabec2e540a840e121d086c2e88efe1e146371ea6411d186dc8380a","observation_id":"782f4c66-f20f-4dc8-83c7-bc547995ebf3","resolution":{"observed_at":"2026-08-06T18:17:49.611134Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-06T18:17:49.446168Z","title":"Caenepeel, F","venue":null,"work_id":"f9c76f36-f20c-48a4-81ec-499acd0f6927","year":1997},"citing_paper":{"arxiv_id":"2507.08722","last_updated":"2025-07-11T16:21:54Z","snapshot_observed_at":"2026-08-14T02:28:43.832411Z","submitted_at":"2025-07-11T16:21:54Z","title":"Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T18:17:46.281474Z"},"links":{"citing_paper":"/paper/2507.08722"},"observation_digest":"sha256:2441f92e62e7b9f6188a8391a631d7ad0a0817493e3ce5e254128cd4cde70b2f","observation_id":"d4792f73-9786-4908-9ff5-e7b0cf28323b","resolution":{"observed_at":"2026-08-06T18:17:49.517392Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-06T18:17:49.357452Z","title":"Drinfeld, Quantum groups, in A","venue":null,"work_id":"b41a6897-fd5c-4623-8f7c-3e9c9c25bc94","year":1986},"citing_paper":{"arxiv_id":"2507.08722","last_updated":"2025-07-11T16:21:54Z","snapshot_observed_at":"2026-08-14T02:28:43.832411Z","submitted_at":"2025-07-11T16:21:54Z","title":"Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T18:17:46.345862Z"},"links":{"citing_paper":"/paper/2507.08722"},"observation_digest":"sha256:b934f2ced9bda39e24aa6039615306e2262d47c1b7c5c045384edebb83b302d0","observation_id":"2ac9fb0a-a6a7-4bd5-b08b-b76b4a925593","resolution":{"observed_at":"2026-08-06T18:17:49.425614Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-06T18:17:49.215981Z","title":"Femi´ c,Turaev bicategories and generalized Yetter-Drinfeld modules in 2-categories, Israel J","venue":null,"work_id":"1a804c37-2640-4282-b1cd-3118470efd6d","year":2021},"citing_paper":{"arxiv_id":"2507.08722","last_updated":"2025-07-11T16:21:54Z","snapshot_observed_at":"2026-08-14T02:28:43.832411Z","submitted_at":"2025-07-11T16:21:54Z","title":"Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T18:17:46.404724Z"},"links":{"citing_paper":"/paper/2507.08722"},"observation_digest":"sha256:26b2292ae63862245b9554f2f89be0ddc6dccf2e6eb8870b3db75e96eea98862","observation_id":"23ec3193-5e5e-41f4-8d2d-acfa555c42fd","resolution":{"observed_at":"2026-08-06T18:17:49.289647Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-06T18:17:49.069897Z","title":"Gelaki, D","venue":null,"work_id":"09dc8acd-af66-4d88-b50b-7ef8045625a1","year":2009},"citing_paper":{"arxiv_id":"2507.08722","last_updated":"2025-07-11T16:21:54Z","snapshot_observed_at":"2026-08-14T02:28:43.832411Z","submitted_at":"2025-07-11T16:21:54Z","title":"Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T18:17:46.505725Z"},"links":{"citing_paper":"/paper/2507.08722"},"observation_digest":"sha256:3169ac4368d13fafb47a6c2c887296cc6b86a3ac9f03767f25b6d27ddaf5d9b3","observation_id":"99f8b718-bb88-43a5-b07b-04ddd9e570b9","resolution":{"observed_at":"2026-08-06T18:17:49.133044Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.10113","last_updated":"2025-01-17T10:55:48Z","snapshot_observed_at":"2026-08-17T07:13:55.690973Z","submitted_at":"2025-01-17T10:55:48Z","title":"2D HQFTs and Frobenius $(\\mathcal{G},\\mathcal{V})$-categories","version":1},"cited_work":{"arxiv_id":"2501.10113","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.10113","snapshot_observed_at":"2026-08-06T18:17:47.627392Z","title":"2D HQFTs and Frobenius $(\\mathcal{G},\\mathcal{V})$-categories","venue":"math.QA","work_id":"ad663df3-d684-4330-b658-5ec23758773c","year":2025},"citing_paper":{"arxiv_id":"2507.08722","last_updated":"2025-07-11T16:21:54Z","snapshot_observed_at":"2026-08-14T02:28:43.832411Z","submitted_at":"2025-07-11T16:21:54Z","title":"Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T18:17:46.568649Z"},"links":{"cited_paper":"/paper/2501.10113","citing_paper":"/paper/2507.08722"},"observation_digest":"sha256:46d344cae6834eee4e2f4894443fff05eae4b0741c4eedfcfe761c11f1c5f430","observation_id":"271b6fb4-2c3f-439c-8979-4c1ada98b512","resolution":{"observed_at":"2026-08-06T18:17:47.680766Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-06T18:17:48.921499Z","title":null,"venue":null,"work_id":"677f1db2-ab06-4e00-bc77-39913f4a592c","year":2003},"citing_paper":{"arxiv_id":"2507.08722","last_updated":"2025-07-11T16:21:54Z","snapshot_observed_at":"2026-08-14T02:28:43.832411Z","submitted_at":"2025-07-11T16:21:54Z","title":"Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T18:17:46.649796Z"},"links":{"citing_paper":"/paper/2507.08722"},"observation_digest":"sha256:366163f62ba6bb4744f0e32ab3fd25156151430fb1cf4553d022a8e2fdff1b94","observation_id":"33744a60-0a5c-42bf-8c4d-10809c788c4b","resolution":{"observed_at":"2026-08-06T18:17:48.990637Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-06T18:17:48.769266Z","title":"Hassanzadeh, M","venue":null,"work_id":"10ded165-4d34-449f-8dd5-b4b357e986c8","year":2019},"citing_paper":{"arxiv_id":"2507.08722","last_updated":"2025-07-11T16:21:54Z","snapshot_observed_at":"2026-08-14T02:28:43.832411Z","submitted_at":"2025-07-11T16:21:54Z","title":"Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T18:17:46.728152Z"},"links":{"citing_paper":"/paper/2507.08722"},"observation_digest":"sha256:0feb7763238bcdf308fc4e58811d527a509962b664cfd9bf39bc3cfbb99e6026","observation_id":"126789ed-bb06-4d8e-b227-8112d80da84e","resolution":{"observed_at":"2026-08-06T18:17:48.830924Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-06T18:17:48.658667Z","title":"Laugwitz, Robert, C","venue":null,"work_id":"05903684-7e5c-4d3e-a4c4-ffd95102a4fa","year":2025},"citing_paper":{"arxiv_id":"2507.08722","last_updated":"2025-07-11T16:21:54Z","snapshot_observed_at":"2026-08-14T02:28:43.832411Z","submitted_at":"2025-07-11T16:21:54Z","title":"Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T18:17:46.808027Z"},"links":{"citing_paper":"/paper/2507.08722"},"observation_digest":"sha256:91bef8d3b4875d692ab8fda536fbcb40bd33f887e7eda25472c9046d0a51f5eb","observation_id":"a951a7a3-de3d-4ac5-a217-4228b63e576b","resolution":{"observed_at":"2026-08-06T18:17:48.716894Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-06T18:17:48.547928Z","title":"Mac Lane","venue":null,"work_id":"d87ff9b4-8ffd-4a75-8b75-c2e003f00d83","year":1971},"citing_paper":{"arxiv_id":"2507.08722","last_updated":"2025-07-11T16:21:54Z","snapshot_observed_at":"2026-08-14T02:28:43.832411Z","submitted_at":"2025-07-11T16:21:54Z","title":"Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T18:17:46.902019Z"},"links":{"citing_paper":"/paper/2507.08722"},"observation_digest":"sha256:18c8318756e2fc8d92350400ae691bc736568ac55ad8bfca0af0021cd57a0215","observation_id":"541b9c4c-94d2-43a7-80a3-bebefef0676e","resolution":{"observed_at":"2026-08-06T18:17:48.613202Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-06T18:17:48.389174Z","title":"Geometry and Physics","venue":null,"work_id":"dba16053-c484-4b37-a774-09a1441d94c5","year":1991},"citing_paper":{"arxiv_id":"2507.08722","last_updated":"2025-07-11T16:21:54Z","snapshot_observed_at":"2026-08-14T02:28:43.832411Z","submitted_at":"2025-07-11T16:21:54Z","title":"Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T18:17:46.979326Z"},"links":{"citing_paper":"/paper/2507.08722"},"observation_digest":"sha256:afa60869c7264693639fa790db3b9db7b95b63e9330931a7d0150abd9ecb9120","observation_id":"6b5af5b3-d5da-4733-ba38-8f1438b70f4e","resolution":{"observed_at":"2026-08-06T18:17:48.460390Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-06T18:17:48.268948Z","title":null,"venue":null,"work_id":"8b5cb0ef-fe86-4cbe-aa45-1af5462e8145","year":2000},"citing_paper":{"arxiv_id":"2507.08722","last_updated":"2025-07-11T16:21:54Z","snapshot_observed_at":"2026-08-14T02:28:43.832411Z","submitted_at":"2025-07-11T16:21:54Z","title":"Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T18:17:47.047964Z"},"links":{"citing_paper":"/paper/2507.08722"},"observation_digest":"sha256:d48aca9008c04a6da13b5a1320ad26420908253c12bba4ef7b2fd2549f8a25d5","observation_id":"6e3e9834-db8d-44c1-ad66-3c8f486d14c8","resolution":{"observed_at":"2026-08-06T18:17:48.343548Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-06T18:17:48.181446Z","title":"Mesablishvili, Monads of effective descent type and comonadicity, Theory Appl","venue":null,"work_id":"136f720f-cc36-486a-92f3-393a2abd5cd0","year":2006},"citing_paper":{"arxiv_id":"2507.08722","last_updated":"2025-07-11T16:21:54Z","snapshot_observed_at":"2026-08-14T02:28:43.832411Z","submitted_at":"2025-07-11T16:21:54Z","title":"Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T18:17:47.116833Z"},"links":{"citing_paper":"/paper/2507.08722"},"observation_digest":"sha256:df49c7b22f0b3b8d96d95482e5a76f63f910af222312d42b92ab9b47052bb09e","observation_id":"1acebb66-8f83-4f72-89f3-3eca7437c7ab","resolution":{"observed_at":"2026-08-06T18:17:48.226225Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-06T18:17:48.066587Z","title":"Panaite and M","venue":null,"work_id":"50f3912f-9586-4afa-8f43-eba6dd331329","year":2007},"citing_paper":{"arxiv_id":"2507.08722","last_updated":"2025-07-11T16:21:54Z","snapshot_observed_at":"2026-08-14T02:28:43.832411Z","submitted_at":"2025-07-11T16:21:54Z","title":"Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T18:17:47.200188Z"},"links":{"citing_paper":"/paper/2507.08722"},"observation_digest":"sha256:ce746df57f882711eff9ee7d71e700848c7b71b8f73d803f57cd92732916ff7f","observation_id":"740d03a7-d3d9-468d-b072-6b141dd4dd05","resolution":{"observed_at":"2026-08-06T18:17:48.116710Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-06T18:17:47.957589Z","title":"Schauenburg, Hopf-Galois and bi-Galois extensions, Fields Inst","venue":null,"work_id":"15e1024f-1870-4380-a504-113dd3122faf","year":2004},"citing_paper":{"arxiv_id":"2507.08722","last_updated":"2025-07-11T16:21:54Z","snapshot_observed_at":"2026-08-14T02:28:43.832411Z","submitted_at":"2025-07-11T16:21:54Z","title":"Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T18:17:47.239166Z"},"links":{"citing_paper":"/paper/2507.08722"},"observation_digest":"sha256:9422be51e6bbef3caca84567a15a7ffd5dfb6234d7b282f00063ac0a5c285510","observation_id":"9434ecc6-48e4-4990-8969-605832c20611","resolution":{"observed_at":"2026-08-06T18:17:47.994096Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-06T18:17:47.839212Z","title":"S¨ ozer and A","venue":null,"work_id":"40a198b4-3179-4272-a76c-5420418489ca","year":2023},"citing_paper":{"arxiv_id":"2507.08722","last_updated":"2025-07-11T16:21:54Z","snapshot_observed_at":"2026-08-14T02:28:43.832411Z","submitted_at":"2025-07-11T16:21:54Z","title":"Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T18:17:47.259649Z"},"links":{"citing_paper":"/paper/2507.08722"},"observation_digest":"sha256:436107da091d8b3dd5328036683baa0a3f29b244ebcd48b067d320aa80f2a0a1","observation_id":"9a0039f8-71f7-465f-b6a1-b342ef56f8af","resolution":{"observed_at":"2026-08-06T18:17:47.891061Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"math.gt/0005291","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:17:47.507780Z","title":null,"venue":null,"work_id":"56397dac-0a3e-41b3-b5b3-42ac8a9afa82","year":2000},"citing_paper":{"arxiv_id":"2507.08722","last_updated":"2025-07-11T16:21:54Z","snapshot_observed_at":"2026-08-14T02:28:43.832411Z","submitted_at":"2025-07-11T16:21:54Z","title":"Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T18:17:47.293738Z"},"links":{"citing_paper":"/paper/2507.08722"},"observation_digest":"sha256:a517ea9fea294862ecf72d09d4cc967b9ea94c6a63ba2f77360475892869034c","observation_id":"878acff4-6895-4c6b-9d2d-9c8cbd9f4638","resolution":{"observed_at":"2026-08-06T18:17:47.556165Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-06T18:17:47.734362Z","title":null,"venue":null,"work_id":"6c93fc05-c026-43ae-b8a4-53865c86face","year":2010},"citing_paper":{"arxiv_id":"2507.08722","last_updated":"2025-07-11T16:21:54Z","snapshot_observed_at":"2026-08-14T02:28:43.832411Z","submitted_at":"2025-07-11T16:21:54Z","title":"Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T18:17:47.351627Z"},"links":{"citing_paper":"/paper/2507.08722"},"observation_digest":"sha256:12cb15028d03ee1eca39d12bd52d31d81d0b2485367eead2614ded8ae8ecd79e","observation_id":"4657f6ba-af21-47e2-9ac4-13fb36e104a4","resolution":{"observed_at":"2026-08-06T18:17:47.780222Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.08722","last_updated":"2025-07-11T16:21:54Z","latest_version":1,"primary_category":"math.RA","snapshot_observed_at":"2026-08-14T02:28:43.832411Z","submitted_at":"2025-07-11T16:21:54Z","title":"Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories"},"reference_resolution":{"displayed":21,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":2,"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2507.08722."}