{"as_of":"2026-08-18T00:31:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4dee42c805bad313b1967501c30690e27aff5594d86e52979e834a991c75b894","coverage":[{"denominator":37,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":37,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T10:12:44.157896Z","state":"measured"},{"denominator":37,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":37,"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/2508.00597/citation-record","integrity":"/paper/2508.00597/integrity","json":"/paper/2508.00597/citation-record.json","paper":"/paper/2508.00597"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T10:12:44.654181Z","title":"Abe, ”Hopf algebras”, Cambridge: Cambridge University Press 1977","venue":null,"work_id":"0e4a0dce-4e82-4535-b648-e17d99ff6ff5","year":1977},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.016545Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:ed76f11bea02d2a8cfc87407ddb72096ff7d2112819a4a0f28922c582c573717","observation_id":"f4f858b4-4bee-4dd1-999a-c0973606acf5","resolution":{"observed_at":"2026-08-06T10:12:44.658642Z","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":"2026-08-06T10:12:44.640347Z","title":"New directions in Hopf algebras","venue":null,"work_id":"39df5630-8d1e-4495-9882-3bfa24f65c8d","year":2002},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.021044Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:5688e460eef12b19a47e305220cd4fe4095186e37115ff73e6277d12747ef7a8","observation_id":"bdb136bc-eef5-42a0-9b39-8a974c50b7cd","resolution":{"observed_at":"2026-08-06T10:12:44.644469Z","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":"2026-08-06T10:12:44.627264Z","title":"Angiono, Basic quasi-Hopf algebras over cyclic groups , Adv","venue":null,"work_id":"f6c3403e-72cb-44d9-beeb-f5f7a5f86f9c","year":2010},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.025177Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:ad07944533d30cf226dcd1997a03533572284b480ef1d7250ddab133b32c3ea3","observation_id":"04829508-6fb5-44be-a2b2-6c6652bc0ca6","resolution":{"observed_at":"2026-08-06T10:12:44.631381Z","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":"2026-08-06T10:12:44.614215Z","title":"Angiono, A.G","venue":null,"work_id":"afb7d675-389d-4ef9-886e-031c616391a2","year":2019},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.029165Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:1cf46b16e4d03a4e1d23733417a303b674a3c00d07ce88784dd9f61f0b669e31","observation_id":"f5ca8d67-1f6a-403c-9c7e-adacff92fb65","resolution":{"observed_at":"2026-08-06T10:12:44.618351Z","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":"2026-08-06T10:12:44.601469Z","title":"Bulacu, A structure theorem for quasi-Hopf bimodule coalgebras , Theory and Applications of Categories (TAC) 32(1) (2017), 1–30","venue":null,"work_id":"158c9caa-96f1-4ed9-bcf8-e9bac0083f2a","year":2017},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.033464Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:361bb6d872819e7017b2fd7ecbb09035179c8724c72771668004e375158d9f6c","observation_id":"1fbef94c-60e3-4134-88b6-02efbf67afb3","resolution":{"observed_at":"2026-08-06T10:12:44.605455Z","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":"2026-08-06T10:12:44.589095Z","title":"Bulacu, S","venue":null,"work_id":"0478152d-923e-40e3-922e-e9eb1ef52d1a","year":2003},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.037800Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:413e14f1bb90a343a2d31f951d4739d4d6fda47969bb03f34c53405cbb475ab3","observation_id":"dc709c8e-18ba-4cf5-b633-eb92e479be48","resolution":{"observed_at":"2026-08-06T10:12:44.592823Z","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":"2026-08-06T10:12:44.576448Z","title":"Bulacu, S","venue":null,"work_id":"bf6726d7-09ae-4bcc-a543-280ea8ae900c","year":null},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.042173Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:0374ee1a8cb1b09eb1b585da71a4719e798330c708638ccb7fb82fcad08ca27b","observation_id":"46c3c2b0-e678-4a6e-adf1-bb31b5fc254a","resolution":{"observed_at":"2026-08-06T10:12:44.580368Z","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":"2026-08-06T10:12:44.563791Z","title":"Bulacu, S","venue":null,"work_id":"2cdb84d0-afe2-464d-a1ce-70b022f1f899","year":2011},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.046012Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:2adb4dd0d10916b51f6b284a9d4cdad2a1f478b602b589a8f788510b2fbd8819","observation_id":"d6fb6ba0-9b86-4622-aa74-62fefc6981f8","resolution":{"observed_at":"2026-08-06T10:12:44.568011Z","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":"2026-08-06T10:12:44.551662Z","title":"Bulacu, M","venue":null,"work_id":"f738a1f7-bf68-4c17-b9ee-fcd8cb7197ac","year":2025},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.050170Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:cfc42577f7d3a484a158d57216e116160c04dc9d86bfea754feff9c503b7d180","observation_id":"3664f8b9-6a56-4fa4-830c-c28043b77b96","resolution":{"observed_at":"2026-08-06T10:12:44.555184Z","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":"2026-08-06T10:12:44.539505Z","title":"Bulacu, E","venue":null,"work_id":"b7e22dfc-6262-41c9-85a0-1c0820f09160","year":2002},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.054193Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:633a036272d2fd33b0900f33bea46618f6d1a66e1dbb6144bb1443ebb7ade3ac","observation_id":"f8870f63-9096-4f61-9ea2-4d84de7c03e3","resolution":{"observed_at":"2026-08-06T10:12:44.543093Z","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":"2026-08-06T10:12:44.527019Z","title":"Bulacu, E","venue":null,"work_id":"084218fe-2eae-46c0-9a37-b07ef0894309","year":2003},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.058339Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:371211e894edbb396f478451e628d2c8476b46db2f22a44b01e3e08f7ae9a585","observation_id":"29d3aaad-87ed-4d27-98f4-52b8420ee25c","resolution":{"observed_at":"2026-08-06T10:12:44.530942Z","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":"2026-08-06T10:12:44.514467Z","title":"Bulacu, F","venue":null,"work_id":"7f32c597-d553-46de-a6f6-3614f99a5f59","year":2000},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.062127Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:7f9cc43e38fce781af9d7be9c007a6c76079089ec6d88a6375dee735cf042493","observation_id":"49d7fd3b-9aa1-459a-9577-56e21954455d","resolution":{"observed_at":"2026-08-06T10:12:44.518239Z","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":"2026-08-06T10:12:44.501466Z","title":"Cohen, ”Number Theory Volume I: Tools and Diophantine Equations”, Graduate Texts in Mathematics239, New York: Springer-Verlag, 2007","venue":null,"work_id":"d092ca9c-a8c3-4658-8087-94881a254952","year":2007},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.065701Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:c7e981df29756782beadba9df30189ca5e0d69d6168470e632eb4d120290a4fd","observation_id":"4633ab2e-0690-4484-af71-787fc713fd7f","resolution":{"observed_at":"2026-08-06T10:12:44.505762Z","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":"2026-08-06T10:12:44.488618Z","title":"D˘ asc˘ alescu, C","venue":null,"work_id":"d4fa9de9-437f-4282-b654-ae97251c00bc","year":2000},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.069246Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:7f16695925488abdb189223f61f27a9c3e02c23a291f3ae994d4274ad956563c","observation_id":"a5337e2b-5f51-4ae8-abb8-bcd1dd31ac95","resolution":{"observed_at":"2026-08-06T10:12:44.492286Z","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":"2026-08-06T10:12:44.475255Z","title":"Drinfeld, Quantum groups","venue":null,"work_id":"204a2afe-c783-4390-a329-065c292c14b0","year":1986},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.073034Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:ca76d676f56ac89baeb2672a0c031bfc1439d8701eab4a18db081ba0e03109b6","observation_id":"69490488-7269-443e-a44a-8f4da25f426a","resolution":{"observed_at":"2026-08-06T10:12:44.479230Z","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":"2026-08-06T10:12:44.461975Z","title":null,"venue":null,"work_id":"bcaf4bb3-52a6-4295-a9b2-1420c6d74684","year":1990},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.077064Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:f107df522a1621fc3c19a87bdbc1158f2b74dc7c65f6f79cee51df4e5517a4d3","observation_id":"4c9c402b-6177-430d-9304-35a1ec663344","resolution":{"observed_at":"2026-08-06T10:12:44.465751Z","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":"2026-08-06T10:12:44.449145Z","title":"Etingof, S","venue":null,"work_id":"c6b3dac1-bb18-4063-8c31-c25e8b9e0e79","year":2004},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.080744Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:2e79aa29c54a91c6e95be55cb1833ff111550c86866073bcf7e11b234fc2c1e9","observation_id":"b2350cc2-93ae-45f6-8bc3-a29e01e74a5d","resolution":{"observed_at":"2026-08-06T10:12:44.453074Z","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":"2026-08-06T10:12:44.435892Z","title":"Etingof, S","venue":null,"work_id":"5b7b49f2-2e8e-428a-bc04-0734bac28913","year":2005},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.084312Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:fe4d7bf98c52f086bc1198fe37ed27f40751690b846afa4db7e2c0b1414e6c1f","observation_id":"172c40eb-6ba5-4212-9a58-f45866fb7219","resolution":{"observed_at":"2026-08-06T10:12:44.439902Z","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":"2026-08-06T10:12:44.423530Z","title":"Etingof, S","venue":null,"work_id":"6a48fb2b-f3e5-4cc1-9510-1f860262c885","year":2006},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.088417Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:0d6419abad41e8d88a18b4d616a5ac5dd8d648809bd97368f0a04482de84cbea","observation_id":"f3e73849-481a-4abb-90e7-45f7e1d58727","resolution":{"observed_at":"2026-08-06T10:12:44.427353Z","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":"2026-08-06T10:12:44.411721Z","title":"Etingof, S","venue":null,"work_id":"e5554f6f-150e-461d-b4ba-a03b23bc88ab","year":2016},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.092558Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:4df7bbc6fa02ff108972d1ad0427572ae928869e4be51557f8bce7b7124cacf0","observation_id":"fe78ecd2-569d-4c99-a920-5c814c16d6d1","resolution":{"observed_at":"2026-08-06T10:12:44.415355Z","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":"2026-08-06T10:12:44.399667Z","title":"Green, ∅","venue":null,"work_id":"e67bd9ac-f53c-45fb-83e4-86b1c3335596","year":1998},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.096297Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:79f3a3899c9c896fd7aaf25f7fa653d73da62d1bee59cc60737c8acd4d667bda","observation_id":"219e3ecc-70b0-4bbe-90cb-7b24710a0d1c","resolution":{"observed_at":"2026-08-06T10:12:44.403240Z","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":"2026-08-06T10:12:44.387358Z","title":"Hamada, On a free resolution of a dihedral group , Tohoku Mathematical Journal 15(3) (1963), 212–219","venue":null,"work_id":"152ea4fa-12f7-461d-b047-11a358f314e3","year":1963},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.099859Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:0bfaadc0becebc4b820386675161c7c5a3d9f63ea6ec40877cf8e184d3408f57","observation_id":"ec7c50fc-ccb7-41aa-bf44-6dc2f7f07e20","resolution":{"observed_at":"2026-08-06T10:12:44.391123Z","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":"2026-08-06T10:12:44.375340Z","title":"Handel, On products in the cohomology of the dihedral groups , Tohoku Mathematical Journal 45(1) (1993), 13–42","venue":null,"work_id":"5c118d19-ddf9-4355-9a14-ccbcf50df26a","year":1993},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.103611Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:9344b400d1d14968fa8de53bbeb3b35387403b4760bb4868fca5e823e8451857","observation_id":"c38d9172-d744-4989-9600-f494744f434c","resolution":{"observed_at":"2026-08-06T10:12:44.379226Z","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":"2026-08-06T10:12:44.363274Z","title":"Hausser and F","venue":null,"work_id":"c160b50e-ba11-40a6-9800-b4a74ae7eb79","year":1999},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.107501Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:012cf036ddf3a91b756d653f42fbcf45eff66a4fcae52c518cabf796a5e7a0d2","observation_id":"dd4b3094-02c3-448d-add5-f66b61344fcb","resolution":{"observed_at":"2026-08-06T10:12:44.366872Z","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":"2403.04455","last_updated":"2024-03-07T12:48:42Z","snapshot_observed_at":"2026-08-16T14:11:59.193731Z","submitted_at":"2024-03-07T12:48:42Z","title":"On the Classification of Finite Quasi-Quantum Groups over Abelian Groups","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.04455","snapshot_observed_at":"2026-08-06T10:12:44.111164Z","title":"Huang, G","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.111164Z"},"links":{"cited_paper":"/paper/2403.04455","citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:a7ca58bb5968c36936a05cfc4d072588e48ca0296014f683501fbb0db50dc854","observation_id":"6010efcb-c277-4aba-824f-85df5b9500ad","resolution":{"observed_at":"2026-08-06T10:12:44.111164Z","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":"2026-08-06T10:12:44.350783Z","title":"Huang, G","venue":null,"work_id":"44531d4a-2a47-4d5b-91f2-c4f57864179a","year":2020},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.115684Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:43a487ecec2d394819f2b1b86662bd27fbb7351268ce41913e18995552bebece","observation_id":"e94c94d4-2ce2-4b82-8756-953d3050612f","resolution":{"observed_at":"2026-08-06T10:12:44.354788Z","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":"2026-08-06T10:12:44.338331Z","title":"Majid, Quantum Double for quasi-Hopf algebras , Letters in Mathematical Physics 45(1) (1998), 1–9","venue":null,"work_id":"d5cd0dd2-216d-4efc-939f-fc62be58b920","year":1998},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.119592Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:f1434430a04c7bc8948cb48b80474a53f2935b95b85dac378a64607c2e09dbed","observation_id":"cf5c305f-e476-496c-b012-69095b11f3bb","resolution":{"observed_at":"2026-08-06T10:12:44.342309Z","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":"2026-08-06T10:12:44.325731Z","title":"Majid, ”Foundations of quantum group theory”, Cambridge University Press, 1995","venue":null,"work_id":"00c6e4c0-a4ef-4cb2-99de-6fbeb46f22a5","year":1995},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.123596Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:f93b4df5e50b238e4bc4a823925cd42e1145d7e80e82d585025a799bb01327b7","observation_id":"cbca4c5f-0431-43e7-9e06-37c7991d1863","resolution":{"observed_at":"2026-08-06T10:12:44.329902Z","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":"2026-08-06T10:12:44.312990Z","title":"Matthews, The Diophantine equation x2 − Dy2 = N , D >0, Expositiones Mathematicae 18 (2000), 323–331","venue":null,"work_id":"3a93e51a-b478-4321-93c0-d9358769aa05","year":2000},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.127360Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:655e1b652233f2e8e1155b47b3f5d16d3c93413fad462c803b8998a7434e16bd","observation_id":"26f0377a-69f2-4e0a-8086-00426ebee143","resolution":{"observed_at":"2026-08-06T10:12:44.316950Z","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":"2026-08-06T10:12:44.300476Z","title":null,"venue":null,"work_id":"48a5afe2-1da0-4bc2-b26b-7802f86e6b30","year":1985},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.130961Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:2302e47f4055cb7103ecae1f0248f8686f0ea5efe800e6cea09d8323bb303374","observation_id":"03c58686-634f-476b-8d92-f0eb44a21e64","resolution":{"observed_at":"2026-08-06T10:12:44.304522Z","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":"2026-08-06T10:12:44.286293Z","title":"Panaite, A Maschke-type theorem for quasi-Hopf Algebras , in ”Rings, Hopf Algebras and Brauer Groups”, S","venue":null,"work_id":"7423fe84-5e0a-405c-9e26-359bdbb67c6a","year":1998},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.134780Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:8566226755a94d78befa84cfd9712313a8cb0ec4c6df887496bbc28c8f979857","observation_id":"2652a96a-fa5c-4f3f-8ec1-7f72f0d03120","resolution":{"observed_at":"2026-08-06T10:12:44.290842Z","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":"2026-08-06T10:12:44.272583Z","title":"Panaite, F","venue":null,"work_id":"15e2c40e-fad2-4366-b52b-6b7825cd39fb","year":2007},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.138514Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:ec9044cefd9e85c70f2585b10b3a03d875a6dd73e64faa5739447afcb5a3440c","observation_id":"f5e9a384-d905-4d23-98b9-e6efb2ddc46a","resolution":{"observed_at":"2026-08-06T10:12:44.276416Z","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":"2026-08-06T10:12:44.258876Z","title":"Radford, The structure of Hopf algebras with a projection , J","venue":null,"work_id":"7723e67c-44e1-4b71-8e51-59e9d4310eb7","year":1985},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.142330Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:3361fc3f1b5be502a153d6a4fc0f935d70b9196a20335cc34b23489bbc91df23","observation_id":"9cd11b79-1143-4611-8110-8ec62ee9c533","resolution":{"observed_at":"2026-08-06T10:12:44.263283Z","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":"2026-08-06T10:12:44.245144Z","title":null,"venue":null,"work_id":"83529833-0093-4739-bf9a-ccf6a25b6eda","year":2015},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.146196Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:64669e1110051bf6c155009bfc330d941b6cf074565d29bf50111a21c381381c","observation_id":"10cee37b-7a02-4e1c-8104-ed26be8fbd30","resolution":{"observed_at":"2026-08-06T10:12:44.249292Z","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":"2026-08-06T10:12:44.231427Z","title":null,"venue":null,"work_id":"9c356702-49c3-46be-b692-6ea136ea3b5d","year":1993},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.149902Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:143983d19bc9b67de71fec896f147c487c9dde00c06fa6b965a2323fae790a36","observation_id":"a9d043e7-8d48-4fdf-be4c-66637f08e8c5","resolution":{"observed_at":"2026-08-06T10:12:44.235724Z","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":{"arxiv_id":"hep-th/9511195","last_updated":"1995-11-27T20:08:59Z","snapshot_observed_at":"2026-08-02T23:11:11.790468Z","submitted_at":"1995-11-27T20:08:59Z","title":"Topological interactions in broken gauge theories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9511195","snapshot_observed_at":"2026-08-06T10:12:44.153820Z","title":"Propitius, Topological Interactions in Broken Gauge Theories , PhD Thesis, University of Amsterdam; arXiv:hep-th/9511195v1 27 Nov 1995","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.153820Z"},"links":{"cited_paper":"/paper/hep-th/9511195","citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:55ea350003aaa90a8be217941e2c7bd2f36873925226b8a9d354dbab67a14b6b","observation_id":"7e10c714-2613-41d5-97c9-714b3b9de7fa","resolution":{"observed_at":"2026-08-06T10:12:44.153820Z","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":"2026-08-06T10:12:44.215765Z","title":null,"venue":null,"work_id":"9c14359f-39a1-4769-bbf0-0eebfd685bad","year":1990},"citing_paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T10:12:44.157896Z"},"links":{"citing_paper":"/paper/2508.00597"},"observation_digest":"sha256:9a5c8008abe3d47a5a894d1112c65c84f6e4048e715f4982decda3c28918c919","observation_id":"a89ba17d-4b43-4bd7-8bf5-dc01eb1b6980","resolution":{"observed_at":"2026-08-06T10:12:44.220836Z","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"}}],"paper":{"arxiv_id":"2508.00597","last_updated":"2025-08-01T12:52:10Z","latest_version":1,"primary_category":"math.QA","snapshot_observed_at":"2026-08-06T10:12:41.271628Z","submitted_at":"2025-08-01T12:52:10Z","title":"Biproduct Quasi-Hopf Algebras of Rank 2"},"reference_resolution":{"displayed":37,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":0,"verified_fuzzy":30},"total_outbound_references":37},"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 18 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2508.00597."}