{"as_of":"2026-08-08T23:29:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a8f73c46d9dee8028bb2d910ed95ad001a18a0cdd6ade017a84e231c69480956","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":8,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":8,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":8,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":8,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T21:40:49.468606Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-25T03:05:16.828868Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1804.09566","last_updated":"2023-10-23T22:52:57Z","snapshot_observed_at":"2026-07-06T06:35:23.915784Z","submitted_at":"2018-04-25T13:46:22Z","title":"The Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem in higher genera","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1804.09566","snapshot_observed_at":"2026-08-08T21:40:49.468606Z","title":"1, 2.7 [ANPˇS24] Anton Alekseev, Florian Naef, J´ an Pulmann, and Pavol ˇSevera","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.04806","last_updated":"2025-02-19T09:46:14Z","snapshot_observed_at":"2026-08-08T21:20:59.294095Z","submitted_at":"2025-02-07T10:19:38Z","title":"A family of algebraic operations extending the Turaev cobracket","version":2},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-08T21:40:49.468606Z"},"links":{"cited_paper":"/paper/1804.09566","citing_paper":"/paper/2502.04806"},"observation_digest":"sha256:da89711bea7b8e59f9645c62bc3408e1255bdbb3268ce6fd83e9f3c6119789d1","observation_id":"005d7e88-e9d5-46e3-bda0-b7d757c6044b","resolution":{"observed_at":"2026-08-08T21:40:49.468606Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1804.09566","last_updated":"2023-10-23T22:52:57Z","snapshot_observed_at":"2026-07-06T06:35:23.915784Z","submitted_at":"2018-04-25T13:46:22Z","title":"The Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem in higher genera","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1804.09566","snapshot_observed_at":"2026-08-08T16:47:18.054760Z","title":"1, 2, 2.4, 2, 3, 3.1, 3, 3.3, 4.2, 4.2, 4.3, 6, 6, 6, 6, 6 [AM06] Anton Alekseev and Eckhard Meinrenken","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.06154","last_updated":"2025-03-21T09:43:33Z","snapshot_observed_at":"2026-08-08T16:30:48.913483Z","submitted_at":"2025-02-10T04:59:03Z","title":"The formality of the Goldman-Turaev Lie bialgebra on a closed surface","version":2},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-08T16:47:18.054760Z"},"links":{"cited_paper":"/paper/1804.09566","citing_paper":"/paper/2502.06154"},"observation_digest":"sha256:666fb32e4e467e38b259fc1a47b00ec3d73a2772e10288b61e87d906fcdad7a2","observation_id":"88613f2d-25c6-46be-8ae0-a2c474c15c3c","resolution":{"observed_at":"2026-08-08T16:47:18.054760Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1804.09566","last_updated":"2023-10-23T22:52:57Z","snapshot_observed_at":"2026-07-06T06:35:23.915784Z","submitted_at":"2018-04-25T13:46:22Z","title":"The Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem in higher genera","version":3},"cited_work":{"arxiv_id":"1804.09566","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1804.09566","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Preprint","venue":null,"work_id":"fe2354e2-73bd-4bc8-ac19-7956ec865cd6","year":2018},"citing_paper":{"arxiv_id":"2507.16243","last_updated":"2026-04-06T00:23:50Z","snapshot_observed_at":"2026-08-08T01:53:29.811180Z","submitted_at":"2025-07-22T05:34:03Z","title":"Genus Zero Kashiwara-Vergne Solutions from Braids","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-05-19T04:12:56.424496Z"},"links":{"cited_paper":"/paper/1804.09566","citing_paper":"/paper/2507.16243"},"observation_digest":"sha256:878107623492ec3600f7afa3a578b90e5e6b2e0379eb31b752fb2503eb1ed7fb","observation_id":"4afba5ea-3a77-4a11-a23e-2fc6efb87f35","resolution":{"observed_at":"2026-05-19T04:12:58.353324Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1804.09566","last_updated":"2023-10-23T22:52:57Z","snapshot_observed_at":"2026-07-06T06:35:23.915784Z","submitted_at":"2018-04-25T13:46:22Z","title":"The Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem in higher genera","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1804.09566","snapshot_observed_at":"2026-08-04T21:30:29.991814Z","title":"The Goldman - Turaev Lie bialgebra and the Kashiwara - Vergne problem in higher genera","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.07975","last_updated":"2025-09-09T17:57:30Z","snapshot_observed_at":"2026-08-07T23:11:54.280061Z","submitted_at":"2025-09-09T17:57:30Z","title":"Quartic BV structures in supercategories and modified necklace Lie bialgebras","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-04T21:30:29.991814Z"},"links":{"cited_paper":"/paper/1804.09566","citing_paper":"/paper/2509.07975"},"observation_digest":"sha256:df2548e7ac5eb080cb8a86ce49ad6d934345181af44c030d6d9837441597945d","observation_id":"8c0ad1bc-3102-45c7-b786-4289476a1023","resolution":{"observed_at":"2026-08-04T21:30:29.991814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1804.09566","last_updated":"2023-10-23T22:52:57Z","snapshot_observed_at":"2026-07-06T06:35:23.915784Z","submitted_at":"2018-04-25T13:46:22Z","title":"The Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem in higher genera","version":3},"cited_work":{"arxiv_id":"1804.09566","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1804.09566","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Preprint","venue":null,"work_id":"fe2354e2-73bd-4bc8-ac19-7956ec865cd6","year":2018},"citing_paper":{"arxiv_id":"2511.00473","last_updated":"2026-04-15T15:33:47Z","snapshot_observed_at":"2026-07-06T22:34:38.619949Z","submitted_at":"2025-11-01T09:53:47Z","title":"Drinfeld associators and Kashiwara-Vergne associators in higher genera","version":3},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-05-18T02:14:35.593223Z"},"links":{"cited_paper":"/paper/1804.09566","citing_paper":"/paper/2511.00473"},"observation_digest":"sha256:d770c4f3086ab76c4860a17c3eef2094cd43e0c70a5dbda1958041f97e3606dc","observation_id":"25c1256a-0fb3-480f-b6b3-aa9d50030716","resolution":{"observed_at":"2026-05-18T02:15:38.657485Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1804.09566","last_updated":"2023-10-23T22:52:57Z","snapshot_observed_at":"2026-07-06T06:35:23.915784Z","submitted_at":"2018-04-25T13:46:22Z","title":"The Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem in higher genera","version":3},"cited_work":{"arxiv_id":"1804.09566","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1804.09566","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Preprint","venue":null,"work_id":"fe2354e2-73bd-4bc8-ac19-7956ec865cd6","year":2018},"citing_paper":{"arxiv_id":"2604.27531","last_updated":"2026-05-29T09:34:40Z","snapshot_observed_at":"2026-08-04T08:53:30.671933Z","submitted_at":"2026-04-30T07:34:00Z","title":"$\\mathbb{K}$-framings and $\\mathbb{K}$-quadratic forms on surfaces","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-07T07:54:23.214341Z"},"links":{"cited_paper":"/paper/1804.09566","citing_paper":"/paper/2604.27531"},"observation_digest":"sha256:b194e6bed9a4200045a965170eee5bf659a1f5d95f976ce5fbac482f7f94df67","observation_id":"3d711b98-3766-4b06-a0f9-d4faca88dcbe","resolution":{"observed_at":"2026-05-12T10:06:28.767371Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1804.09566","last_updated":"2023-10-23T22:52:57Z","snapshot_observed_at":"2026-07-06T06:35:23.915784Z","submitted_at":"2018-04-25T13:46:22Z","title":"The Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem in higher genera","version":3},"cited_work":{"arxiv_id":"1804.09566","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1804.09566","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Preprint","venue":null,"work_id":"fe2354e2-73bd-4bc8-ac19-7956ec865cd6","year":2018},"citing_paper":{"arxiv_id":"2605.23369","last_updated":"2026-05-22T08:33:54Z","snapshot_observed_at":"2026-08-02T02:54:51.302366Z","submitted_at":"2026-05-22T08:33:54Z","title":"Quasi-Poisson varieties from double quasi-Poisson algebras in types $B,C,D$","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-25T03:02:59.743084Z"},"links":{"cited_paper":"/paper/1804.09566","citing_paper":"/paper/2605.23369"},"observation_digest":"sha256:a72b692a319ba4e4e06cfcdce3e35a4e1f5a0cf061a74cf30260513b28155dba","observation_id":"eb32b1c6-af92-4b7e-ab51-2ee0baa7a9cc","resolution":{"observed_at":"2026-05-25T03:05:16.831934Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1804.09566","last_updated":"2023-10-23T22:52:57Z","snapshot_observed_at":"2026-07-06T06:35:23.915784Z","submitted_at":"2018-04-25T13:46:22Z","title":"The Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem in higher genera","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1804.09566","snapshot_observed_at":"2026-07-11T19:56:44.272813Z","title":"2023 , bdsk-url-1 =","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.04342","last_updated":"2026-07-05T14:52:19Z","snapshot_observed_at":"2026-08-06T22:57:38.862003Z","submitted_at":"2026-07-05T14:52:19Z","title":"The framed version of the universal KZB connection in higher genera","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-07-11T19:56:44.272813Z"},"links":{"cited_paper":"/paper/1804.09566","citing_paper":"/paper/2607.04342"},"observation_digest":"sha256:013d1bcb4b5d2931f8e88899d46fbcf1432b79eb70019b1a5c8aca054e314532","observation_id":"fe202425-9f28-4365-92c8-7d3e4ae26c4f","resolution":{"observed_at":"2026-07-11T19:56:44.272813Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1804.09566/citation-record","integrity":"/paper/1804.09566/integrity","json":"/paper/1804.09566/citation-record.json","paper":"/paper/1804.09566"},"outbound":[],"paper":{"arxiv_id":"1804.09566","last_updated":"2023-10-23T22:52:57Z","latest_version":3,"primary_category":"math.GT","snapshot_observed_at":"2026-07-06T06:35:23.915784Z","submitted_at":"2018-04-25T13:46:22Z","title":"The Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem in higher genera"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:1804.09566."}