{"as_of":"2026-08-21T10:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2ca27fcd4a12d5a13a65bd503e55454e8e86fa072a0c370e4bb09e3e768e991d","coverage":[{"denominator":33,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":33,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T11:34:15.047455Z","state":"measured"},{"denominator":33,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":33,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1908.08978/citation-record","integrity":"/paper/1908.08978/integrity","json":"/paper/1908.08978/citation-record.json","paper":"/paper/1908.08978"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"math.qa/0006143","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:34:15.886384Z","title":null,"venue":null,"work_id":"d7e74b5a-a664-456b-84e6-bcf3f255042b","year":2001},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:14.909550Z"},"links":{"citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:9c3bac75fa05f3344fed82aeca4da5473e2420ed508357f5ebe5944ed2b11658","observation_id":"e4b94877-79cb-4c93-96b3-b29adfe66447","resolution":{"observed_at":"2026-08-14T11:34:15.890743Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-14T11:34:16.010624Z","title":null,"venue":null,"work_id":"f89f520b-1d6a-4e12-8252-71f627a367bd","year":1983},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:14.914384Z"},"links":{"citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:ef8f1d83040b708d685e498b8b0c306c425025f8612a7e10301c8df76329f172","observation_id":"3f4c4d85-4f60-48ff-aeda-f45a6345cc7b","resolution":{"observed_at":"2026-08-14T11:34:16.013659Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-14T11:34:16.000596Z","title":null,"venue":null,"work_id":"e30ec12a-b50b-433c-a215-d53c8ddbb5dd","year":1989},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:14.919028Z"},"links":{"citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:df3a5b797dce065ce9df3c21e063b13b4c66d63873fa0c5d9cf6af0dd8aaccd8","observation_id":"65ac20aa-5fda-4d89-809b-23866cd2181e","resolution":{"observed_at":"2026-08-14T11:34:16.003840Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0911.0026","last_updated":"2011-03-08T23:17:27Z","snapshot_observed_at":"2026-08-17T02:02:18.718584Z","submitted_at":"2009-10-30T21:36:48Z","title":"Effect of Legendrian Surgery","version":4},"cited_work":{"arxiv_id":"0911.0026","doi":null,"metadata_source":"pith","pith_arxiv_id":"0911.0026","snapshot_observed_at":"2026-08-14T11:34:15.828119Z","title":"Effect of Legendrian Surgery","venue":"math.SG","work_id":"ae3c2c02-2297-42ae-8fe4-6a4ca029a14a","year":2009},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:14.923964Z"},"links":{"cited_paper":"/paper/0911.0026","citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:3586bd9aa1554495fa9cf03dcdf2298bc3375af4867e8c0198262f21ec7bfc35","observation_id":"d10009ab-6173-4bea-9c0c-63aae901e290","resolution":{"observed_at":"2026-08-14T11:34:15.832140Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-14T11:34:15.991099Z","title":"I, S´ emin","venue":null,"work_id":"e764206e-3ed2-4384-bc6c-ce49482d7f5a","year":2012},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:14.928611Z"},"links":{"citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:f71cb0566a6a500a19c41c4fa184f661af1c45b1438386646d721cc459d7e05c","observation_id":"93018d3b-df23-4ce5-8676-a298ce573a24","resolution":{"observed_at":"2026-08-14T11:34:15.994332Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"math.gt/9709233","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:34:15.810511Z","title":null,"venue":null,"work_id":"e02f536c-1b25-4231-818f-5f0f4264b2fd","year":2002},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:14.933300Z"},"links":{"citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:ee9f4b7e6de0ae94e27db97fb5056b36c1d1261480418f71397277a628216c6c","observation_id":"972235dd-34b3-4360-8cf4-3d95f2305bc3","resolution":{"observed_at":"2026-08-14T11:34:15.817241Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-14T11:34:15.982062Z","title":"Surveys 60 (2005), 95–149","venue":null,"work_id":"adaa8cc0-fd35-4292-a855-6a0a3c876233","year":2005},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:14.936701Z"},"links":{"citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:413584a8d4c5fde8fed200296f623d899ad4759c3b80cd0b2a1ac11bd2f9666b","observation_id":"afc431bd-9e95-4ab7-b696-3dd888afb002","resolution":{"observed_at":"2026-08-14T11:34:15.985129Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1109.0342","last_updated":"2012-07-18T13:07:25Z","snapshot_observed_at":"2026-08-19T22:18:01.645895Z","submitted_at":"2011-09-02T02:20:26Z","title":"Symmetrizers and antisymmetrizers for the BMW algebra","version":2},"cited_work":{"arxiv_id":"1109.0342","doi":null,"metadata_source":"pith","pith_arxiv_id":"1109.0342","snapshot_observed_at":"2026-08-14T11:34:15.744222Z","title":"Symmetrizers and antisymmetrizers for the BMW algebra","venue":"math.QA","work_id":"8c450139-e2fa-4bc6-9e9f-95ffa6459e0e","year":2011},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:14.940736Z"},"links":{"cited_paper":"/paper/1109.0342","citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:c21457f1d0574a906ee41e3f75c9693624f96a1a5966aea689ce41a04c98c953","observation_id":"6f8d847a-5f5c-47aa-9438-4c04880073a1","resolution":{"observed_at":"2026-08-14T11:34:15.747998Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1109.1542","last_updated":"2012-01-11T16:28:58Z","snapshot_observed_at":"2026-08-16T11:14:14.902459Z","submitted_at":"2011-09-07T19:37:08Z","title":"Knot contact homology","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1109.1542","snapshot_observed_at":"2026-08-14T11:34:14.944148Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:14.944148Z"},"links":{"cited_paper":"/paper/1109.1542","citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:8fd18126ca13ee12afc31ac51c8e8252af2dcd02f7c176bc0d73e06e2a88faa8","observation_id":"bb686fdd-f346-4b17-a253-39d2ae6fd94e","resolution":{"observed_at":"2026-08-14T11:34:14.944148Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1811.10966","last_updated":"2023-04-20T16:49:51Z","snapshot_observed_at":"2026-08-14T17:52:41.024748Z","submitted_at":"2018-11-27T13:26:39Z","title":"Legendrian contact homology in $\\mathbb{R}^3$","version":5},"cited_work":{"arxiv_id":"1811.10966","doi":null,"metadata_source":"pith","pith_arxiv_id":"1811.10966","snapshot_observed_at":"2026-08-14T11:34:15.715038Z","title":"Legendrian contact homology in $\\mathbb{R}^3$","venue":"math.SG","work_id":"ca79d619-7955-402d-9d9a-5a92ed67a226","year":2018},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:14.947355Z"},"links":{"cited_paper":"/paper/1811.10966","citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:e74b9d2c2ab71ee7efa0adb4bc976e87b372bb19fce86276cdf318530884d7a1","observation_id":"ef5e6832-bb11-4e54-9c55-ac6f43c1f71f","resolution":{"observed_at":"2026-08-14T11:34:15.719053Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"math.sg/0101145","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:34:15.698820Z","title":"Symplectic Geom","venue":null,"work_id":"5605bcd3-8d57-41b1-bb67-ddce0e016eea","year":2002},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:14.951540Z"},"links":{"citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:bf716ddfd169e61a4d5a2f9a424aaeb4c208fcd42c94dcf4f3fac8a5e802baae","observation_id":"a010c464-91f3-4046-b383-04bcb93044d1","resolution":{"observed_at":"2026-08-14T11:34:15.704400Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-14T11:34:15.972327Z","title":null,"venue":null,"work_id":"973e8408-c8f6-4188-baec-568974071b7d","year":1987},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:14.955304Z"},"links":{"citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:fc13ec9da33076c7ec01bbb4412f6c156c63c453e5d70f73e325b14b160d39d3","observation_id":"4e658583-317c-43bd-9a86-80afb63f1660","resolution":{"observed_at":"2026-08-14T11:34:15.975233Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-14T11:34:15.962721Z","title":null,"venue":null,"work_id":"636f7971-7df0-4e7a-a8f6-be22e1ddd8c2","year":2003},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:14.959455Z"},"links":{"citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:a99396e333d4f63d92e7fef3ef946394dd3ac0356493c79f7865579b7d327d06","observation_id":"78115694-1041-4190-a8b9-81157beb816c","resolution":{"observed_at":"2026-08-14T11:34:15.966302Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-14T11:34:15.952151Z","title":null,"venue":null,"work_id":"7e8ac478-41e9-4540-b445-c2bec20b91cf","year":2004},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:14.964090Z"},"links":{"citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:58b20647f1269c7cf3bc376b02936d1314782114116dfcc961b32a6a308a247a","observation_id":"69ea8112-4f9a-4296-9d6d-b75e0a17aaee","resolution":{"observed_at":"2026-08-14T11:34:15.955699Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-14T11:34:15.941724Z","title":null,"venue":null,"work_id":"c0865130-2782-46a9-9751-3485cdbfb85c","year":1997},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:14.967662Z"},"links":{"citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:a79a65ed55178d82957a453a1fc204df870cecb1ce0a25643d31aec5f4298f6b","observation_id":"9c1f2af6-e7aa-4582-9deb-dbfebc528689","resolution":{"observed_at":"2026-08-14T11:34:15.945131Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-14T11:34:15.930911Z","title":"109, Cambridge University Press, Cambridge, 2008","venue":null,"work_id":"88e5e5d2-fc5f-45ba-a380-6df4a92c6d8a","year":2008},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:14.970971Z"},"links":{"citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:4b5a91ce76ebd1785e00d5bacf846184fcb56d149aa00fad0442d077623b3768","observation_id":"3e8bd2de-517a-4271-9d10-05357677639d","resolution":{"observed_at":"2026-08-14T11:34:15.935153Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"math.qa/0002170","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:34:15.637537Z","title":null,"venue":null,"work_id":"f7c71f26-1cfb-47a5-8817-ced696cfc854","year":1999},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:14.974941Z"},"links":{"citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:c627593110f4909a659bd0513e300423baf178bda1f0a7998b6a3e5ccec38696","observation_id":"aeaa1fb7-4416-432e-9a64-6f94d2202b08","resolution":{"observed_at":"2026-08-14T11:34:15.643318Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0911.1735","last_updated":"2010-09-15T14:38:27Z","snapshot_observed_at":"2026-08-16T22:07:28.009473Z","submitted_at":"2009-11-09T19:25:27Z","title":"Connections between Floer-type invariants and Morse-type invariants of Legendrian knots","version":3},"cited_work":{"arxiv_id":"0911.1735","doi":null,"metadata_source":"pith","pith_arxiv_id":"0911.1735","snapshot_observed_at":"2026-08-14T11:34:15.577717Z","title":"Connections between Floer-type invariants and Morse-type invariants of Legendrian knots","venue":"math.GT","work_id":"2bf6b17a-9be8-4cbf-8f13-ae1575c45952","year":2009},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:14.983645Z"},"links":{"cited_paper":"/paper/0911.1735","citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:ce3ec1c8017e5d39d2e643959f5e032b79eea537c4d016773928a1708e6cbb15","observation_id":"23d7f912-951f-4e75-8c7e-5c54d3bf0315","resolution":{"observed_at":"2026-08-14T11:34:15.581325Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1308.4662","last_updated":"2014-06-23T17:19:48Z","snapshot_observed_at":"2026-08-17T06:00:39.572416Z","submitted_at":"2013-08-21T19:08:17Z","title":"Ruling polynomials and augmentations over finite fields","version":2},"cited_work":{"arxiv_id":"1308.4662","doi":null,"metadata_source":"pith","pith_arxiv_id":"1308.4662","snapshot_observed_at":"2026-08-14T11:34:15.564223Z","title":"Ruling polynomials and augmentations over finite fields","venue":"math.SG","work_id":"3520690e-f470-46f0-b514-7073b2068c10","year":2013},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:14.988187Z"},"links":{"cited_paper":"/paper/1308.4662","citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:6dbde6fd565ab00baa2f412223282e7ad2c0ab36f9606a4d508751ca916b9053","observation_id":"f20aa105-14a3-4ba1-91e9-d16e09c4d3b1","resolution":{"observed_at":"2026-08-14T11:34:15.568144Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1802.10531","last_updated":"2019-10-08T20:53:33Z","snapshot_observed_at":"2026-08-18T05:17:01.699407Z","submitted_at":"2018-02-28T16:50:43Z","title":"Satellite ruling polynomials, DGA representations, and the colored HOMFLY-PT polynomial","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1802.10531","snapshot_observed_at":"2026-08-14T11:34:14.993608Z","title":"11 (2020), 55–118, arXiv:1802.10531","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:14.993608Z"},"links":{"cited_paper":"/paper/1802.10531","citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:974822c276806e42afa09dfea8872724cfbbe369089ffac466d8e1ce611bf179","observation_id":"75978eac-0dc3-4ac7-b951-047dfd3e19cb","resolution":{"observed_at":"2026-08-14T11:34:14.993608Z","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":"2026-08-14T11:34:15.920287Z","title":null,"venue":null,"work_id":"23b15e4e-965f-4c94-8978-fe486f6ea1ab","year":1990},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:14.998914Z"},"links":{"citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:98598fac5425d287a3fa9f4473bcbb38abe8623a400029b87c8b182b54010ed2","observation_id":"323c4129-42d9-46e1-aef8-7e877f18c042","resolution":{"observed_at":"2026-08-14T11:34:15.924097Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"math.gt/0011265","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:34:15.540959Z","title":null,"venue":null,"work_id":"f5f2cdb4-2af1-455e-b975-51075eeb070a","year":2003},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:15.003860Z"},"links":{"citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:48a83b40154ff70a5d102820efbec3b2f6ac70a7b3d4995e7e91f8987fbab0e6","observation_id":"c389c181-a228-4ead-b066-b187f8af6089","resolution":{"observed_at":"2026-08-14T11:34:15.545414Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0709.2141","last_updated":"2007-09-13T18:23:39Z","snapshot_observed_at":"2026-08-16T09:44:31.658778Z","submitted_at":"2007-09-13T18:23:39Z","title":"A skein approach to Bennequin type inequalities","version":1},"cited_work":{"arxiv_id":"0709.2141","doi":null,"metadata_source":"pith","pith_arxiv_id":"0709.2141","snapshot_observed_at":"2026-08-14T11:34:15.471411Z","title":"A skein approach to Bennequin type inequalities","venue":"math.GT","work_id":"ba6c2a79-4669-49da-bc06-8fac39a7cd11","year":2007},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:15.008153Z"},"links":{"cited_paper":"/paper/0709.2141","citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:862f720dc458dbabbb32d7d772de09a5c3b67e5d893de4891a7edac4760ba5ba","observation_id":"22a575f6-13f8-490e-9341-444a7478f44e","resolution":{"observed_at":"2026-08-14T11:34:15.475159Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1206.2259","last_updated":"2012-06-11T15:39:00Z","snapshot_observed_at":"2026-08-15T00:57:16.323401Z","submitted_at":"2012-06-11T15:39:00Z","title":"Satellites of Legendrian knots and representations of the Chekanov-Eliashberg algebra","version":1},"cited_work":{"arxiv_id":"1206.2259","doi":null,"metadata_source":"pith","pith_arxiv_id":"1206.2259","snapshot_observed_at":"2026-08-14T11:34:15.456509Z","title":"Satellites of Legendrian knots and representations of the Chekanov-Eliashberg algebra","venue":"math.SG","work_id":"73582b13-0286-4354-9790-b99ad5b06064","year":2012},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:15.013234Z"},"links":{"cited_paper":"/paper/1206.2259","citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:21823dd675be03f4466a8a912112f728d2ccc60db580a24eedd1783ff1750d51","observation_id":"54955509-9b6e-45fb-9f3d-5593f887db2d","resolution":{"observed_at":"2026-08-14T11:34:15.460516Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1502.04939","last_updated":"2019-12-08T14:33:28Z","snapshot_observed_at":"2026-08-14T22:59:41.843491Z","submitted_at":"2015-02-17T16:00:26Z","title":"Augmentations are Sheaves","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1502.04939","snapshot_observed_at":"2026-08-14T11:34:15.017667Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:15.017667Z"},"links":{"cited_paper":"/paper/1502.04939","citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:e5feebeaa639f9e86f375d7b7f0e9abfbafbecdec8758e6ffd81307f9e992a76","observation_id":"34d7981b-a138-4aef-9977-9823a4b49b20","resolution":{"observed_at":"2026-08-14T11:34:15.017667Z","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":"math.sg/0503168","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:34:15.427299Z","title":null,"venue":null,"work_id":"23f4baf4-ec9e-4e19-a846-a24591376314","year":2006},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:15.022109Z"},"links":{"citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:5f8baac5cb311e6b61ba93200890b406ce2a6478820ece7f997dc092e98be5eb","observation_id":"6003d4b3-42c4-44ca-b686-65b416ee42dc","resolution":{"observed_at":"2026-08-14T11:34:15.433114Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"math.sg/0407068","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:34:15.366529Z","title":"Symplectic Geom","venue":null,"work_id":"d0181643-a369-4d7c-a11e-7540ad048d2a","year":2004},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:15.026179Z"},"links":{"citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:10a9a9e233f9eea169447501a77b323ec02d2ceae9a988316bc1ac6c9fd9c566","observation_id":"6ff42e16-e4a2-4562-a037-4b248f601aec","resolution":{"observed_at":"2026-08-14T11:34:15.372229Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-14T11:34:15.909954Z","title":null,"venue":null,"work_id":"4a9cf665-3aed-4298-97db-6df5f88a60ea","year":1990},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:15.030394Z"},"links":{"citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:25fc8ae2d8f677039f30dd807569d9311147b972bbe3dabc8d48e06d08da85af","observation_id":"6a3b3d0f-79e8-4e0a-913d-855d0cd91777","resolution":{"observed_at":"2026-08-14T11:34:15.913633Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"math.gt/0511097","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:34:15.303427Z","title":null,"venue":null,"work_id":"b445e24a-62aa-4497-8081-6a79120b2b6e","year":2006},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:15.033942Z"},"links":{"citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:7f8b1174f7e3977bb5164244ab00a0eff79d16fef2796769b9decf2369c4328f","observation_id":"49543c95-8705-4769-9f2e-34248a9469ef","resolution":{"observed_at":"2026-08-14T11:34:15.308362Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1006.3285","last_updated":"2010-06-16T18:13:47Z","snapshot_observed_at":"2026-08-19T05:38:08.410390Z","submitted_at":"2010-06-16T18:13:47Z","title":"HOMFLY-PT polynomial and normal rulings of Legendrian solid torus links","version":1},"cited_work":{"arxiv_id":"1006.3285","doi":null,"metadata_source":"pith","pith_arxiv_id":"1006.3285","snapshot_observed_at":"2026-08-14T11:34:15.225471Z","title":"HOMFLY-PT polynomial and normal rulings of Legendrian solid torus links","venue":"math.GT","work_id":"c510b913-6377-4a09-bba0-6e99c8ed6fb9","year":2010},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:15.037036Z"},"links":{"cited_paper":"/paper/1006.3285","citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:555db83d26ef5407072d4dad975a7735abdba3306e1c37080274b06c5b414be8","observation_id":"d0a7bf3b-3737-489c-b032-5c910ac632ee","resolution":{"observed_at":"2026-08-14T11:34:15.230134Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"math.sg/0409032","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:34:15.209696Z","title":null,"venue":null,"work_id":"c9feeb1f-72cd-439f-a23d-880fbb02abb4","year":2005},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:15.040608Z"},"links":{"citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:760fe7081ac6643aa28f674c6c95cdd3b1fda43b60481187b6ec00550254dfb9","observation_id":"680afa9f-75a3-495a-a67d-aa95c8059b6a","resolution":{"observed_at":"2026-08-14T11:34:15.214274Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-14T11:34:15.899864Z","title":null,"venue":null,"work_id":"79adbc70-589b-4f74-860a-0ff5f6b8744e","year":1997},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:15.044367Z"},"links":{"citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:53ea6e88b5eae267bb06c6f0e95d4113382b1a437b222528fef37b78c37c1e45","observation_id":"60e4ad73-4995-447a-8fe1-a660984bc865","resolution":{"observed_at":"2026-08-14T11:34:15.903104Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"math.gt/0110229","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:34:15.139630Z","title":null,"venue":null,"work_id":"c38e7b81-dc35-46f4-8c7c-0f9cdc2aaba2","year":2001},"citing_paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T11:34:15.047455Z"},"links":{"citing_paper":"/paper/1908.08978"},"observation_digest":"sha256:c3beeaadb3b272c39a45b83ae399a8864fa8f545cd44202de5a1bf23ebeed148","observation_id":"d477f6ca-085d-4483-b623-c9ea3cb1f018","resolution":{"observed_at":"2026-08-14T11:34:15.146514Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.08978","last_updated":"2020-03-22T07:04:30Z","latest_version":2,"primary_category":"math.SG","snapshot_observed_at":"2026-08-18T22:09:17.682664Z","submitted_at":"2019-08-23T18:59:54Z","title":"Legendrian DGA Representations and the Colored Kauffman Polynomial"},"reference_resolution":{"displayed":33,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":12,"verified_exact":17,"verified_fuzzy":3},"total_outbound_references":33},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:1908.08978."}