{"as_of":"2026-08-10T20:31:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:873226c1e196bd92b785b6af11c281b8c62f1b8f3cc8c6acb24954ccf488c021","coverage":[{"denominator":46,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":46,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T04:33:58.552310Z","state":"measured"},{"denominator":46,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":46,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+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/2608.06079/citation-record","integrity":"/paper/2608.06079/integrity","json":"/paper/2608.06079/citation-record.json","paper":"/paper/2608.06079"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1112/jlms.12951","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"and Sivek, Steven , TITLE =","venue":"Journal of the London Mathematical Society","work_id":"9fa27879-a906-446b-b19f-f5413c20eb1d","year":2024},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.422448Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:565f08a1fa5a605473eeeaf0a5a6939fe708e2c4a0dee3039ea5b874ee423357","observation_id":"dc8cbb75-9f27-415c-8317-f765d790f976","resolution":{"observed_at":"2026-08-10T04:33:58.782660Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:33:59.036572Z","title":null,"venue":null,"work_id":"24617c55-0151-40bc-a097-8982433ea144","year":2024},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.425910Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:2d3556db68c70a534afe0d2cbf0216cb8dcdc5b20683028af37cf07905820807","observation_id":"e795ded7-567f-466e-ab0c-2ec4c9d11a4f","resolution":{"observed_at":"2026-08-10T04:33:59.039036Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.topol.2019.05.003","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Topology Appl","venue":"Topology and its Applications","work_id":"338796f0-7708-45f4-a8c3-ed7263407a52","year":2019},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.430126Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:9b20bf6e05a905852997d90a82a36f81c72518957bef30941014f8766d9a2f0c","observation_id":"f4d3a366-7b39-4556-99ca-8a18a137e3ab","resolution":{"observed_at":"2026-08-10T04:33:58.773354Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2140/agt.2001.1.153","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Algebraic & Geometric Topology","work_id":"6752a3d8-bf92-412f-a618-b380a4cc2460","year":2001},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.433056Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:a29ed0ecb4496684779de34b52a83fcb428fa5dadc1ae23897bcb77e87c69584","observation_id":"186f8fc6-5d0d-4ca6-b16c-38c2b92392ee","resolution":{"observed_at":"2026-08-10T04:33:58.766095Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1090/crmp/015/02","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Geometry, topology, and dynamics (","venue":"CRM proceedings & lecture notes","work_id":"a47d98d2-7a57-40af-b68c-dc046f288508","year":1998},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.435882Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:7cb21da2204372cb5534a728bfc53f7ca2f88296338cddfad90a04111af34ecf","observation_id":"666c2ddd-b7ef-4361-97a1-f94f38707a04","resolution":{"observed_at":"2026-08-10T04:33:58.758409Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4310/jsg.2001.v1.n1.a3","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"and Honda, Ko , TITLE =","venue":"Journal of Symplectic Geometry","work_id":"ab73dc84-6a92-42dc-b005-c97c37bf9d90","year":2001},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.441645Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:b6ac3545feb7c8437642083860a515fb48aef6dfef01fe40732a774c6f9c4866","observation_id":"ddc067fc-f13b-4290-be22-cb74460b9eec","resolution":{"observed_at":"2026-08-10T04:33:58.751569Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4171/jems/383","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"and Ng, Lenhard L","venue":"Journal of the European Mathematical Society","work_id":"6cd83197-f6a0-4b58-9e26-1054061f705b","year":2013},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.444040Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:941771dc2cab2e8b867b9aa1676f558682e487e34d3d48ce6e443e118fdc21bd","observation_id":"cc989435-5a39-482f-bf7c-c986176e8d44","resolution":{"observed_at":"2026-08-10T04:33:58.743959Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T04:33:58.447862Z","title":"2008 , PAGES =","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.447862Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:9e29eec9052d43d914074d8eae64653dab66523733e902bbb3f1d8f5da5686e8","observation_id":"a6c005c3-4a18-434f-bbaf-1eb419bb8f95","resolution":{"observed_at":"2026-08-10T04:33:58.447862Z","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":"10.4310/jsg.2015.v13.n1.a2","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Journal of Symplectic Geometry","work_id":"cfa1845e-95be-4545-9b9a-2acb20250cc9","year":2015},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.450338Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:4361980766987093d168aca2dfa196e396139cd8955da3c1b13c78b5496d6701","observation_id":"3cd2e629-445b-4707-b6c4-31d58c3db8c6","resolution":{"observed_at":"2026-08-10T04:33:58.732199Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T04:33:58.452981Z","title":null,"venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.452981Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:d8768b0a0032016dc5666f26836616928093077e13bf491542ad29e397decd6a","observation_id":"1a242ce3-ccbb-4582-859d-87c692736d35","resolution":{"observed_at":"2026-08-10T04:33:58.452981Z","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":"2026-08-10T04:33:59.030172Z","title":null,"venue":null,"work_id":"b7cd4ac0-01c5-459f-86bf-419612ba3ab8","year":2008},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.455444Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:560fe9789451b0596eadff539774326647f3f4a1a6647b9564c24cb805c77ae7","observation_id":"0644f11f-a08a-46b8-a0a2-36fb45721dd2","resolution":{"observed_at":"2026-08-10T04:33:59.032653Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10474-016-0660-8","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"and Kegel, M","venue":"Acta Mathematica Academiae Scientiarum Hungaricae","work_id":"f0f1c11c-44e5-4bde-81a1-f33f064df567","year":2016},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.458227Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:994efc74808dd92e1404392c0adac9bde18be3effad07873330829d0c538812d","observation_id":"ee4c6038-7410-413d-b445-2ddf191600f5","resolution":{"observed_at":"2026-08-10T04:33:58.720128Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[{"edge_observation":{"observed_at":"2026-08-10T06:18:05.69971+00:00","source":"paper_reference_links","state":"open"},"event_date":"2017-10-09","event_type":"correction","notice_doi":"10.1007/s10474-017-0759-6","provenance":{"observed_at":"2026-07-11T03:02:51.984734+00:00","source":"crossref","source_record_id":"10.1007/s10474-017-0759-6->10.1007/s10474-016-0660-8:correction"}}],"reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T04:33:58.461167Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.461167Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:247cb300ce018dfc6fc32daa85810845da004cc6c6e8c20125a028208ac45c29","observation_id":"4b9c5c23-546e-451f-b18c-fe95dfeee536","resolution":{"observed_at":"2026-08-10T04:33:58.461167Z","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":"2026-08-10T04:33:59.023274Z","title":"2003 , PAGES =","venue":null,"work_id":"541a19eb-de92-4123-8fa1-b808df3cc8b3","year":2003},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.464347Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:eae039a387bd16e188fc753d426028e610389537da3a84d871c5047bc8e1f51a","observation_id":"3f190e29-35c6-4070-9799-3b9cb31ad5c9","resolution":{"observed_at":"2026-08-10T04:33:59.025953Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T04:33:58.467295Z","title":"2004 , PAGES =","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.467295Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:4eeb13335ecba87ca9b56b208788d1859f36508ddd3e5ebd844105b0443f37ad","observation_id":"4fc9be9f-2de5-4477-a732-f99c298e687c","resolution":{"observed_at":"2026-08-10T04:33:58.467295Z","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":"2026-08-10T04:33:59.016045Z","title":null,"venue":null,"work_id":"98ece140-039c-4250-a878-11426150525a","year":2004},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.470723Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:0f09f181108086fd40303dd2346178d027a7105b7f12e68f49b02e28d8a4b69c","observation_id":"e0be8c52-0efd-4a02-bba5-88cb65788925","resolution":{"observed_at":"2026-08-10T04:33:59.018592Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2140/pjm.2006.228.277","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":", TITLE =","venue":"Pacific Journal of Mathematics","work_id":"16c1f2a6-0fac-419c-ad39-14501c4c2568","year":2006},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.474141Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:32d029847ae68c93ad12618a656d0ce0d8c9cfc636aa9ea6e0471a7c604bf42d","observation_id":"e23568d5-b618-418b-99a8-a2027510ade5","resolution":{"observed_at":"2026-08-10T04:33:58.702663Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T04:33:58.476264Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.476264Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:d5d2d534c400bc31f098362f9fe1e35826e480d7f59350ae0397a17cf15a41ec","observation_id":"6cede11f-e77d-4ab8-80a5-fe5b73779856","resolution":{"observed_at":"2026-08-10T04:33:58.476264Z","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":"2026-08-10T04:33:59.008515Z","title":"and Mrowka, T","venue":null,"work_id":"cd64ca04-7450-47c2-bf45-bd41f7256f4c","year":2007},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.478200Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:f2eb504d2bd3d4918ab890a2e52e50760e4326c6fb6c3fb85e07b5e98b63f2e3","observation_id":"77fa446e-a725-439e-bc94-1aa3a1e0fab2","resolution":{"observed_at":"2026-08-10T04:33:59.011417Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:33:59.002046Z","title":null,"venue":null,"work_id":"a2204e97-0ddd-491f-923d-06768c686e42","year":2019},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.480366Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:8bf2827709c5538fb1052294f1f139aaa6ee29cee58efd43a71b1f9943e17821","observation_id":"d2fd48c7-f654-400f-83d3-4636daa501a1","resolution":{"observed_at":"2026-08-10T04:33:59.004419Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:33:58.994400Z","title":"Proceedings of the","venue":null,"work_id":"8667903b-1898-402a-b2e4-04d01908b945","year":1995},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.482580Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:39d01d2dca31b665f482b5f92f4624ede3b6a09ec39452c3856ceea2209ac2f6","observation_id":"9724bc61-57da-448f-9be8-ebfaca34ca41","resolution":{"observed_at":"2026-08-10T04:33:58.997360Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:33:58.987134Z","title":"1990 , type =","venue":null,"work_id":"eee1412a-0d9d-42f1-8562-15a82a7bd6b8","year":1990},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.484446Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:c020bfe1dc144ef6ca750ce97c58345421527d5c2a0070143da882cd4e9e07ab","observation_id":"b88b1b3b-d1cb-4de2-a25a-a3c27067faa9","resolution":{"observed_at":"2026-08-10T04:33:58.989882Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:33:58.980516Z","title":", TITLE =","venue":null,"work_id":"7e0cf36e-f8bf-4185-8ca4-57268c0735e0","year":1963},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.486936Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:978b55b11e9e02ab19e3bafeb78141af3d3705568b58c2da96d49bb08ee280d9","observation_id":"dd61e824-801f-44ad-9d8f-ab4dc1b9d412","resolution":{"observed_at":"2026-08-10T04:33:58.983127Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:33:58.972897Z","title":null,"venue":null,"work_id":"4a04e78b-593f-4b4c-ba1d-33ea0f240c3d","year":1962},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.490127Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:07a2cfbd6703b1ef45a454964d46629b5128c70bd3c12c69ed8229ee542a2c2a","observation_id":"b586d9a6-f5c6-4eac-a41a-1aaf03bc25f4","resolution":{"observed_at":"2026-08-10T04:33:58.975910Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:33:58.967191Z","title":"Contact and symplectic topology , SERIES =","venue":null,"work_id":"0b75f8ec-97f9-40f0-b871-0b2baa5c5be6","year":2014},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.492910Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:c421f9632b8292ae4dff1452a1d79b2adb105d95bfe33d695dc31892bbdea9ea","observation_id":"3f87d52c-f301-4268-ba4d-f501210254cc","resolution":{"observed_at":"2026-08-10T04:33:58.969157Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2140/agt.2014.14.1249","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Algebraic & Geometric Topology","work_id":"82ccba30-9eaa-466d-bba9-3b7968892909","year":2014},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.495475Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:377c7ce96f2c1a0202225705165f166e8a02c0d130f2bbd69a330375d80fc89d","observation_id":"6501ad43-b7cc-4ae6-b24b-caa0acbfdd69","resolution":{"observed_at":"2026-08-10T04:33:58.692803Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1142/s0218216523500232","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Journal of Knot Theory and Its Ramifications","work_id":"351c8b81-5649-4b42-9178-e57c3ac48b1f","year":2023},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.498664Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:241eb2480b97feb2786f4d2bdfd5c24885eb3762dcdbdf894445740b827df852","observation_id":"a70b5d22-bb0f-4b96-b857-ae97e93233cd","resolution":{"observed_at":"2026-08-10T04:33:58.683884Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:33:58.961796Z","title":"1983 , PAGES =","venue":null,"work_id":"112dfb80-bf63-4ffc-81f2-adb92155f28e","year":1983},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.501977Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:cb77b6b10f2abd53b853a6a9c58de05143f7c4b051b8cd7ea9f376e35f1b0b86","observation_id":"de4f07f0-24a5-4a87-af94-0bdf5f96b458","resolution":{"observed_at":"2026-08-10T04:33:58.963786Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:33:58.955985Z","title":", TITLE =","venue":null,"work_id":"753f3951-2250-4a81-bb5c-447a76ff6a3f","year":1989},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.504584Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:a7e142624b8d67a6972c676e925e7b899d1eccd82174840c65c5792be19e514b","observation_id":"6bf23678-a01a-41ec-8b4c-9e6441570d56","resolution":{"observed_at":"2026-08-10T04:33:58.958269Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:33:58.950826Z","title":", TITLE =","venue":null,"work_id":"a91e30f9-5335-4c68-9ad9-89a55ebc36b4","year":2004},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.506881Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:6570bca5733fb7c7d348a047ddb8303ddfaac48d5016415e27430232b15fb5cb","observation_id":"7dd46bb8-9705-4bb3-b9bc-c9ae507c7d1b","resolution":{"observed_at":"2026-08-10T04:33:58.952683Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:33:58.943733Z","title":"and Kegel, M","venue":null,"work_id":"ee352a73-39b2-4d25-8422-361a379daf3d","year":2016},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.509201Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:5e0dac6ded6489eac5f57b59a2a03211bc69eb5ff63cd5534b2f5ca97cf4b8f5","observation_id":"0afaafa7-f287-4088-9a5d-556766d30ca4","resolution":{"observed_at":"2026-08-10T04:33:58.946279Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:33:58.935342Z","title":", TITLE =","venue":null,"work_id":"a8670672-110d-4bf8-a8ed-e511ff77526c","year":1998},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.511498Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:c2b118ae0521f8334b6b8debd6ed8c9f07277fa0ef1557932d4a95e75569a444","observation_id":"831dbb3c-8cc6-4246-8447-d1cc2cc1570d","resolution":{"observed_at":"2026-08-10T04:33:58.938497Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:33:58.928414Z","title":null,"venue":null,"work_id":"c13ee24d-6052-48cb-b543-cf94ed92214d","year":1987},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.513887Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:a244f8f5703cadbcae710a1cab11b905f100ec7430745b0bf1a0939b5e037a4c","observation_id":"93d77a98-efb2-4b7c-8967-7cfe6864a690","resolution":{"observed_at":"2026-08-10T04:33:58.930934Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:33:58.919650Z","title":null,"venue":null,"work_id":"49d1cd98-7963-4045-ae7e-ae7a1f55d485","year":1989},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.516722Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:15b21ab22867f2f72faf2d5e12469e39ebd29fcc110ec242c51ecd99eec9f22f","observation_id":"b293f5d4-02c8-4220-a397-1b55bbb8df65","resolution":{"observed_at":"2026-08-10T04:33:58.922883Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:33:58.911881Z","title":null,"venue":null,"work_id":"e00a22b9-3bf7-44a3-b315-69ac9b0f178d","year":2023},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.519977Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:b30b1d30b6679ff1231701f5cbcfd075e336796ebe5b5faad43bf8d738ab4711","observation_id":"96785f4d-c9a8-4aa6-ae62-3c8742ebbd2a","resolution":{"observed_at":"2026-08-10T04:33:58.914478Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:33:58.903638Z","title":"Algebraic & Geometric Topology , volume=","venue":null,"work_id":"37d65f8d-526f-4d3c-bf2e-dcf4772a799d","year":null},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.523020Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:927d0f5387ec64740e75180ac25fe620492d6a4f8d206bd31172f8ec0fabe7f9","observation_id":"9a5a3c36-6141-4fb2-bf1f-bd4c058c7728","resolution":{"observed_at":"2026-08-10T04:33:58.907087Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:33:58.894593Z","title":null,"venue":null,"work_id":"cb1e2396-0ce7-41c9-8941-cdc11934e91a","year":2000},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.525790Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:aabb8dd6a04299732ac9ab96022568330f71900e61411b7fbd35401b02581414","observation_id":"2ba9e4da-dde3-4df2-8495-28cb42a51cd4","resolution":{"observed_at":"2026-08-10T04:33:58.898019Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf02940717","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","work_id":"8fcab304-196d-4af2-ad72-95027cd728b9","year":1935},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.529644Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:6d79de62b55cbf545166ecbe7d8a4fe88947dca41ee0f4782b901ede0934f618","observation_id":"a6a19a53-aa9f-48cc-81e3-b3a38959c997","resolution":{"observed_at":"2026-08-10T04:33:58.675086Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:33:58.886905Z","title":null,"venue":null,"work_id":"3ba39ee4-2047-4e37-acf4-f42fc24aec78","year":2000},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.532219Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:d15a971be689cee75922d24951888ebdcff00f39eb353d7fc908a2b804de4371","observation_id":"338af18a-6bd5-47a3-bef5-07c47b50b791","resolution":{"observed_at":"2026-08-10T04:33:58.889754Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:33:58.878574Z","title":null,"venue":null,"work_id":"d6075bf6-68ff-48d4-b5b8-2b1828c247c2","year":2009},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.534487Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:6b0a1340e885ace808df77558a26d951e9c0fdbc2a831b715131b868dd824e3d","observation_id":"d4cc0d68-020f-4dc5-9fb9-46ab25a23902","resolution":{"observed_at":"2026-08-10T04:33:58.881842Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:33:58.870444Z","title":null,"venue":null,"work_id":"3a002d86-23c4-47e1-af68-9d61a7d367d1","year":1978},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.537679Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:2a86133e293405aac67e1afe494aa2d57c4620902c4ce7fb88de1f9fafa400d0","observation_id":"e61fbd42-ea21-4ba4-a47e-beebddc99f87","resolution":{"observed_at":"2026-08-10T04:33:58.873262Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T04:33:58.541687Z","title":"Pacific J","venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.541687Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:7d5d33b07e2ad0b65f676c9664bd0a4f6358c69b1a4c43f3224e9bdb3bd6bb03","observation_id":"870a4112-ba6f-4647-90a5-1874f447b256","resolution":{"observed_at":"2026-08-10T04:33:58.541687Z","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":"2026-08-10T04:33:58.858347Z","title":null,"venue":null,"work_id":"ac32a9cc-8b35-452a-b4ca-6e086738016b","year":2003},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.544249Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:ae7708c681ef0a6376f59181a1e8bb8e670db82402599f27008340264ea81ea8","observation_id":"f1224bc1-37b8-43df-a399-f29f82f7ae8b","resolution":{"observed_at":"2026-08-10T04:33:58.861424Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4310/jsg.2019.v17.n1.a6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Journal of Symplectic Geometry","work_id":"cf8360f0-c419-4ef5-9368-29412dbc59e0","year":2019},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.546586Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:5199d6f15427f2d57a6e25773e521b35cc70bf3b7aa62d75f6ef0e54a4a75725","observation_id":"4f694000-82f6-4096-bf78-de4cc054884a","resolution":{"observed_at":"2026-08-10T04:33:58.668812Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:33:58.851194Z","title":"2024 , journal =","venue":null,"work_id":"43731d37-4f84-4193-a597-8f6fa95a273d","year":2024},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.549251Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:b216f6bbce5a0b98f0598e0a70bff6dc26db109e8be1ef4c6434e53a48cbe913","observation_id":"833b39f1-fd80-4f34-bde1-aaa6113e71c7","resolution":{"observed_at":"2026-08-10T04:33:58.853330Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2140/gt.2012.16.301","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Geometry & Topology","work_id":"7b86e4ee-d7a5-4cec-b0cb-7d8c2f3b766e","year":2012},"citing_paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots","version":2},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-10T04:33:58.552310Z"},"links":{"citing_paper":"/paper/2608.06079"},"observation_digest":"sha256:84793cabdd0d4ced582b3dcfe3e937784575cf18aeaa0642aaef173b567947e4","observation_id":"ff1ef04a-29e1-4a1b-a69d-d42a6958d602","resolution":{"observed_at":"2026-08-10T04:33:58.658795Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2608.06079","last_updated":"2026-08-07T05:57:27Z","latest_version":2,"primary_category":"math.GT","snapshot_observed_at":"2026-08-10T20:09:51.327822Z","submitted_at":"2026-08-06T14:22:26Z","title":"Characterizing slopes for Legendrian knots"},"reference_resolution":{"displayed":46,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":19,"verified_exact":14,"verified_fuzzy":13},"total_outbound_references":46},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2608.06079."}