{"as_of":"2026-08-05T08:09:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:98fc1c1e16cdc694f8c8636309f8fcad0cd92ac7a2adc8994ff652024bfec57d","coverage":[{"denominator":21,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":21,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-24T11:47:00.951337Z","state":"measured"},{"denominator":23,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":23,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-05T06:32:48.257954+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-13T20:58:51.972587Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-05-13T21:03:20.355949Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2207.13885","last_updated":"2026-04-09T11:56:46Z","snapshot_observed_at":"2026-08-02T07:59:41.962141Z","submitted_at":"2022-07-28T05:27:21Z","title":"On virtual singular braid groups","version":2},"cited_work":{"arxiv_id":"2207.13885","doi":null,"metadata_source":"pith","pith_arxiv_id":"2207.13885","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"On virtual singular braid groups","venue":"math.GR","work_id":"4a39f7d0-5455-4b86-a5e9-d0acd10c315b","year":2022},"citing_paper":{"arxiv_id":"2604.01633","last_updated":"2026-04-09T11:38:43Z","snapshot_observed_at":"2026-07-06T22:51:35.522923Z","submitted_at":"2026-04-02T05:23:00Z","title":"Universal virtual braid groups","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-13T20:58:51.972587Z"},"links":{"cited_paper":"/paper/2207.13885","citing_paper":"/paper/2604.01633"},"observation_digest":"sha256:54da652c29db76da88981659da8e31d3cd0bdcc1c2e2e05a208096986f0fb9d1","observation_id":"4619d7d2-c943-4e44-bbcd-40981a55494f","resolution":{"observed_at":"2026-05-13T21:03:20.357837Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2207.13885","last_updated":"2026-04-09T11:56:46Z","snapshot_observed_at":"2026-08-02T07:59:41.962141Z","submitted_at":"2022-07-28T05:27:21Z","title":"On virtual singular braid groups","version":2},"cited_work":{"arxiv_id":"2207.13885","doi":null,"metadata_source":"pith","pith_arxiv_id":"2207.13885","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"On virtual singular braid groups","venue":"math.GR","work_id":"4a39f7d0-5455-4b86-a5e9-d0acd10c315b","year":2022},"citing_paper":{"arxiv_id":"2604.19307","last_updated":"2026-04-21T10:13:44Z","snapshot_observed_at":"2026-07-06T23:05:58.167533Z","submitted_at":"2026-04-21T10:13:44Z","title":"On Universal Virtual and Welded Braid Groups and Their Linear Representations","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-10T01:43:41.931372Z"},"links":{"cited_paper":"/paper/2207.13885","citing_paper":"/paper/2604.19307"},"observation_digest":"sha256:83093eb14860d7e39c3620de43a3e9b5add9479f8c747d3cf07c95647ef6c4c3","observation_id":"067ce568-b91d-4329-8c4f-f95dfd5ba652","resolution":{"observed_at":"2026-05-11T13:26:05.387589Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2207.13885/citation-record","integrity":"/paper/2207.13885/integrity","json":"/paper/2207.13885/citation-record.json","paper":"/paper/2207.13885"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Artin, Theory of braids, Ann","venue":null,"work_id":"8415cc98-699b-4c35-865c-3981e835446e","year":1947},"citing_paper":{"arxiv_id":"2207.13885","last_updated":"2026-04-09T11:56:46Z","snapshot_observed_at":"2026-08-02T07:59:41.962141Z","submitted_at":"2022-07-28T05:27:21Z","title":"On virtual singular braid groups","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-24T11:47:00.951337Z"},"links":{"citing_paper":"/paper/2207.13885"},"observation_digest":"sha256:8cd740afe348c9dc72b44023fe9a2936f56892c0449e2fbf1abeae9a8ad27750","observation_id":"f99da55e-fc4c-41fe-aa99-58e4c24c05c0","resolution":{"observed_at":"2026-05-24T11:49:25.774031Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Baez, Link invariants of finite type and perturbation th eory, Lett","venue":null,"work_id":"e64bc613-cf72-4be2-b0b9-dd5c09057e69","year":1992},"citing_paper":{"arxiv_id":"2207.13885","last_updated":"2026-04-09T11:56:46Z","snapshot_observed_at":"2026-08-02T07:59:41.962141Z","submitted_at":"2022-07-28T05:27:21Z","title":"On virtual singular braid groups","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-24T11:47:00.951337Z"},"links":{"citing_paper":"/paper/2207.13885"},"observation_digest":"sha256:299eec3083f27af0a2fc5ef7886233ea2e991cdff2e4856ca9f43906d03f1657","observation_id":"81fdb3e5-a249-4e08-8a3a-a43596f1835b","resolution":{"observed_at":"2026-05-24T11:49:25.770703Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Bar-Natan, Vassiliev homotopy string link invariants , J","venue":null,"work_id":"9c9db5a0-acc6-4de4-816a-7591dadd5ed7","year":1995},"citing_paper":{"arxiv_id":"2207.13885","last_updated":"2026-04-09T11:56:46Z","snapshot_observed_at":"2026-08-02T07:59:41.962141Z","submitted_at":"2022-07-28T05:27:21Z","title":"On virtual singular braid groups","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-24T11:47:00.951337Z"},"links":{"citing_paper":"/paper/2207.13885"},"observation_digest":"sha256:cffb8882e620bf325c3b39e1f52c294579c545d565e996f58a910522afb608e0","observation_id":"828fff68-d890-4f78-89de-7adcf50e542c","resolution":{"observed_at":"2026-05-24T11:49:25.767373Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"e3695227-d5dc-43d2-bc79-9edcc405e545","year":2004},"citing_paper":{"arxiv_id":"2207.13885","last_updated":"2026-04-09T11:56:46Z","snapshot_observed_at":"2026-08-02T07:59:41.962141Z","submitted_at":"2022-07-28T05:27:21Z","title":"On virtual singular braid groups","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-24T11:47:00.951337Z"},"links":{"citing_paper":"/paper/2207.13885"},"observation_digest":"sha256:f51acd63f03f21ea160009ebd9f248428cb9d74dfe1219d0e7fa75f6a43d938a","observation_id":"2aa98274-9270-43f6-88fd-884918ac8089","resolution":{"observed_at":"2026-05-24T11:49:25.760573Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"7d0291e5-9265-4e03-b748-5c2a2aa28ea9","year":2009},"citing_paper":{"arxiv_id":"2207.13885","last_updated":"2026-04-09T11:56:46Z","snapshot_observed_at":"2026-08-02T07:59:41.962141Z","submitted_at":"2022-07-28T05:27:21Z","title":"On virtual singular braid groups","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-24T11:47:00.951337Z"},"links":{"citing_paper":"/paper/2207.13885"},"observation_digest":"sha256:801ca7cb74e22e94b2ed01fd6bf343126aeff1eaa755bb7dcabcdf5e2dc5d960","observation_id":"8b7a4f14-7e02-4afa-847b-8b8b7b463890","resolution":{"observed_at":"2026-05-24T11:49:25.757273Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"167ef946-2921-4457-9fad-d2341eae08f8","year":2015},"citing_paper":{"arxiv_id":"2207.13885","last_updated":"2026-04-09T11:56:46Z","snapshot_observed_at":"2026-08-02T07:59:41.962141Z","submitted_at":"2022-07-28T05:27:21Z","title":"On virtual singular braid groups","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-24T11:47:00.951337Z"},"links":{"citing_paper":"/paper/2207.13885"},"observation_digest":"sha256:ae1158140236685a70adf0a45331c623797118a0a06badef53c9f93ebe42db41","observation_id":"23234c1d-01e6-41ca-957b-e811fb9a2ea4","resolution":{"observed_at":"2026-05-24T11:49:25.753902Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Bellingeri and L","venue":null,"work_id":"73eb3dab-f6c3-419a-acd1-f23fa2f7b35e","year":2020},"citing_paper":{"arxiv_id":"2207.13885","last_updated":"2026-04-09T11:56:46Z","snapshot_observed_at":"2026-08-02T07:59:41.962141Z","submitted_at":"2022-07-28T05:27:21Z","title":"On virtual singular braid groups","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-24T11:47:00.951337Z"},"links":{"citing_paper":"/paper/2207.13885"},"observation_digest":"sha256:618be2a3f855ef046a02f5f29314928f9e5fe079f65cc2eadfa601f7f4bbce7b","observation_id":"117ebb88-9257-48d6-adf0-b3040bae470c","resolution":{"observed_at":"2026-05-24T11:49:25.750598Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Birman, New points of view in knot theory, Bull","venue":null,"work_id":"006b4448-b9b4-4f72-8f62-790e2fb92848","year":1993},"citing_paper":{"arxiv_id":"2207.13885","last_updated":"2026-04-09T11:56:46Z","snapshot_observed_at":"2026-08-02T07:59:41.962141Z","submitted_at":"2022-07-28T05:27:21Z","title":"On virtual singular braid groups","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-24T11:47:00.951337Z"},"links":{"citing_paper":"/paper/2207.13885"},"observation_digest":"sha256:0076e723de8a4ca8c9c434815ae3cb67f8151d5ab3209e699cc557c7480aac50","observation_id":"0619debb-7da4-46ec-a62e-24b236451126","resolution":{"observed_at":"2026-05-24T11:49:25.747407Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Caprau, A","venue":null,"work_id":"59bca569-1118-4799-93e9-99fe10b827e7","year":2016},"citing_paper":{"arxiv_id":"2207.13885","last_updated":"2026-04-09T11:56:46Z","snapshot_observed_at":"2026-08-02T07:59:41.962141Z","submitted_at":"2022-07-28T05:27:21Z","title":"On virtual singular braid groups","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-24T11:47:00.951337Z"},"links":{"citing_paper":"/paper/2207.13885"},"observation_digest":"sha256:8a87e2e103ce5148b25c26c517651fda4a5710af6425053518fa9099a02112b5","observation_id":"aa5ae456-77ff-4554-9979-3f50fdcd1b55","resolution":{"observed_at":"2026-05-24T11:49:25.744471Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2201.09187","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Caprau and A","venue":null,"work_id":"7c8f54be-25a5-421e-a1ac-bf5144dfe669","year":2022},"citing_paper":{"arxiv_id":"2207.13885","last_updated":"2026-04-09T11:56:46Z","snapshot_observed_at":"2026-08-02T07:59:41.962141Z","submitted_at":"2022-07-28T05:27:21Z","title":"On virtual singular braid groups","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-24T11:47:00.951337Z"},"links":{"citing_paper":"/paper/2207.13885"},"observation_digest":"sha256:150d042297d1e737676eb26c9a523ba0db279500789d7dfaea22be0a8cbe997a","observation_id":"80c30f65-3b8c-4b9f-b345-ae288c86f0e5","resolution":{"observed_at":"2026-05-24T11:49:25.377665Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Caprau and S","venue":null,"work_id":"0447a0e8-957f-4589-a86d-4c320faea5e0","year":2021},"citing_paper":{"arxiv_id":"2207.13885","last_updated":"2026-04-09T11:56:46Z","snapshot_observed_at":"2026-08-02T07:59:41.962141Z","submitted_at":"2022-07-28T05:27:21Z","title":"On virtual singular braid groups","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-24T11:47:00.951337Z"},"links":{"citing_paper":"/paper/2207.13885"},"observation_digest":"sha256:f9b44bcf8f59ba5f04e2cc244ab9c199fb2eb6342ecfb282ac4dc8fb0097c4e6","observation_id":"d263a174-781b-45fe-a500-7187791494de","resolution":{"observed_at":"2026-05-24T11:49:25.741286Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"74350fcf-9703-42a7-8061-ef75f8e1ebeb","year":2019},"citing_paper":{"arxiv_id":"2207.13885","last_updated":"2026-04-09T11:56:46Z","snapshot_observed_at":"2026-08-02T07:59:41.962141Z","submitted_at":"2022-07-28T05:27:21Z","title":"On virtual singular braid groups","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-24T11:47:00.951337Z"},"links":{"citing_paper":"/paper/2207.13885"},"observation_digest":"sha256:4cc6bc1181d2be2033e98f74c822c47c3c2fe34211d3ed5b901254529ba53eed","observation_id":"ae9a822f-0ab8-4f66-9e4f-0aeead5e6448","resolution":{"observed_at":"2026-05-24T11:49:25.730926Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Damiani, A journey through loop braid groups, Expositiones Mathematicae 35, 3 (2017), 252–285","venue":null,"work_id":"790f354c-03aa-49e9-b5cf-b3b49cce087e","year":2017},"citing_paper":{"arxiv_id":"2207.13885","last_updated":"2026-04-09T11:56:46Z","snapshot_observed_at":"2026-08-02T07:59:41.962141Z","submitted_at":"2022-07-28T05:27:21Z","title":"On virtual singular braid groups","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-24T11:47:00.951337Z"},"links":{"citing_paper":"/paper/2207.13885"},"observation_digest":"sha256:0ea03b368c7a14599bb78534427026012f05e21653c9bd54fc10db0468049ab5","observation_id":"97aa1b75-646f-4f1e-bd6b-2f44282b7401","resolution":{"observed_at":"2026-05-24T11:49:25.727568Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Dey and K","venue":null,"work_id":"6c84ece0-68d1-4fb1-a1ea-5eb41f8ee7a4","year":2022},"citing_paper":{"arxiv_id":"2207.13885","last_updated":"2026-04-09T11:56:46Z","snapshot_observed_at":"2026-08-02T07:59:41.962141Z","submitted_at":"2022-07-28T05:27:21Z","title":"On virtual singular braid groups","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-24T11:47:00.951337Z"},"links":{"citing_paper":"/paper/2207.13885"},"observation_digest":"sha256:756ccbf409bbce9a744105c6f28932b802cb3574eb5cb8eeb4563d81bae68890","observation_id":"11232f2b-40ec-476d-aac4-b9afeb4886af","resolution":{"observed_at":"2026-05-24T11:49:25.724251Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"3b18f959-8b80-4664-bab2-84f8a9b76401","year":1998},"citing_paper":{"arxiv_id":"2207.13885","last_updated":"2026-04-09T11:56:46Z","snapshot_observed_at":"2026-08-02T07:59:41.962141Z","submitted_at":"2022-07-28T05:27:21Z","title":"On virtual singular braid groups","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-24T11:47:00.951337Z"},"links":{"citing_paper":"/paper/2207.13885"},"observation_digest":"sha256:0de79f13e63f820ccd93c09cbcef53353c21212fbeb9dfe1459c8592df8fd89e","observation_id":"6b6dd917-6933-44a8-9bed-cf60bfdff0ee","resolution":{"observed_at":"2026-05-24T11:49:25.721211Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Kamada, Braid presentation of virtual knots and welde d knots, Osaka J","venue":null,"work_id":"44f4e5a6-3f3d-42d4-a72c-0f4c745b4a81","year":2007},"citing_paper":{"arxiv_id":"2207.13885","last_updated":"2026-04-09T11:56:46Z","snapshot_observed_at":"2026-08-02T07:59:41.962141Z","submitted_at":"2022-07-28T05:27:21Z","title":"On virtual singular braid groups","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-24T11:47:00.951337Z"},"links":{"citing_paper":"/paper/2207.13885"},"observation_digest":"sha256:49520f407f5f53b73e1ec2884f6c2e3d75fda8a93302555fcadfa02a18e1d51a","observation_id":"02467ffd-7329-44a1-a1b6-b6dec8aba603","resolution":{"observed_at":"2026-05-24T11:49:25.734469Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"47211750-ee78-4290-a056-bd1b039b71b6","year":1999},"citing_paper":{"arxiv_id":"2207.13885","last_updated":"2026-04-09T11:56:46Z","snapshot_observed_at":"2026-08-02T07:59:41.962141Z","submitted_at":"2022-07-28T05:27:21Z","title":"On virtual singular braid groups","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-24T11:47:00.951337Z"},"links":{"citing_paper":"/paper/2207.13885"},"observation_digest":"sha256:f575d1e6d5800550156571976aba630fb06fa4878dbd00328579ac1e966d29a7","observation_id":"8a91806c-9b58-4a4e-8e67-7fb5eed8b4eb","resolution":{"observed_at":"2026-05-24T11:49:25.718300Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"941e7442-3cd7-4a28-bb05-007847f92e1e","year":2004},"citing_paper":{"arxiv_id":"2207.13885","last_updated":"2026-04-09T11:56:46Z","snapshot_observed_at":"2026-08-02T07:59:41.962141Z","submitted_at":"2022-07-28T05:27:21Z","title":"On virtual singular braid groups","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-24T11:47:00.951337Z"},"links":{"citing_paper":"/paper/2207.13885"},"observation_digest":"sha256:7a681495b6d6fc5ec9cd2b8528a5cae233798bdb452b9209ababdbda18742a4d","observation_id":"3257d4ec-63e1-43ae-a0e5-b90024ee55dd","resolution":{"observed_at":"2026-05-24T11:49:25.715581Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Magnus, A","venue":null,"work_id":"19135995-40fd-4386-bf55-340ecfe43201","year":1976},"citing_paper":{"arxiv_id":"2207.13885","last_updated":"2026-04-09T11:56:46Z","snapshot_observed_at":"2026-08-02T07:59:41.962141Z","submitted_at":"2022-07-28T05:27:21Z","title":"On virtual singular braid groups","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-24T11:47:00.951337Z"},"links":{"citing_paper":"/paper/2207.13885"},"observation_digest":"sha256:5b414a622397eabd5eea0ec4fdec6a9006fdb66183b64b358c052d5a343f2cb7","observation_id":"43035df7-21b7-47c3-adf5-85ca6a355720","resolution":{"observed_at":"2026-05-24T11:49:25.737730Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"636bd74f-2729-4f31-863a-83661abed710","year":2001},"citing_paper":{"arxiv_id":"2207.13885","last_updated":"2026-04-09T11:56:46Z","snapshot_observed_at":"2026-08-02T07:59:41.962141Z","submitted_at":"2022-07-28T05:27:21Z","title":"On virtual singular braid groups","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-24T11:47:00.951337Z"},"links":{"citing_paper":"/paper/2207.13885"},"observation_digest":"sha256:3c26dc20c818cdc8e0eb6fec9addc787bdcde0294d607e45bd9abe8de73fe7a2","observation_id":"20a98955-f8df-4ba5-996f-8917796f1910","resolution":{"observed_at":"2026-05-24T11:49:25.763955Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-06-05T21:23:00.469572Z","title":"Zhu, On singular braids, J","venue":null,"work_id":"607b0cf6-ccb8-4bd1-b695-1d0785732f99","year":1997},"citing_paper":{"arxiv_id":"2207.13885","last_updated":"2026-04-09T11:56:46Z","snapshot_observed_at":"2026-08-02T07:59:41.962141Z","submitted_at":"2022-07-28T05:27:21Z","title":"On virtual singular braid groups","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-24T11:47:00.951337Z"},"links":{"citing_paper":"/paper/2207.13885"},"observation_digest":"sha256:d31415099f18b0b78c6c7d45cf6d1f6304c01df22bb1f4de6e4f32fc7a09cceb","observation_id":"d9281108-e04f-4ebd-9144-50873baf55bb","resolution":{"observed_at":"2026-05-24T11:49:25.712878Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2207.13885","last_updated":"2026-04-09T11:56:46Z","latest_version":2,"primary_category":"math.GR","snapshot_observed_at":"2026-08-02T07:59:41.962141Z","submitted_at":"2022-07-28T05:27:21Z","title":"On virtual singular braid groups"},"reference_resolution":{"displayed":21,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":1,"verified_fuzzy":12},"total_outbound_references":21},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"thesis":"As of 5 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 2 inbound Pith citation observations for arXiv:2207.13885."}