Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-24T11:47:00.951337Z
Paper Citation Record · LEDGER
On virtual singular braid groups
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.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-13T20:58:51.972587Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-05-13T21:03:20.355949Z
Reference resolution
21 of 21 outbound references displayed
- verified exact1
- verified fuzzy12
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation f99da55e-fc4c-41fe-aa99-58e4c24c05c0 · outbound
This paper cites Artin, Theory of braids, Ann.
On virtual singular braid groups Artin, Theory of braids, Ann
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T11:49:25.774031Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 81fdb3e5-a249-4e08-8a3a-a43596f1835b · outbound
This paper cites Baez, Link invariants of finite type and perturbation th eory, Lett.
On virtual singular braid groups Baez, Link invariants of finite type and perturbation th eory, Lett
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T11:49:25.770703Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 828fff68-d890-4f78-89de-7adcf50e542c · outbound
This paper cites Bar-Natan, Vassiliev homotopy string link invariants , J.
On virtual singular braid groups Bar-Natan, Vassiliev homotopy string link invariants , J
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T11:49:25.767373Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 2aa98274-9270-43f6-88fd-884918ac8089 · outbound
This paper cites an unresolved cited work.
On virtual singular braid groups Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-05-24T11:49:25.760573Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 8b7a4f14-7e02-4afa-847b-8b8b7b463890 · outbound
This paper cites an unresolved cited work.
On virtual singular braid groups Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-05-24T11:49:25.757273Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 23234c1d-01e6-41ca-957b-e811fb9a2ea4 · outbound
This paper cites an unresolved cited work.
On virtual singular braid groups Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-05-24T11:49:25.753902Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 117ebb88-9257-48d6-adf0-b3040bae470c · outbound
This paper cites Bellingeri and L.
On virtual singular braid groups Bellingeri and L
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T11:49:25.750598Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 0619debb-7da4-46ec-a62e-24b236451126 · outbound
This paper cites Birman, New points of view in knot theory, Bull.
On virtual singular braid groups Birman, New points of view in knot theory, Bull
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T11:49:25.747407Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation aa5ae456-77ff-4554-9979-3f50fdcd1b55 · outbound
This paper cites Caprau, A.
On virtual singular braid groups Caprau, A
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T11:49:25.744471Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 80c30f65-3b8c-4b9f-b345-ae288c86f0e5 · outbound
This paper cites Caprau and A.
On virtual singular braid groups Caprau and A
Reference 10
- Resolution
- verified exact
- arxiv_id, observed 2026-05-24T11:49:25.377665Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation d263a174-781b-45fe-a500-7187791494de · outbound
This paper cites Caprau and S.
On virtual singular braid groups Caprau and S
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T11:49:25.741286Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ae9a822f-0ab8-4f66-9e4f-0aeead5e6448 · outbound
This paper cites an unresolved cited work.
On virtual singular braid groups Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-05-24T11:49:25.730926Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 97aa1b75-646f-4f1e-bd6b-2f44282b7401 · outbound
This paper cites Damiani, A journey through loop braid groups, Expositiones Mathematicae 35, 3 (2017), 252–285.
On virtual singular braid groups Damiani, A journey through loop braid groups, Expositiones Mathematicae 35, 3 (2017), 252–285
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T11:49:25.727568Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 11232f2b-40ec-476d-aac4-b9afeb4886af · outbound
This paper cites Dey and K.
On virtual singular braid groups Dey and K
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T11:49:25.724251Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 6b6dd917-6933-44a8-9bed-cf60bfdff0ee · outbound
This paper cites an unresolved cited work.
On virtual singular braid groups Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-05-24T11:49:25.721211Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 02467ffd-7329-44a1-a1b6-b6dec8aba603 · outbound
This paper cites Kamada, Braid presentation of virtual knots and welde d knots, Osaka J.
On virtual singular braid groups Kamada, Braid presentation of virtual knots and welde d knots, Osaka J
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T11:49:25.734469Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 8a91806c-9b58-4a4e-8e67-7fb5eed8b4eb · outbound
This paper cites an unresolved cited work.
On virtual singular braid groups Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-05-24T11:49:25.718300Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 3257d4ec-63e1-43ae-a0e5-b90024ee55dd · outbound
This paper cites an unresolved cited work.
On virtual singular braid groups Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-05-24T11:49:25.715581Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 43035df7-21b7-47c3-adf5-85ca6a355720 · outbound
This paper cites Magnus, A.
On virtual singular braid groups Magnus, A
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T11:49:25.737730Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 20a98955-f8df-4ba5-996f-8917796f1910 · outbound
This paper cites an unresolved cited work.
On virtual singular braid groups Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-05-24T11:49:25.763955Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation d9281108-e04f-4ebd-9144-50873baf55bb · outbound
This paper cites Zhu, On singular braids, J.
On virtual singular braid groups Zhu, On singular braids, J
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T11:49:25.712878Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Pith citing papers
Observation 4619d7d2-c943-4e44-bbcd-40981a55494f · inbound
Universal virtual braid groups cites this paper.
Universal virtual braid groups On virtual singular braid groups
Reference 20
- Resolution
- verified exact
- local_arxiv, observed 2026-05-13T21:03:20.357837Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 067ce568-b91d-4329-8c4f-f95dfd5ba652 · inbound
On Universal Virtual and Welded Braid Groups and Their Linear Representations cites this paper.
On Universal Virtual and Welded Braid Groups and Their Linear Representations On virtual singular braid groups
Reference 16
- Resolution
- verified exact
- local_arxiv, observed 2026-05-11T13:26:05.387589Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.