Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-28T20:11:15.453728Z
Paper Citation Record · LEDGER
Multi-welded twin groups
As of 3 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2605.31298.
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 2026-08-03T06:30:56.289259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
12 of 12 outbound references displayed
- verified exact5
- verified fuzzy0
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 04df7b5e-e90a-43b7-9ae3-85159816e37b · outbound
This paper cites an unresolved cited work.
Multi-welded twin groups Unresolved cited work
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T20:11:15.453728Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c70a8954-fdea-4a38-9d5b-43ac71104d58 · outbound
This paper cites an unresolved cited work.
Multi-welded twin groups Unresolved cited work
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T20:11:15.453728Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9c878a05-de26-4049-8e42-537c780b64d0 · outbound
This paper cites an unresolved cited work.
Multi-welded twin groups Unresolved cited work
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T20:11:15.453728Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c36f32e2-19db-4c30-9218-3120ba8555e1 · outbound
This paper cites On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$.
Multi-welded twin groups On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$
Reference 4
- Resolution
- verified exact
- arxiv_id, observed 2026-06-28T20:12:37.650858Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 28b85c9d-0746-4b01-8e29-6e093a3381bd · outbound
This paper cites Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups.
Multi-welded twin groups Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-06-28T20:12:37.642395Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation aeb47ad1-0107-4541-b43e-a204535744de · outbound
This paper cites Khovanov,RealK(π,1)arrangements from finite root systems, Math.
Multi-welded twin groups Khovanov,RealK(π,1)arrangements from finite root systems, Math
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T20:11:15.453728Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 69a1c4dd-e067-47a3-84bf-4307df1deeb6 · outbound
This paper cites Khovanov,Doodle groups, Transactions of the American Mathematical Society 349, 2297–2315, (1997).
Multi-welded twin groups Khovanov,Doodle groups, Transactions of the American Mathematical Society 349, 2297–2315, (1997)
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T20:11:15.453728Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1651562b-f36a-43ed-8988-845190afcf46 · outbound
This paper cites Twin groups representations.
Reference 8
- Resolution
- verified exact
- local_arxiv, observed 2026-06-28T20:12:37.646557Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 11aae19a-6b62-4871-a76f-2f8515f0ecc7 · outbound
This paper cites Nasser,Attacks on local representations of the virtual and the welded braid groups, Ann.
Multi-welded twin groups Nasser,Attacks on local representations of the virtual and the welded braid groups, Ann
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T20:11:15.453728Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f227086c-9f45-4a62-b887-a957e4e11df1 · outbound
This paper cites On Universal Virtual and Welded Braid Groups and Their Linear Representations.
Multi-welded twin groups On Universal Virtual and Welded Braid Groups and Their Linear Representations
Reference 10
- Resolution
- verified exact
- local_arxiv, observed 2026-06-28T20:12:37.644658Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 32c8606e-0c75-4d73-a084-ee6eb7fd41e8 · outbound
This paper cites Universal virtual braid groups.
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-06-28T20:12:37.648724Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.
Observation 236f60dc-d5c6-4764-9089-264de41d6d89 · outbound
This paper cites Shabat and V.
Multi-welded twin groups Shabat and V
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T20:11:15.453728Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.