Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-14T01:48:26.441136Z
Paper Citation Record · LEDGER
Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups
As of 3 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2605.13090.
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, observed 2026-06-28T20:11:15.453728Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-06-28T20:12:37.641201Z
Reference resolution
18 of 18 outbound references displayed
- verified exact4
- verified fuzzy12
- unresolved2
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation a24e573e-f1d8-499a-989a-fbda0d91c514 · outbound
This paper cites Bardakov, M.
Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups Bardakov, M
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T01:48:36.176085Z
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 5a897a76-c8f2-432e-99f8-5f64ebdd4ae3 · outbound
This paper cites Caprau and M.
Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups Caprau and M
Reference 2
- Resolution
- verified exact
- arxiv_id, observed 2026-05-14T01:48:35.999168Z
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 33a725b8-ba2c-4f5e-b0b7-570445cfeb17 · outbound
This paper cites Chreif, M.
Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups Chreif, M
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T01:48:36.132409Z
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 dc132be6-dd72-42de-9304-5b811fd42805 · outbound
This paper cites Kauffman,Multi-virtual knot theory, Journal of Knot Theory and Its Ramifications, 34, 2540002, (2025).
Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups Kauffman,Multi-virtual knot theory, Journal of Knot Theory and Its Ramifications, 34, 2540002, (2025)
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T01:48:36.144839Z
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 4e040c54-468e-4793-bdf9-8985c4a02dcb · outbound
This paper cites On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$.
Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$
Reference 5
- Resolution
- verified exact
- arxiv_id, observed 2026-05-14T01:48:35.993112Z
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 71146203-2f15-4142-958a-04889b17e7a5 · outbound
This paper cites Khovanov,RealK(π,1)arrangements from finite root systems, Math.
Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups Khovanov,RealK(π,1)arrangements from finite root systems, Math
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T01:48:36.172364Z
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 f0ebc6a9-992e-40b0-a6ea-067d17c6e540 · outbound
This paper cites Khovanov,Doodle groups, Transactions of the American Mathematical Society 349, 2297–2315, (1997).
Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups Khovanov,Doodle groups, Transactions of the American Mathematical Society 349, 2297–2315, (1997)
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T01:48:36.128576Z
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 1b453855-6441-4104-aa28-45835de42518 · outbound
This paper cites Magnus, A.
Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups Magnus, A
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T01:48:36.160154Z
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 51bf6d5b-c6bc-43ac-8a0c-f677ed0d823f · outbound
This paper cites On the classification and irreducibility of $2$-local representations of the twin group $T_n$.
Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups On the classification and irreducibility of $2$-local representations of the twin group $T_n$
Reference 9
- Resolution
- verified exact
- arxiv_id, observed 2026-05-14T01:48:36.006653Z
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 4684fce0-a2c8-4121-a8b8-f58eab9c9773 · outbound
This paper cites Merkov, Vassiliev invariants classify flat braids,Differential and sym- plectic topology of knots and curves, volume 190 of Amer.
Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups Merkov, Vassiliev invariants classify flat braids,Differential and sym- plectic topology of knots and curves, volume 190 of Amer
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T01:48:36.123582Z
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 1d3d03ac-13ba-4a39-b36f-3413d8381518 · outbound
This paper cites Mikhalchishina,Local representations of braid groups, Siberian Math- ematical Journal 54 (4), 666–678, (2013).
Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups Mikhalchishina,Local representations of braid groups, Siberian Math- ematical Journal 54 (4), 666–678, (2013)
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T01:48:36.136569Z
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 ae8beaf5-bb3e-4817-a775-b7eb2cc8437a · outbound
This paper cites Mostovoy and C.
Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups Mostovoy and C
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T01:48:36.148663Z
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 951e3c69-9f58-42f9-9ad4-1a817f6bc8c1 · outbound
This paper cites an unresolved cited work.
Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T01:48:36.140479Z
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 d6165179-a12c-4c4a-ba56-067d8a0523a9 · outbound
This paper cites an unresolved cited work.
Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-05-14T01:48:36.152214Z
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 9e4c9d47-390f-45d0-8335-8018299ae34a · outbound
This paper cites Nasser,Local extensions andΦ-type extensions of some local represen- tations of the braid groupBn to the singular braid monoidSMn, Vietnam Journal of Mathematics, 1–12, (2025).
Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups Nasser,Local extensions andΦ-type extensions of some local represen- tations of the braid groupBn to the singular braid monoidSMn, Vietnam Journal of Mathematics, 1–12, (2025)
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T01:48:36.156447Z
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 3bb75740-2358-4af4-9514-2cf1b14fda2e · outbound
This paper cites Nasser and N.
Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups Nasser and N
Reference 16
- Resolution
- verified exact
- arxiv_id, observed 2026-05-14T01:48:36.012136Z
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 4951b464-f906-4492-9803-902c71a5bb9a · outbound
This paper cites Nasser,Insights on the homogeneous3-local representations of the twin groups, J.
Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups Nasser,Insights on the homogeneous3-local representations of the twin groups, J
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T01:48:36.168285Z
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 9dfc5297-35ee-44c0-aa63-f9ff22816164 · outbound
This paper cites Shabat and V.
Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups Shabat and V
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-14T01:48:36.164133Z
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.
Pith citing papers
Observation 28b85c9d-0746-4b01-8e29-6e093a3381bd · inbound
Multi-welded twin groups cites this paper.
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.