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Paper Citation Record · LEDGER

On Universal Virtual and Welded Braid Groups and Their Linear Representations

As of 4 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 2 inbound Pith citation observations for arXiv:2604.19307.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2604.19307 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T01:43:41.931372Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T20:11:15.453728Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-02T15:47:06.990609Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact4
  • verified fuzzy8
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 31180eab-6356-4b75-ba87-27dda43b42c6 · outbound

This paper cites an unresolved cited work.

On Universal Virtual and Welded Braid Groups and Their Linear Representations Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:17:25.972674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T01:43:41.931372Z digest=sha256:0786cfd317bdafa17057e59d954dda4a575cb086a0f369ff4e386364bd1a258a

Observation 64a601e0-2bae-4aa6-a03c-ab7dc08c7e4e · outbound

This paper cites an unresolved cited work.

On Universal Virtual and Welded Braid Groups and Their Linear Representations Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:17:25.942931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T01:43:41.931372Z digest=sha256:2c21d05c074f7f7745d6881bc0437ab4d6bb149046e0d9072f636f767cbdbcc0

Observation 55faab9b-17ba-47e6-be77-dfae0b1cc537 · outbound

This paper cites Burau,Braids, uber zopfgruppen and gleichsinnig verdrillte verkettungen, Abh.

On Universal Virtual and Welded Braid Groups and Their Linear Representations Burau,Braids, uber zopfgruppen and gleichsinnig verdrillte verkettungen, Abh

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:17:25.976836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T01:43:41.931372Z digest=sha256:dac93bc00414fbbc12e44f1f9118cbcd961a4f8451ada6e4e303f26b928116f3

Observation eef4b5eb-e651-4fc6-8ed8-48db7aade9b5 · outbound

This paper cites Caprau, A.

On Universal Virtual and Welded Braid Groups and Their Linear Representations Caprau, A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:17:25.940002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T01:43:41.931372Z digest=sha256:27ddd8cc1735cf28ba8a223b830753e9a2549348c03600f6b08700c1f1f1b128

Observation fdf885fa-d191-49fe-bddc-4c3f95700e65 · outbound

This paper cites an unresolved cited work.

On Universal Virtual and Welded Braid Groups and Their Linear Representations Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:17:25.954766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T01:43:41.931372Z digest=sha256:4ea02011f43e867f64f7acf1d447e06072ad7ba1cdedfc935f2a13829f8e717d

Observation cc98cd78-2682-4442-a87a-c69116a567d1 · outbound

This paper cites Dey and K.

On Universal Virtual and Welded Braid Groups and Their Linear Representations Dey and K

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:17:25.984910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T01:43:41.931372Z digest=sha256:93a5cfbf387876225b529c3d1f8dc96ac1ae547f5c406a7bbb19652ce10832e8

Observation 5f991aa9-bfb2-4da8-91fc-9af99b6fbabb · outbound

This paper cites an unresolved cited work.

On Universal Virtual and Welded Braid Groups and Their Linear Representations Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:17:25.945755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T01:43:41.931372Z digest=sha256:bd4b45734e6ba99eeffabee6dc08ba4b746e07adcad50b193091d20f53cf35e1

Observation 0b8f96e5-76ca-4376-8666-7ccc08698733 · outbound

This paper cites an unresolved cited work.

On Universal Virtual and Welded Braid Groups and Their Linear Representations Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:17:25.982295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T01:43:41.931372Z digest=sha256:4391a4d20bf46671c42c50dc52055cbd3dc7a5e29fe4be03b2b5a128426f5823

Observation ae0dff1e-69a6-4934-96e0-a1107e8c1ebd · outbound

This paper cites On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$.

On Universal Virtual and Welded Braid Groups and Their Linear Representations On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-05-11T13:26:05.378898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T01:43:41.931372Z digest=sha256:a8f1480f36100d23128063ca6268a8da03c69e85741408db1abbaf2230f52303

Observation 64868c61-a72b-452a-8140-3beb58b36e2c · outbound

This paper cites On the classification and irreducibility of $2$-local representations of the twin group $T_n$.

On Universal Virtual and Welded Braid Groups and Their Linear Representations On the classification and irreducibility of $2$-local representations of the twin group $T_n$

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-11T13:26:05.393295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T01:43:41.931372Z digest=sha256:63e50ba8a1b4ecf178a4c1292e53b0b55130fb576ed25ebd274b9696eec52728

Observation 69abe455-762f-4c81-b3fd-0d0b56c65ce3 · outbound

This paper cites Mayassi and M.

On Universal Virtual and Welded Braid Groups and Their Linear Representations Mayassi and M

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:17:25.951648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T01:43:41.931372Z digest=sha256:cf1c5421c13bb4d2b0e2bd87e37675c8afdfbb47146e46356be48a8a4954c4ca

Observation 40370f5e-27cc-4a70-963e-6595c2ce07ab · outbound

This paper cites Mikhalchishina,Local representations of braid groups, Siberian Mathematical Journal, 54, 666–678, (2013).

On Universal Virtual and Welded Braid Groups and Their Linear Representations Mikhalchishina,Local representations of braid groups, Siberian Mathematical Journal, 54, 666–678, (2013)

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:17:25.957548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T01:43:41.931372Z digest=sha256:e7e0af836e58e229f2859aa834b03ea1f9be85f1bcd6f3c65743de77cbc38bfa

Observation 9c6403d0-4082-4ec5-a923-3005ead15be4 · outbound

This paper cites Nasser,Local extensions andΦ-type extensions of some local representations of the braid groupB n to the singular braid monoidSM n, Vietnam Journal of Mathematics, 1–12, (2024).

On Universal Virtual and Welded Braid Groups and Their Linear Representations Nasser,Local extensions andΦ-type extensions of some local representations of the braid groupB n to the singular braid monoidSM n, Vietnam Journal of Mathematics, 1–12, (2024)

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:17:25.979672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T01:43:41.931372Z digest=sha256:96f58a17f3933252922e94ce3027707a66b5e8224e8e19cc49d583a431988a75

Observation b87c69a0-7672-4ada-be19-55ee82c12cc5 · outbound

This paper cites Nasser,Insights on the homogeneous3-local representations of the twin groups, J.

On Universal Virtual and Welded Braid Groups and Their Linear Representations Nasser,Insights on the homogeneous3-local representations of the twin groups, J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:17:25.969336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T01:43:41.931372Z digest=sha256:6a60010cb3e5f60e65a1ca11d3202c2bbbbd8552170bfe6d523312f1ccdbb542

Observation f92f2559-4677-45b7-95b2-02f006999322 · outbound

This paper cites Nasser,Attacks on local representations of the virtual and the welded braid groups, Ann.

On Universal Virtual and Welded Braid Groups and Their Linear Representations Nasser,Attacks on local representations of the virtual and the welded braid groups, Ann

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:17:25.948897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T01:43:41.931372Z digest=sha256:f5f25170f514f1e778d632b7cf329c919b9e003d6119f7adc326bbe1a9b5dbf5

Observation 067ce568-b91d-4329-8c4f-f95dfd5ba652 · outbound

This paper cites On virtual singular braid groups.

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T01:43:41.931372Z digest=sha256:c3938994d3135c05c18032dbdcff29f22b7913e6439f426e00901220844cc372

Observation 2bbc7663-9ef7-475e-a1b4-a16ee149a337 · outbound

This paper cites Universal virtual braid groups.

On Universal Virtual and Welded Braid Groups and Their Linear Representations Universal virtual braid groups

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-05-11T13:26:05.370133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T01:43:41.931372Z digest=sha256:59764f82702f6deb53ed8ce21aaa025f7cafc2530170c48b3e9f47a0f00a0506

Pith citing papers

Observation f227086c-9f45-4a62-b887-a957e4e11df1 · inbound

Multi-welded twin groups cites this paper.

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-06-28T20:11:15.453728Z digest=sha256:7d67eaa1038dfcbad86c409e88414551bb8d00b6bc2d186d4598028d85a9b479

Observation 3ad0d6c2-790a-40a6-bdde-28b4a8a097e8 · inbound

Forbidden relations in universal virtual braid groups cites this paper.

Forbidden relations in universal virtual braid groups On Universal Virtual and Welded Braid Groups and Their Linear Representations

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-07-02T15:47:06.991773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-06-27T23:18:29.144130Z digest=sha256:f46854084c74f8ffce7ba343339484481eeaccad65f6f756f751530fd113734a