Paper Citation Record · LEDGER

Universal virtual braid groups

As of 5 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 3 inbound Pith citation observations for arXiv:2604.01633.

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

pith.paper-citation-record.v1
2604.01633 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-13T20:58:51.972587Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 3 of 3 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 2026-07-02T15:47:06.994168Z

Reference resolution

23 of 23 outbound references displayed

verified exact3
verified fuzzy9
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7119e446-047d-4f34-9ca4-7a441b4d74f1 · outbound

This paper cites Almeida, I.

Universal virtual braid groups Almeida, I

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T00:43:34.310264Z

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 88371a44-abbe-4d15-b3e8-8814651ada37 · outbound

This paper cites an unresolved cited work.

Universal virtual braid groups Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-05-14T00:43:34.267131Z

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 e4887a83-8ca6-45e3-9cc0-b0601f67a983 · outbound

This paper cites an unresolved cited work.

Universal virtual braid groups Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-05-14T00:43:34.288445Z

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 aaf75313-46ad-44a2-a25b-766ba7a88b9f · outbound

This paper cites an unresolved cited work.

Universal virtual braid groups Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-05-14T00:43:34.277030Z

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 f8e247a3-fa47-4d12-93a8-a8930c4869c1 · outbound

This paper cites Bellingeri and L.

Universal virtual braid groups Bellingeri and L

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T00:43:34.258840Z

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 7dab0b78-8077-489c-a457-c3cac24c7d26 · outbound

This paper cites Bellingeri, L.

Universal virtual braid groups Bellingeri, L

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T00:43:34.317158Z

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 2f918877-0673-4486-ae0b-38011aecee94 · outbound

This paper cites Bieri,Homological dimension of discrete groups, 2nd ed., Queen Mary College Mathe- matics Notes, Queen Mary College, London.

Universal virtual braid groups Bieri,Homological dimension of discrete groups, 2nd ed., Queen Mary College Mathe- matics Notes, Queen Mary College, London

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T00:43:34.295201Z

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 4af41c21-546a-4337-82d3-ef5ae9a566a4 · outbound

This paper cites Bogopolski,Introduction to group theory, EMS Textbooks in Mathematics, European Mathematical Society, Z¨ urich.

Universal virtual braid groups Bogopolski,Introduction to group theory, EMS Textbooks in Mathematics, European Mathematical Society, Z¨ urich

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T00:43:34.250718Z

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 1dccb0b6-66e5-4f3f-94aa-849435c1094f · outbound

This paper cites an unresolved cited work.

Universal virtual braid groups Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-05-14T00:43:34.263388Z

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 437214fc-dfcb-4957-a4a7-e13bfd345cf3 · outbound

This paper cites Caprau, A.

Universal virtual braid groups Caprau, A

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T00:43:34.246365Z

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 9a77f522-dac4-49a2-a2bd-f97672bafcf2 · outbound

This paper cites an unresolved cited work.

Universal virtual braid groups Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-05-14T00:43:34.200034Z

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 82376ba0-1de3-44b0-9979-56258da5c648 · outbound

This paper cites Some characterizations of Howson PC-groups.

Universal virtual braid groups Some characterizations of Howson PC-groups

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-07-04T19:04:49.273462Z

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 cc8c38ea-8a7f-455a-846c-7a71a06c49d9 · outbound

This paper cites Godelle and L.

Universal virtual braid groups Godelle and L

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T00:43:34.170335Z

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 b6e42692-541c-4592-b1d7-c6de088467cc · outbound

This paper cites an unresolved cited work.

Universal virtual braid groups Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-05-14T00:43:34.196688Z

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 4d59354a-1147-4b1f-8b3b-a1e3344d4bdd · outbound

This paper cites Haglund and D.

Universal virtual braid groups Haglund and D

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T00:43:34.185602Z

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 0de8b1e1-7694-4036-adce-59ceb6fba0bd · outbound

This paper cites an unresolved cited work.

Universal virtual braid groups Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-05-14T00:43:34.203442Z

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 6d9114c9-0dee-4838-9c59-053069dd4359 · outbound

This paper cites an unresolved cited work.

Universal virtual braid groups Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-05-14T00:43:34.237360Z

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 4bd0c403-4cc1-49e2-8784-62ac4238a339 · outbound

This paper cites Braids and Permutations.

Universal virtual braid groups Braids and Permutations

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-05-13T21:03:20.365881Z

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 79a9a563-f683-42e7-b83e-5b893db59103 · outbound

This paper cites an unresolved cited work.

Universal virtual braid groups Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-05-14T00:43:34.218946Z

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 4619d7d2-c943-4e44-bbcd-40981a55494f · outbound

This paper cites On virtual singular braid groups.

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 f5628140-f461-4b1d-9015-f06d73708f92 · outbound

This paper cites Scott, Subgroups of surface groups are almost geometric,J.

Universal virtual braid groups Scott, Subgroups of surface groups are almost geometric,J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T00:43:34.301959Z

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 801ca469-890f-4c65-9f96-0f68d2ce79d9 · outbound

This paper cites an unresolved cited work.

Universal virtual braid groups Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-05-14T00:43:34.206849Z

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 1b101f14-ff2a-4522-84ae-ececaabdd681 · outbound

This paper cites an unresolved cited work.

Universal virtual braid groups Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-05-14T00:43:34.213680Z

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 2bbc7663-9ef7-475e-a1b4-a16ee149a337 · 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 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 2026-08-05T06:32:48.257954+00:00.

Observation 32c8606e-0c75-4d73-a084-ee6eb7fd41e8 · inbound

Multi-welded twin groups cites this paper.

Multi-welded twin groups 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 2026-08-05T06:32:48.257954+00:00.

Observation 5b9bca64-cbec-477b-83f5-dd6c58f4cf01 · inbound

Forbidden relations in universal virtual braid groups cites this paper.

Forbidden relations in universal virtual braid groups Universal virtual braid groups

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-07-02T15:47:06.995865Z

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.