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Paper Citation Record · LEDGER

Quasitoric representation of generalized braids

As of 19 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2411.18783.

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

pith.paper-citation-record.v1
2411.18783 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:04:25.688852Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

25 of 25 outbound references displayed

  • verified exact2
  • verified fuzzy18
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d4689d79-763e-4517-8b90-01c88ff729b2 · outbound

This paper cites Bardakov.

Quasitoric representation of generalized braids Bardakov

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:04:26.198939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.590275Z digest=sha256:4104a9ea199210798391edc68686a859260af78aef309d5a8fad1c758c2ff572

Observation 4546140d-ea1e-46b3-beda-fb88efb4aaab · outbound

This paper cites Bardakov, Paolo Bellingeri, and Celeste Damiani.

Quasitoric representation of generalized braids Bardakov, Paolo Bellingeri, and Celeste Damiani

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:04:26.187982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.596129Z digest=sha256:0ed89ffc6dbc706df63203e0112c133d19892a9ae67cfc55857d365e207190a4

Observation f664f676-e1b2-4613-90c3-3bcf0756b717 · outbound

This paper cites Alexander and M arkov theorems for generalized knots, I.

Quasitoric representation of generalized braids Alexander and M arkov theorems for generalized knots, I

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:04:26.174892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.600742Z digest=sha256:e82699d969e386b5a81d4055c5e81c8677e5f8615fd0d7cbfa80b611ce057612

Observation ca13734f-037c-4d5d-b6d7-3c663620198d · outbound

This paper cites an unresolved cited work.

Quasitoric representation of generalized braids Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:04:26.161999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.605117Z digest=sha256:971812868b012af97758fd3c63f7c159512882d9e7b7e0418aed66c2eed3c696

Observation fff199a0-2c03-4c15-a497-7ce39686324b · outbound

This paper cites Singular braids, singular links and subgroups of camomile type.

Quasitoric representation of generalized braids Singular braids, singular links and subgroups of camomile type

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-12T11:04:25.609626Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T11:04:25.609626Z digest=sha256:27ebfefaffca6e8dc14d727be77cebc6c116e92b2bb81a17e910d6f38c7eac8a

Observation 7cb0b53a-ee0d-4adb-b144-5f3d68fe9043 · outbound

This paper cites On a quasitoric virtual braid presentation of a virtual link.

Quasitoric representation of generalized braids On a quasitoric virtual braid presentation of a virtual link

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:04:26.147774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.614053Z digest=sha256:025f474aeb54219dcb70e40d0cbab692290f71859f439419c638badcfec6973f

Observation 5f0651cb-b010-4873-8840-832ece572e8c · outbound

This paper cites On the quasitoric braid index of a link.

Quasitoric representation of generalized braids On the quasitoric braid index of a link

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:04:26.133722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.618355Z digest=sha256:7c550dcab6f8e4b3357346915d7155b46cb679bc58b3678e80dc65f3a474ee5f

Observation 26cdedeb-bc41-4afa-b236-dff78a9b7e1b · outbound

This paper cites Structural aspects of twin and pure twin groups.

Quasitoric representation of generalized braids Structural aspects of twin and pure twin groups

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:04:26.120517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.622764Z digest=sha256:c08812d3a8d647871a867262afa2012e075b8f6f22904d51d4ae9d01c4a76e77

Observation 2021f8e4-1f4b-4f16-9556-8cd9a197c943 · outbound

This paper cites an unresolved cited work.

Quasitoric representation of generalized braids Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:04:26.107371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.626626Z digest=sha256:98eb9747ba6d63fed27005dc3c7a2c1c80f6db89514ed61f09a021b452ad8cb1

Observation 515aa7c6-4e65-4cc2-b200-4f9bb8b35bbf · outbound

This paper cites Generalised biquandles for generalised knot theories.

Quasitoric representation of generalized braids Generalised biquandles for generalised knot theories

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:04:26.093957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.630782Z digest=sha256:69a6a2e1e2f46e975adcd639d526fade40f349b1bcfcc9b9505ed30e38d5c0a4

Observation dbedfdcd-b4bf-4576-8aec-e992f6c26bcd · outbound

This paper cites The singular braid monoid embeds in a group.

Quasitoric representation of generalized braids The singular braid monoid embeds in a group

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:04:26.080803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.635259Z digest=sha256:d6038d4f3f81cf85f21fd362083e1ad29be42cd3225e9b5129e6009d07d3ea0f

Observation fd02f583-f63a-4e28-bb73-252c4ff50188 · outbound

This paper cites Some remarks on the braid-permutation group.

Quasitoric representation of generalized braids Some remarks on the braid-permutation group

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:04:26.066303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.639713Z digest=sha256:957ec13042477354b84fdd38c8f5051b9d6ed9c2ec0329674a5fd94f87670526

Observation 3d87498e-3637-4f26-9dc5-a4114f13bc54 · outbound

This paper cites Goldsmith.

Quasitoric representation of generalized braids Goldsmith

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:04:26.048290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.643708Z digest=sha256:65a57397ad717366681bc82d25fe532765630c278d6c1933d6b63d2ec957c475

Observation 8ec8d8b9-cd55-4445-8939-e8329e868a28 · outbound

This paper cites Kauffman.

Quasitoric representation of generalized braids Kauffman

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:04:26.031497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.647664Z digest=sha256:15c41be08a8b227b397a172fa22ff601679eadc6d7a78e34306b545e61ff77f4

Observation ec4a9c5e-57bd-40ff-bb2e-677e9fcbf184 · outbound

This paper cites Kauffman and Sofia Lambropoulou.

Quasitoric representation of generalized braids Kauffman and Sofia Lambropoulou

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:04:26.011399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.651841Z digest=sha256:be16dee2b9815e1c57aea1d1b08aefb510353ef01d31cc89dcdf647868b5bb78

Observation 32752f18-8d28-434f-842f-aa856723abdd · outbound

This paper cites a t Bonn, Mathematisches Institut, Bonn, 1999. Dissertation, Rheinische Friedrich-Wilhelms-Universit\.

Quasitoric representation of generalized braids a t Bonn, Mathematisches Institut, Bonn, 1999. Dissertation, Rheinische Friedrich-Wilhelms-Universit\

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:04:25.997616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.656823Z digest=sha256:7c1d4826ea91cbe9b9e284938864ce57ccacb7d672e54951d243dde64b64dd75

Observation 9dd52a1e-6a20-4b34-b30a-de34481620dd · outbound

This paper cites Fourier Knots.

Quasitoric representation of generalized braids Fourier Knots

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-12T11:04:25.868049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.660722Z digest=sha256:abd4b54b03d39800a6f2abee812037451b4f235b851515c0160994f69b29dd89

Observation 5fed58fe-8872-4b8f-b307-5c964622c071 · outbound

This paper cites Formulas for the C asson invariant of certain integral homology 3-spheres.

Quasitoric representation of generalized braids Formulas for the C asson invariant of certain integral homology 3-spheres

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:04:25.982581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.664868Z digest=sha256:6c700b1a6423bde354c7da4605e23b6dbf6caf5c34f875ebef59bca639056ef1

Observation a877314f-59f9-4c97-8e2a-156d7f9dd7e4 · outbound

This paper cites an unresolved cited work.

Quasitoric representation of generalized braids Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:04:25.969982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.668639Z digest=sha256:accd596fa8865ccfe85cb4201db96600b55f0683d16f3df817652f5f3a938e01

Observation 0f71c3b5-e1e9-43fe-8e20-c2f135ee0d51 · outbound

This paper cites an unresolved cited work.

Quasitoric representation of generalized braids Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:04:25.955053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.672155Z digest=sha256:efc31d30636446d87132b9bbb08f40d4dda00f09106213beed41ff739830119d

Observation 19fc02ef-054a-4a64-9ee3-bd5519be8559 · outbound

This paper cites Combinatorial group theory: P resentations of groups in terms of generators and relations.

Quasitoric representation of generalized braids Combinatorial group theory: P resentations of groups in terms of generators and relations

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:04:25.936741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.675891Z digest=sha256:3be39794aa5a2fa529b6a80c2a59d87fce5e3f48d303409a7e45f233df3a0145

Observation dc6d1e46-066c-4bf5-9920-34633704ad44 · outbound

This paper cites Polynomial invariants, knot homologies, and higher twist numbers of weaving knots W(3,n).

Quasitoric representation of generalized braids Polynomial invariants, knot homologies, and higher twist numbers of weaving knots W(3,n)

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:04:25.922015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.679066Z digest=sha256:4370362fa961a4f8edab01bf24ffd0aae098e4d48edc0681a0f0308fae3f9aea

Observation 22f65304-6849-4d98-83a9-328a35d75601 · outbound

This paper cites Structure and automorphisms of pure virtual twin groups.

Quasitoric representation of generalized braids Structure and automorphisms of pure virtual twin groups

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:04:25.907841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.682040Z digest=sha256:5c165098a4db3557aedae5e17ddcfd0971927bf0f3922c600432a94446549445

Observation 2dba20d4-d5b1-418c-abfa-16385925968b · outbound

This paper cites Minimal generating sets and the abelianization for the quasitoric braid group.

Quasitoric representation of generalized braids Minimal generating sets and the abelianization for the quasitoric braid group

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:04:25.894703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.685325Z digest=sha256:327d685db97afb8bfa248ff2b3ff3ec9dbf9320aa0c152d9412b3b1fc257f56f

Observation 8555ec26-a72b-4c78-a704-f2cbef9d96a4 · outbound

This paper cites Any link has a diagram with only triangles and quadrilaterals.

Quasitoric representation of generalized braids Any link has a diagram with only triangles and quadrilaterals

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-08-12T11:04:25.848519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.688852Z digest=sha256:75b015dab7b3da025002fb7b889a3bae0e1419f8aba45879a63f29a71917a9eb

Pith citing papers

No inbound Pith citation observations are available.