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Paper Citation Record · LEDGER

Quasitoric representation of generalized braids

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.590275Z digest=sha256:8aeab31aa57f5a859f3d2b9e29b2aad9f0b8b8ffa1c086ffe05044a5dc68ab23

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.596129Z digest=sha256:06065f1d60f2426f57e08333fc14b30d73ae25962ac82bcacceab1ec6f6f9f98

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.600742Z digest=sha256:d9089af5f89e843d99185184c33bf0e6dbf60574c8a694d6e88f0ed4944ced61

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.605117Z digest=sha256:da731e8252ad178afb77f5f6e3922e3c45a1cc6f8490fa86c069361e2ce5123f

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.614053Z digest=sha256:7eb7b04a9a50cc3bc1e4307ad0952425ee81a14e6595adcb85ceb3c59d6229df

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.618355Z digest=sha256:6cb442d764dd6eb21da28a00dbedcb236ad5e1bc318a15e57ae57af962cdbde9

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.622764Z digest=sha256:0622e61e93597d179114411c3cceacccd12b5c17c1cd2bf095c581ef27e9566b

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.626626Z digest=sha256:3de72a80807d0edda231d60aba7d7b8dd854357d10b61829b5f489b6c179784d

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.630782Z digest=sha256:9b3403c719cb7cdf65760982592e1781c8bc06d1cde065eef8b288af9c5ff472

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.635259Z digest=sha256:287af6a072a692ee0b602bcddacbde176f4519b0805a9a0cc409cd12eef18a13

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.639713Z digest=sha256:fe2508d949554bab69d547ebb514b640fe893a251cd20ec6d237e833bfa0a32f

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.643708Z digest=sha256:1d8bc78e6eed33a999f1cfb6515f4be659a3aa1fccba418cfe590f0f6f3a145c

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.647664Z digest=sha256:0a8a20edb58e41a4982520f08080952a7cefc2b3605e9c3424eee97eb5944610

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.651841Z digest=sha256:3bb5e0ff84e052b3912e13218f48b10dc0b13a6e85cf9240c93b61cae3fd4246

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.656823Z digest=sha256:0cd02d701b832a81bb4bf590a3260dc19b055f265452ac80504f2965935637ac

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.660722Z digest=sha256:a776e286423e01d20c9b255c4296340605eee10a3392d3a411e700e51b0d07f1

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.664868Z digest=sha256:f96aa04dbbbd4098c3e751837da9fd315af99a6004e07fdcc232f276b38c533d

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.668639Z digest=sha256:216cf87b191237f5a2e881fce3b71984a086fb243eb6148f8389fb8184ace710

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.672155Z digest=sha256:fe72b61b78d0eaa1f3fb5723684effa4f6450b0b4fec69fb96ad7a73c0500df4

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.675891Z digest=sha256:5376128d62eadb2688fc9a4fe526664789201ec27ac889e3c3a9bf67e0955520

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.679066Z digest=sha256:23b6b5abeade2923e894bd69a0a50d126fba24bfbfecd940852de61626fcc104

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.682040Z digest=sha256:b88a15e2e25f075379bb4e95be1cd972de2f2afe63e5ecde346430441164bc47

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.685325Z digest=sha256:c9e0a6d01f7b672532e67b526fa4942877663c360d0bdeee6b0770e006d774dd

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-12T11:04:25.688852Z digest=sha256:ba35122b11597d3351be7e64c07cf570748ce4e23ba411e2aaaea5521f61b93e

Pith citing papers

No inbound Pith citation observations are available.