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Paper Citation Record · LEDGER

On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$

As of 15 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 4 inbound Pith citation observations for arXiv:2508.04168.

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

pith.paper-citation-record.v1
2508.04168 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T00:55:26.676876Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T18:51:28.801335Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-28T20:12:37.649719Z

Reference resolution

12 of 12 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 254e7718-8b7d-417d-baaa-35366dc5e209 · outbound

This paper cites Twenty-five years of signal processing advances for multiantenna communications: From theory to mainstream technology,.

On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$ Twenty-five years of signal processing advances for multiantenna communications: From theory to mainstream technology,

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:55:28.409244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T00:55:25.703766Z digest=sha256:3285c8886c5b018718e09cb3ca9f9de2916876da441bf8731fe3171bdbf3456b

Observation d0326166-b1d0-4195-ab0e-569446012321 · outbound

This paper cites Integrated sensing and communications: Toward dual-functional wire- less networks for 6G and beyond,.

On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$ Integrated sensing and communications: Toward dual-functional wire- less networks for 6G and beyond,

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-06T00:55:25.778200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T00:55:25.778200Z digest=sha256:6cdaa4ae4d2ec90767d400b90c9f6841091925058f0e6f256ed164fa051121e5

Observation 2cb59656-58ed-46df-ba01-c6f0e778a7ed · outbound

This paper cites A tutorial on extremely large-scale MIMO for 6G: Fundamentals, signal processing, and applications,.

On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$ A tutorial on extremely large-scale MIMO for 6G: Fundamentals, signal processing, and applications,

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:55:28.199239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T00:55:25.880185Z digest=sha256:37eda722c045dd035d7d63a9efd76af211c3c3f67da991d7c90365b9d341b422

Observation 72d9b6fd-8dee-40ed-bc76-8d9eff623eb0 · outbound

This paper cites Performance Analysis of Near-Field Sensing in Wideband MIMO Systems.

On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$ Performance Analysis of Near-Field Sensing in Wideband MIMO Systems

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-06T00:55:25.953380Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T00:55:25.953380Z digest=sha256:e7718056f644d6334852e95f21c03c12319150bad2c03528bfda69eb454ef483

Observation f4130d28-7b49-4fd5-a977-c581b4b8283b · outbound

This paper cites Unified near-field and far-field localization for AOA and hybrid AOA-TDOA positionings,.

On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$ Unified near-field and far-field localization for AOA and hybrid AOA-TDOA positionings,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:55:27.983292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T00:55:26.026381Z digest=sha256:696bdca5b9b3f40a5ff24f07a3bf7e84ea0b4a9f18e73a2e8b5cdeed30bc6602

Observation e1ef30d4-4a67-46f3-ae31-c1aeb1247760 · outbound

This paper cites Multiple signal classification based joint communication and sensing system,.

On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$ Multiple signal classification based joint communication and sensing system,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:55:27.780898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T00:55:26.134239Z digest=sha256:6ab2c80436f7c84507da5b62ae26e9c1d5036e503d6fa1a8c42d765b67ae0280

Observation fc67ac37-fc59-49ee-ac84-e9e56361acd4 · outbound

This paper cites Channel estimation for extremely large-scale MIMO: Far-field or near-field?.

On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$ Channel estimation for extremely large-scale MIMO: Far-field or near-field?

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-06T00:55:26.236147Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T00:55:26.236147Z digest=sha256:f091f2af8427dd4240e878b9fa7541020ea158f493ee37b46aa83b409ac67ffb

Observation 94f5bc76-deef-4942-a9d1-70da8f608499 · outbound

This paper cites Rethinking integrated sensing and com- munication: When near field meets wideband,.

On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$ Rethinking integrated sensing and com- munication: When near field meets wideband,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:55:27.550210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T00:55:26.368854Z digest=sha256:d3692bdbc3a16f2320bcd85bcee1e7b01830d419c22a5079cbb97cf790a65081

Observation 7147300a-4b45-416a-9a23-ed3da1acc207 · outbound

This paper cites Beam squint assisted user localization in near-field integrated sensing and communications systems,.

On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$ Beam squint assisted user localization in near-field integrated sensing and communications systems,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:55:27.318234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T00:55:26.455818Z digest=sha256:daa1f90f397bee2ed38b8e2091a454e13d05024c9bd7ffc4d8f8fb041b3da9e1

Observation 1124e34d-5629-4943-8137-3b390c18ba7f · outbound

This paper cites Near-field localization and sensing with large-aperture arrays: From signal modeling to pro- cessing,.

On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$ Near-field localization and sensing with large-aperture arrays: From signal modeling to pro- cessing,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:55:27.167581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T00:55:26.519782Z digest=sha256:e5fce8d69567be7424f448e8c5d48c70d472cc44aac18fcaa95d9483376e2801

Observation dde756cf-6ca3-4ac0-8a9a-87b108834749 · outbound

This paper cites Estimation of source parameters by maximum likelihood and nonlinear regression,.

On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$ Estimation of source parameters by maximum likelihood and nonlinear regression,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:55:27.007373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T00:55:26.584695Z digest=sha256:a524c719f398b3776d6f96f743355bed98d3558ae326be045db982e931e4ce1e

Observation 92f9c00c-db65-4ae6-ab66-bac6e652c716 · outbound

This paper cites Three more decades in array signal processing research: An optimization and structure exploitation perspective,.

On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$ Three more decades in array signal processing research: An optimization and structure exploitation perspective,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:55:26.901387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T00:55:26.676876Z digest=sha256:d73222fca0c207eb23556881f165b238f8b61c6e79d52934f70a79f4f5f8726d

Pith citing papers

Observation a3999ec2-a041-47ec-a188-1305ffce1cf9 · inbound

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

On the classification and irreducibility of $2$-local representations of the twin group $T_n$ On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-05T18:51:28.801335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T18:51:28.801335Z digest=sha256:fc62394f6c9d4a2ca10f097eb971f94c030d6a41d0ebf9c341240dd85ddcf92d

Observation ae0dff1e-69a6-4934-96e0-a1107e8c1ebd · 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 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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-10T01:43:41.931372Z digest=sha256:fbc181cd1bbc9ed0b104a7c7cd3b397ae12e551079e180bd75de2f7e9162e5ba

Observation 4e040c54-468e-4793-bdf9-8985c4a02dcb · inbound

Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups cites this paper.

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-14T01:48:26.441136Z digest=sha256:4f0b9323e7b606734ef68826c60b71e77d91413e7c8254bf7cf448f963192950

Observation c36f32e2-19db-4c30-9218-3120ba8555e1 · inbound

Multi-welded twin groups cites this paper.

Multi-welded twin groups On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-06-28T20:12:37.650858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-28T20:11:15.453728Z digest=sha256:b69da3e5314a0a70ffa119bbd916730d9476500047ca9b32eeeb98ffa57345db