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

source=pdf_text observed=2026-08-06T00:55:25.703766Z digest=sha256:e03d2badbf0f790a7a24015b2e1a0c20fede46097dc0a1aeca02daac6f9c19ff

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

source=pdf_text observed=2026-08-06T00:55:25.880185Z digest=sha256:74f3c499804ab7beede637290dbd9f5b690738a47d36769eb43e7acedccaa930

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:aef5a8d6bc1f2cf8e88bcee9dd5e463371650c3878d0143c44de67ba2741cad3

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

source=pdf_text observed=2026-08-06T00:55:26.026381Z digest=sha256:50765dd527451a62d792eb84a7e245c2864f3189748d39f7af6d531f4ab4a0cc

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

source=pdf_text observed=2026-08-06T00:55:26.134239Z digest=sha256:4d7c100eddf27347e5ba67e9ffac2c90da58b8e6143edf92960f57b3562f28aa

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

source=pdf_text observed=2026-08-06T00:55:26.368854Z digest=sha256:38fcc3af01aa8e8bd5eefd1e52ddd63a0ad8b0c80def9207745c1b19f7dc5209

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

source=pdf_text observed=2026-08-06T00:55:26.455818Z digest=sha256:b86e822cc8569a3c2b548fd99c1945917c90eb879f9d40713869bb865f7d28ca

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

source=pdf_text observed=2026-08-06T00:55:26.519782Z digest=sha256:30ff7dfc9960d7a3d142dc72a1460f69f56cf45bbb4740b68d4388069cc7d161

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

source=pdf_text observed=2026-08-06T00:55:26.584695Z digest=sha256:f1d4974527be447857b1d5fb382a580daffbd7330a3af551227ac5a46d42a6e7

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

source=pdf_text observed=2026-08-06T00:55:26.676876Z digest=sha256:cdf6ba35ee4a6d1e0deddbceb9e8a1dcaca9875ef8160acdb574bc420a0a4f12

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

source=pdf_text observed=2026-05-10T01:43:41.931372Z digest=sha256:2e415bf6587931e7176e9d57e512e6384c6d9d3a85e7f3a0e6698e773036a80e

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

source=pdf_text observed=2026-05-14T01:48:26.441136Z digest=sha256:ef2cb90566e39d6f4a236119572c0e37e078af9162a0bab202a44ef93ce5c0d2

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

source=pdf_text observed=2026-06-28T20:11:15.453728Z digest=sha256:66e96627a58fc003700153d9b50837b6faa33416b460fe26c8514e41d4e546e7