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Paper Citation Record · LEDGER

A remark on dimensionality reduction in discrete subgroups

As of 21 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2501.01396.

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

pith.paper-citation-record.v1
2501.01396 v3

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:35:09.500833Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

10 of 10 outbound references displayed

  • verified exact1
  • verified fuzzy7
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 05c12a75-3cf4-4c13-838c-039157843e9a · outbound

This paper cites Achlioptas, Database-friendly random projections, Proc.

A remark on dimensionality reduction in discrete subgroups Achlioptas, Database-friendly random projections, Proc

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:09.628181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T22:35:09.469301Z digest=sha256:b210bc454d75dbc0f3e7a7561a9cf90db5e39d31df5a03d03050dc925b44ad8a

Observation f866d69d-fa1b-4741-8a12-72170e08566d · outbound

This paper cites Approximate embedding of large polygons into $Z^2$.

A remark on dimensionality reduction in discrete subgroups Approximate embedding of large polygons into $Z^2$

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-10T22:35:09.545995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T22:35:09.473485Z digest=sha256:b947074e47d4a0c0f721aeea688d41849a034fb69a8d2e6885e4bee0b45ae63f

Observation c9b2b1c0-a8c7-41ec-be19-997cee28b640 · outbound

This paper cites Gromov, Metric structures for Riemannian and non-Riemannian spaces.

A remark on dimensionality reduction in discrete subgroups Gromov, Metric structures for Riemannian and non-Riemannian spaces

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:09.619186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T22:35:09.476879Z digest=sha256:568a4ee9afa5871d589026a10e02bed6b4913a7e9fd82c764b84bda70bd50e02

Observation 09c8f080-560e-46c8-b4e6-eac90ffcaefe · outbound

This paper cites An Introduction to Johnson-Lindenstrauss Transforms.

A remark on dimensionality reduction in discrete subgroups An Introduction to Johnson-Lindenstrauss Transforms

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-10T22:35:09.480007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:09.480007Z digest=sha256:0b421e4a657594ec480b00de19e55fb24c1ee012b11adbb21ee3a9cac73b3467

Observation b800cdcc-d1bf-4aeb-a60d-645c845544c8 · outbound

This paper cites Johnson and J.

A remark on dimensionality reduction in discrete subgroups Johnson and J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:09.609677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T22:35:09.485159Z digest=sha256:b7d34b52a346e6637f401c0fa819165b529b5407e0a8516d5c7e04de0b2f49cf

Observation d309bf8b-3902-4100-ad61-05578b534c97 · outbound

This paper cites Kłopotek, Machine learning friendly set version of Johnson–Lindenstrauss lemma, Knowledge and Information Systems, 62(5) : 1961-2009, 2020.

A remark on dimensionality reduction in discrete subgroups Kłopotek, Machine learning friendly set version of Johnson–Lindenstrauss lemma, Knowledge and Information Systems, 62(5) : 1961-2009, 2020

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:09.598364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T22:35:09.488514Z digest=sha256:11ea253077a32aa212b51ea29fe176f4175b6c54c6122b2c00049bbbd2154b66

Observation f4e6f06b-34e0-451d-bc57-253822d47fbd · outbound

This paper cites Kuipers and H.

A remark on dimensionality reduction in discrete subgroups Kuipers and H

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:09.587235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T22:35:09.491898Z digest=sha256:b974da2c30f08137e664cf977460e4fa05de635256cdcb9e2236c247bbee2981

Observation dabf4500-5a75-4840-a56e-b8c8098ae322 · outbound

This paper cites Matou s ek, On variants of the Johnson–Lindenstrauss lemma, Random Struct.

A remark on dimensionality reduction in discrete subgroups Matou s ek, On variants of the Johnson–Lindenstrauss lemma, Random Struct

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:09.576842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T22:35:09.494920Z digest=sha256:f018a871d272fce9f08dc9871c317a1ca72f7ac8956b7e85e5b84dc9837ff9d9

Observation db4a870e-8483-4909-b4ce-8946c09c2864 · outbound

This paper cites an unresolved cited work.

A remark on dimensionality reduction in discrete subgroups Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:35:09.566202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T22:35:09.497896Z digest=sha256:f51522e6260a2882a24a0418ee64f7998b11758db7eee18012226659d0362921

Observation 1d6122ef-b4b4-4b93-9e03-7d743827694c · outbound

This paper cites Ziegler, Nilfactors of ^m -actions and configurations in sets of positive upper density in ^m , J.

A remark on dimensionality reduction in discrete subgroups Ziegler, Nilfactors of ^m -actions and configurations in sets of positive upper density in ^m , J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:35:09.556583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T22:35:09.500833Z digest=sha256:fca137d66d51904035f111498308e99def4a88ade805b524d9f46740b421102c

Pith citing papers

No inbound Pith citation observations are available.