Paper Citation Record · LEDGER

The VC-dimension of random subsets of finite groups

As of 12 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2506.14219.

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

pith.paper-citation-record.v1
2506.14219 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:29:15.741070Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

30 of 30 outbound references displayed

verified exact0
verified fuzzy22
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c8bb217d-a6bb-4dca-a46a-4de61e7b09ec · outbound

This paper cites The chromatic number of random Cayley graphs.

The VC-dimension of random subsets of finite groups The chromatic number of random Cayley graphs

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:22.419593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a9786bee-04ba-40c1-8a71-87a7a56d245e · outbound

This paper cites Efficient arithmetic regularity and removal lemmas for induced bipartite patterns.

The VC-dimension of random subsets of finite groups Efficient arithmetic regularity and removal lemmas for induced bipartite patterns

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:22.173174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7c8745dd-9b5e-4e9f-9fde-5bee1ee91587 · outbound

This paper cites Random Cayley graphs and expanders.

The VC-dimension of random subsets of finite groups Random Cayley graphs and expanders

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:21.984646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 137718c7-9cce-40bb-85e5-486dae9bc35e · outbound

This paper cites The Vapnik- Chervonenkis dimension of a random graph.

The VC-dimension of random subsets of finite groups The Vapnik- Chervonenkis dimension of a random graph

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:21.787108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d72267af-73a0-4173-b108-1a6d7095b7b5 · outbound

This paper cites On covering by translates of a set.

The VC-dimension of random subsets of finite groups On covering by translates of a set

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:21.606134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a91d2f55-a328-41c4-bf40-92d919b2d609 · outbound

This paper cites an unresolved cited work.

The VC-dimension of random subsets of finite groups Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:29:21.410226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e05be2bc-fcd5-4a2f-a534-206b4c38cb35 · outbound

This paper cites Conant, A.

The VC-dimension of random subsets of finite groups Conant, A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:21.197536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 09bc5f08-3bd4-44d8-87bd-678d7311a022 · outbound

This paper cites Approximate subgroups with bounded VC- dimension.

The VC-dimension of random subsets of finite groups Approximate subgroups with bounded VC- dimension

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:21.025110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c1bd0312-eedf-41a5-a309-5ab997182fab · outbound

This paper cites On the clique number of random Cayley graphs and related topics.

The VC-dimension of random subsets of finite groups On the clique number of random Cayley graphs and related topics

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T00:29:12.996737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c511012-19d4-4ac1-a28a-b4d743fcf858 · outbound

This paper cites Erd˝ os and A.

The VC-dimension of random subsets of finite groups Erd˝ os and A

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:20.848421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8c1237f0-78fd-4eaa-8c09-523b17f68cea · outbound

This paper cites A semi-algebraic version of Zarankiewicz’s problem.

The VC-dimension of random subsets of finite groups A semi-algebraic version of Zarankiewicz’s problem

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:20.650986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 86944983-9f81-4e3e-a79a-8728cb3e171d · outbound

This paper cites Erd˝ os-Hajnal conjecture for graphs with bounded VC-dimension.

The VC-dimension of random subsets of finite groups Erd˝ os-Hajnal conjecture for graphs with bounded VC-dimension

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:20.421516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a006296f-4cc3-4c97-8448-df4687470e5c · outbound

This paper cites Bounded VC-dimension implies the Schur-Erd˝ os conjecture.Combinatorica, 41(6):803–813, 2021.

The VC-dimension of random subsets of finite groups Bounded VC-dimension implies the Schur-Erd˝ os conjecture.Combinatorica, 41(6):803–813, 2021

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:20.226324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0c52269d-42a6-4264-8f7f-b477217d539a · outbound

This paper cites Counting sets with small sumset, and the clique number of random Cayley graphs.

The VC-dimension of random subsets of finite groups Counting sets with small sumset, and the clique number of random Cayley graphs

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:19.992342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 470a6a3d-6cc6-4159-9a06-3bf42def1f77 · outbound

This paper cites Counting sets with small sumset and applications.

The VC-dimension of random subsets of finite groups Counting sets with small sumset and applications

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:19.725866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c0088078-5203-47c8-8b3b-61efc912f19b · outbound

This paper cites Improved inci- dence bounds over arbitrary finite fields via the VC-dimension theory.

The VC-dimension of random subsets of finite groups Improved inci- dence bounds over arbitrary finite fields via the VC-dimension theory

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:19.469585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1b48c5bc-fada-4323-8324-cbe5968991c6 · outbound

This paper cites an unresolved cited work.

The VC-dimension of random subsets of finite groups Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:29:19.209793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c8c63c2c-4e43-49a1-a0cb-fc9b8977b91f · outbound

This paper cites an unresolved cited work.

The VC-dimension of random subsets of finite groups Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:29:18.949439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 98a74c9b-71c2-47a6-a772-f1fc1e4fe4da · outbound

This paper cites an unresolved cited work.

The VC-dimension of random subsets of finite groups Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:29:18.690183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 59508d57-c12a-4ce7-bd5f-11e5b0e6c27f · outbound

This paper cites an unresolved cited work.

The VC-dimension of random subsets of finite groups Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:29:18.395163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 853045e1-bc23-40bd-93d4-f87a3c6122d6 · outbound

This paper cites Extractors in Paley graphs: a random model.

The VC-dimension of random subsets of finite groups Extractors in Paley graphs: a random model

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:18.149959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation df78ea4b-a5a3-4c81-b151-ca85602d6da3 · outbound

This paper cites The generalised coupon collector problem.

The VC-dimension of random subsets of finite groups The generalised coupon collector problem

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:17.884676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4a70635d-55da-4d23-9f48-1fdcbed113ef · outbound

This paper cites VC- dimension and pseudo-random graphs.

The VC-dimension of random subsets of finite groups VC- dimension and pseudo-random graphs

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:17.598461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 24f22f63-777a-40cf-a97b-bd453100b835 · outbound

This paper cites Understanding machine learning: From theory to algorithms.

The VC-dimension of random subsets of finite groups Understanding machine learning: From theory to algorithms

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:17.324059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 060252c0-638e-4320-8c0f-0c4140fd77fb · outbound

This paper cites Convolutions of sets with bounded VC-dimension are uniformly continuous.

The VC-dimension of random subsets of finite groups Convolutions of sets with bounded VC-dimension are uniformly continuous

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:17.037444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c04dba20-4158-47e9-ac06-3280bf42cebf · outbound

This paper cites Terry and J.

The VC-dimension of random subsets of finite groups Terry and J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:16.819840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ade5e0f6-987b-4a75-be7b-c4aec0dae924 · outbound

This paper cites Higher-order generalizations of stability and arithmetic regularity.

The VC-dimension of random subsets of finite groups Higher-order generalizations of stability and arithmetic regularity

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T00:29:15.360267Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf883a7f-2070-42f5-8b91-21bb217dc4ea · outbound

This paper cites an unresolved cited work.

The VC-dimension of random subsets of finite groups Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:29:16.559608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a4f09fd2-e9c1-427c-8d5f-1da94c89c284 · outbound

This paper cites High-dimensional probability, volume 47 of Cambridge Se- ries in Statistical and Probabilistic Mathematics.

The VC-dimension of random subsets of finite groups High-dimensional probability, volume 47 of Cambridge Se- ries in Statistical and Probabilistic Mathematics

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:16.321263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7b01f97b-4859-4326-a655-7670c9a311b2 · outbound

This paper cites VC-dimensions of random function classes.

The VC-dimension of random subsets of finite groups VC-dimensions of random function classes

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:29:16.038037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.