Paper Citation Record · LEDGER

VC-dimension of generalized progressions in some nonabelian groups

As of 8 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2505.21789.

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

pith.paper-citation-record.v1
2505.21789 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:43:07.984380Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

34 of 34 outbound references displayed

verified exact1
verified fuzzy19
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 95b3cc61-e583-4cd7-89c3-b7a402c2dd62 · outbound

This paper cites an unresolved cited work.

VC-dimension of generalized progressions in some nonabelian groups Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:43:13.999363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 144446ea-127d-4ff9-a549-cfc3321c5d24 · outbound

This paper cites an unresolved cited work.

VC-dimension of generalized progressions in some nonabelian groups Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:43:13.683209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 97d59912-e227-4545-8ad2-3f28373b9271 · outbound

This paper cites an unresolved cited work.

VC-dimension of generalized progressions in some nonabelian groups Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:43:13.323329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fd1cd9c2-57cb-45b0-b68c-40d4856de2e8 · outbound

This paper cites Assouad, Densit´ e et dimension, Ann.

VC-dimension of generalized progressions in some nonabelian groups Assouad, Densit´ e et dimension, Ann

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T13:43:05.796566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b0a6c1b-75f5-44d3-b4d4-9f3e65cec187 · outbound

This paper cites Blumer, A.

VC-dimension of generalized progressions in some nonabelian groups Blumer, A

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:43:13.033723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8705d4a6-3de7-4e94-b9d9-eb15390518fb · outbound

This paper cites Breuillard, B.

VC-dimension of generalized progressions in some nonabelian groups Breuillard, B

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T13:43:05.880363Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 240e5b13-ff4b-49a7-8c6e-daa1dbc4e944 · outbound

This paper cites Chatzigeorgiou, Bounds on the Lambert function and their application to the outage analysis of user cooperation, IEEE Communications Letters 17 (2013), 1505–1508.

VC-dimension of generalized progressions in some nonabelian groups Chatzigeorgiou, Bounds on the Lambert function and their application to the outage analysis of user cooperation, IEEE Communications Letters 17 (2013), 1505–1508

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:43:12.719592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 91ebb0fb-3e1b-484a-830a-c214ad73868f · outbound

This paper cites Goldreich, S.

VC-dimension of generalized progressions in some nonabelian groups Goldreich, S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:43:12.443743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5c9199f5-70d0-4464-8e01-54c518691e69 · outbound

This paper cites Conant and A.

VC-dimension of generalized progressions in some nonabelian groups Conant and A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:43:12.250798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3c7a0f68-3047-4ac5-be00-1f1ec9901730 · outbound

This paper cites Conant, A.

VC-dimension of generalized progressions in some nonabelian groups Conant, A

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:43:12.050932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dbecbaa0-bef6-49e0-8b48-c08c3a25405c · outbound

This paper cites The Vapnik-Chervonenkis dimension of cubes in $\mathbb{R}^d$.

VC-dimension of generalized progressions in some nonabelian groups The Vapnik-Chervonenkis dimension of cubes in $\mathbb{R}^d$

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:43:08.268059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 487236e9-7369-433f-b57d-ff1e5acfae4a · outbound

This paper cites an unresolved cited work.

VC-dimension of generalized progressions in some nonabelian groups Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:43:11.854823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 79f09e73-0b24-4dd5-a303-aa00ae8c8a35 · outbound

This paper cites Duret, Les corps faiblement alg´ ebriquement clos non s´ eparablement clos ont la propri´ et´ e d’ind´ ependence, Model theory of algebra and arithmetic (Proc.

VC-dimension of generalized progressions in some nonabelian groups Duret, Les corps faiblement alg´ ebriquement clos non s´ eparablement clos ont la propri´ et´ e d’ind´ ependence, Model theory of algebra and arithmetic (Proc

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:43:11.732212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 852a9dbc-7296-42a3-8e80-707ba231df2b · outbound

This paper cites Gillibert, T.

VC-dimension of generalized progressions in some nonabelian groups Gillibert, T

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:43:11.596060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9a29f89f-94b8-40eb-a247-acdd02aaa46d · outbound

This paper cites On the Vapnik-Chervonenkis dimension of products of intervals in $\mathbb{R}^d$.

VC-dimension of generalized progressions in some nonabelian groups On the Vapnik-Chervonenkis dimension of products of intervals in $\mathbb{R}^d$

Reference 15

Resolution: metadata mismatch; local_arxiv, observed 2026-08-07T13:43:08.128756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 642a4720-e604-423c-8e27-f7bb7fec923f · outbound

This paper cites Gurevich and P.

VC-dimension of generalized progressions in some nonabelian groups Gurevich and P

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:43:11.402359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c9093533-db89-4466-9187-3e1c83ecd0ea · outbound

This paper cites Karpinski and A.

VC-dimension of generalized progressions in some nonabelian groups Karpinski and A

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:43:11.245813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 836ed0ef-4f33-40f7-9f21-552e8e26faa2 · outbound

This paper cites an unresolved cited work.

VC-dimension of generalized progressions in some nonabelian groups Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:43:11.077586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c8cbdf6b-448d-442a-873b-d6082dca5556 · outbound

This paper cites Lov´ asz and B.

VC-dimension of generalized progressions in some nonabelian groups Lov´ asz and B

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:43:10.880679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1a008cfd-9d95-4145-9419-6e8dd5b24b3c · outbound

This paper cites Marker, Model theory , Graduate Texts in Mathematics, vol.

VC-dimension of generalized progressions in some nonabelian groups Marker, Model theory , Graduate Texts in Mathematics, vol

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:43:10.661814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cc32b34e-d504-4974-a7a0-c92f45154f57 · outbound

This paper cites Matouˇ sek, E.

VC-dimension of generalized progressions in some nonabelian groups Matouˇ sek, E

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:43:10.462970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 40fa2713-64b8-470f-b8d5-7f953ecc6ce6 · outbound

This paper cites Meier, Groups, graphs and trees, London Mathematical Society Student Texts, vol.

VC-dimension of generalized progressions in some nonabelian groups Meier, Groups, graphs and trees, London Mathematical Society Student Texts, vol

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:43:10.263966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a36b31ed-4126-4270-83ef-daea18e83fba · outbound

This paper cites Milnor, On the Betti numbers of real varieties , Proc.

VC-dimension of generalized progressions in some nonabelian groups Milnor, On the Betti numbers of real varieties , Proc

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:43:10.123833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 95949adb-93a9-451c-b7d0-d6aa2659a0af · outbound

This paper cites Sela, Diophantine geometry over groups VIII: Stability , Ann.

VC-dimension of generalized progressions in some nonabelian groups Sela, Diophantine geometry over groups VIII: Stability , Ann

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:43:09.936829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2a19cf25-9d9d-44fa-811c-aaa49deca9c9 · outbound

This paper cites Shelah, Classification theory and the number of nonisomorphic models, second ed., Studies in Logic and the Foundations of Mathematics, vol.

VC-dimension of generalized progressions in some nonabelian groups Shelah, Classification theory and the number of nonisomorphic models, second ed., Studies in Logic and the Foundations of Mathematics, vol

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:43:09.797956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 413b690c-aeb2-4883-934f-d05c97c4fa80 · outbound

This paper cites Simon, A guide to NIP theories , Lecture Notes in Logic, vol.

VC-dimension of generalized progressions in some nonabelian groups Simon, A guide to NIP theories , Lecture Notes in Logic, vol

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:43:09.581138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a9df0435-1ec7-4c14-a44c-ea6a36c9664a · outbound

This paper cites Sisask, Convolutions of sets with bounded VC-dimension are uniformly continuous, Discrete Anal.

VC-dimension of generalized progressions in some nonabelian groups Sisask, Convolutions of sets with bounded VC-dimension are uniformly continuous, Discrete Anal

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T13:43:07.552194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b81cb85-2dcb-4000-b0b2-466e657e6b23 · outbound

This paper cites Tao, Product set estimates for non-commutative groups, Combinatorica 28 (2008), no.

VC-dimension of generalized progressions in some nonabelian groups Tao, Product set estimates for non-commutative groups, Combinatorica 28 (2008), no

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T13:43:07.594237Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 49211f44-4227-46c7-8eeb-31824c3d03f8 · outbound

This paper cites Tao, The free nilpotent group , What’s new (blog), December 21, 2009, https://terrytao.

VC-dimension of generalized progressions in some nonabelian groups Tao, The free nilpotent group , What’s new (blog), December 21, 2009, https://terrytao

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:43:09.366471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 12542e3f-4f5e-4cfe-86ed-8475d63023d3 · outbound

This paper cites an unresolved cited work.

VC-dimension of generalized progressions in some nonabelian groups Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:43:09.131480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 80312bb5-1809-4bf1-86d6-cebaf5d75a5c · outbound

This paper cites an unresolved cited work.

VC-dimension of generalized progressions in some nonabelian groups Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:43:08.946023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b9e907f7-4c9e-40c9-a3b0-901f9cacbe58 · outbound

This paper cites Vidyasagar, Learning and generalization, second ed., Communications and Control Engineering Series, Springer-Verlag London, Ltd., London, 2003, With applications to neural networks.

VC-dimension of generalized progressions in some nonabelian groups Vidyasagar, Learning and generalization, second ed., Communications and Control Engineering Series, Springer-Verlag London, Ltd., London, 2003, With applications to neural networks

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:43:08.716642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 63daca35-198f-4f8f-a0d7-f8e516c4ab27 · outbound

This paper cites an unresolved cited work.

VC-dimension of generalized progressions in some nonabelian groups Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:43:08.585937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6e07b4d7-5dea-4b70-a6b5-7817f23da209 · outbound

This paper cites an unresolved cited work.

VC-dimension of generalized progressions in some nonabelian groups Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:43:08.445665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.