Paper Citation Record · LEDGER

Residual Finiteness Growth in Two-Step Nilpotent Groups

As of 8 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2505.21090.

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

pith.paper-citation-record.v1
2505.21090 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:02:58.942324Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

25 of 25 outbound references displayed

verified exact2
verified fuzzy20
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 99d30162-2df2-4852-8469-141efdb811c2 · outbound

This paper cites Solving diophantine problems modulo every prime.Ann.

Residual Finiteness Growth in Two-Step Nilpotent Groups Solving diophantine problems modulo every prime.Ann

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:03:03.857030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 895733a1-dd7f-48f3-8e15-eebd9250174e · outbound

This paper cites Bou-Rabee and D.

Residual Finiteness Growth in Two-Step Nilpotent Groups Bou-Rabee and D

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:03:03.688523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation be5993d1-0a88-4146-8b5a-ca7bbb035676 · outbound

This paper cites Quantifying residual finiteness.J.

Residual Finiteness Growth in Two-Step Nilpotent Groups Quantifying residual finiteness.J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:03:03.532300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9acd2722-f62d-47cd-be8e-505516fb20b5 · outbound

This paper cites Residual finiteness growths of Lamplighter groups.

Residual Finiteness Growth in Two-Step Nilpotent Groups Residual finiteness growths of Lamplighter groups

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:02:59.245943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 357480f7-1456-432b-a0ef-c263394957a1 · outbound

This paper cites Hagen, and Priyam Patel.

Residual Finiteness Growth in Two-Step Nilpotent Groups Hagen, and Priyam Patel

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:03:03.382062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 08eedf0f-c360-400d-b24c-7db64722ddbe · outbound

This paper cites Quantifying residual finiteness of arithmetic groups.

Residual Finiteness Growth in Two-Step Nilpotent Groups Quantifying residual finiteness of arithmetic groups

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:03:03.200107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 212a39b4-57ee-4808-a1ea-4b2779a2b3a5 · outbound

This paper cites Short laws for finite groups and residual finiteness growth.

Residual Finiteness Growth in Two-Step Nilpotent Groups Short laws for finite groups and residual finiteness growth

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:03:03.031696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 436a2f84-6cb0-45e8-93e3-83222512fb42 · outbound

This paper cites On the quasi-isometric classification of locally compact groups.

Residual Finiteness Growth in Two-Step Nilpotent Groups On the quasi-isometric classification of locally compact groups

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:03:02.730344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 67e8a5f8-a71b-4d21-9f44-f2a2beff683b · outbound

This paper cites Corwin and Frederick P.

Residual Finiteness Growth in Two-Step Nilpotent Groups Corwin and Frederick P

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:03:02.474533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a73e3c80-4d6a-4b17-8d60-8081c69f0360 · outbound

This paper cites Existence of Anosov diffeomorphisms on infra-nilmanifolds modeled on free nilpotent Lie groups.Topol.

Residual Finiteness Growth in Two-Step Nilpotent Groups Existence of Anosov diffeomorphisms on infra-nilmanifolds modeled on free nilpotent Lie groups.Topol

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:03:02.241482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8dc99a14-2bca-4390-821e-23f872652234 · outbound

This paper cites Residual finiteness growth in virtually abelian groups.J.

Residual Finiteness Growth in Two-Step Nilpotent Groups Residual finiteness growth in virtually abelian groups.J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:03:01.985183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1939c10d-de95-4f3e-9c18-5aab7b21f009 · outbound

This paper cites Geometric methods in group theory: papers dedicated to Ruth Charney.

Residual Finiteness Growth in Two-Step Nilpotent Groups Geometric methods in group theory: papers dedicated to Ruth Charney

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:03:01.765416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a21ff1aa-d282-4d5f-a994-026483dc9d8e · outbound

This paper cites Quantifying residual finiteness of linear groups.J.

Residual Finiteness Growth in Two-Step Nilpotent Groups Quantifying residual finiteness of linear groups.J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:03:01.537275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d46da9e2-5626-4f2c-8f21-30653de3804d · outbound

This paper cites an unresolved cited work.

Residual Finiteness Growth in Two-Step Nilpotent Groups Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:03:01.396683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f6610420-7ae2-4a14-8faf-087df74f039c · outbound

This paper cites Grunewald, Daniel Segal, and Leon S.

Residual Finiteness Growth in Two-Step Nilpotent Groups Grunewald, Daniel Segal, and Leon S

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:03:01.131814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ee2585cb-3293-4252-9b8d-b9d8324b8a1b · outbound

This paper cites Families of skew-symmetric matrices.

Residual Finiteness Growth in Two-Step Nilpotent Groups Families of skew-symmetric matrices

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:03:00.902223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 19da0e5a-fa8e-4be7-a327-7f224be73d03 · outbound

This paper cites American Mathematical Society, Providence, RI, 2019.

Residual Finiteness Growth in Two-Step Nilpotent Groups American Mathematical Society, Providence, RI, 2019

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:03:00.699998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 09b722ce-c788-4efc-812d-de9b0fb39869 · outbound

This paper cites Classes of2-step nilpotent Lie algebras.Comm.

Residual Finiteness Growth in Two-Step Nilpotent Groups Classes of2-step nilpotent Lie algebras.Comm

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:03:00.563498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9b9b99ee-3cdb-4a77-8575-3a6927019ca3 · outbound

This paper cites an unresolved cited work.

Residual Finiteness Growth in Two-Step Nilpotent Groups Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:03:00.394372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9f2f7277-1b57-4984-9be3-b482dc06e2e6 · outbound

This paper cites Effective separability of finitely generated nilpotent groups.

Residual Finiteness Growth in Two-Step Nilpotent Groups Effective separability of finitely generated nilpotent groups

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:03:00.159697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 07eee66b-04ac-42a1-bd93-90ca8ed00344 · outbound

This paper cites Polycyclic groups, volume 82 ofCambridge Tracts in Mathematics.

Residual Finiteness Growth in Two-Step Nilpotent Groups Polycyclic groups, volume 82 ofCambridge Tracts in Mathematics

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:02:59.956611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ffcd8782-7974-4a9a-a9a5-9b2545b06b8a · outbound

This paper cites Lectures on NX (p), volume 11 ofChapman & Hall/CRC Research Notes in Mathematics.

Residual Finiteness Growth in Two-Step Nilpotent Groups Lectures on NX (p), volume 11 ofChapman & Hall/CRC Research Notes in Mathematics

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:02:59.743275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 98919574-4efd-4deb-90f1-9a00c5d169d2 · outbound

This paper cites Residually finite non linear hyperbolic groups.

Residual Finiteness Growth in Two-Step Nilpotent Groups Residually finite non linear hyperbolic groups

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:02:59.096705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 284e7622-8090-4f55-8ff8-3e678b34f9d1 · outbound

This paper cites A remark on Ax’s theorem on solvability modulo primes.

Residual Finiteness Growth in Two-Step Nilpotent Groups A remark on Ax’s theorem on solvability modulo primes

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:02:59.572546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6400d785-1de5-48ec-903c-39e4e7e9cf39 · outbound

This paper cites an unresolved cited work.

Residual Finiteness Growth in Two-Step Nilpotent Groups Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:02:59.442491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.