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Paper Citation Record · LEDGER

On finite extensions of lamplighter groups

As of 11 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2507.13203.

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

pith.paper-citation-record.v1
2507.13203 v2

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:47:48.521002Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

32 of 32 outbound references displayed

  • verified exact1
  • verified fuzzy29
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5caf30eb-ab93-4238-b414-752a20e3a1d7 · outbound

This paper cites Finite generating sets of relatively hy- perbolic groups and applications to geodesic languages.

On finite extensions of lamplighter groups Finite generating sets of relatively hy- perbolic groups and applications to geodesic languages

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:54.040451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation b1fd2e1c-e8a5-4549-b031-afe8ec3f824e · outbound

This paper cites Orbit decidability and the conjugacy problem for some extensions of groups.

On finite extensions of lamplighter groups Orbit decidability and the conjugacy problem for some extensions of groups

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:53.868049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 9e922956-5b79-4e1c-9a05-19f34279a887 · outbound

This paper cites an unresolved cited work.

On finite extensions of lamplighter groups Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:47:53.713786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 89ea06bc-1023-4474-b692-dfff94e65168 · outbound

This paper cites The combinatorial structure of cocompact discrete hy- perbolic groups.

On finite extensions of lamplighter groups The combinatorial structure of cocompact discrete hy- perbolic groups

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:53.507506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T16:47:46.398015Z digest=sha256:502ce29d5d333b8a46c5e9344791bcc5db24a239a6ad83d8f49856bfdc3aa593

Observation 0e58e526-adeb-420f-a2ed-638911335af2 · outbound

This paper cites Conditional Non-Soficity of p-adic Deligne Extensions: on a Theorem of Gohla and Thom.

On finite extensions of lamplighter groups Conditional Non-Soficity of p-adic Deligne Extensions: on a Theorem of Gohla and Thom

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-06T16:47:46.489284Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:47:46.489284Z digest=sha256:643acbc56db82f406fd2d7b37005993659983391de02f22e2d5f8a6e034bc830

Observation 98ece8d2-8690-4f0c-8eeb-84c678fff283 · outbound

This paper cites Turbo” Ho, and Mark Pengitore. “Rational growth in torus bundle groups of odd trace.

On finite extensions of lamplighter groups Turbo” Ho, and Mark Pengitore. “Rational growth in torus bundle groups of odd trace

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:53.380107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 81cb13b7-48df-4646-beaf-5011db2eb768 · outbound

This paper cites Conjugacy geodesics and growth in dihedral Artin groups.

On finite extensions of lamplighter groups Conjugacy geodesics and growth in dihedral Artin groups

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:53.182001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 3751d52a-f500-45af-9c80-3f1858912c2a · outbound

This paper cites Conjugacy growth series and lan- guages in groups.

On finite extensions of lamplighter groups Conjugacy growth series and lan- guages in groups

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:52.997600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation e46e1b1f-9f3a-4a66-8e50-b30236b016fe · outbound

This paper cites Conjugacy languages in groups.

On finite extensions of lamplighter groups Conjugacy languages in groups

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:52.860242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 206f8e78-86a9-4a54-93a6-27c15c885800 · outbound

This paper cites The degree of commutativity and lamplighter groups.

On finite extensions of lamplighter groups The degree of commutativity and lamplighter groups

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:52.736763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 99018f29-40d7-4c89-9d45-3b0e8cd34c14 · outbound

This paper cites Conjugacy languages in virtual graph products.

On finite extensions of lamplighter groups Conjugacy languages in virtual graph products

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 1a69fde5-bde6-4b22-adbc-9639e06fd83e · outbound

This paper cites Subgroup distortion in wreath products of cyclic groups.

On finite extensions of lamplighter groups Subgroup distortion in wreath products of cyclic groups

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:52.344009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T16:47:47.137488Z digest=sha256:ecac9f99a553c9a527712c5dff43e82ed49b6a7be7216364992b72b961f5da41

Observation 3c17c1f7-eef4-4d36-8016-4e7cebd1bb08 · outbound

This paper cites Submonoid Membership in n-dimensional lamplighter groups and S-unit equations.

On finite extensions of lamplighter groups Submonoid Membership in n-dimensional lamplighter groups and S-unit equations

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 4d13afae-ffde-4020-b243-d8600e0d52d2 · outbound

This paper cites The Heisenberg group is pan-rational.

On finite extensions of lamplighter groups The Heisenberg group is pan-rational

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 0709a873-e9d9-473b-9dcb-5317e9549179 · outbound

This paper cites Not residually finite groups of intermediate growth, com- mensurability and non-geometricity.

On finite extensions of lamplighter groups Not residually finite groups of intermediate growth, com- mensurability and non-geometricity

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:51.748333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 3936ecf4-53a3-4236-b1ad-67522b82fdbe · outbound

This paper cites No quasi-isometric rigid- ity for proper actions on CAT(0) cube complexes.

On finite extensions of lamplighter groups No quasi-isometric rigid- ity for proper actions on CAT(0) cube complexes

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:51.537968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation ba7c8830-c31d-4ce3-8c15-353120cd2446 · outbound

This paper cites Knap- sack Problems for Wreath Products.

On finite extensions of lamplighter groups Knap- sack Problems for Wreath Products

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:51.343694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T16:47:47.511120Z digest=sha256:5ddcc572f9fef74af3654d04b8a3768384aba28ccc7ea235e4fca745bafee8b4

Observation 59dd296a-cd6f-4347-8a88-6f6c1dda39ad · outbound

This paper cites Infinitely many finitely generated groups having the same Cayley graph.

On finite extensions of lamplighter groups Infinitely many finitely generated groups having the same Cayley graph

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:51.073129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation b339ebcf-6280-4a1f-bb9c-0f7104dd7857 · outbound

This paper cites Gray and Carl-Fredrik Nyberg-Brodda.

On finite extensions of lamplighter groups Gray and Carl-Fredrik Nyberg-Brodda

Reference 19

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T16:47:47.653396Z digest=sha256:06a40e25e692dd8f1d7725085eb8df5af0e2ddcbae03eb830cac209a957f703a

Observation 850281a7-43ed-4118-af05-43eb45a00b20 · outbound

This paper cites On problems related to growth, entropy, and spectrum in group theory.

On finite extensions of lamplighter groups On problems related to growth, entropy, and spectrum in group theory

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:50.658902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 00eeee15-46a5-4884-955a-4111bfaa00e7 · outbound

This paper cites Residual Properties of Infinite Soluble Groups.

On finite extensions of lamplighter groups Residual Properties of Infinite Soluble Groups

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:50.477040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation b40b21d8-0654-4be6-9a29-51e4cefceb5c · outbound

This paper cites Finiteness Conditions for Soluble Groups.

On finite extensions of lamplighter groups Finiteness Conditions for Soluble Groups

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:50.295543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 46c6d0d4-9eb2-4fbb-bf3c-fc26cf9da96d · outbound

This paper cites Rational growth of wreath products.

On finite extensions of lamplighter groups Rational growth of wreath products

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:50.119451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T16:47:47.972710Z digest=sha256:7cfa5a9082015ce930ccf4a199fa8afe3aeeb7fc1ecce7ef0e2ea11c3f71d5bd

Observation 6ec1df79-1aa8-4d55-87fc-a9fba9b900e9 · outbound

This paper cites Knapsack and sub- set sum problems in nilpotent, polycyclic, and co-context-free groups.

On finite extensions of lamplighter groups Knapsack and sub- set sum problems in nilpotent, polycyclic, and co-context-free groups

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:49.890788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T16:47:48.033892Z digest=sha256:67f39f09fbd52a77d2375d43179609499e809d3f1a0cf9aec4496b302f9742e3

Observation 16ebb5bc-e815-4dfa-b3eb-f4dcd5263c53 · outbound

This paper cites Rational subsets and submonoids of wreath products.

On finite extensions of lamplighter groups Rational subsets and submonoids of wreath products

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:49.724961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation ffe1cb8d-6a02-4a54-8206-b4c6340bf2e7 · outbound

This paper cites The Conjugacy Problem in Wreath Products and Free Metabelian Groups.

On finite extensions of lamplighter groups The Conjugacy Problem in Wreath Products and Free Metabelian Groups

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:49.504783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T16:47:48.155537Z digest=sha256:dd64fd62e6b3b6582b694f5623220648bfbe6a0f266d996482d45444b4bab812

Observation f67b9a7e-c728-44d7-a58a-a41dcc1982e3 · outbound

This paper cites Conjugacy growth series of some wreath products.

On finite extensions of lamplighter groups Conjugacy growth series of some wreath products

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-08-06T16:47:48.629035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T16:47:48.204910Z digest=sha256:aede3b44850aeaff76bf9f39b353718833337e5e6a6fb567b974c7100aaaa874

Observation 0d5a9be2-d5e5-47ca-b681-8d519cb8008e · outbound

This paper cites The entrance problem for direct unions of groups.

On finite extensions of lamplighter groups The entrance problem for direct unions of groups

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:49.315261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T16:47:48.247177Z digest=sha256:29991871fbe3dcb7d726b9af98051a6dbfe8b235f153b1c3b55f7cf295ea516e

Observation 62a1dee0-a85d-40f4-af44-7e49470c98f7 · outbound

This paper cites The rationality of Sol-manifolds.

On finite extensions of lamplighter groups The rationality of Sol-manifolds

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:49.128090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T16:47:48.314889Z digest=sha256:6bfb1639b13e0772e3cdfb7e4990baf275f3f4187afe7cd4733b95dcc81d8fc2

Observation 6df4b1f0-01d1-4ab0-b4b4-5fd012e5b89d · outbound

This paper cites Some algorithmic problems for solvable groups.

On finite extensions of lamplighter groups Some algorithmic problems for solvable groups

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:49.015393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T16:47:48.381976Z digest=sha256:cee1135e4e52db8eda221b1da7a50ef1e99df618072698067ef88902943c73de

Observation c90cffb9-8fa6-451a-9993-4874cb746a84 · outbound

This paper cites Geometry of the conjugacy problem in lamplighter groups.

On finite extensions of lamplighter groups Geometry of the conjugacy problem in lamplighter groups

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:48.888483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T16:47:48.450363Z digest=sha256:73e1f79c71559d70ef5612ee599103f88516f3ae8c55b5002f9b31c40875e146

Observation a725af8a-62ea-45ad-9183-5fa14cc9e693 · outbound

This paper cites Rational and transcendental growth series for the higher Heisenberg groups.

On finite extensions of lamplighter groups Rational and transcendental growth series for the higher Heisenberg groups

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:48.733882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T16:47:48.521002Z digest=sha256:fd129b144e19a9106568dce2fceaf29fb9e99008553e6642caf9c280051bcb13

Pith citing papers

No inbound Pith citation observations are available.