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Paper Citation Record · LEDGER

On finite extensions of lamplighter groups

As of 17 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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:46.258436Z digest=sha256:59421a72bf8bd9566f75e638dd96ff510c2c41e8f23ba6ca7db789c5bbd1c0a0

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:46.336837Z digest=sha256:5eaacd159b4ca0448b4da644da6c0e3ef25bea60824d88f3cd1c507065757567

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:46.398015Z digest=sha256:842d914693c866f50c5c6ccf93a8f2a8c9a21794634aa8be95f528ccf077d748

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:cc0fe0d5d193f367e2c3de5c606080fc5448ef05c550ca5a23db0d68c841d6d0

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:46.569481Z digest=sha256:4e84138863a9ad969a9de0407dfdc46e1083f4e5b956022b6f5614e1b1e5cbf5

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:46.630412Z digest=sha256:19ac0d44868004eba71a5096fc717ea11e4e36d1d7a81fa0fe04f5068cd27d73

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:46.692156Z digest=sha256:e82f2a38783ca0480ec47f5dc06384b33aa7a3798413b751363b7b159c51bc22

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:46.783558Z digest=sha256:20e5fde8cbaea4a99f066568365b3fb0c3b952e1ee7cbb8176f944a442db369b

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:46.886953Z digest=sha256:8edf87f1e4e293ee6a32a760ea3f45535bc4c6cb5d10cf8655606c1c275243f6

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
raw_fallback, observed 2026-08-06T16:47:52.526159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:47.137488Z digest=sha256:7874196b50d761be7eaf88eac8318bf732976c107d041e8d9f4c65b6688b35d9

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
raw_fallback, observed 2026-08-06T16:47:52.124583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:47.223399Z digest=sha256:b56eae629ec83eaeea72dffecb98273f084c4e2b64c2a77de96fe63dd6f7ab42

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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:47.511120Z digest=sha256:7928b0df0f7d1df4f9775a02270204fbcbb72a2ad4708b33c02adf8dbafbc95a

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:47.571626Z digest=sha256:394a11b9442aa973579662dba752b9a79d6c2945ebe6f3c2b96f878b1896fda9

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
verified fuzzy
raw_fallback, observed 2026-08-06T16:47:50.869092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:47.653396Z digest=sha256:19010993ed27d0e17ef1a22789d4df0754c6dc981a6e13dafc9968cda8da9dc2

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:47.737569Z digest=sha256:e16bfebbc652fe8ab1ba1513be6297a920e8ff767317f17fe2118bc0c008408e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:47.820431Z digest=sha256:10f09be5552b7ab68075efb1960abb7f7f351f522d60f17f5beb921b948c7f54

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:47.899084Z digest=sha256:7217c4fefbf86cf810e663c58ade3b56c2c5626d28774fa9a4a1845d93e9fb6d

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:47.972710Z digest=sha256:cff773c263205d7c00a478b2d125ab088db40bf6f3812ae156bca20896a9adbc

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:48.033892Z digest=sha256:97d64f9e7b83eb0c0ab23a3048cce24b222aa7c4f93483b6135a6bebc090e24f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:48.099038Z digest=sha256:97da901cc55844dfd31b0b2442cde9a4f28f43fcc1c0bd9b4f7cb983b7489f4f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:48.155537Z digest=sha256:fb50a990427520ea368a8d51443b1183dbfe94cae8b2a5f7715f770274491e3a

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:48.204910Z digest=sha256:b920cf2f29b356d169a599a5d7048bb0d383b0872a644718f10663de2540d5c1

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:48.247177Z digest=sha256:55770b3ef354bfd079f329379d131ab1276974eb81fbd2f33f7173086952183e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:48.314889Z digest=sha256:6af12adccf5f50fd0572cfd0142706f68177f13ffa66c9f910db316ff7209d5f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:48.381976Z digest=sha256:6b065fbcef76eb152223c73c02d5e3662f7689164462bfdce25409a678354edf

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:48.450363Z digest=sha256:5d77e9daa2ee500bdb71d9f2e3abfe19048e093c401cf20f4d0612290e4db2ee

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T16:47:48.521002Z digest=sha256:af83e149de1633f7a543e8162161df35474a132ffb99f37857976082a0798257

Pith citing papers

No inbound Pith citation observations are available.