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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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T16:47:46.258436Z digest=sha256:7a999fbeb19551c21c26380ebd1aae45f1d828caa87198a32012234373ad6ff1

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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T16:47:46.398015Z digest=sha256:e51383db8bf639b6c10df297f4bf522cdfc3b9ac7da2baae9d64c178ebf0d5a1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T16:47:46.569481Z digest=sha256:6a2b88a0a39e20518a53f568c4f96ca41e50023d1b6c6e7d63c6e47e8ea023ff

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T16:47:46.630412Z digest=sha256:c654dd290e604108febe4aa0deb02709c0a5054fdc550c752fc2f8b7481433d4

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T16:47:46.692156Z digest=sha256:8b838e9e5ba59b30ab741d6151f60356fac83862fed7beaa9b95117b7d5b127e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T16:47:46.783558Z digest=sha256:96ee048d51d5574cbe056c69d30ac3a266f3c5e89933f3d09bbdbf0a99a1c5c3

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 2026-08-16T06:30:59.297886+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
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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T16:47:47.137488Z digest=sha256:ce8ddd503e6cd8542c44e1424c554bb3598e5f70736fc87ab2f5ca5dde993fe5

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T16:47:47.223399Z digest=sha256:14cdddfb8982708fcae28821a2a4bbbccedc4ea8866c31ddd1ff8a1d08071b12

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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T16:47:47.407600Z digest=sha256:c35b153a4b6b8c9e7e2c6b0b8220fe3e0a7b25e7196dfc9df99712a3db340678

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T16:47:47.511120Z digest=sha256:9e4c054fb0b4322e0927ff1ba0efff530a46eca10f1f0cf7b2a45ab1e0128c0a

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 2026-08-16T06:30:59.297886+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
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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T16:47:47.653396Z digest=sha256:2583f2748700001fadf6bdb635e9bf30a71cf07f76c44b4df640642a30411ccb

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T16:47:47.737569Z digest=sha256:0bbde3848b0b0e54632e24e45b5ccb5dad5c7ccdea3c3adf21e78188a229a8bc

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T16:47:47.820431Z digest=sha256:9d4d282ba7b057352f5d6352ab4ef9bdaa369456d2270dc5321e07d61cb35a98

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T16:47:47.899084Z digest=sha256:7d4f110ecd4109dc2763b0d35317ec47ff1d1f5840c9fea51e7ba90c2d281af8

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T16:47:47.972710Z digest=sha256:f43d589b1d99b904504cffd99c07e8762263c34261321c4aa25c2829a672493c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T16:47:48.033892Z digest=sha256:00049f7a916ca5039a8a121a51a4354bc893b2197eb9107acff2f0e1be5071f8

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T16:47:48.099038Z digest=sha256:3573090099f51947194c9e2e9187ce3fe01b49835d6370181d26e9b217228b80

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T16:47:48.155537Z digest=sha256:0b7df292466f44647dd0bcecc38f4899ad868bf5670a110ccbac52c125161a9f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T16:47:48.204910Z digest=sha256:0298dc1df3c13e9090a861e3e3eb35e601c29c515ebc973e273ab7419cb5d507

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T16:47:48.247177Z digest=sha256:63dbcc6352b420ee76cc9b81140d2bcbb7393038c325116e25283e6b033c2d79

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T16:47:48.314889Z digest=sha256:d010bb4e1e83e034c4481d485034ff26ffc2f00442787f2b71b487c42cf44ccb

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T16:47:48.381976Z digest=sha256:5749a076ed0543a992a0ddc23e31cc6f261ba4cce58ce907b52fda0c3acb7c28

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T16:47:48.450363Z digest=sha256:95e747c49f7ff58e999be983bc525a88afedabd15de994731e7f6bd8208cb916

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T16:47:48.521002Z digest=sha256:6bbb9a96e83f1f39def4f74c27c43b3b63c7f83784df20a76960c8ebe4f15deb

Pith citing papers

No inbound Pith citation observations are available.