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Paper Citation Record · LEDGER

Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups

As of 8 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2507.17598.

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

pith.paper-citation-record.v1
2507.17598 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:01:54.832963Z

measured 21 of 21 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T10:05:23.375477Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

  • verified exact0
  • verified fuzzy19
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 80b834e2-9385-4456-adf0-efa923c784af · outbound

This paper cites Alibegovic,Translation Lengths inOut(F n), Geom.

Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups Alibegovic,Translation Lengths inOut(F n), Geom

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:55.129021Z

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.

source=pdf_text observed=2026-08-06T15:01:54.755285Z digest=sha256:9bb212ec34482f26d1820771ec6ed9993537eae50f7fbb784647b8de612ab1c9

Observation 3cc1a5cd-b2de-476e-834a-2521c62eedbe · outbound

This paper cites Baumslag, M.R.

Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups Baumslag, M.R

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:55.116307Z

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.

source=pdf_text observed=2026-08-06T15:01:54.759974Z digest=sha256:f19bcd74c2b541cd17fc35677f40df894230e44bae49f445090e4357f324e477

Observation dc128266-a603-4779-ac28-968ad2b7a347 · outbound

This paper cites Birget, A.

Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups Birget, A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:55.102646Z

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.

source=pdf_text observed=2026-08-06T15:01:54.764833Z digest=sha256:fd466682620ba0591cce8890ea9ed6259afe43e7f61af890179eaf23737f6afa

Observation eb6b7ba9-860b-47bf-bfea-80b8896923e3 · outbound

This paper cites Brady and M.R.

Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups Brady and M.R

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:55.089312Z

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.

source=pdf_text observed=2026-08-06T15:01:54.769016Z digest=sha256:bc9f3d8f6d565453a707ab90996e54178854063a2e27dc6b1fad7e71b54cbdbb

Observation 50f4d71d-001c-425b-a3da-2a8e2aec6d18 · outbound

This paper cites The geometry of the word problem for finitely generated groups.

Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups The geometry of the word problem for finitely generated groups

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:55.076192Z

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.

source=pdf_text observed=2026-08-06T15:01:54.772949Z digest=sha256:80c848fdad7f6b11df405f15eded7494605ebe7a877011b5efa6c33e3f21c439

Observation c8906eb0-d529-463a-9a94-4d6fb2086c61 · outbound

This paper cites Invitations to geometry and topology.

Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups Invitations to geometry and topology

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:55.063226Z

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.

source=pdf_text observed=2026-08-06T15:01:54.777188Z digest=sha256:f577564a66c3b97936f7d51c1a53aa0e3011910c386afacb3c95506b2f6d6185

Observation 011bef43-3532-42a2-b473-19a6fcaae206 · outbound

This paper cites Bridson,Non-positive curvature and complexity for finitely presented groups, Intern.

Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups Bridson,Non-positive curvature and complexity for finitely presented groups, Intern

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:55.050266Z

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.

source=pdf_text observed=2026-08-06T15:01:54.781812Z digest=sha256:f205d4456bb1e133c20ed2618debe96118c261be987a9810864e62c851df2055

Observation 3bd44df8-a543-4a4b-baa1-1830a7161dbc · outbound

This paper cites Bridson,On the subgroups of right-angled Artin groups and mapping class groups, Math.

Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups Bridson,On the subgroups of right-angled Artin groups and mapping class groups, Math

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:55.036792Z

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.

source=pdf_text observed=2026-08-06T15:01:54.785683Z digest=sha256:fe66855038a2713e84b2e18562abcc687927062222a5279ca721a1f9ec527c4e

Observation e6648532-bfa6-44d0-9b65-8fe0ffc6a438 · outbound

This paper cites Bridson,On the conjugacy problem for subdirect products of hyperbolic groups, preprint, Stan- ford, April 2025.

Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups Bridson,On the conjugacy problem for subdirect products of hyperbolic groups, preprint, Stan- ford, April 2025

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:55.023809Z

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.

source=pdf_text observed=2026-08-06T15:01:54.789443Z digest=sha256:e735a90f5b958879bc6b5849add9a7d3bd80ac49e1e8275a72726d463fb55756

Observation 67cfc7d0-eca6-457f-8c13-e2ffb12fe5c0 · outbound

This paper cites Metric Spaces of Non-Positive Curvature.

Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups Metric Spaces of Non-Positive Curvature

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:55.010751Z

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.

source=pdf_text observed=2026-08-06T15:01:54.793159Z digest=sha256:6ef86bd8fbf988a0fdd368d7d5105ded29f0cbaa9210f068f22ea8554290ca6f

Observation 11e2b1c6-43ce-4850-88ed-458c5ff08e5d · outbound

This paper cites Bridson, J.

Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups Bridson, J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:54.997210Z

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.

source=pdf_text observed=2026-08-06T15:01:54.796907Z digest=sha256:6556c604a3822ba4b5948e7b1051048447649bd072dd213dc94d7eac3faf9c92

Observation 7234aac2-3cec-4bcb-80d8-aa414d26821e · outbound

This paper cites Bridson and C.F.

Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups Bridson and C.F

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:54.984518Z

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.

source=pdf_text observed=2026-08-06T15:01:54.800744Z digest=sha256:aa55022da3386a4917054052b210e75a07322613a91e90fdc8466dec6593ae75

Observation ddacfc01-8f7f-43a2-a32a-59b9e5250c7f · outbound

This paper cites Bridson and T.R.

Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups Bridson and T.R

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:54.970826Z

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.

source=pdf_text observed=2026-08-06T15:01:54.804606Z digest=sha256:f85d547f06b57f68dbc2d3e97d49f4ffcdbfd153a0c76d24fb18e35e117cb3ca

Observation 1f1a3fdc-1afa-41b7-9731-998f9efddb78 · outbound

This paper cites Bridson, T.R.

Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups Bridson, T.R

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:54.956606Z

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.

source=pdf_text observed=2026-08-06T15:01:54.808706Z digest=sha256:f796716e9115f4be96e4906c49ac269dff63b62a18f4875a4fce126c3c964622

Observation 8740223c-03c3-4d21-aed9-2e09044e00ee · outbound

This paper cites Isoperimetric functions for subdirect products and Bestvina-Brady groups.

Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups Isoperimetric functions for subdirect products and Bestvina-Brady groups

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-06T15:01:54.812660Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:01:54.812660Z digest=sha256:23be8559ec4c279b6b3dbf642d10c5ce52a69e4edf89875e36608d19a44b148a

Observation dee6ac32-cfaa-4d6d-9075-4cabf1d837a3 · outbound

This paper cites Essays in Group Theory.

Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups Essays in Group Theory

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:54.941577Z

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.

source=pdf_text observed=2026-08-06T15:01:54.816786Z digest=sha256:5701d51c9394a6a21b11c741b2ef26a1b8d74e280a61bf5f5a6bc04d81bda01b

Observation e72a280d-a45e-4b2b-b15b-6ee9f76a5b31 · outbound

This paper cites Haglund and D.T.

Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups Haglund and D.T

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:54.927764Z

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.

source=pdf_text observed=2026-08-06T15:01:54.821641Z digest=sha256:487ef13a1c0c222c2bb139a8fe57f89138d0a85e2eb76fcd9d511bd972fe1bbb

Observation cf273e2f-68ae-4826-a0ff-23a4191ee89b · outbound

This paper cites Mihailova,The occurrence problem for direct products of groups, Dokl.

Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups Mihailova,The occurrence problem for direct products of groups, Dokl

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:54.914125Z

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.

source=pdf_text observed=2026-08-06T15:01:54.825467Z digest=sha256:b9f48ffd1cd777d847c2dd6c6db586faff8180c431151bb24ec475fc913d321d

Observation ba9821bd-0d46-4a05-8347-49305ad41385 · outbound

This paper cites On group-theoretic decision problems and their classification.

Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups On group-theoretic decision problems and their classification

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:54.899614Z

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.

source=pdf_text observed=2026-08-06T15:01:54.829227Z digest=sha256:8bdedd86f9117c5b3c559ab2c60831ab78dd1dfc804dc6e0c4941b4f86d75c86

Observation b9863439-4df6-49ce-aa4e-8c698fc092eb · outbound

This paper cites Rips,Subgroups of small cancellation groups, Bull.

Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups Rips,Subgroups of small cancellation groups, Bull

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:01:54.884760Z

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.

source=pdf_text observed=2026-08-06T15:01:54.832963Z digest=sha256:425c66950c6828324f3143be1f459654358f7fbb57dae6bd5f7fef197022e114

Pith citing papers

Observation 7c558fa1-3b64-48be-8e5c-3e416925f196 · inbound

Conjugator length in finitely presented groups cites this paper.

Conjugator length in finitely presented groups Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-01T10:05:23.375477Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T10:05:23.375477Z digest=sha256:6956954e12787eb7bdb7397f56e89e1514bd98e72a09faffe44a1f4efbb7bdf2