Paper Citation Record · LEDGER

A note on intrinsic topologies of groups

As of 23 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 4 inbound Pith citation observations for arXiv:2506.11500.

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

pith.paper-citation-record.v1
2506.11500 v2

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:16:49.634914Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T06:37:24.162651Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T19:10:04.442933Z

Reference resolution

30 of 30 outbound references displayed

verified exact3
verified fuzzy22
unresolved4
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3d8017ee-ab56-4d27-942c-5464d819bf1f · outbound

This paper cites Banakh, I.

A note on intrinsic topologies of groups Banakh, I

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:16:50.206112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7b0c420b-21b8-4463-80cb-861f0623d5ad · outbound

This paper cites Zariski topologies on groups.

A note on intrinsic topologies of groups Zariski topologies on groups

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:16:49.836476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 51e5bc9e-48aa-4d89-92b2-492f098ec136 · outbound

This paper cites Baumslag, A.

A note on intrinsic topologies of groups Baumslag, A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:16:50.191375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3dd46e80-0473-4f28-9a89-3c6e2eddadef · outbound

This paper cites an unresolved cited work.

A note on intrinsic topologies of groups Unresolved cited work

Reference 4

Resolution: malformed identifier; no resolver link, observed 2026-08-07T04:16:47.943282Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f16f773-e58d-4ffb-99d9-6849917c0f0b · outbound

This paper cites Bogopolski, Equations in acylindrically hyperbolic groups and verbal closedness , Groups Geom.

A note on intrinsic topologies of groups Bogopolski, Equations in acylindrically hyperbolic groups and verbal closedness , Groups Geom

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:16:50.176701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d8d3c05f-4a2f-4b9e-9b1c-03fd84c82ebf · outbound

This paper cites Bryant, The verbal topology of a group , J.

A note on intrinsic topologies of groups Bryant, The verbal topology of a group , J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:16:50.161505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b3fbba48-4a7b-49a9-912a-58572a851f4a · outbound

This paper cites Cannon, Introductory notes on Richard Thompson ’s groups, Enseign.

A note on intrinsic topologies of groups Cannon, Introductory notes on Richard Thompson ’s groups, Enseign

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:16:50.146820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4021c81e-9e07-4703-8bcf-5edc5a20f960 · outbound

This paper cites Dikranjan, D.

A note on intrinsic topologies of groups Dikranjan, D

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:16:50.132265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation efbd3e57-a08c-4ff2-8efe-8af638f0d2a0 · outbound

This paper cites Dikranjan, D.

A note on intrinsic topologies of groups Dikranjan, D

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:16:50.116801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5fe604f4-bfa6-438d-82ce-590011bda1cb · outbound

This paper cites Dikranjan, D.

A note on intrinsic topologies of groups Dikranjan, D

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:16:50.101230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 77e46322-c7c3-4396-abba-b63541406030 · outbound

This paper cites Dikranjan, D.

A note on intrinsic topologies of groups Dikranjan, D

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:16:50.087070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 93a35158-86b7-4e89-89ca-8861faab5e20 · outbound

This paper cites Dikranjan, D.

A note on intrinsic topologies of groups Dikranjan, D

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:16:50.073063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1af79a19-5d69-4694-a809-0e0591bbd873 · outbound

This paper cites Dikranjan, D.

A note on intrinsic topologies of groups Dikranjan, D

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:16:50.058783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation da27ac8c-f3c7-449d-9e91-a979d141a368 · outbound

This paper cites Elliott, J.

A note on intrinsic topologies of groups Elliott, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:16:50.044871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9fc7c9c2-81f7-4451-881d-cbe4a2f4239d · outbound

This paper cites Elliott, J.

A note on intrinsic topologies of groups Elliott, J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:16:50.031077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5e363425-66f5-49c1-97f1-1a37ec5a3345 · outbound

This paper cites an unresolved cited work.

A note on intrinsic topologies of groups Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:16:50.017086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8f2ae6ee-69c5-4ae0-8a20-af8300aab762 · outbound

This paper cites Ghadernezhad, J Gonz´ alez, group topologies on automorphism groups of homogeneous structures 327:1 (2023), 83–105.

A note on intrinsic topologies of groups Ghadernezhad, J Gonz´ alez, group topologies on automorphism groups of homogeneous structures 327:1 (2023), 83–105

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:16:50.002988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d9185bbb-8557-4206-aab4-6d177e0e8b2d · outbound

This paper cites Goffer, B.

A note on intrinsic topologies of groups Goffer, B

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:16:49.987718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 73ff1266-ad87-4f4b-8f8b-e5330b1beeb6 · outbound

This paper cites Grigorchuk, Bernside’s problem on periodic groups , Funct Anal Its Appl 14 (1980), 41–43.

A note on intrinsic topologies of groups Grigorchuk, Bernside’s problem on periodic groups , Funct Anal Its Appl 14 (1980), 41–43

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:16:49.972755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 490063d5-119f-4a37-bd31-3adf4f927039 · outbound

This paper cites Jacobson, Algebraic subgroups of acylindrically hyperbolic groups , J.

A note on intrinsic topologies of groups Jacobson, Algebraic subgroups of acylindrically hyperbolic groups , J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:16:49.955709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4cf59628-299e-4f26-ba13-8c3f20593a39 · outbound

This paper cites an unresolved cited work.

A note on intrinsic topologies of groups Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:16:49.941135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 95ea6fee-750a-4cc9-a3fd-1f663bc8bd90 · outbound

This paper cites an unresolved cited work.

A note on intrinsic topologies of groups Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:16:49.926277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2d82a77a-7953-4211-ae1c-533ea8a736d6 · outbound

This paper cites Kechris, C.

A note on intrinsic topologies of groups Kechris, C

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:16:49.911782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7d4cd9a6-143a-4bce-a0bb-61692fc3c0e6 · outbound

This paper cites Markov, On unconditionally closed sets , Mat.

A note on intrinsic topologies of groups Markov, On unconditionally closed sets , Mat

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:16:49.896444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation faf9b14c-bf21-4be2-9cd0-7a496ad98489 · outbound

This paper cites A Shelah group in ZFC.

A note on intrinsic topologies of groups A Shelah group in ZFC

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:16:49.815156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 89cd04bd-7936-49bb-a5ba-a09870f05995 · outbound

This paper cites The semigroup of increasing functions on the rational numbers has a unique Polish topology.

A note on intrinsic topologies of groups The semigroup of increasing functions on the rational numbers has a unique Polish topology

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T04:16:49.616670Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1eeec3e-81b5-46c3-82fb-ad94ddb374d1 · outbound

This paper cites Pinsker, C.

A note on intrinsic topologies of groups Pinsker, C

Reference 27

Resolution: verified exact; doi, observed 2026-08-07T04:16:49.767397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2cc18d77-73e4-43c0-8b95-3066e315f1c9 · outbound

This paper cites Rosendal, On the non-existence of certain group topologies , Fund.

A note on intrinsic topologies of groups Rosendal, On the non-existence of certain group topologies , Fund

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:16:49.881189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2774f8d7-b88b-4616-b0ac-4387749579a4 · outbound

This paper cites Sabok, Automatic continuity for isometry groups , J.

A note on intrinsic topologies of groups Sabok, Automatic continuity for isometry groups , J

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:16:49.866410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 65152a7a-6125-43f8-856b-19be1e16a5fe · outbound

This paper cites Shelah, On a problem of Kurosh, J´ onsson groups, and applications, Word problems, II, pp.

A note on intrinsic topologies of groups Shelah, On a problem of Kurosh, J´ onsson groups, and applications, Word problems, II, pp

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:16:49.852108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

Observation 0c68c625-9e7f-430f-944f-93c67a8e1894 · inbound

A guide to topological reconstruction on endomorphism monoids and polymorphism clones cites this paper.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones A note on intrinsic topologies of groups

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T19:34:27.176807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7267114b-d6ad-4ca9-af84-cdd9ab640d5f · inbound

The Zariski Topology on Homeomorphism groups cites this paper.

The Zariski Topology on Homeomorphism groups A note on intrinsic topologies of groups

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-03T09:20:44.357423Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97c92514-74af-4748-bda8-9cdc6ceb2870 · inbound

The Zariski Topology on Homeomorphism groups cites this paper.

The Zariski Topology on Homeomorphism groups A note on intrinsic topologies of groups

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-04T06:37:24.162651Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d543d379-eae2-4236-9990-8863415d6fbc · inbound

All mixed identities are singular in groups with no algebraicity cites this paper.

All mixed identities are singular in groups with no algebraicity A note on intrinsic topologies of groups

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-07-04T19:10:04.444787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.