Paper Citation Record · LEDGER

A continuum of non-measure equivalent groups

As of 9 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 1 inbound Pith citation observation for arXiv:2512.04531.

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

pith.paper-citation-record.v1
2512.04531 v2

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T18:50:54.398854Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-16T18:42:56.897444Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-16T18:43:16.439358Z

Reference resolution

44 of 44 outbound references displayed

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External citation measurements

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Outbound references

Observation 583f7be1-81df-409e-85e0-7a0007b8f0ff · outbound

This paper cites Kesten’s theorem for invariant random subgroups.Duke Math.

A continuum of non-measure equivalent groups Kesten’s theorem for invariant random subgroups.Duke Math

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:49.226866Z

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Observation 269682dd-2aeb-4dad-ad27-d4cf6265d125 · outbound

This paper cites Boundary amenability for word hyperbolic groups and an application to smooth dynamics of simple groups.Topology, 33(4):765–783, 1994.

A continuum of non-measure equivalent groups Boundary amenability for word hyperbolic groups and an application to smooth dynamics of simple groups.Topology, 33(4):765–783, 1994

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:49.417428Z

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Observation e70bb7bb-378f-4f9f-8a15-2c5ccf2f1c46 · outbound

This paper cites Some new rigidity results for stable orbit equivalence.Ergodic Theory Dynam.

A continuum of non-measure equivalent groups Some new rigidity results for stable orbit equivalence.Ergodic Theory Dynam

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:49.685926Z

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Observation 2aeab63a-4ddd-4a8f-86a6-b2925b2c934d · outbound

This paper cites Reduction of cocycles with hyperbolic targets.Ergodic Theory Dynam.

A continuum of non-measure equivalent groups Reduction of cocycles with hyperbolic targets.Ergodic Theory Dynam

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:49.849294Z

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Observation 33d65b13-d2d1-4d7b-82aa-7401b4e49c77 · outbound

This paper cites Free products, orbit equivalence and measure equivalence rigidity.Groups Geom.

A continuum of non-measure equivalent groups Free products, orbit equivalence and measure equivalence rigidity.Groups Geom

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:50.037218Z

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Observation fc6c6094-28fa-4124-b3ea-c6ee7463dbaf · outbound

This paper cites Anantharaman-Delaroche.

A continuum of non-measure equivalent groups Anantharaman-Delaroche

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:50.080488Z

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Observation 25c92bb4-6fe4-41c0-b33f-5db6ee25eeb2 · outbound

This paper cites Syst` emes dynamiques non commutatifs et moyennabilit´ e.Math.

A continuum of non-measure equivalent groups Syst` emes dynamiques non commutatifs et moyennabilit´ e.Math

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:50.151529Z

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Observation ba063a84-868f-40a4-b76b-bfc4e4a875eb · outbound

This paper cites Amenable invariant random subgroups (with an ap- pendix by Phillip Wesolek).Israel Journal of Mathematics, 213(1):399–422, 2016.

A continuum of non-measure equivalent groups Amenable invariant random subgroups (with an ap- pendix by Phillip Wesolek).Israel Journal of Mathematics, 213(1):399–422, 2016

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:50.231469Z

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Observation 4f40f287-947e-4b1d-afec-c06b0fd7e2d4 · outbound

This paper cites Properly proximal groups and their von Neumann algebras.Ann.

A continuum of non-measure equivalent groups Properly proximal groups and their von Neumann algebras.Ann

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:50.373055Z

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Observation c4327685-361c-4381-ba03-f73cde8b6e35 · outbound

This paper cites Rigidity for von Neumann algebras given by locally compact groups and their crossed products.Comm.

A continuum of non-measure equivalent groups Rigidity for von Neumann algebras given by locally compact groups and their crossed products.Comm

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:50.496514Z

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Observation c49e84a4-4232-49e4-ad24-aeff1b641cd7 · outbound

This paper cites Brown and Narutaka Ozawa.C∗-algebras and finite-dimensional approximations, volume 88 ofGraduate Studies in Mathematics.

A continuum of non-measure equivalent groups Brown and Narutaka Ozawa.C∗-algebras and finite-dimensional approximations, volume 88 ofGraduate Studies in Mathematics

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:50.633875Z

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Observation 97fc577e-c719-4a88-b783-28a4e4290b8d · outbound

This paper cites an unresolved cited work.

A continuum of non-measure equivalent groups Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:50.764904Z

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Observation d3ff2bcc-0f37-4bac-9dc3-07fb8c5c64a8 · outbound

This paper cites Wreath-like products of groups and their von Neumann algebras II: Outer automorphisms.

A continuum of non-measure equivalent groups Wreath-like products of groups and their von Neumann algebras II: Outer automorphisms

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:50.844083Z

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Observation 8205d0c7-0afe-4def-9820-ec7899b7ff23 · outbound

This paper cites Wreath-like products of groups and their von Neumann algebras I: W ∗-superrigidity.Ann.

A continuum of non-measure equivalent groups Wreath-like products of groups and their von Neumann algebras I: W ∗-superrigidity.Ann

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:50.983123Z

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Observation e73f1e19-c443-44d8-8132-84a35d9829ac · outbound

This paper cites an unresolved cited work.

A continuum of non-measure equivalent groups Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:51.093571Z

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Observation d965e2ab-da24-41ab-9997-7fd57b0e8442 · outbound

This paper cites Some OE- andW ∗-rigidity results for actions by wreath product groups.J.

A continuum of non-measure equivalent groups Some OE- andW ∗-rigidity results for actions by wreath product groups.J

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:51.152840Z

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Observation d43b4f59-3727-4630-a9c3-34ae2f02f2de · outbound

This paper cites Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one.Invent.

A continuum of non-measure equivalent groups Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one.Invent

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:51.250945Z

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Observation 250c8c49-7004-453e-872c-d6dd3b7fb10d · outbound

This paper cites an unresolved cited work.

A continuum of non-measure equivalent groups Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:51.332610Z

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Observation a44f46ab-eeb2-4f06-8207-cfaaa46a8c80 · outbound

This paper cites Relative solidity for biexact groups in measure equivalence.

A continuum of non-measure equivalent groups Relative solidity for biexact groups in measure equivalence

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:51.389168Z

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Observation 05f11f22-857e-4567-86b8-3b8b6457f13e · outbound

This paper cites W*-correlations of II$_1$ factors and rigidity of tensor products and graph products.

A continuum of non-measure equivalent groups W*-correlations of II$_1$ factors and rigidity of tensor products and graph products

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:51.476499Z

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Observation 3e1df136-1d3d-4e0a-855f-9b5070f92a0e · outbound

This paper cites Graph products and measure equivalence: classification, rigidity, and quantitative aspects.

A continuum of non-measure equivalent groups Graph products and measure equivalence: classification, rigidity, and quantitative aspects

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:51.632976Z

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Observation 0965aee4-99b2-4744-9c3d-84de25837062 · outbound

This paper cites Dimensions of finitely generated simple groups and their subgroups.

A continuum of non-measure equivalent groups Dimensions of finitely generated simple groups and their subgroups

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:51.751402Z

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Observation 65df1b0c-e2db-49d0-993a-0744cbda94c2 · outbound

This paper cites Gromov’s measure equivalence and rigidity of higher rank lattices.Ann.

A continuum of non-measure equivalent groups Gromov’s measure equivalence and rigidity of higher rank lattices.Ann

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:51.872401Z

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Observation 708dfab2-a111-48d3-8a49-b85f5fa2cf7f · outbound

This paper cites A survey of measured group theory.

A continuum of non-measure equivalent groups A survey of measured group theory

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:51.995993Z

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Observation 056a88db-3774-4914-9f4c-2a641248a171 · outbound

This paper cites Cout des relations d’´ equivalence et des groupes.Inventiones mathematicae, 139(1):41–98, 2000.

A continuum of non-measure equivalent groups Cout des relations d’´ equivalence et des groupes.Inventiones mathematicae, 139(1):41–98, 2000

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:52.108034Z

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Observation 55a69903-379a-4e05-bedc-64fc26b642d6 · outbound

This paper cites Invariantsl 2 de relations d’equivalence et de groupes.Publications math´ ematiques de l’IH ´ES, 95:93–150, 2002.

A continuum of non-measure equivalent groups Invariantsl 2 de relations d’equivalence et de groupes.Publications math´ ematiques de l’IH ´ES, 95:93–150, 2002

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:52.226419Z

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Observation 075deba8-4f4b-41eb-bbe0-9a985b27d555 · outbound

This paper cites an unresolved cited work.

A continuum of non-measure equivalent groups Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:52.316285Z

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Observation 9cb02ca1-1af4-4a98-962e-06822289633f · outbound

This paper cites Measure equivalence rigidity of $\mathrm{Out}(F_N)$.

A continuum of non-measure equivalent groups Measure equivalence rigidity of $\mathrm{Out}(F_N)$

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:52.437347Z

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Observation a2ced836-4444-4630-ae8c-98aa8d80038c · outbound

This paper cites an unresolved cited work.

A continuum of non-measure equivalent groups Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:52.590281Z

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Observation a8b17aef-b1e0-477a-b2e6-2a9212f6b2cb · outbound

This paper cites Measure equivalence rigidity among the Higman groups.

A continuum of non-measure equivalent groups Measure equivalence rigidity among the Higman groups

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:52.734997Z

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Observation 323e57e8-244d-4c56-869f-32e690a9d22f · outbound

This paper cites Measure equivalence classification of transvection-free right-angled Artin groups.J.

A continuum of non-measure equivalent groups Measure equivalence classification of transvection-free right-angled Artin groups.J

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:52.874101Z

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Observation ef59c49c-8db0-4f37-8e7c-edd8926e20c8 · outbound

This paper cites Von Neumann equivalence and properly proximal groups.

A continuum of non-measure equivalent groups Von Neumann equivalence and properly proximal groups

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:53.049055Z

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Observation 66886108-a292-44b6-ae99-0e7f1fc3bfed · outbound

This paper cites Proper cocycles and weak forms of amenability.Colloq.

A continuum of non-measure equivalent groups Proper cocycles and weak forms of amenability.Colloq

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:53.150120Z

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Observation 4d922e29-7a63-42bc-a436-386c4b72f435 · outbound

This paper cites Kechris and Benjamin D.

A continuum of non-measure equivalent groups Kechris and Benjamin D

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:53.235087Z

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Observation 3929ea33-926f-49a7-95ae-44183b14f088 · outbound

This paper cites Measure equivalence rigidity of the mapping class group.Ann.

A continuum of non-measure equivalent groups Measure equivalence rigidity of the mapping class group.Ann

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:53.342875Z

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Observation 935121d6-1166-4370-832f-93df7eeb50ba · outbound

This paper cites Invariants of orbit equivalence relations and Baumslag-Solitar groups.Tohoku Mathe- matical Journal, Second Series, 66(2):205–258, 2014.

A continuum of non-measure equivalent groups Invariants of orbit equivalence relations and Baumslag-Solitar groups.Tohoku Mathe- matical Journal, Second Series, 66(2):205–258, 2014

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:53.450791Z

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Observation ec26773f-9828-4e42-b02b-39fa56750712 · outbound

This paper cites an unresolved cited work.

A continuum of non-measure equivalent groups Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:53.661436Z

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Observation 24c721a6-c73e-4004-bfe2-0facc47f6060 · outbound

This paper cites Cocycle superrigidity and bounded cohomology for negatively curved spaces.J.

A continuum of non-measure equivalent groups Cocycle superrigidity and bounded cohomology for negatively curved spaces.J

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:53.806889Z

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Observation 9c1ecf07-1da8-4c1d-9c38-3654c7fc03a4 · outbound

This paper cites Orbit equivalence rigidity and bounded cohomology.Annals of mathematics, pages 825–878, 2006.

A continuum of non-measure equivalent groups Orbit equivalence rigidity and bounded cohomology.Annals of mathematics, pages 825–878, 2006

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:53.966544Z

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Observation 450b39b6-1afe-4c58-b71b-5f967e9d84a0 · outbound

This paper cites Ornstein and Benjamin Weiss.

A continuum of non-measure equivalent groups Ornstein and Benjamin Weiss

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:54.061169Z

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Observation 07fd7f73-4b04-4fad-a863-eefa01fb4daa · outbound

This paper cites Unique Cartan decomposition for II1 factors arising from arbitrary actions of hyperbolic groups.J.

A continuum of non-measure equivalent groups Unique Cartan decomposition for II1 factors arising from arbitrary actions of hyperbolic groups.J

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:54.109809Z

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Observation 19f1adf9-4424-40c2-b0d5-c4932dec47d0 · outbound

This paper cites The classSas an ME invariant.Int.

A continuum of non-measure equivalent groups The classSas an ME invariant.Int

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:54.195883Z

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Observation ac7b2701-fd60-4d3e-a990-467dd1bfe044 · outbound

This paper cites Measure equivalence rigidity and bi-exactness of groups.J.

A continuum of non-measure equivalent groups Measure equivalence rigidity and bi-exactness of groups.J

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:54.299248Z

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Observation 6c1ea5f5-fb28-4bd5-ab26-f4fb8345bb15 · outbound

This paper cites Birkh¨ auser Basel, 1984.

A continuum of non-measure equivalent groups Birkh¨ auser Basel, 1984

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-03T18:50:54.398854Z

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Pith citing papers

Observation f1edf76b-b79b-429e-b161-b49a29fb354d · inbound

Kazhdan groups of dimension $16$ with prescribed second $\ell^2$-Betti number cites this paper.

Kazhdan groups of dimension $16$ with prescribed second $\ell^2$-Betti number A continuum of non-measure equivalent groups

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-07-14T01:19:57.060811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.