Paper Citation Record · LEDGER

Existentially closed measure-preserving actions of approximately treeable groups

As of 14 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 2 inbound Pith citation observations for arXiv:2507.03195.

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

pith.paper-citation-record.v1
2507.03195 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:36:14.591315Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T00:41:21.511591Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-15T09:09:53.422530Z

Reference resolution

43 of 43 outbound references displayed

verified exact2
verified fuzzy31
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a6214582-2b91-4d62-af5e-512ed50f89de · outbound

This paper cites 2, 323-333.

Existentially closed measure-preserving actions of approximately treeable groups 2, 323-333

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:22.083722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7563fde9-a499-4bd5-bd54-5f4af8a8ca3c · outbound

This paper cites Alpeev and B.

Existentially closed measure-preserving actions of approximately treeable groups Alpeev and B

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:21.908836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 59e72290-3eea-4a06-89de-0d740360af67 · outbound

This paper cites an unresolved cited work.

Existentially closed measure-preserving actions of approximately treeable groups Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:36:21.749590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 33daab54-ce27-4086-97b2-236b304499d1 · outbound

This paper cites Berenstein and C.W, Henson,Model theory of probability spaces with an automorphism, arXiv 0405360.

Existentially closed measure-preserving actions of approximately treeable groups Berenstein and C.W, Henson,Model theory of probability spaces with an automorphism, arXiv 0405360

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:21.554436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4028dfe3-91ed-4bd5-861e-112edb48b32c · outbound

This paper cites Berenstein, C.

Existentially closed measure-preserving actions of approximately treeable groups Berenstein, C

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:21.409733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2a616d8f-f26e-40b0-a6e0-aaf2a13fde3c · outbound

This paper cites Bergelson,Minimal Idempotents and Ergodic Ramsey Theory, inTopics in dynamics and er- godic theory, S.

Existentially closed measure-preserving actions of approximately treeable groups Bergelson,Minimal Idempotents and Ergodic Ramsey Theory, inTopics in dynamics and er- godic theory, S

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:21.274720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c93a42b2-d5ef-431e-9363-0789fc0f1a93 · outbound

This paper cites Bowen,Periodicity and circle packings of the hyperbolic plane, Geometriae Dedicata102 (2003), no.

Existentially closed measure-preserving actions of approximately treeable groups Bowen,Periodicity and circle packings of the hyperbolic plane, Geometriae Dedicata102 (2003), no

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:21.084228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 466af8f9-87f9-4e37-90ab-1f44bfa5e4db · outbound

This paper cites Bowen,Measure conjugacy invariants for actions of countable sofic groups, Journal of the American Mathematical Society23 (2010), 217-245.

Existentially closed measure-preserving actions of approximately treeable groups Bowen,Measure conjugacy invariants for actions of countable sofic groups, Journal of the American Mathematical Society23 (2010), 217-245

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:20.903297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2e4bbd0b-e2bb-41ca-a12b-50711798a00f · outbound

This paper cites Bowen, Zero entropy is generic , Entropy 18 (2016), no.

Existentially closed measure-preserving actions of approximately treeable groups Bowen, Zero entropy is generic , Entropy 18 (2016), no

Reference 9

Resolution: verified exact; doi, observed 2026-08-06T20:36:14.965722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 565d1e7d-01a1-4c8e-a70c-05f028b99303 · outbound

This paper cites Bowen and R.

Existentially closed measure-preserving actions of approximately treeable groups Bowen and R

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:20.695597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8c1fc7c9-f5cc-4a28-988c-81552c272b87 · outbound

This paper cites Bowen and R.

Existentially closed measure-preserving actions of approximately treeable groups Bowen and R

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:20.543799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5b227ba7-b81d-46a4-9707-3c24ca59bed6 · outbound

This paper cites Bridson, M.

Existentially closed measure-preserving actions of approximately treeable groups Bridson, M

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:20.397848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4b47feb8-603e-486e-b370-f1b3485cdcba · outbound

This paper cites an unresolved cited work.

Existentially closed measure-preserving actions of approximately treeable groups Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:36:20.213633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cbe8dd5d-2009-4706-8206-57018c525209 · outbound

This paper cites Conley, D.

Existentially closed measure-preserving actions of approximately treeable groups Conley, D

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T20:36:11.812562Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14034017-9fff-40c5-b8f6-8f5a3e92b65e · outbound

This paper cites Conley, A.

Existentially closed measure-preserving actions of approximately treeable groups Conley, A

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:20.012109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4fa01750-5183-4fb5-ad17-60ca4a330c5d · outbound

This paper cites an unresolved cited work.

Existentially closed measure-preserving actions of approximately treeable groups Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:36:19.810502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ae448782-16e2-4119-a9e6-70487bb57b39 · outbound

This paper cites an unresolved cited work.

Existentially closed measure-preserving actions of approximately treeable groups Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:36:19.636550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9fcb6fe9-e140-4e6a-8fd3-a14a719c3778 · outbound

This paper cites 2007(2007),rnm073, https://doi.org/10.1093/imrn/rnm073.

Existentially closed measure-preserving actions of approximately treeable groups 2007(2007),rnm073, https://doi.org/10.1093/imrn/rnm073

Reference 18

Resolution: verified exact; doi, observed 2026-08-06T20:36:14.766733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 54ea2b6e-4ae1-4e90-8af3-9e833fa6f523 · outbound

This paper cites Gaboriau,Coût des relations d’équivalence et des groupes, Inventiones mathematicae139, no.

Existentially closed measure-preserving actions of approximately treeable groups Gaboriau,Coût des relations d’équivalence et des groupes, Inventiones mathematicae139, no

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:19.494196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2738a973-80f1-4066-8584-b831b65b3ff7 · outbound

This paper cites Gaboriau,Invariants ℓ2 de relations d’équivalence et de groupes, Publications mathéma- tiques de l’IHÉS95 (2002), 93-150.

Existentially closed measure-preserving actions of approximately treeable groups Gaboriau,Invariants ℓ2 de relations d’équivalence et de groupes, Publications mathéma- tiques de l’IHÉS95 (2002), 93-150

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:19.346315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 53541cf8-2d36-4cbd-9d83-45fdbe973da5 · outbound

This paper cites Gaboriau,Examples of groups that are measure equivalent to the free group, Ergodic Theory Dynam.

Existentially closed measure-preserving actions of approximately treeable groups Gaboriau,Examples of groups that are measure equivalent to the free group, Ergodic Theory Dynam

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:19.180729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4634bfec-3196-4f84-8dde-41be2ee02d14 · outbound

This paper cites Glasner,Ergodic theory via joinings, Mathematical Surveys and Monographs101(2003), American Mathematical Society.

Existentially closed measure-preserving actions of approximately treeable groups Glasner,Ergodic theory via joinings, Mathematical Surveys and Monographs101(2003), American Mathematical Society

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:19.025430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 67bcc4f6-d8f2-4cec-b7f9-9beabbc8732c · outbound

This paper cites Glasner and B.

Existentially closed measure-preserving actions of approximately treeable groups Glasner and B

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:18.861788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2cd3b27f-e375-4914-b4f3-db1ec7c32e19 · outbound

This paper cites Goldbring,Spectral gap and definability, Beyond first-order model theory, Volume 2.

Existentially closed measure-preserving actions of approximately treeable groups Goldbring,Spectral gap and definability, Beyond first-order model theory, Volume 2

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:18.674993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7396da25-35c9-48cc-8d99-c1e83cc5971f · outbound

This paper cites an unresolved cited work.

Existentially closed measure-preserving actions of approximately treeable groups Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:36:18.556254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 93001f71-ffe0-40db-8229-bf1e3c1085c3 · outbound

This paper cites Hjorth,A lemma for cost attained, Ann.

Existentially closed measure-preserving actions of approximately treeable groups Hjorth,A lemma for cost attained, Ann

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:18.441915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b99d3ff3-e439-4000-bfc8-a23a6002d13c · outbound

This paper cites Ibarlucía and T.

Existentially closed measure-preserving actions of approximately treeable groups Ibarlucía and T

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:18.349503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 509baf21-9695-41dc-95d1-7dfc8c56beb8 · outbound

This paper cites Subequivalencerelationsandpositive-definitefunctions , Groups, Geometry, and Dynamics3 (2009), 579-625.

Existentially closed measure-preserving actions of approximately treeable groups Subequivalencerelationsandpositive-definitefunctions , Groups, Geometry, and Dynamics3 (2009), 579-625

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:18.234746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation aad8c399-6b97-455d-a996-0366a99f51cd · outbound

This paper cites Kechris, Classical Descriptive Set Theory.

Existentially closed measure-preserving actions of approximately treeable groups Kechris, Classical Descriptive Set Theory

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:18.108106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 58b4b378-9a81-4544-9258-9ffb1971b736 · outbound

This paper cites Kechris,Weak containment in the space of actions of a free group, Israel J.

Existentially closed measure-preserving actions of approximately treeable groups Kechris,Weak containment in the space of actions of a free group, Israel J

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:17.753889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 40261d3d-9f22-4b7f-897c-c8a398d1c79a · outbound

This paper cites an unresolved cited work.

Existentially closed measure-preserving actions of approximately treeable groups Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:36:17.560073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 676b4420-7039-4355-8674-844e6079fcad · outbound

This paper cites Kechris and B.

Existentially closed measure-preserving actions of approximately treeable groups Kechris and B

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:17.411431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8471be47-6f9a-4572-9a74-452f72beb542 · outbound

This paper cites Kerr and M.

Existentially closed measure-preserving actions of approximately treeable groups Kerr and M

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:17.220000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 25a8a724-56ed-44a1-bdc4-68ed4c0a3aac · outbound

This paper cites an unresolved cited work.

Existentially closed measure-preserving actions of approximately treeable groups Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:36:17.028545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1e5c5477-4dcf-4ba7-8a0a-4d8b4103ca8a · outbound

This paper cites Lubotzky, and Y.

Existentially closed measure-preserving actions of approximately treeable groups Lubotzky, and Y

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:16.858445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 17f74dd4-b49c-479c-af5c-bebfe1974a78 · outbound

This paper cites Ornstein and B.

Existentially closed measure-preserving actions of approximately treeable groups Ornstein and B

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:16.628546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1628698b-c3b7-4bfe-b528-fe67c0ac2851 · outbound

This paper cites an unresolved cited work.

Existentially closed measure-preserving actions of approximately treeable groups Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:36:16.447780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fc1c9652-636f-4b98-8935-1796945ce331 · outbound

This paper cites Popa,Cocycle and orbit equivalence superrigidity for malleable actions of w-rigid groups, Inv.

Existentially closed measure-preserving actions of approximately treeable groups Popa,Cocycle and orbit equivalence superrigidity for malleable actions of w-rigid groups, Inv

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:16.180145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0cddc525-cddc-4391-ac69-aa32445bf023 · outbound

This paper cites Seward,Krieger’s finite generator theorem for actions of countable groups I, Inv.

Existentially closed measure-preserving actions of approximately treeable groups Seward,Krieger’s finite generator theorem for actions of countable groups I, Inv

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:16.010705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f0487170-7ad8-4b7e-ae46-24b300b32b15 · outbound

This paper cites Tucker-Drob,Weak equivalence and non-classifiability of measure preserving actions, Er- god.

Existentially closed measure-preserving actions of approximately treeable groups Tucker-Drob,Weak equivalence and non-classifiability of measure preserving actions, Er- god

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:15.848801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 77fb3ed1-e723-4891-9a13-9bdc5c9b6a08 · outbound

This paper cites an unresolved cited work.

Existentially closed measure-preserving actions of approximately treeable groups Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:36:15.609586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 53323418-ac26-42d7-b016-02625f4b5444 · outbound

This paper cites Walters, An Introduction to Ergodic Theory.

Existentially closed measure-preserving actions of approximately treeable groups Walters, An Introduction to Ergodic Theory

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:15.440885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 07d0077f-46f4-4e2f-9683-37e6b3101340 · outbound

This paper cites Wilton,Hall’s theorem for limit groups, Geom.

Existentially closed measure-preserving actions of approximately treeable groups Wilton,Hall’s theorem for limit groups, Geom

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:36:15.230068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

Observation eb3cf675-8f54-4ceb-8345-910532e3e29e · inbound

The Local Lifting Property, Property FD, and stability of approximate representations cites this paper.

The Local Lifting Property, Property FD, and stability of approximate representations Existentially closed measure-preserving actions of approximately treeable groups

Reference 88

Resolution: verified exact; arxiv_id, observed 2026-05-15T09:09:53.424812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b2a37617-5de7-4139-89b8-7280d74c718e · inbound

Relative Property (T), simplices of invariant measures, and existentially closed models cites this paper.

Relative Property (T), simplices of invariant measures, and existentially closed models Existentially closed measure-preserving actions of approximately treeable groups

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-11T00:41:21.511591Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.