Paper Citation Record · LEDGER

Relative Property (T), simplices of invariant measures, and existentially closed models

As of 12 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2608.07649.

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

pith.paper-citation-record.v1
2608.07649 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T00:41:21.609738Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

46 of 46 outbound references displayed

verified exact4
verified fuzzy30
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 05fef011-bca5-48bb-905d-8a473d34a956 · outbound

This paper cites an unresolved cited work.

Relative Property (T), simplices of invariant measures, and existentially closed models Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-11T00:41:22.386420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b3916bb4-5a8f-4ce3-af1b-309db562b5bb · outbound

This paper cites an unresolved cited work.

Relative Property (T), simplices of invariant measures, and existentially closed models Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-11T00:41:22.372353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 394eb561-387d-4813-8e7c-d5decb8ef563 · outbound

This paper cites On the geometry of a class of invariant measures and a problem of Aldous.

Relative Property (T), simplices of invariant measures, and existentially closed models On the geometry of a class of invariant measures and a problem of Aldous

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-11T00:41:21.785857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a42def54-0d16-43d8-8405-c5fbbf3dc278 · outbound

This paper cites Ab\'ert and B.

Relative Property (T), simplices of invariant measures, and existentially closed models Ab\'ert and B

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:22.357137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ec028b45-3739-42fa-afe9-7e51330894d1 · outbound

This paper cites Bagheri, Linear model theory for L ipschitz structures , Arch.

Relative Property (T), simplices of invariant measures, and existentially closed models Bagheri, Linear model theory for L ipschitz structures , Arch

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:22.341136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation eed154fb-cb68-412f-9748-66de2762ea69 · outbound

This paper cites Pure Appl.

Relative Property (T), simplices of invariant measures, and existentially closed models Pure Appl

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:22.324161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 71e2303a-5916-4e38-8282-6bebcee8ac59 · outbound

This paper cites Ben Yaacov , A.

Relative Property (T), simplices of invariant measures, and existentially closed models Ben Yaacov , A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:22.308985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3a744738-91a9-4b84-909d-55f39faa1b8f · outbound

This paper cites Bowen, R.

Relative Property (T), simplices of invariant measures, and existentially closed models Bowen, R

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:22.292697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7673e664-c6c2-4b4b-9e66-a58f6f382193 · outbound

This paper cites Berenstein and C.

Relative Property (T), simplices of invariant measures, and existentially closed models Berenstein and C

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:22.277216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ad2840aa-f011-4874-a1c0-97581b317be2 · outbound

This paper cites Berenstein, C.

Relative Property (T), simplices of invariant measures, and existentially closed models Berenstein, C

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:22.262415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8a09f769-4ce1-4a6f-81af-5e66a0af3151 · outbound

This paper cites Extremal models and direct integrals in affine logic.

Relative Property (T), simplices of invariant measures, and existentially closed models Extremal models and direct integrals in affine logic

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T00:41:21.449945Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d26f642f-e4b4-4bf9-9882-95d95c30fce0 · outbound

This paper cites Bowen, Invariant random subgroups of the free group, Groups Geom.

Relative Property (T), simplices of invariant measures, and existentially closed models Bowen, Invariant random subgroups of the free group, Groups Geom

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:22.248368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e1fe3936-93ce-4af0-a5b3-27b3731e025a · outbound

This paper cites Bagheri and R.

Relative Property (T), simplices of invariant measures, and existentially closed models Bagheri and R

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:22.234234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 772d5a16-8577-48d6-ae9c-62724f660673 · outbound

This paper cites Ben Yaacov and A.

Relative Property (T), simplices of invariant measures, and existentially closed models Ben Yaacov and A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:22.220766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2164ef34-82fb-45f1-8e09-1a6495791920 · outbound

This paper cites Bekka and A.

Relative Property (T), simplices of invariant measures, and existentially closed models Bekka and A

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:22.204981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ab53837c-829d-49de-b954-f07fa545c0ac · outbound

This paper cites Candela and B.

Relative Property (T), simplices of invariant measures, and existentially closed models Candela and B

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:22.187542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a1b4c035-2e92-4380-9b3d-7245d72ef8cb · outbound

This paper cites Connes and B.

Relative Property (T), simplices of invariant measures, and existentially closed models Connes and B

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:22.174331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7b9c7020-61f7-4c95-bee4-b07a0e438c1c · outbound

This paper cites an unresolved cited work.

Relative Property (T), simplices of invariant measures, and existentially closed models Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-11T00:41:22.160330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1f6f207b-459f-484b-ae68-a3b324549cab · outbound

This paper cites Downarowicz, The C hoquet simplex of invariant measures for minimal flows , Israel J.

Relative Property (T), simplices of invariant measures, and existentially closed models Downarowicz, The C hoquet simplex of invariant measures for minimal flows , Israel J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:22.147411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 045d0b54-20ca-4c9d-a6b9-ff24c8de81e3 · outbound

This paper cites an unresolved cited work.

Relative Property (T), simplices of invariant measures, and existentially closed models Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-11T00:41:22.133181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0aeba3f9-f18d-4c96-bdb0-91e7568354ca · outbound

This paper cites Hyperfinite measure-preserving actions of countable groups and their model theory.

Relative Property (T), simplices of invariant measures, and existentially closed models Hyperfinite measure-preserving actions of countable groups and their model theory

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-11T00:41:21.744182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 64e0043f-c6d9-493a-8afe-04853e559009 · outbound

This paper cites Characters of surface groups.

Relative Property (T), simplices of invariant measures, and existentially closed models Characters of surface groups

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-11T00:41:21.712664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2759eb93-4179-4cb9-b652-95af79c3ccb5 · outbound

This paper cites Glasner, Ergodic theory via joinings, Mathematical Surveys and Monographs, vol.

Relative Property (T), simplices of invariant measures, and existentially closed models Glasner, Ergodic theory via joinings, Mathematical Surveys and Monographs, vol

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:22.118283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b90c1f8b-58e7-494e-bc4d-d950631e513e · outbound

This paper cites Glasner, Y.

Relative Property (T), simplices of invariant measures, and existentially closed models Glasner, Y

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:22.103346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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

This paper cites Existentially closed measure-preserving actions of approximately treeable groups.

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.

Observation 5b1927b5-f473-44fd-ad63-fa37e0ecac85 · outbound

This paper cites Glasner and B.

Relative Property (T), simplices of invariant measures, and existentially closed models Glasner and B

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:22.088459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bb639ae8-ed58-4ff8-873a-06b9b730bb3a · outbound

This paper cites Systems 25 (2005), no.

Relative Property (T), simplices of invariant measures, and existentially closed models Systems 25 (2005), no

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:22.073847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 86d8c166-5f4f-49df-aca9-7bae6994504b · outbound

This paper cites Haydon, A new proof that every P olish space is the extreme boundary of a simplex , Bull.

Relative Property (T), simplices of invariant measures, and existentially closed models Haydon, A new proof that every P olish space is the extreme boundary of a simplex , Bull

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:22.058361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 72c31003-145f-45e8-b1c3-7d1190e9b651 · outbound

This paper cites Definability patterns and their symmetries.

Relative Property (T), simplices of invariant measures, and existentially closed models Definability patterns and their symmetries

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-11T00:41:21.531835Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c6379514-f90c-4078-8262-a57023b345c8 · outbound

This paper cites Ibarluc\' a, Infinite-dimensional P olish groups and P roperty ( T ) , Invent.

Relative Property (T), simplices of invariant measures, and existentially closed models Ibarluc\' a, Infinite-dimensional P olish groups and P roperty ( T ) , Invent

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:22.040065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2ac45b3d-cb1a-4909-b16d-60dd8566136d · outbound

This paper cites Ioana, P.

Relative Property (T), simplices of invariant measures, and existentially closed models Ioana, P

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:22.025146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1a2b60c6-068f-4292-bb73-18264e484a73 · outbound

This paper cites Ibarluc\' a and T.

Relative Property (T), simplices of invariant measures, and existentially closed models Ibarluc\' a and T

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:22.011118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d6460ed2-f05c-47a9-82a1-c0b3c8a348c4 · outbound

This paper cites Jolissaint, On property ( T ) for pairs of topological groups , Enseign.

Relative Property (T), simplices of invariant measures, and existentially closed models Jolissaint, On property ( T ) for pairs of topological groups , Enseign

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:21.996187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9a104a40-ffa6-4df7-82f0-8d4bf907371c · outbound

This paper cites Kallenberg, Probabilistic symmetries and invariance principles, Probability and its Applications (New York), Springer, New York, 2005.

Relative Property (T), simplices of invariant measures, and existentially closed models Kallenberg, Probabilistic symmetries and invariance principles, Probability and its Applications (New York), Springer, New York, 2005

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:21.981978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b4700160-82cd-48ed-8292-b108eb02f693 · outbound

This paper cites an unresolved cited work.

Relative Property (T), simplices of invariant measures, and existentially closed models Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-11T00:41:21.559416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d73b1970-15cf-4d43-a799-fe3a9b3b3efe · outbound

This paper cites 160, American Mathematical Society, Providence, RI, 2010.

Relative Property (T), simplices of invariant measures, and existentially closed models 160, American Mathematical Society, Providence, RI, 2010

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-11T00:41:21.563708Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8bdf4c51-70b9-43e0-abd9-d5210d27db77 · outbound

This paper cites Lindenstrauss, G.

Relative Property (T), simplices of invariant measures, and existentially closed models Lindenstrauss, G

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:21.944349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b9793106-dd24-4e91-be84-9ce580c94e5b · outbound

This paper cites an unresolved cited work.

Relative Property (T), simplices of invariant measures, and existentially closed models Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-11T00:41:21.929350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 51bff7ed-6557-47e0-a476-bcabff811922 · outbound

This paper cites an unresolved cited work.

Relative Property (T), simplices of invariant measures, and existentially closed models Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-11T00:41:21.914682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 22173bda-4a64-48ff-af21-38cc1902fed7 · outbound

This paper cites an unresolved cited work.

Relative Property (T), simplices of invariant measures, and existentially closed models Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-11T00:41:21.898794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b726463f-4f23-4482-b36a-225ff2a96c2b · outbound

This paper cites Ramsay, Virtual groups and group actions, Advances in Math.

Relative Property (T), simplices of invariant measures, and existentially closed models Ramsay, Virtual groups and group actions, Advances in Math

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:21.880275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bb137fd6-1252-4df8-8147-307b621e12cb · outbound

This paper cites Simons, Extended and sandwich versions of the H ahn- B anach theorem , J.

Relative Property (T), simplices of invariant measures, and existentially closed models Simons, Extended and sandwich versions of the H ahn- B anach theorem , J

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:21.861113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c31c5b31-cdc1-4876-b245-c2b6df1312bc · outbound

This paper cites Invariant trace simplices and relative property (T).

Relative Property (T), simplices of invariant measures, and existentially closed models Invariant trace simplices and relative property (T)

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-08-11T00:41:21.655628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e483537f-1bfb-4ae9-b986-9e2e67447313 · outbound

This paper cites Tsankov, Unitary representations of oligomorphic groups, Geom.

Relative Property (T), simplices of invariant measures, and existentially closed models Tsankov, Unitary representations of oligomorphic groups, Geom

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:21.844900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 384f147f-7d8c-46d3-8c95-b57719580dad · outbound

This paper cites Vesterstr m, On open maps, compact convex sets, and operator algebras, J.

Relative Property (T), simplices of invariant measures, and existentially closed models Vesterstr m, On open maps, compact convex sets, and operator algebras, J

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:21.827835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1a06ba0e-af43-42c1-b7e7-83379b45cefe · outbound

This paper cites Villadsen, The range of the E lliott invariant , J.

Relative Property (T), simplices of invariant measures, and existentially closed models Villadsen, The range of the E lliott invariant , J

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:41:21.807337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.