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Paper Citation Record · LEDGER

Stability, approximable quotients, and higher property (T)

As of 9 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 2 inbound Pith citation observations for arXiv:2512.09180.

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

pith.paper-citation-record.v1
2512.09180 v2

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T17:37:15.090582Z

measured 19 of 19 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T16:34:13.988780Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-16T18:43:16.461233Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 803a2b0b-62d4-4240-b100-6a598d5fe7eb · outbound

This paper cites On $L^1$-approximation of groups.

Stability, approximable quotients, and higher property (T) On $L^1$-approximation of groups

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T17:37:13.884219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:37:13.884219Z digest=sha256:938f23a6d53d33c6a287a8bdef08d66e9c5e4c72933e3df135dc1869e0c48365

Observation 15b4f2a0-a20a-46b3-b563-ea191e7d8ade · outbound

This paper cites Infinite simple characteristic quotients.

Stability, approximable quotients, and higher property (T) Infinite simple characteristic quotients

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T17:37:14.208151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:37:14.208151Z digest=sha256:170bfba5a8f0a3871805ec6d8bb31719a26ac3cb262356cc507de67d4c393fe6

Observation f728d7ba-9242-4f08-80d6-0e195189b533 · outbound

This paper cites Chifan, A.

Stability, approximable quotients, and higher property (T) Chifan, A

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-03T17:37:14.284099Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:37:14.284099Z digest=sha256:3b7e890bb5e5388e5524f88e6fa7a68c408756c9ebe573f3d47f7d4ca1981a20

Observation efbd2a0b-e0a5-4148-bfac-4ab6d1ee3dce · outbound

This paper cites an unresolved cited work.

Stability, approximable quotients, and higher property (T) Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-03T17:37:14.364526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:37:14.364526Z digest=sha256:8947be41e56a61e86201b0b6f7330a24c0fc3981690c7d124f8e3c1ab5656489

Observation 393746d9-ce72-473d-93af-f8aec9b10378 · outbound

This paper cites Dadarlat,Obstructions to matricial stability of discrete groups and almost flat K-theory, Adv.

Stability, approximable quotients, and higher property (T) Dadarlat,Obstructions to matricial stability of discrete groups and almost flat K-theory, Adv

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-03T17:37:14.440193Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:37:14.440193Z digest=sha256:ac85e8894fe3aab475537892f454fa493a7dca1a6c5cc647942e6a0ad181e7ef

Observation beb4ba88-b69e-4742-b184-b22ec38752c4 · outbound

This paper cites Hyperlinearity, stability and asymptotic spectral gap of higher rank lattices.

Stability, approximable quotients, and higher property (T) Hyperlinearity, stability and asymptotic spectral gap of higher rank lattices

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-03T17:37:14.630556Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:37:14.630556Z digest=sha256:61f6dd786ca19720241b77137f16b28bcf65d21a4e47a9c2851501b2eb01458e

Observation 3c14da41-5358-408b-a08c-611bf3ed373f · outbound

This paper cites Eilers, T.

Stability, approximable quotients, and higher property (T) Eilers, T

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-03T17:37:14.741373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:37:14.741373Z digest=sha256:983a6336682f8dcd98e753eceb56363805932040ea6c51ce48abf6877c3b955e

Observation efa5a60d-e31f-4a9e-ad36-0304a8b5eb7f · outbound

This paper cites Becker and A.

Stability, approximable quotients, and higher property (T) Becker and A

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-03T17:37:14.017751Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:37:14.017751Z digest=sha256:23b8b34e80ead41a018afc23ba53b7966b155607046749d0fd174e9f5fd9ac8a

Observation 56545054-a894-4b14-a560-a9a451dc726c · outbound

This paper cites Glebe,Frobenius non-stability of nilpotent groups, Adv.

Stability, approximable quotients, and higher property (T) Glebe,Frobenius non-stability of nilpotent groups, Adv

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-03T17:37:14.915082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:37:14.915082Z digest=sha256:2b16455fb5d4fd36f30faec64b3849f66c59c4db605d013dd30089bd05ca9270

Observation 818e0988-6af6-41bd-9b34-06756a9a4bca · outbound

This paper cites Local permutation stability.

Stability, approximable quotients, and higher property (T) Local permutation stability

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-03T17:37:14.089529Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:37:14.089529Z digest=sha256:7ac55ddfa130105de6bce0988d16a14f21f20495f9dac98a2454a0689f66e964

Observation e3d73ba0-edc1-4152-aa5a-13a847ef5db5 · outbound

This paper cites Math.18(2025), no.

Stability, approximable quotients, and higher property (T) Math.18(2025), no

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-03T17:37:14.977021Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:37:14.977021Z digest=sha256:2749a4072f9a49cef9ae50d818d1524d611d2b21d124fac9a6f5740b815dae6f

Observation 306d24d6-db70-4275-a7d1-38da8bea68cf · outbound

This paper cites De Chiffre, L.

Stability, approximable quotients, and higher property (T) De Chiffre, L

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-03T17:37:14.514574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:37:14.514574Z digest=sha256:c4f39d12ceadfdde71bc20cddac38dc5a751b93cbd6812d42045f727759e65a5

Observation 68a3526c-4cf5-4ff7-9276-2ad769ede177 · outbound

This paper cites de Cornulier, L.

Stability, approximable quotients, and higher property (T) de Cornulier, L

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-03T17:37:14.575375Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:37:14.575375Z digest=sha256:10dc30569dbc8427c45a51fd5269c6e8320109d21e338116b207b94e5f27765e

Observation 3403e6d3-13c7-41d9-8774-9e20ba0cf0c3 · outbound

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

Stability, approximable quotients, and higher property (T) Dimensions of finitely generated simple groups and their subgroups

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-03T17:37:14.826513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:37:14.826513Z digest=sha256:7800acfb1a3958490244eb81d827afe120d767146a6b83bd9714f8b4a43b3d4a

Observation 9b58e420-de87-4f08-9008-8ad1cb29390d · outbound

This paper cites R˘ adulescu,The von Neumann algebra of the non-residually finite Baumslag group xa, b|ab3a´1 “b 2yembeds intoR ω, Hot topics in operator theory, Theta Ser.

Stability, approximable quotients, and higher property (T) R˘ adulescu,The von Neumann algebra of the non-residually finite Baumslag group xa, b|ab3a´1 “b 2yembeds intoR ω, Hot topics in operator theory, Theta Ser

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-03T17:37:15.090582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:37:15.090582Z digest=sha256:1fe916d2eb0ec5a5cab12b0a489731134f1fcc63c870bc5d40b23b37837dc42b

Observation 48585de8-311c-49b6-9343-7a0b3bed92d7 · outbound

This paper cites an unresolved cited work.

Stability, approximable quotients, and higher property (T) Unresolved cited work

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-03T17:37:14.150068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:37:14.150068Z digest=sha256:eeb620f4b02595417e5139822e3568aead7d1a098ef397d936af2ce7ebfe15c7

Observation 929aa825-a896-42eb-af55-2ab29907036e · outbound

This paper cites Bader, T.

Stability, approximable quotients, and higher property (T) Bader, T

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-03T17:37:13.927791Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:37:13.927791Z digest=sha256:cd99d214520f82014d948e1435dcdba7571ffa395080fe7ab0d5749ea62cd8f2

Pith citing papers

Observation d1654be3-93fb-48e0-9afd-9c3f12519be5 · 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 Stability, approximable quotients, and higher property (T)

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-06-09T03:08:03.001400Z

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.

source=pdf_text observed=2026-05-16T18:42:56.897444Z digest=sha256:d42c13fe6b3b95659ece8ebf8de1b7bdb76e67271cdb631e4da3255d4a246472

Observation 699f3dfc-ac11-4d63-8e91-19cde1775feb · inbound

A torsion-free non-sofic group cites this paper.

A torsion-free non-sofic group Stability, approximable quotients, and higher property (T)

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-04T16:34:13.988780Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T16:34:13.988780Z digest=sha256:8c2fa1926f525704d016f568ee3a52f918bd0b0c117baea41f7de3327fc29f83