Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T12:36:11.117223Z
Paper Citation Record · LEDGER
Non-uniform higher-rank lattices are character rigid
As of 10 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2507.21862.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
46 of 46 outbound references displayed
- verified exact1
- verified fuzzy20
- unresolved25
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 16092bdc-ed64-45c6-b197-feec691c8292 · outbound
This paper cites 3, 465–488.
Non-uniform higher-rank lattices are character rigid 3, 465–488
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:36:18.287155Z
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.
Observation 6614e648-de20-4e45-8931-ea83153ac927 · outbound
This paper cites an unresolved cited work.
Non-uniform higher-rank lattices are character rigid Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:36:18.163627Z
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.
Observation 17dac3e2-22d8-43f7-b927-5f8994988af8 · outbound
This paper cites an unresolved cited work.
Non-uniform higher-rank lattices are character rigid Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:36:17.950316Z
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.
Observation 619ca017-8b0d-40c3-959b-c85a0598dd74 · outbound
This paper cites an unresolved cited work.
Non-uniform higher-rank lattices are character rigid Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:36:17.731932Z
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.
Observation 136f7f67-0dc1-44cc-adeb-86c7973c66be · outbound
This paper cites Spectral gap for products and a strong normal subgroup theorem.
Non-uniform higher-rank lattices are character rigid Spectral gap for products and a strong normal subgroup theorem
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T12:36:08.490850Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3ac00d07-c4cc-4763-86e4-c4bf5fdca52e · outbound
This paper cites an unresolved cited work.
Non-uniform higher-rank lattices are character rigid Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:36:17.557849Z
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.
Observation f557e7de-0fa4-451c-bce5-dd305f442f63 · outbound
This paper cites an unresolved cited work.
Non-uniform higher-rank lattices are character rigid Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:36:17.393093Z
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.
Observation d16a5223-e1d3-4e1b-b8fc-f6b6ea768026 · outbound
This paper cites an unresolved cited work.
Non-uniform higher-rank lattices are character rigid Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:36:17.230985Z
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.
Observation 9279f6d6-c688-4974-a8b1-922555c26e44 · outbound
This paper cites 126, Springer Science & Business Media, 2012.
Non-uniform higher-rank lattices are character rigid 126, Springer Science & Business Media, 2012
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:36:16.954120Z
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.
Observation b333b085-380f-4bda-b238-5314cad491d2 · outbound
This paper cites 96, Cambridge University Press, 1984, pp.
Non-uniform higher-rank lattices are character rigid 96, Cambridge University Press, 1984, pp
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:36:16.674893Z
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.
Observation 1d36ad8e-ebcf-4cf7-8d58-c901feebeaad · outbound
This paper cites Conditional Non-Soficity of p-adic Deligne Extensions: on a Theorem of Gohla and Thom.
Non-uniform higher-rank lattices are character rigid Conditional Non-Soficity of p-adic Deligne Extensions: on a Theorem of Gohla and Thom
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T12:36:08.913704Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f4da1b9d-caf1-43fe-ab1c-05b251ab73e7 · outbound
This paper cites 26, Cambridge University Press, Cambridge, 2015.
Non-uniform higher-rank lattices are character rigid 26, Cambridge University Press, Cambridge, 2015
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:36:16.303798Z
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.
Observation 3f268feb-4e67-441e-a903-ed8119a0cde3 · outbound
This paper cites an unresolved cited work.
Non-uniform higher-rank lattices are character rigid Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:36:16.004338Z
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.
Observation 77722c0c-0ac4-44d2-9c3d-945438c080a6 · outbound
This paper cites Characters of diagonal products and Hilbert-Schmidt stability.
Non-uniform higher-rank lattices are character rigid Characters of diagonal products and Hilbert-Schmidt stability
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T12:36:09.058242Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f0ef615c-0c8e-4de6-b4c1-683f6d2dd807 · outbound
This paper cites Hyperlinearity, stability and asymptotic spectral gap of higher rank lattices.
Non-uniform higher-rank lattices are character rigid Hyperlinearity, stability and asymptotic spectral gap of higher rank lattices
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T12:36:09.122829Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6fae70cf-012f-449e-8c98-e95c924733cb · outbound
This paper cites W*-superrigidity for groups with infinite center.
Non-uniform higher-rank lattices are character rigid W*-superrigidity for groups with infinite center
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T12:36:09.172941Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4e24d24d-000a-4fa4-9e1a-7fd685fb5c7f · outbound
This paper cites an unresolved cited work.
Non-uniform higher-rank lattices are character rigid Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:36:15.699418Z
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.
Observation d8fd13f1-b8a9-4ab4-b475-2435431bf015 · outbound
This paper cites an unresolved cited work.
Non-uniform higher-rank lattices are character rigid Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:36:15.402705Z
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.
Observation 68ef6a57-1a2c-444d-97b2-930592801c0a · outbound
This paper cites Things we can learn by considering random locally symmetric manifolds.
Non-uniform higher-rank lattices are character rigid Things we can learn by considering random locally symmetric manifolds
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T12:36:11.259451Z
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.
Observation ff0e0c91-5cee-4e22-aae2-b9aa5603cac3 · outbound
This paper cites 3, 1503–1544.
Non-uniform higher-rank lattices are character rigid 3, 1503–1544
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:36:15.136887Z
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.
Observation 09272a19-b2d3-4bf3-8042-ce89e3dfc4cc · outbound
This paper cites an unresolved cited work.
Non-uniform higher-rank lattices are character rigid Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:36:14.853378Z
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.
Observation 96661738-ffac-42da-9533-0b4a758599db · outbound
This paper cites High-dimensional expansion and soficity of groups.
Non-uniform higher-rank lattices are character rigid High-dimensional expansion and soficity of groups
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T12:36:09.587376Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ae7ede88-4932-4d2a-89a5-232bbdb1ac85 · outbound
This paper cites an unresolved cited work.
Non-uniform higher-rank lattices are character rigid Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:36:14.571259Z
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.
Observation 7d066dd5-f326-40aa-8c68-668cf501d4d8 · outbound
This paper cites Jones, Ten problems, Mathematics: frontiers and perspectives, 2000.
Non-uniform higher-rank lattices are character rigid Jones, Ten problems, Mathematics: frontiers and perspectives, 2000
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:36:14.316111Z
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.
Observation 1f57553f-81d2-4847-889a-c6aa7b9b8cf8 · outbound
This paper cites 2, 349–372.
Non-uniform higher-rank lattices are character rigid 2, 349–372
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:36:14.124336Z
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.
Observation 4258a76b-0bdc-4697-a5a1-2e646f7e647d · outbound
This paper cites 162, Russian Academy of Sciences, 1965, pp.
Non-uniform higher-rank lattices are character rigid 162, Russian Academy of Sciences, 1965, pp
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:36:13.904412Z
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.
Observation ca3019f7-fb1e-4c4d-a745-07c3d5381559 · outbound
This paper cites an unresolved cited work.
Non-uniform higher-rank lattices are character rigid Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:36:13.749507Z
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.
Observation 0cf4341a-fb59-48bb-a8cf-cad599dc2687 · outbound
This paper cites an unresolved cited work.
Non-uniform higher-rank lattices are character rigid Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:36:13.636742Z
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.
Observation b4292163-f874-408b-aec9-02ffc04b6aee · outbound
This paper cites 3, 3181–3229.
Non-uniform higher-rank lattices are character rigid 3, 3181–3229
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:36:13.520081Z
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.
Observation bce24dab-cb9e-4f82-8ee1-bec69c11fee5 · outbound
This paper cites 4, 295–305.
Non-uniform higher-rank lattices are character rigid 4, 295–305
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:36:13.291629Z
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.
Observation 79c9ef0c-02bf-452b-ba22-bb4e8745f770 · outbound
This paper cites 3, 178–187.
Non-uniform higher-rank lattices are character rigid 3, 178–187
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:36:13.190879Z
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.
Observation cb04260b-4615-4cfc-b87e-6922cac6a36b · outbound
This paper cites 17, Springer-Verlag, Berlin, 1991.
Non-uniform higher-rank lattices are character rigid 17, Springer-Verlag, Berlin, 1991
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:36:13.120030Z
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.
Observation e412090d-f921-4207-9295-b2a91fb28e29 · outbound
This paper cites an unresolved cited work.
Non-uniform higher-rank lattices are character rigid Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:36:12.948451Z
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.
Observation 1bef0c26-620b-4fd7-88cd-718fa5944c8b · outbound
This paper cites Reine Angew.
Non-uniform higher-rank lattices are character rigid Reine Angew
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:36:12.838142Z
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.
Observation 9d03ff76-a4cf-40a7-aecf-780627004c36 · outbound
This paper cites an unresolved cited work.
Non-uniform higher-rank lattices are character rigid Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:36:12.703965Z
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.
Observation 227bf17e-94ae-4fa3-a5f9-a209a76bfd2e · outbound
This paper cites 3, 213–231.
Non-uniform higher-rank lattices are character rigid 3, 213–231
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:36:12.569471Z
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.
Observation 3d2fc54b-230a-408b-a8bc-24cd1a7721f5 · outbound
This paper cites Springer, Linear algebraic groups, Modern Birkh¨ auser Classics, Birkh¨ auser Boston, 2010.
Non-uniform higher-rank lattices are character rigid Springer, Linear algebraic groups, Modern Birkh¨ auser Classics, Birkh¨ auser Boston, 2010
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:36:12.443865Z
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.
Observation 6def32f3-a627-4584-9bdd-32107dea7a33 · outbound
This paper cites an unresolved cited work.
Non-uniform higher-rank lattices are character rigid Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:36:12.271207Z
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.
Observation e8bd5fa1-2b6e-4c61-9a72-520ff06c1985 · outbound
This paper cites 1, 40–61.
Non-uniform higher-rank lattices are character rigid 1, 40–61
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:36:12.167977Z
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.
Observation 22643403-f3bc-4216-be65-6e80af911907 · outbound
This paper cites 4, 389–402.
Non-uniform higher-rank lattices are character rigid 4, 389–402
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:36:12.064290Z
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.
Observation f5cbb274-6cc2-4223-a77b-9c48a45e86cb · outbound
This paper cites 2, 111–138.
Non-uniform higher-rank lattices are character rigid 2, 111–138
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:36:11.921576Z
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.
Observation 05f20628-8b43-4917-b561-39b13596ffa8 · outbound
This paper cites an unresolved cited work.
Non-uniform higher-rank lattices are character rigid Unresolved cited work
Reference 42
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:36:11.834104Z
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.
Observation 2f5946da-3de3-44be-b026-247b6c24d91b · outbound
This paper cites 1, 193–212.
Non-uniform higher-rank lattices are character rigid 1, 193–212
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:36:11.729157Z
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.
Observation 1e11df34-a608-4525-bfb4-128b8ef3f2c6 · outbound
This paper cites an unresolved cited work.
Non-uniform higher-rank lattices are character rigid Unresolved cited work
Reference 44
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:36:11.642393Z
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.
Observation 85df5dc0-6829-44be-acfe-5aa30d4241e6 · outbound
This paper cites 257, Russian Academy of Sciences, 1981, pp.
Non-uniform higher-rank lattices are character rigid 257, Russian Academy of Sciences, 1981, pp
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:36:11.517876Z
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.
Observation d9ab7ee3-508d-4cf4-b3aa-f945d9f55a9a · outbound
This paper cites an unresolved cited work.
Non-uniform higher-rank lattices are character rigid Unresolved cited work
Reference 46
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:36:11.426667Z
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.
Pith citing papers
No inbound Pith citation observations are available.