Paper Citation Record · LEDGER

Paradoxical decompositions of finite-dimensional non-Archimedean normed spaces

As of 8 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2506.01528.

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

pith.paper-citation-record.v1
2506.01528 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:55:39.350059Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

15 of 15 outbound references displayed

verified exact1
verified fuzzy12
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0e75041d-399e-4f80-9b07-e910d7ca8235 · outbound

This paper cites Banach and A.

Paradoxical decompositions of finite-dimensional non-Archimedean normed spaces Banach and A

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:55:43.431565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4e6d1965-f5a7-4232-bd0e-0daebd4d7116 · outbound

This paper cites Breuillard, B.

Paradoxical decompositions of finite-dimensional non-Archimedean normed spaces Breuillard, B

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:55:43.118386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f86b20e2-9e6a-4297-b17c-dbcd54d4e684 · outbound

This paper cites Hausdorff , Grundz \"u ge der Mengenlehre , Veit and Company, Leipzig, 1914.

Paradoxical decompositions of finite-dimensional non-Archimedean normed spaces Hausdorff , Grundz \"u ge der Mengenlehre , Veit and Company, Leipzig, 1914

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:55:42.725407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 718b170d-3570-4512-b26a-a5109e707b0f · outbound

This paper cites Jarosz , Any B anach space has an equivalent norm with trivial isometries , Israel J.

Paradoxical decompositions of finite-dimensional non-Archimedean normed spaces Jarosz , Any B anach space has an equivalent norm with trivial isometries , Israel J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:55:42.411395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 85607ddf-32a3-4643-9a74-38c90c4af730 · outbound

This paper cites Juschenko , Amenability of discrete groups by examples , American Mathematical Society, Providence, RI, 2022.

Paradoxical decompositions of finite-dimensional non-Archimedean normed spaces Juschenko , Amenability of discrete groups by examples , American Mathematical Society, Providence, RI, 2022

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:55:42.147631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 28a73474-7403-4759-b6f5-307bdc6dec95 · outbound

This paper cites Lubotzky and D.

Paradoxical decompositions of finite-dimensional non-Archimedean normed spaces Lubotzky and D

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:55:41.896550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 825360a7-3d93-44c9-bf02-308e355fd7c4 · outbound

This paper cites Magnus , Rational representations of F uchsian groups and non-parabolic subgroups of the modular group , Nachr.

Paradoxical decompositions of finite-dimensional non-Archimedean normed spaces Magnus , Rational representations of F uchsian groups and non-parabolic subgroups of the modular group , Nachr

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:55:41.660811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 02142ecb-b012-40d5-b68e-2451835592c2 · outbound

This paper cites The Banach-Tarski paradox for some subsets of finite-dimensional normed spaces over non-Archimedean valued fields.

Paradoxical decompositions of finite-dimensional non-Archimedean normed spaces The Banach-Tarski paradox for some subsets of finite-dimensional normed spaces over non-Archimedean valued fields

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:55:39.580079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7dbeb5c7-ac7c-4553-95de-412aa003f390 · outbound

This paper cites Perez-Garcia and W.

Paradoxical decompositions of finite-dimensional non-Archimedean normed spaces Perez-Garcia and W

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:55:41.304128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4e98abf5-54a7-4751-b57e-5ee3fbeadcce · outbound

This paper cites an unresolved cited work.

Paradoxical decompositions of finite-dimensional non-Archimedean normed spaces Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:55:41.069918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c3ec69a6-ab2a-4616-932c-010b255b09c4 · outbound

This paper cites Sat\^ o , A locally commutative free group acting on the plane , Fund.

Paradoxical decompositions of finite-dimensional non-Archimedean normed spaces Sat\^ o , A locally commutative free group acting on the plane , Fund

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:55:40.831961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 33518d7b-e550-4701-b6e9-f4c72b8578b6 · outbound

This paper cites an unresolved cited work.

Paradoxical decompositions of finite-dimensional non-Archimedean normed spaces Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:55:40.574786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c59088e9-50ad-4a4c-9095-480419a147bf · outbound

This paper cites Schneider , Nonarchimedean functional analysis , Springer Monographs in Mathematics, Springer-Verlag, Berlin, 2002.

Paradoxical decompositions of finite-dimensional non-Archimedean normed spaces Schneider , Nonarchimedean functional analysis , Springer Monographs in Mathematics, Springer-Verlag, Berlin, 2002

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:55:40.342583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8b57e730-4baf-47d6-a801-978622baa600 · outbound

This paper cites Tits , Free subgroups in linear groups , J.

Paradoxical decompositions of finite-dimensional non-Archimedean normed spaces Tits , Free subgroups in linear groups , J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:55:40.163101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ff922a52-c88e-431a-b6a2-1e0d77710f68 · outbound

This paper cites Tomkowicz and S.

Paradoxical decompositions of finite-dimensional non-Archimedean normed spaces Tomkowicz and S

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:55:39.843205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.