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Paper Citation Record · LEDGER

On the simplicity of Katsura algebras

As of 10 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2607.07227.

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

pith.paper-citation-record.v1
2607.07227 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-09T17:09:32.210782Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

24 of 24 outbound references displayed

  • verified exact5
  • verified fuzzy17
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 87e1e3be-0248-43da-bebf-8471e6e8c0f6 · outbound

This paper cites SimplicityofalgebrasandC ∗-algebrasofself-similargroupoids.

On the simplicity of Katsura algebras SimplicityofalgebrasandC ∗-algebrasofself-similargroupoids

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T17:16:23.991179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:85e36864408db8874277aea28f2488db41afaa29543b2efbe3ea5c7a159918c7

Observation f41c22eb-a944-4980-b70a-63ced1b418dc · outbound

This paper cites On Hausdorff covers for non-Hausdorff groupoids.

On the simplicity of Katsura algebras On Hausdorff covers for non-Hausdorff groupoids

Reference 2

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verified exact
local_arxiv, observed 2026-07-09T17:16:23.184591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:6b5b9d99345aab1e758d07d63817275a587b06855a5e049f786029ffdfc23e5f

Observation a52200da-630e-4c36-9438-bf0fe24785af · outbound

This paper cites KK-duality for self-similar groupoid actions on graphs.

On the simplicity of Katsura algebras KK-duality for self-similar groupoid actions on graphs

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T17:16:23.985666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:c61d32d0907ce1e7c28461de9780477b278e12dd8083d09946cc7289cc6e6131

Observation 4d9da0aa-2709-4857-8391-2ce87c6305ab · outbound

This paper cites Simplicity of algebras associated to non-Hausdorff groupoids.

On the simplicity of Katsura algebras Simplicity of algebras associated to non-Hausdorff groupoids

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T17:16:23.987391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:3c4cdba894edb018991c329f8ce8dd172cba49c4a67df1a05c40614bb3908c7e

Observation a8d78351-f90a-4f76-8569-3a512cbf0499 · outbound

This paper cites Inverse semigroups and combinatorialC∗-algebras.

On the simplicity of Katsura algebras Inverse semigroups and combinatorialC∗-algebras

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T17:16:23.981853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:c59917db8954ee394e6da00016d108eae24f98b5e28af494f061b9301f4990f7

Observation 9572c5e6-9656-4655-acab-001319199686 · outbound

This paper cites Self-similar graphs, a unified treatment of Katsura and NekrashevychC ∗-algebras.

On the simplicity of Katsura algebras Self-similar graphs, a unified treatment of Katsura and NekrashevychC ∗-algebras

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T17:16:23.983523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:a6abb1f4a17ac03bc65786df5b4b5b09ff26730dd6852348d4f5f1856d95349e

Observation e9dac709-61ba-4a0c-a4c8-0b1acdaf0843 · outbound

This paper cites Simplicity ofC∗-algebras of contracting self-similar groups.

On the simplicity of Katsura algebras Simplicity ofC∗-algebras of contracting self-similar groups

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T17:16:23.979490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:d17b397a24fc94e7313bb9acc6c4fe91ec9b0f425495f1a1f89bb50b6f8874af

Observation 79bc4c6c-c442-4b3b-9d92-692c0d876fb0 · outbound

This paper cites Hume.On dense subalgebras of the singular ideal in groupoid C*-algebras.

On the simplicity of Katsura algebras Hume.On dense subalgebras of the singular ideal in groupoid C*-algebras

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-07-09T17:16:23.189791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:9e49f7e035756c543660677d399a7ff0f8b864b851e8c45213176f68fd892025

Observation 69dc6955-c3f9-442d-b92f-93f382ade3fb · outbound

This paper cites Characterizations of zero singular ideal in étale groupoid C*-algebras via compressible maps.

On the simplicity of Katsura algebras Characterizations of zero singular ideal in étale groupoid C*-algebras via compressible maps

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-07-09T17:16:23.198603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:dac55c391c47765cfcc684cc91e4b04bc5de127387056a92c9d701bcfa88ee37

Observation 1922d7d0-d9d0-4ecd-abd0-8f751845d938 · outbound

This paper cites Katsura-Exel-Pardo self-similar actions, Putnam’s binary factors and their limit spaces.

On the simplicity of Katsura algebras Katsura-Exel-Pardo self-similar actions, Putnam’s binary factors and their limit spaces

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T17:16:23.989706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:1bd176f434e60ff60445f71e7e6247c509d9d6f78811a53ef867b50b662b555f

Observation 23786067-c9c1-4ea2-83e0-7dd4c9df69ec · outbound

This paper cites A construction of actions on Kirchberg algebras which induce given actions on their K-groups.

On the simplicity of Katsura algebras A construction of actions on Kirchberg algebras which induce given actions on their K-groups

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T17:16:23.993475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:9d120e1a52104061c5872b1edf0b85372f62a02c35d83e5a2b6e412bd6846e4c

Observation fe46b65c-68bb-46e7-b2b8-b3532544d96e · outbound

This paper cites Essential crossed products for inverse semigroup actions: simplicity and pure infiniteness.

On the simplicity of Katsura algebras Essential crossed products for inverse semigroup actions: simplicity and pure infiniteness

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T17:16:23.974299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:f5e22c62e178a9e1e8f5b8ec6d7bebe97464563ac5352a6325ac56940c6c0b59

Observation 7b0797b0-28b7-4b54-b3dc-1577aae58224 · outbound

This paper cites Equilibrium states on operator algebras associated to self-similar actions of groupoids on graphs.

On the simplicity of Katsura algebras Equilibrium states on operator algebras associated to self-similar actions of groupoids on graphs

Reference 13

Resolution
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raw_fallback, observed 2026-07-09T17:16:23.977857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:82e6898597b8dc49ce78d771e28045de235624445cdc2c1f999cfaa0facb592a

Observation 26079bc5-e981-4157-b6f7-a0607562d0b5 · outbound

This paper cites arXiv: 2409.02359.

On the simplicity of Katsura algebras arXiv: 2409.02359

Reference 14

Resolution
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arxiv_id, observed 2026-07-09T17:16:23.194096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:d2d6ce24b93cd98bf965ffed338f132365302a2f8c450fbd6ec3f8baea303888

Observation cef620fd-210c-4904-8acc-47dc3a8d05dc · outbound

This paper cites Kwaśniewski.Twisted operator algebras of self-similar groupoid actions on arbitrary graphs.

On the simplicity of Katsura algebras Kwaśniewski.Twisted operator algebras of self-similar groupoid actions on arbitrary graphs

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-07-09T17:16:23.181211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:a77fa29150fb5be5578893ec213e9b84177581bc2dad3f34e6652e8abcafecbf

Observation f14df9bf-f40a-4009-8b19-e5a0d9111c79 · outbound

This paper cites C∗-algebras and self-similar groups.

On the simplicity of Katsura algebras C∗-algebras and self-similar groups

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T17:16:23.970394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:268640740322caca213a2b1e9612f1e41a95ab8569fe491f4996acd5305eb945

Observation d278355f-0d2a-40ac-af00-6b0aeee2e283 · outbound

This paper cites Mathematical surveys and monographs.

On the simplicity of Katsura algebras Mathematical surveys and monographs

Reference 17

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raw_fallback, observed 2026-07-09T17:16:23.966050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:d42b6a5c39dad60bdb7ae8278e3115a91e3ca5a52efbd4a45c81c1481c545f62

Observation e3490297-2008-4afb-934a-8fc962ff9c85 · outbound

This paper cites Katsura-Exel-Pardo groupoids and the AH conjecture.

On the simplicity of Katsura algebras Katsura-Exel-Pardo groupoids and the AH conjecture

Reference 18

Resolution
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raw_fallback, observed 2026-07-09T17:16:23.968482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:494fb0a54da4a1b473628fec55806ac1eb11fd09a9678249ec3f5737ea03bf78

Observation 8f88c074-f0e7-47da-ad32-4f749b9a3bcc · outbound

This paper cites The homology of the Katsura–Exel–Pardo groupoid.

On the simplicity of Katsura algebras The homology of the Katsura–Exel–Pardo groupoid

Reference 19

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:ac2079d9c9a391acf8b0594036055e706bad11d61241a99733e47fa9f5d5e021

Observation 0d0bc774-c924-4872-bd2c-9800f7c8667c · outbound

This paper cites an unresolved cited work.

On the simplicity of Katsura algebras Unresolved cited work

Reference 20

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:7d2faff3060f89e766f7e757146070eed34d292c9d53fa0cc2e4b17d79b8452b

Observation 77261f2e-7a62-4235-b9ee-c8931d63c8e0 · outbound

This paper cites an unresolved cited work.

On the simplicity of Katsura algebras Unresolved cited work

Reference 21

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 0dfe8294-8087-4821-908d-258e1d1618f5 · outbound

This paper cites A groupoid approach to discrete inverse semigroup al- gebras.

On the simplicity of Katsura algebras A groupoid approach to discrete inverse semigroup al- gebras

Reference 22

Resolution
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raw_fallback, observed 2026-07-09T17:16:23.962557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:1ac6421c4064d1c22bd1caa459b780bf4b096a284bbdf671917df226aefb469f

Observation 70d9137c-3130-45d2-b597-ce48954b8cab · outbound

This paper cites On the simplicity of Nekrashevych algebras of contracting self-similar groups.

On the simplicity of Katsura algebras On the simplicity of Nekrashevych algebras of contracting self-similar groups

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T17:16:23.958641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:41c0ba42fdf4bd8c057628bfa5303c49f916f30b39a18867aeaf5b34eda2c4b2

Observation b321c2dd-8db6-41cc-ae92-1d6855608c49 · outbound

This paper cites Simplicity of inverse semigroup and étale groupoid algebras.

On the simplicity of Katsura algebras Simplicity of inverse semigroup and étale groupoid algebras

Reference 24

Resolution
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raw_fallback, observed 2026-07-09T17:16:23.960868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:409524f60dcdcc6d70269e9a20afd4156083219e1e2d97d4bf21b5e5235ff700

Pith citing papers

No inbound Pith citation observations are available.