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Paper Citation Record · LEDGER

On the simplicity of Katsura algebras

As of 9 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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:39716e241a14d8021e00abe51c52a61a25aa83394cdc60252fca91abf0128554

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

Resolution
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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:b0fdba40cf121ca551da7cff384eb3b4deb10c3ac004284ddbcd234702c5de29

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:75b96d792140da026d4e7a3cc99ca27f5c9a3c651709c850f7e3c09015e3615b

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:83cbff62a150e13c64e9c9d3120ee0636743b52f936e508f45b5a6b1fffe8607

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:b6e68e0b007a5dcf58a29f73dd1376f8f4fb1d182068e6a82ed55b093aae7597

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:dddfdf451c9529f208581e77b3254458ed93913ce450027d989254b1c86e8b0a

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:355078b78cfc1047f15bb20768d2a5d634443d219c8ec1a5e0b4a51408b870ec

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:9a3cd138d690e50bddcccce9e4abc065654a667549a88766ee96ec0f8d9b24d3

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:a3dbefe648166a42ef8d11e0c91f8e851eecb05005c02130a7402815013ea77b

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:2ed95d7946c7984c45c1e527ebf17169abb33f1eb8067004cac174495799ea37

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:9306736b7cabdde418af819d17b2e88859ff012d2b9d98a26de1bf05c92dbe13

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:44be5f57b4ac84fc011a3d998262d3e4003d5ba1dfe957f3286c131e59b997ab

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
verified fuzzy
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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:fc57637ea23d2eebee3722a38a610f4e382d7a5727fd3b23a41cf78f69c6da01

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
verified exact
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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:27fa9cde06c1f916a1c2d90ad74af2779261ceeadaa0708f0f68cfe91051a63b

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:bcb697a5dc91200a9cb5fd6937535cfd63dd0f88d45981af8cb01b07bbcc9ca4

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:8de31061fcad88368278132670885d7add51859f80125e673af0add6e14c62e2

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

Resolution
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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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:f9bb07aa56b792a9039653ee9d710fa31ed17aa4a1ddb458cde2595758f56db5

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
verified fuzzy
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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:2255eb61ea40ea3b72bfca7154fbbcd0f6d3642a8fa1f52be486b2275ba9fcd0

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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raw_fallback, observed 2026-07-09T17:16:23.972003Z

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=2026-07-09T17:09:32.210782Z digest=sha256:f542fc318b1c970c9e8cc86b8d0bf672a3eee5cfa7dee9f6bf9d98284a9759fc

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

Resolution
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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=2026-07-09T17:09:32.210782Z digest=sha256:cf89f698538ffbdc99c993b204a59f057458a2df536d221c3c6af1bc70f2c169

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

Resolution
unresolved
raw_fallback, observed 2026-07-09T17:16:23.964443Z

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=2026-07-09T17:09:32.210782Z digest=sha256:35b6f3c7f2b194f134f8e5534a516f53fb77499a1cfbf92bec0939f433a455ee

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:3b08a80616614921ab553505dc02f708684d2145e9e2a55b44559d8aa5cd68fa

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:090590a3bf2a02e44574331c11fdd619181a530ae3e89bc09d9cc7d1f778b119

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
verified fuzzy
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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:980410c31323e32afb21fd0c97916cc302eb1819acb6f2b1f6abd396ae890866

Pith citing papers

No inbound Pith citation observations are available.