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Paper Citation Record · LEDGER

On the simplicity of Katsura algebras

As of 22 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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:54a1f5d711fb237847787f979b46e50e7d62e899b9e8d56936ddffd20e7be0eb

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:89edf2e899cc0f2e6210cd7a6d3ac5b403dc1f20ec4ba6c70bcb9a773745b0b3

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:8bbdc3bacbed26aec8073cf2aa2314f5f96cea7fb5325ca8324fdd4e11cf26f9

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:6c492ca157addb885b4039ebe9239983144b801d74057e2cb6a96e2d66da38a4

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:feb5a880d04f03af2399bc2e1c04e1f73e3fd90f78cd75b1faf371ffb76d2031

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:4469881318b603d41e757386e54ba1de5ab57d9bf602a74f45616bf235ccdb5e

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:910fcee847a0649d8fe55d0f2b5d7cd7b9760a021b1ba0c84ffb17e48dc3f64a

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:ced3338aff44397e9ecc161da3643b3beeccf996237e3f6a212d46a1389aab4a

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:9a51425e578e9e130ff63db7ce46deb8d51c751a83082f9cc10acde6d7a3f066

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:df24eb00d1a4a5275c432591cb51350b5ff0d8cd0b1aa9eb292036253451e448

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:86394cb23e3a165f453b3d667f4743c274301c6ffb15d37a0bde554b97872964

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:1faa8eb90619ab2f25f529dfadd9fe8cc66bd42210e1237e97138931c625174f

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:383baf8eb4cf27dfb3b8f8a9f97b4c4b5012647cb68838b3cf26db72b380e2dd

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:edb648586e4ce5e83cef646407ec50bf89f54a4341eb3a18a803ac054539591c

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:6a148a19163794c9cd49ea87f258c5aea3c8e535f9906225dfb51f2fbb06e123

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:efe580cc9824e682707a158e9d8c7487473a0d57e8048e71b896456d174c7645

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:0642c9807262fb7338288ee03aa7ca1fe1a76506974dade93e6a09dc14e54a48

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:a5f0b9293749c8141d3fb157662f63a4af37650314298593d952a9f293c34d6e

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

Resolution
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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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:640c5e9b65e2a96b634d14e3677b7de71fce5895728bda47ce067598026ce08d

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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raw_fallback, observed 2026-07-09T17:16:23.975700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:b41d4d3aa227717a3d3dfea27d79edd530e132e0006c345da6d8b3cd18721de5

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
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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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:7a178c21623867563dfb11ce27b3290a91ec37b9cd9995851d898b24923b8427

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:a6cb5f6ddfb55bee1f9141301c0cf73c63ea9c1656ce5c2b7b4e8aca7d83582c

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:d3fc04c947ccd5ba69bcb42aba2956c03be5d6b0691eb5361453c97cb702f915

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-09T17:09:32.210782Z digest=sha256:a16d025afe12e94e43af9b7a5ef84876c035dd463941e10fd1c5264021f0eeb7

Pith citing papers

No inbound Pith citation observations are available.