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Paper Citation Record · LEDGER

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras

As of 16 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2505.04857.

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

pith.paper-citation-record.v1
2505.04857 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:32:00.794388Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

25 of 25 outbound references displayed

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  • verified fuzzy22
  • unresolved3
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 08c33194-3a7c-4033-82f9-34b0930e1c58 · outbound

This paper cites Classifying $^*$-homomorphisms I: Unital simple nuclear $C^*$-algebras.

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras Classifying $^*$-homomorphisms I: Unital simple nuclear $C^*$-algebras

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-15T23:32:00.727142Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T23:32:00.727142Z digest=sha256:c7c6620e309195045894c4fb2d66420f500c6b0f701d6ca1b0ec2ec2c8bd0baa

Observation 5100a41f-62d5-4f96-8fea-3deeba00b769 · outbound

This paper cites Nuclear dimension of simple stably projectionless -algebras.

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras Nuclear dimension of simple stably projectionless -algebras

Reference 2

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verified fuzzy
raw_fallback, observed 2026-08-15T23:32:01.009759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T23:32:00.730757Z digest=sha256:507b99cb858dd67b522772ef9b8fcd63194d05eb2143c6b0a8b6940298b357f3

Observation 398231a3-f935-4208-a6c3-641d320a9267 · outbound

This paper cites Nuclear dimension of simple -algebras.

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras Nuclear dimension of simple -algebras

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T23:32:00.733667Z digest=sha256:459f89d0205c8f987a077a6f73e1242b4555a0f07e90f81932fe34829dbc30d3

Observation e60cfada-c4e8-45b4-b3a3-cf629aed8155 · outbound

This paper cites Elliott, Guihua Gong, Huaxin Lin, and Zhuang Niu.

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras Elliott, Guihua Gong, Huaxin Lin, and Zhuang Niu

Reference 4

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verified fuzzy
raw_fallback, observed 2026-08-15T23:32:00.992257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T23:32:00.736700Z digest=sha256:d0bddcb1dd5517472b1707a15d70555d3de0b74cb24ac68f98d84759b7f9b95b

Observation 72dc5753-235f-4e62-bdac-05b687dad859 · outbound

This paper cites Elliott, Guihua Gong, Huaxin Lin, and Zhuang Niu.

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras Elliott, Guihua Gong, Huaxin Lin, and Zhuang Niu

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T23:32:00.739935Z digest=sha256:ecd26df6e5a19d9c6629577f7c429b909089e9cbf1639631b400163e105cf28b

Observation 1cfa5d41-a565-4c43-ad82-1263245a5eb8 · outbound

This paper cites Loring, and Gert K.

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras Loring, and Gert K

Reference 6

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T23:32:00.742863Z digest=sha256:a474139d66c6e9ea96228fcd78e9b9962446d991f67cc1a365b0ac6b7eb6d337

Observation e021acc2-4bc6-4da8-bdcb-23ed2d5abf85 · outbound

This paper cites On classification of non-unital amenable simple -algebras, II.

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras On classification of non-unital amenable simple -algebras, II

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:32:00.969259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T23:32:00.745813Z digest=sha256:0d8bd13b2fa0a6dcb583c3478d1226cf57a5f95dcc721f980e8a9661145afce3

Observation d5def001-0a5b-4379-9bd6-5810703c6756 · outbound

This paper cites A classification of finite simple amenable Z -stable -algebras, I : -algebras with generalized tracial rank one.

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras A classification of finite simple amenable Z -stable -algebras, I : -algebras with generalized tracial rank one

Reference 8

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T23:32:00.748684Z digest=sha256:2bb420161ee5195375cdc6cbd23de4edf5e51a5b5e996b6ac5a5538b335b838b

Observation 4b225b9d-6e3e-4559-802e-b5b5cf5a7bd9 · outbound

This paper cites A classification of finite simple amenable Z -stable C ^* -algebras, II : C ^ -algebras with rational generalized tracial rank one.

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras A classification of finite simple amenable Z -stable C ^* -algebras, II : C ^ -algebras with rational generalized tracial rank one

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:32:00.953279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T23:32:00.751323Z digest=sha256:8fe04f08aeb77c1d73213c7fb42b42c0d726bef97e9165e226bc5e5e5c744aa5

Observation 322bd005-0795-4195-86de-4c117246bef3 · outbound

This paper cites The stable uniqueness theorem for equivariant Kasparov theory.

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras The stable uniqueness theorem for equivariant Kasparov theory

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-15T23:32:00.754085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T23:32:00.754085Z digest=sha256:c9d1f911d14d0507602b5622994a524bb106e80c2edd3fbcbbd0948c95cf47c3

Observation 51439a75-e92c-4410-add6-8e4a9c73b70f · outbound

This paper cites A simple, monotracial, stably projectionless -algebra.

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras A simple, monotracial, stably projectionless -algebra

Reference 11

Resolution
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raw_fallback, observed 2026-08-15T23:32:00.945512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T23:32:00.757056Z digest=sha256:223923762b349ad57463d0cfe14dd51a465989fef9ce283adadd62d1579eb783

Observation 94107e84-22a0-4fdd-84ba-b0837bbde681 · outbound

This paper cites ://www.uni-muenster.de/imperia/md/content/MathematicsMuenster/ekneu1.pdf.

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras ://www.uni-muenster.de/imperia/md/content/MathematicsMuenster/ekneu1.pdf

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:32:00.937877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T23:32:00.759546Z digest=sha256:66f99c6663bde5e3548f4e15dfbe8718b794a2d9fd6e68f805b182abcc00e949

Observation eefd3669-8ddc-4db1-9f4a-6264dfb5e446 · outbound

This paper cites Christopher Phillips.

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras Christopher Phillips

Reference 13

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T23:32:00.762421Z digest=sha256:49327b72022a7e7595991abbc0068cbc8a7bcdfbe66d543ffbac7e9933e1a045

Observation fb168cc0-0861-41cc-8ad9-380f6d252f73 · outbound

This paper cites Christopher Phillips.

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras Christopher Phillips

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:32:00.922442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T23:32:00.765017Z digest=sha256:442527f67b720364bf8c8b376ff895a66240e37b6384d4ceecf215e353b0c89b

Observation eeeadd85-87dc-47b1-bb3b-b366766b2224 · outbound

This paper cites Christopher Phillips.

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras Christopher Phillips

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:32:00.914832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T23:32:00.767671Z digest=sha256:7616e4f738661deaeafa0948df14508f4aa4f53e6466dbcce8ad97ccb33288c2

Observation 3ae6b19b-42ac-48b1-a8a2-88491cc27559 · outbound

This paper cites On the classification of simple stably projectionless -algebras.

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras On the classification of simple stably projectionless -algebras

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T23:32:00.770086Z digest=sha256:fdbeb81e4cd6c6ef6a07c4339c040745f6b2a321cbd8418c11f067f2fb7b8e89

Observation b2d056ea-91ef-46bf-9976-1ec0b190162f · outbound

This paper cites Classification of inductive limits of 1-dimensional NCCW complexes.

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras Classification of inductive limits of 1-dimensional NCCW complexes

Reference 17

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T23:32:00.772769Z digest=sha256:ab3e084449d01f931d6ec268f871a5eee7c7353cfdac10b586de1e0670c37aa3

Observation 87f5814a-6a26-40d3-957a-f5cd430854de · outbound

This paper cites The K \"unneth theorem and the universal coefficient theorem for K asparov's generalized K -functor.

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras The K \"unneth theorem and the universal coefficient theorem for K asparov's generalized K -functor

Reference 18

Resolution
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raw_fallback, observed 2026-08-15T23:32:00.890377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T23:32:00.775276Z digest=sha256:ca6efc8408ecbc8327532fe137ad6daca10fe97e2a2d40ff3f695c1e849ddd41

Observation af6ac2b0-ef37-42a9-8403-2980135bf8ae · outbound

This paper cites A revised augmented Cuntz semigroup.

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras A revised augmented Cuntz semigroup

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:32:00.881882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T23:32:00.777798Z digest=sha256:7c741256d642ebe4c1a42ce70b5c3db74a8d61b343bce700b371dd3cc68a7b20

Observation 5aad5bfc-1db8-4f84-8b3f-154af390d739 · outbound

This paper cites Classification of Nuclear -Algebras.

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras Classification of Nuclear -Algebras

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:32:00.873308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T23:32:00.780436Z digest=sha256:aefe43a398bcc332a0344acb77e52da98ea91d4f84ad4c0e63759805618b6b7b

Observation 2a087227-ac67-46ca-8c55-003d31d77bf9 · outbound

This paper cites KK-rigidity of simple nuclear C*-algebras.

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras KK-rigidity of simple nuclear C*-algebras

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-15T23:32:00.783449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T23:32:00.783449Z digest=sha256:1b2907bb1780bd0b280de7a651f8b50cd8d56852fef252f02b203b53ec62e219

Observation 0dd72b89-cbe9-4d88-b8df-612a619afd31 · outbound

This paper cites Une notion de nucl\'earit\'e en K -th\'eorie (d'apr\`es J .\ C untz).

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras Une notion de nucl\'earit\'e en K -th\'eorie (d'apr\`es J .\ C untz)

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:32:00.864727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T23:32:00.786438Z digest=sha256:470084c15431cf1b8340e76e50851cad12d144857d47fbcb17003fd3eee2251a

Observation 603c9fd9-81d0-4ee1-a0b4-fb61ee218fe0 · outbound

This paper cites The classification of R okhlin flows on -algebras.

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras The classification of R okhlin flows on -algebras

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:32:00.856371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T23:32:00.789130Z digest=sha256:7757c2ff789ad3b1b7f47641b8e07454525a947f123f1040a8ea020c58413ac5

Observation c3906dfd-5f09-4755-b27e-1c03014fa5c4 · outbound

This paper cites La conjecture de B aum- C onnes pour les feuilletages moyennables.

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras La conjecture de B aum- C onnes pour les feuilletages moyennables

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:32:00.848135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T23:32:00.791760Z digest=sha256:1d5b19100ce6b63526296062d9b41b2c509352d9481169fcdd22bd64156a500a

Observation 2d2b2fd2-bf07-48db-87f4-8158eeb694fc · outbound

This paper cites Quasidiagonality of nuclear -algebras.

A homotopy rigidity theorem for $\mathcal{Z}_0$-stable $\mathrm{C}^\ast$-algebras Quasidiagonality of nuclear -algebras

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:32:00.838401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T23:32:00.794388Z digest=sha256:e4429fd865421e36757721227869c590c14c6f22e4ac9af7d02277433dd0fcd0

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