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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=sha256:73994dd45685d4af2c4b99f238338c8558326e718763ffdf30b5f689a14e5290

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

Resolution
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=sha256:7342d5afeec305469dfe6acd9f075dec5ccdd9b2af84a10680ca2e9de808de15

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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raw_fallback, observed 2026-08-15T23:32:01.001570Z

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=sha256:4e7e754d4113daa4afc206db7e9b7e57b39aba2b7c1fe7eabcb40f36cbcc3323

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

Resolution
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=sha256:0c1820c1b4dc7b5a95e8ae4c3be8154eb4985e98cc0ce55efebf28ca9063c021

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
raw_fallback, observed 2026-08-15T23:32:00.984474Z

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=sha256:846303fff727cd97aaab322516c92210341c59b7c73f778ece5cdeeb9632d4bf

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:c8a2b2b35e9580cb212e1667bcdd271cc0fed4550d5713ebc06eee46080866f6

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:a3f5d72bc8b38d7378c32d92768c4350f65d2adcd7e036049c6ed69b83d841ef

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
raw_fallback, observed 2026-08-15T23:32:00.960968Z

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:fc28b755931d474387d9cb1d1de97d68213e244df20c715d78b6b4d90eccb520

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:deebb0c97ccc219a3aaf370f5138670b624b16d66229fe30eee05d738eed3d8e

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=sha256:455441425089127ae6755f12371004b01a69785db9e718d77955749f0aef5ae4

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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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=sha256:642e3af74842e898c2bf2c1cb9ad2e6a0eead48c43b5b23c8c0ded86224a068a

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
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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=sha256:7d45cb0e62a97186a3db92a7f14dcaaa7a6cd751cc756090815d07c24dacefc9

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

Resolution
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raw_fallback, observed 2026-08-15T23:32:00.930001Z

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=sha256:1d67e4be45030fdcccb9ce4c58cbb70240db019aa0d54fd1d0823322d8be0cc6

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=sha256:5627ee6abda9865eefa7bd5f50cd4a4b1f2b43dffb6b758b4544778ae6535bb2

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:d88f6e2a82070b5fe12244850b72b4be2d8eb2143ea98e7d6c9d3d8540b7f1e7

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=sha256:1742d2eb8776f0e4a81b0798aae84beb8b362251f584263e4fe025e0f07dc35a

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

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=2026-08-15T23:32:00.772769Z digest=sha256:5f17f8c79a69b7f1bcaca848915cd8304d6852382cb1ff51d3ea7c716f0086de

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
verified fuzzy
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=sha256:8641e63c581739c53c37cad356943dc41dc2533326be3453ba17ace66dbd7961

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=sha256:11ca5175160a992ad186efc773e18796e9f7847c64e26c5e95d3af3256447f0f

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:e5687bc54060ab2d7e4848963c099ccb1c4d13c45ed4831a120b500966c5f7d5

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:a8e7f79e0f48f7e61055a2e6920b2812ff6400b9514327264ffeb970729b7735

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:ff331de042ad4c08483491a63aa4b8df7c941989e6547b79e2aa1c7a97c89e34

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=sha256:11ecc740c73406990069e750a3967c373d5bd2196747f2fd0ad372748c25e679

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:eaec769d2f205ab088a6ac2c937d1950873cd1ab6232ab6002854163e61bbaff

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=sha256:90adc869812d17ec91d874e0a5c623ebb0d6345e5b4f6f1aba2d7370472535eb

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