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Paper Citation Record · LEDGER

Ulam stability for classes of nuclear C*-algebras

As of 15 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 2 inbound Pith citation observations for arXiv:2606.03757.

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

pith.paper-citation-record.v1
2606.03757 v1

Coverage vector

measured 43 of 43 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-28T07:13:33.888658Z

measured 45 of 45 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T12:31:46.276521Z

measured 0 of 1 external citation measurements

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Source: pith, observed 2026-07-02T20:37:22.771146Z

Reference resolution

43 of 43 outbound references displayed

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Outbound references

Observation a0542ada-6551-482e-9c9e-ba650f4af386 · outbound

This paper cites Ando and M.

Ulam stability for classes of nuclear C*-algebras Ando and M

Reference 1

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Observation c5f65c46-f7b8-4760-ab29-341065311752 · outbound

This paper cites Arveson,Notes on extensions of C*-algebras, Duke Math.

Ulam stability for classes of nuclear C*-algebras Arveson,Notes on extensions of C*-algebras, Duke Math

Reference 2

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Observation 35143f31-02e9-4057-9800-7ca2d92b80aa · outbound

This paper cites Aupetit,A primer on spectral theory, Universitext, Springer, New York, 1991.

Ulam stability for classes of nuclear C*-algebras Aupetit,A primer on spectral theory, Universitext, Springer, New York, 1991

Reference 3

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Observation ab35d4d5-3573-478d-8360-601433966233 · outbound

This paper cites Blackadar,Operator algebras, Encyclopaedia of Mathematical Sciences, vol.

Ulam stability for classes of nuclear C*-algebras Blackadar,Operator algebras, Encyclopaedia of Mathematical Sciences, vol

Reference 4

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:6b596bec33eb0277f7f6e1706329a5763e65e96c278089e13d50a0e91f4f4eaf

Observation 8dd9d4d0-30ac-48f3-9142-0aac3f911cad · outbound

This paper cites Burger, N.

Ulam stability for classes of nuclear C*-algebras Burger, N

Reference 5

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Observation bf6258ac-d706-46bf-abb0-f4d9faa4d113 · outbound

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

Ulam stability for classes of nuclear C*-algebras Classifying $^*$-homomorphisms I: Unital simple nuclear $C^*$-algebras

Reference 6

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Observation abb04c9c-986f-4b84-8bce-aa8f80a70d1d · outbound

This paper cites Choi,A Schwarz inequality for positive linear maps on C ∗-algebras, Ill.

Ulam stability for classes of nuclear C*-algebras Choi,A Schwarz inequality for positive linear maps on C ∗-algebras, Ill

Reference 7

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:74e51a4235122dd74eec6816a9cfa8a2c96a8a457e295f242ccb5453ca581b06

Observation e105a38b-5414-4bc6-9cf0-ff978e313018 · outbound

This paper cites Choi and E.

Ulam stability for classes of nuclear C*-algebras Choi and E

Reference 8

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Observation 122bd49b-285e-4c2c-9ed9-dcfcc2855f05 · outbound

This paper cites Christensen, A.M.

Ulam stability for classes of nuclear C*-algebras Christensen, A.M

Reference 9

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Observation 44a4205d-5d35-4d98-86ac-fcf49f6b9e7a · outbound

This paper cites 1, 93–150.

Ulam stability for classes of nuclear C*-algebras 1, 93–150

Reference 10

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:07a9a607f8a002142f80f69ccd46b61e290c82d6430c7c8315632e59f818508c

Observation a5c2080c-49a0-4ca7-81f0-7b3e5a396049 · outbound

This paper cites Engelking,Dimension theory, North-Holland Mathematical Library, vol.

Ulam stability for classes of nuclear C*-algebras Engelking,Dimension theory, North-Holland Mathematical Library, vol

Reference 11

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:a0bc7ee8113d4228bbd512a894161d256e1de29c0b28b0a3804ec1278d3d9620

Observation ed56d14e-2709-429b-b05f-cde773ba1242 · outbound

This paper cites Farah,Analytic quotients: theory of liftings for quotients over analytic ideals on the integers, Memoirs Amer.

Ulam stability for classes of nuclear C*-algebras Farah,Analytic quotients: theory of liftings for quotients over analytic ideals on the integers, Memoirs Amer

Reference 12

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:0484b20ae5b4bb099a3343d0e41b0b08d08ae98cfc10666da24440bdaedada52

Observation 6dfe6a20-4a37-48fc-a5c2-aaa079ca89dc · outbound

This paper cites an unresolved cited work.

Ulam stability for classes of nuclear C*-algebras Unresolved cited work

Reference 13

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:5382fdf3b5a9d740028d566185ff449faff88af6e5c57042e32c77c024223c93

Observation cdefd5e7-e61d-40b4-ae50-38eb38ab3572 · outbound

This paper cites an unresolved cited work.

Ulam stability for classes of nuclear C*-algebras Unresolved cited work

Reference 14

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:a77d1510d682996ad527a5f877a4531be68ae2e4d0f1a86090b7b8d0019cce18

Observation ff488005-04dd-4f66-9d41-cd17c99c6c2f · outbound

This paper cites Farah, S.

Ulam stability for classes of nuclear C*-algebras Farah, S

Reference 15

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:7a72127a6b9391384a72b8bbc5656b8e047317610b42794cf351bf29d582a2bb

Observation 2204396b-d0aa-481e-90a1-4f9407aa7fee · outbound

This paper cites Farah, B.

Ulam stability for classes of nuclear C*-algebras Farah, B

Reference 16

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Observation 4c80b63d-49a3-4446-8963-0552c7e62d67 · outbound

This paper cites Farah, I.

Ulam stability for classes of nuclear C*-algebras Farah, I

Reference 17

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:a2c117acc32d22552039d3e7f6bf9601f1d6b090ae1da65d3722e0ffadf34e9c

Observation a41bbd70-e500-4b27-b0bb-a95de02d3c87 · outbound

This paper cites Fogang and L.

Ulam stability for classes of nuclear C*-algebras Fogang and L

Reference 18

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:82f9b0f5a82290589f9e10212cd1c4ee500232f4a9bef1ff861353fbb2b42ef1

Observation 28687075-dc98-4260-8e8d-086ada5d3806 · outbound

This paper cites Ghasemi,Reduced products of metric structures: a metric Feferman–Vaught theorem, J.

Ulam stability for classes of nuclear C*-algebras Ghasemi,Reduced products of metric structures: a metric Feferman–Vaught theorem, J

Reference 19

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:c7bdcdb62e29cfd7e2d98418da87806a67d87df3b9f83829d42d3a9ece2458c1

Observation 688448a1-369c-44c0-94ae-ef9845c51494 · outbound

This paper cites an unresolved cited work.

Ulam stability for classes of nuclear C*-algebras Unresolved cited work

Reference 20

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:05d647c6d3c81a01a122c786792a3f0b0c456343687a9e14e2f112331ed8dc1d

Observation cd08b008-e966-4d25-b028-8636a09d3d72 · outbound

This paper cites II: C*-algebras with rational generalized tracial rank one, C.

Ulam stability for classes of nuclear C*-algebras II: C*-algebras with rational generalized tracial rank one, C

Reference 21

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:8c58f63fd03028c9fee30164e8609a3cc713abdce41ebea489d5fbc5a3310630

Observation 949b1824-0d17-44e1-bde9-4e9fe8587b31 · outbound

This paper cites Hyers,On the stability of the linear functional equation, Proc.

Ulam stability for classes of nuclear C*-algebras Hyers,On the stability of the linear functional equation, Proc

Reference 22

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:979becd6d4cf3b2f86cbe0fb9c61da2eebeb0807c54178e03d2f388b6e2c9fa0

Observation 77cccade-80c1-4e31-8bc2-732fa0a9d962 · outbound

This paper cites Hyers and T.M.

Ulam stability for classes of nuclear C*-algebras Hyers and T.M

Reference 23

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:28fe0c249c79ef5f1f50ae315ae036095294da41da87764ad3228cd1d6362002

Observation f6fbfe3e-46b3-494d-b58f-874e6faa4a9c · outbound

This paper cites Johnson,A counterexample in the perturbation theory of C*-algebras, Canad.

Ulam stability for classes of nuclear C*-algebras Johnson,A counterexample in the perturbation theory of C*-algebras, Canad

Reference 24

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Observation 5d48b911-5e84-4c33-90dd-f635a131298d · outbound

This paper cites London Math.

Ulam stability for classes of nuclear C*-algebras London Math

Reference 25

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Observation a0734cd0-56a1-4b16-8c92-b79ed628127e · outbound

This paper cites Kanovei and M.

Ulam stability for classes of nuclear C*-algebras Kanovei and M

Reference 26

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:7dc5da279b9c2b0fec4871d5bd8190cbd2e3c30911a91a8242f49d254fbe597e

Observation bfbbd773-0369-432a-b1f7-a88686e1f876 · outbound

This paper cites Kazhdan,Onε-representations, Israel J.

Ulam stability for classes of nuclear C*-algebras Kazhdan,Onε-representations, Israel J

Reference 27

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:3925233d9d07871ec29427f91b29d89181a8039cff2b1737a30e33dfa5822476

Observation a54ca7f3-a96b-4259-ba72-65c783362eaa · outbound

This paper cites Kitaev,Almost-idempotent quantum channels and approximateC ∗-algebras, 2025.

Ulam stability for classes of nuclear C*-algebras Kitaev,Almost-idempotent quantum channels and approximateC ∗-algebras, 2025

Reference 28

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:1f26e787b7110fe0cb643b9349cd6ef123e64411fc79eaa1bcac5f6d817ed6b1

Observation 88e7a243-aa8c-46a4-8a51-a4e683467797 · outbound

This paper cites Kunen,Set theory, Studies in Logic (London), vol.

Ulam stability for classes of nuclear C*-algebras Kunen,Set theory, Studies in Logic (London), vol

Reference 29

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:ae791ac28169908fc4ae3e8c36dd2e8dfb846424bbf21747efd048efb9732a8a

Observation cd7739ab-a325-4b95-ac46-93171fbd3e99 · outbound

This paper cites Loring,Lifting solutions to perturbing problems in C*-algebras, Fields Institute Monographs, vol.

Ulam stability for classes of nuclear C*-algebras Loring,Lifting solutions to perturbing problems in C*-algebras, Fields Institute Monographs, vol

Reference 30

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Observation 55c28458-28b0-492c-8f7e-b82e185b4c4e · outbound

This paper cites McKenney and A.

Ulam stability for classes of nuclear C*-algebras McKenney and A

Reference 31

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:67654f9849699ff3627052d321d80454980ac5f1271e082c3e9bd08b59ba0e3e

Observation ca1b1c8e-6514-4501-b528-26fa2ebe3b54 · outbound

This paper cites an unresolved cited work.

Ulam stability for classes of nuclear C*-algebras Unresolved cited work

Reference 32

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:865336ff484d8df2d164248d7e215e1f95096e6bbf6e2f99f2822887720df1cf

Observation 8efb7ad7-10e2-48b9-9adf-38c98d53ffd2 · outbound

This paper cites Paulsen,Completely bounded maps and operator algebras, Cambridge Studies in Advanced Mathe- matics, vol.

Ulam stability for classes of nuclear C*-algebras Paulsen,Completely bounded maps and operator algebras, Cambridge Studies in Advanced Mathe- matics, vol

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:ae6e28ef200ab343d0d2a92b3fcd2b465fe51735af9eb380642755b4a0ebef94

Observation 26f0c7f3-3703-474c-b373-4be3d9f0673e · outbound

This paper cites Pedersen,Pullback and pushout constructions in C*-algebra theory, J.

Ulam stability for classes of nuclear C*-algebras Pedersen,Pullback and pushout constructions in C*-algebra theory, J

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:1310889e59ea74281646ecf30f8f076d6c376bdbaee5a4f36bf3a381f408b045

Observation 33401ad5-1de4-4e68-946b-af6b7f7c3516 · outbound

This paper cites Christopher Phillips,Recursive subhomogeneous algebras, Trans.

Ulam stability for classes of nuclear C*-algebras Christopher Phillips,Recursive subhomogeneous algebras, Trans

Reference 35

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:9b7e806634b6ac8999f2567983f6323cc1f5d8a9e665695ab08ab52422f79d30

Observation a0d5378a-3a09-4c20-8bc0-6f75832d4586 · outbound

This paper cites ˇSemrl,Non-linear perturbations of homomorphisms onC(X)., Quarterly J.

Ulam stability for classes of nuclear C*-algebras ˇSemrl,Non-linear perturbations of homomorphisms onC(X)., Quarterly J

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:44dc343c513b86ba92a7841a3b4f3668543566be6a918bf30858ed83921637ff

Observation 10777425-159b-471d-804d-73aef96806ae · outbound

This paper cites Tikuisis, S.

Ulam stability for classes of nuclear C*-algebras Tikuisis, S

Reference 37

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:98104bab5ef5479239dd0d9a3ce0b34ebfc85489342d6b5b3734b9e6aec65a25

Observation c994426f-15dc-46f3-80c3-b4ae4411dc53 · outbound

This paper cites Toms,On the classification problem for nuclearC ∗-algebras, Ann.

Ulam stability for classes of nuclear C*-algebras Toms,On the classification problem for nuclearC ∗-algebras, Ann

Reference 38

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:0177d512b8181340267cfba3a8c3892ed5f4f84e7a30b2c2e390bb34e9753967

Observation 5d3763ea-93ff-4385-a53a-5d7262b468a0 · outbound

This paper cites Toms and W.

Ulam stability for classes of nuclear C*-algebras Toms and W

Reference 39

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:d7ec10512586d0511add181f879b150936ccdc095dd589c50fadae3b36864a6a

Observation 3de97f9e-75b4-4a61-9673-ff4e1d402fe0 · outbound

This paper cites Ulam,Problems in modern mathematics, John Wiley & Sons, 1964.

Ulam stability for classes of nuclear C*-algebras Ulam,Problems in modern mathematics, John Wiley & Sons, 1964

Reference 40

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unresolved
no resolver link, observed 2026-06-28T07:13:33.888658Z

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:9482f32c2e1d724a5e85bb9f269dec6f6a4b68108a43f5018219d3886f47d582

Observation 4160584f-e1b8-4f0b-a7bf-313aee68f898 · outbound

This paper cites Vignati,Rigidity conjectures for continuous quotients, Ann.

Ulam stability for classes of nuclear C*-algebras Vignati,Rigidity conjectures for continuous quotients, Ann

Reference 41

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:9ee84263d7a6af16d217088fb33bbabe7340a3f04e92f3afa38dccaae93aafcb

Observation 5754ee0c-b3ff-43bf-ae67-4f09118e6a68 · outbound

This paper cites Villadsen,Simple C*-algebras with perforation, J.

Ulam stability for classes of nuclear C*-algebras Villadsen,Simple C*-algebras with perforation, J

Reference 42

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source=pdf_text observed=2026-06-28T07:13:33.888658Z digest=sha256:748a9b2edfde71f60de6b58965b9539365c0be62ff5ee774f64816f05ae066b0

Observation f2d8daf8-5f7b-442b-99b9-68c9b1b78548 · outbound

This paper cites Winter,Decomposition rank of subhomogeneous C*-algebras, Proc.

Ulam stability for classes of nuclear C*-algebras Winter,Decomposition rank of subhomogeneous C*-algebras, Proc

Reference 43

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Pith citing papers

Observation 5f890945-4e00-42a0-bdea-674d108b47de · inbound

The hyperfinite II$_1$-factor is Ulam stable cites this paper.

The hyperfinite II$_1$-factor is Ulam stable Ulam stability for classes of nuclear C*-algebras

Reference 1

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verified exact
local_arxiv, observed 2026-07-02T20:37:22.772419Z

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source=pdf_text observed=2026-06-27T20:18:49.503094Z digest=sha256:80df425ff41d8c24cb56b3d3aa178689162eb0edf1ab07e5afa5bd950ecddd41

Observation 1989f753-77ce-455f-9fda-1b7766261f68 · inbound

Trace-norm rigidity for reduced products of unitary groups and matrix algebras cites this paper.

Trace-norm rigidity for reduced products of unitary groups and matrix algebras Ulam stability for classes of nuclear C*-algebras

Reference 1

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no resolver link, observed 2026-08-01T12:31:46.276521Z

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source=pdf_text observed=2026-08-01T12:31:46.276521Z digest=sha256:3743f373facc387ee9a411bd698a5a0fd3be58b9ef6380d20892a1eadcecf18b