Paper Citation Record · LEDGER

The hyperfinite II$_1$-factor is Ulam stable

As of 22 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2606.07369.

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

pith.paper-citation-record.v1
2606.07369 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T20:18:49.503094Z

measured 32 of 32 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T12:31:46.326981Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

31 of 31 outbound references displayed

verified exact2
verified fuzzy0
unresolved29
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

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

This paper cites Ulam stability for classes of nuclear C*-algebras.

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

Reference 1

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

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.

Observation 9acb6c56-009f-4e06-9c39-69480ba3601d · outbound

This paper cites Burger, N.

The hyperfinite II$_1$-factor is Ulam stable Burger, N

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 724e98db-ed46-4f3a-8b03-5db2e926e849 · outbound

This paper cites Christensen,Near inclusions ofC∗-algebras, Acta Math.144(1980), no.

The hyperfinite II$_1$-factor is Ulam stable Christensen,Near inclusions ofC∗-algebras, Acta Math.144(1980), no

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bdcfcbff-be1d-4e83-929a-efe39d70951c · outbound

This paper cites Christensen, A.

The hyperfinite II$_1$-factor is Ulam stable Christensen, A

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6742085c-c6c0-480e-9944-3059f9f78ba7 · outbound

This paper cites Connes,Classification of injective factors.

The hyperfinite II$_1$-factor is Ulam stable Connes,Classification of injective factors

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d2db823c-e9e3-4b9c-ab0f-246c6024d5b4 · outbound

This paper cites De Bondt and A.

The hyperfinite II$_1$-factor is Ulam stable De Bondt and A

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d34d0811-01ae-4a64-a114-26ea1eafa7a7 · outbound

This paper cites On automorphism groups of metric reduced products of symmetric groups.

The hyperfinite II$_1$-factor is Ulam stable On automorphism groups of metric reduced products of symmetric groups

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-07-02T20:37:22.775286Z

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.

Observation 190eee24-2789-4160-ba51-3ac2cc692e96 · outbound

This paper cites an unresolved cited work.

The hyperfinite II$_1$-factor is Ulam stable Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a16308a8-154b-4667-a2ff-fdb9ca686067 · outbound

This paper cites de Chiffre, N.

The hyperfinite II$_1$-factor is Ulam stable de Chiffre, N

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe7d5eb3-b081-4dc2-a464-cb6574f13098 · outbound

This paper cites Dixmier, C∗-algebras, North-Holland Mathematical Library, vol.

The hyperfinite II$_1$-factor is Ulam stable Dixmier, C∗-algebras, North-Holland Mathematical Library, vol

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cff4944c-15e5-4d61-8bad-91b32b7c36cc · outbound

This paper cites an unresolved cited work.

The hyperfinite II$_1$-factor is Ulam stable Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17e5d95c-3117-4193-a2d8-af13ee47a0a1 · outbound

This paper cites Farah,Combinatorial set theory of C*-algebras, Springer Monographs in Mathematics, Springer, Cham, 2019.↑2, 13.

The hyperfinite II$_1$-factor is Ulam stable Farah,Combinatorial set theory of C*-algebras, Springer Monographs in Mathematics, Springer, Cham, 2019.↑2, 13

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c996a461-c900-4dba-8685-4a2bb76b2bb3 · outbound

This paper cites Farah, S.

The hyperfinite II$_1$-factor is Ulam stable Farah, S

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ea9d2c4-9d31-4ce6-b476-ad26e266913b · outbound

This paper cites an unresolved cited work.

The hyperfinite II$_1$-factor is Ulam stable Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 095db344-1d65-4680-ab3b-43a8119aec11 · outbound

This paper cites an unresolved cited work.

The hyperfinite II$_1$-factor is Ulam stable Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ac9c523-1f95-44a1-ba71-f63a495a00aa · outbound

This paper cites Hadwin and T.

The hyperfinite II$_1$-factor is Ulam stable Hadwin and T

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca4f66a2-48a3-402f-88b6-386034dcd19b · outbound

This paper cites an unresolved cited work.

The hyperfinite II$_1$-factor is Ulam stable Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 697b5a89-86a0-4784-9ebd-232ac4f2c64d · outbound

This paper cites Hirshberg, E.

The hyperfinite II$_1$-factor is Ulam stable Hirshberg, E

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 71700325-de85-478a-bcff-cce7d47797f8 · outbound

This paper cites an unresolved cited work.

The hyperfinite II$_1$-factor is Ulam stable Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a012fc17-4bc2-4e20-af63-8d9b4de05bc8 · outbound

This paper cites London Math.

The hyperfinite II$_1$-factor is Ulam stable London Math

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70b70aca-9f19-4fe5-afbf-04fe1c273ff7 · outbound

This paper cites Jung,Amenability, tubularity, and embeddings intoRω, Math.

The hyperfinite II$_1$-factor is Ulam stable Jung,Amenability, tubularity, and embeddings intoRω, Math

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1442e38c-a998-49c1-8bdd-32e41ef02ce7 · outbound

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

The hyperfinite II$_1$-factor is Ulam stable Kazhdan,Onε-representations, Israel J

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0128a4d1-8add-4425-8109-02fb04d8d9ab · outbound

This paper cites an unresolved cited work.

The hyperfinite II$_1$-factor is Ulam stable Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3126490b-0e24-4d1e-bf13-e90b2f9bcafe · outbound

This paper cites McKenney and A.

The hyperfinite II$_1$-factor is Ulam stable McKenney and A

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f51424e6-8600-45c3-805e-8713dc19d12d · outbound

This paper cites an unresolved cited work.

The hyperfinite II$_1$-factor is Ulam stable Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aeba70eb-dcbb-4309-a9c7-5912615de61a · outbound

This paper cites Phillips and I.

The hyperfinite II$_1$-factor is Ulam stable Phillips and I

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b40cc5c2-05fa-4945-bf3c-5db73b32131d · outbound

This paper cites Pimsner and S.

The hyperfinite II$_1$-factor is Ulam stable Pimsner and S

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 38943fb6-973e-4f20-a7b6-1a6507fe8cf3 · outbound

This paper cites Popa,Classification of amenable subfactors of typeII, Acta Math.172(1994), 163–255.

The hyperfinite II$_1$-factor is Ulam stable Popa,Classification of amenable subfactors of typeII, Acta Math.172(1994), 163–255

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f378aaa-f164-4e67-852d-4adf48abe849 · outbound

This paper cites an unresolved cited work.

The hyperfinite II$_1$-factor is Ulam stable Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 127e7c34-d8bf-4a78-af48-3a1f04fc8d7a · outbound

This paper cites Takesaki,Theory of operator algebras.

The hyperfinite II$_1$-factor is Ulam stable Takesaki,Theory of operator algebras

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18c90b6f-b973-4306-9a24-8ec9223f87fd · outbound

This paper cites an unresolved cited work.

The hyperfinite II$_1$-factor is Ulam stable Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-27T20:18:49.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation a6cb5640-90c0-41e5-8e13-3f8914d88e2d · 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 The hyperfinite II$_1$-factor is Ulam stable

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T12:31:46.326981Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.