Paper Citation Record · LEDGER

On automorphism groups of metric reduced products of symmetric groups

As of 14 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 2 inbound Pith citation observations for arXiv:2412.10802.

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

pith.paper-citation-record.v1
2412.10802 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T15:46:56.967338Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T12:31:46.675941Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T20:37:22.773374Z

Reference resolution

20 of 20 outbound references displayed

verified exact0
verified fuzzy9
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9c687563-db46-4b43-b740-8cc38410bda3 · outbound

This paper cites arXiv:2406.06741.

On automorphism groups of metric reduced products of symmetric groups arXiv:2406.06741

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T15:46:56.854394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 403dac0e-06e9-41f4-8589-e56efd062fcd · outbound

This paper cites an unresolved cited work.

On automorphism groups of metric reduced products of symmetric groups Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:46:57.600212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e4354a32-6952-4ea6-840d-0f98e8c7420f · outbound

This paper cites Ward Henson, and Alexander Usvyatsov, Model theory for metric structures , Model theory with applications to algebra and analysis.

On automorphism groups of metric reduced products of symmetric groups Ward Henson, and Alexander Usvyatsov, Model theory for metric structures , Model theory with applications to algebra and analysis

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:46:57.576515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 42dcfc87-ce97-4cdd-ae23-44b1867f47ae · outbound

This paper cites Dubuc and Daniele Mundici , Extending Stone duality to multisets and locally ﬁnite MV-algebras , Journal of Pure and Applied Algebra 189 (2004), no.

On automorphism groups of metric reduced products of symmetric groups Dubuc and Daniele Mundici , Extending Stone duality to multisets and locally ﬁnite MV-algebras , Journal of Pure and Applied Algebra 189 (2004), no

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:46:57.556876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c1e453fd-4ceb-4b8c-bddd-4de817e9c065 · outbound

This paper cites Trivial Isomorphisms between Reduced Products.

On automorphism groups of metric reduced products of symmetric groups Trivial Isomorphisms between Reduced Products

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T15:46:56.877747Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 543432d9-3131-46b8-900d-5fa363ec8021 · outbound

This paper cites A metric lifting theorem.

On automorphism groups of metric reduced products of symmetric groups A metric lifting theorem

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T15:46:56.884294Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67a63c4a-12f5-4a08-8ee6-a41144958dd4 · outbound

This paper cites 1, 98–118.

On automorphism groups of metric reduced products of symmetric groups 1, 98–118

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:46:57.536354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bd5043fa-5ae5-4efc-8b88-50fc71f454b5 · outbound

This paper cites The soﬁc property , Math.

On automorphism groups of metric reduced products of symmetric groups The soﬁc property , Math

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:46:57.509838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 393943cb-e626-4f71-ad11-04ff536d9afb · outbound

This paper cites ↑3.3, 4.5.

On automorphism groups of metric reduced products of symmetric groups ↑3.3, 4.5

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:46:57.486414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fa1fe1f7-9ad7-47d0-8309-03b9cb90fa08 · outbound

This paper cites arXiv:2201.11618.

On automorphism groups of metric reduced products of symmetric groups arXiv:2201.11618

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T15:46:56.908775Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e94d1029-b9a4-475d-9658-af3d2d1d2e92 · outbound

This paper cites an unresolved cited work.

On automorphism groups of metric reduced products of symmetric groups Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:46:57.469787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4cf1b1f7-819b-4d2d-97fc-5f51cf009fd0 · outbound

This paper cites Symbolic Logic 81 (2016), no.

On automorphism groups of metric reduced products of symmetric groups Symbolic Logic 81 (2016), no

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:46:57.447537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2eb85f4e-78ef-4d36-a5f5-41536a12d305 · outbound

This paper cites an unresolved cited work.

On automorphism groups of metric reduced products of symmetric groups Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:46:57.421882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 32d5dc82-3951-4625-97a9-e0dbf0d8a2d8 · outbound

This paper cites an unresolved cited work.

On automorphism groups of metric reduced products of symmetric groups Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:46:57.402594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6c0d8f1b-b600-445e-9eda-bf53d0b4cb81 · outbound

This paper cites Ruh, Group actions and curvature , Bull.

On automorphism groups of metric reduced products of symmetric groups Ruh, Group actions and curvature , Bull

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:46:57.380512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 27bd4b1f-0c62-4595-a023-d472498b069e · outbound

This paper cites II , Amer.

On automorphism groups of metric reduced products of symmetric groups II , Amer

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:46:57.357006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fa48321e-5c53-42ce-9ece-87d3e6314a75 · outbound

This paper cites an unresolved cited work.

On automorphism groups of metric reduced products of symmetric groups Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:46:57.334251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bc85e8cb-e273-4a71-8049-29c1563715c1 · outbound

This paper cites Pestov, Hyperlinear and soﬁc groups: a brief guide , Bull.

On automorphism groups of metric reduced products of symmetric groups Pestov, Hyperlinear and soﬁc groups: a brief guide , Bull

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:46:57.313814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 67108be7-8561-4135-98d8-911ccd3a2c67 · outbound

This paper cites an unresolved cited work.

On automorphism groups of metric reduced products of symmetric groups Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:46:57.293467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c07df34e-ca74-4ce6-892e-90191790f1e4 · outbound

This paper cites an unresolved cited work.

On automorphism groups of metric reduced products of symmetric groups Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:46:57.270689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

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

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

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 2026-08-13T06:32:02.005865+00:00.

Observation d6b9402b-1bc9-4e98-b3a9-93a4b0a92808 · 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 On automorphism groups of metric reduced products of symmetric groups

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T12:31:46.675941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.