Paper Citation Record · LEDGER

The atoms of graph product von Neumann algebras

As of 8 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2506.09000.

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

pith.paper-citation-record.v1
2506.09000 v2

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:08:37.025769Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:01:17.751149Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T17:01:20.760719Z

Reference resolution

18 of 18 outbound references displayed

verified exact0
verified fuzzy13
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2f2cc484-af13-4725-92e5-45fbd568a8dc · outbound

This paper cites Belinschi, Hari Bercovici, and Weihua Liu, The atoms of operator-valued free convolutions, Journal of Operator Theory 85 (2021), no.

The atoms of graph product von Neumann algebras Belinschi, Hari Bercovici, and Weihua Liu, The atoms of operator-valued free convolutions, Journal of Operator Theory 85 (2021), no

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:08:41.463045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 39e5328c-4068-4508-80ec-8203ac407303 · outbound

This paper cites 122, Springer-Verlag, Berlin, 2006, Theory of C^* -algebras and von N eumann algebras, Operator Algebras and Non-commutative Geometry, III.

The atoms of graph product von Neumann algebras 122, Springer-Verlag, Berlin, 2006, Theory of C^* -algebras and von N eumann algebras, Operator Algebras and Non-commutative Geometry, III

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:08:41.256536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f7efd75e-3277-467e-8272-a532267bf970 · outbound

This paper cites an unresolved cited work.

The atoms of graph product von Neumann algebras Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:08:41.003093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1676c164-6104-42c5-8064-af10546cb248 · outbound

This paper cites 37--47, Birkh \"a user Basel, Basel, 1998.

The atoms of graph product von Neumann algebras 37--47, Birkh \"a user Basel, Basel, 1998

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:08:40.883552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0f1ac7dd-dd05-4834-b5f6-d5aade69e497 · outbound

This paper cites On the structure of graph product von Neumann algebras.

The atoms of graph product von Neumann algebras On the structure of graph product von Neumann algebras

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T05:08:35.195055Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5500d3f-010b-4fe4-8bce-3edd49823cad · outbound

This paper cites Cartier and D.

The atoms of graph product von Neumann algebras Cartier and D

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:08:40.704267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a5caf5d2-2043-4b9e-acf2-c90c03cf93b2 · outbound

This paper cites Noncommut.

The atoms of graph product von Neumann algebras Noncommut

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:08:40.471254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 039cde58-b7d7-4a12-bd9e-fa4e2e243c02 · outbound

This paper cites 1, 97--119.

The atoms of graph product von Neumann algebras 1, 97--119

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:08:40.166699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a4b70b4e-2883-42a7-a386-b066bb09bbe5 · outbound

This paper cites Goulden and David M.

The atoms of graph product von Neumann algebras Goulden and David M

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:08:39.863991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation eed4ddb3-1401-488e-bb00-20dc3708ecf8 · outbound

This paper cites thesis, University of Leeds, 1990.

The atoms of graph product von Neumann algebras thesis, University of Leeds, 1990

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:08:39.585475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 00c4c48b-87ea-417a-a1fc-97989a004e0f · outbound

This paper cites Hermiller and J.

The atoms of graph product von Neumann algebras Hermiller and J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:08:39.308202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation be6428b6-3572-402c-b1e6-7321414fc701 · outbound

This paper cites Jones and V.

The atoms of graph product von Neumann algebras Jones and V

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:08:39.034105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ad6b4fe6-cebf-4c5c-9552-5d813aa735ea · outbound

This paper cites Morampudi and Chris R.

The atoms of graph product von Neumann algebras Morampudi and Chris R

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:08:38.744512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4b4ac597-40d4-4d70-a20f-8ea0e30c7c57 · outbound

This paper cites M otkowski, -free probability, Infinite Dimensional Analysis.

The atoms of graph product von Neumann algebras M otkowski, -free probability, Infinite Dimensional Analysis

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:08:38.421453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 65437569-edc0-4337-8848-013e00bb3566 · outbound

This paper cites an unresolved cited work.

The atoms of graph product von Neumann algebras Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:08:38.075620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ddfda70e-47e1-4149-b4a8-964c44098dca · outbound

This paper cites 60, Springer-Verlag, Berlin Heidelberg, 1971.

The atoms of graph product von Neumann algebras 60, Springer-Verlag, Berlin Heidelberg, 1971

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:08:37.790520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5f207356-e687-4d93-9e22-f9f6aadec249 · outbound

This paper cites an unresolved cited work.

The atoms of graph product von Neumann algebras Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:08:37.552046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 58440df9-fe73-4eaf-8032-b6161f6f3e93 · outbound

This paper cites an unresolved cited work.

The atoms of graph product von Neumann algebras Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:08:37.301070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation 37a45b05-fd4d-428b-afa9-d6f1ee1947a8 · inbound

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications cites this paper.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications The atoms of graph product von Neumann algebras

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:01:20.819862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.