Paper Citation Record · LEDGER

Rates of convergence in the Free Multiplicative Central Limit Theorem

As of 20 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2505.18348.

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

pith.paper-citation-record.v1
2505.18348 v2

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:39:37.744919Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

31 of 31 outbound references displayed

verified exact3
verified fuzzy22
unresolved6
parse uncertain0
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External citation measurements

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Outbound references

Observation 2ac33b74-a16c-4c0e-a4c1-4fd294e8d235 · outbound

This paper cites Quantitative Estimates for Operator-Valued and Infinitesimal Boolean and Monotone Limit Theorems.

Rates of convergence in the Free Multiplicative Central Limit Theorem Quantitative Estimates for Operator-Valued and Infinitesimal Boolean and Monotone Limit Theorems

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:39:38.466033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f74c8ee3-a384-4920-a3c9-a99235afcdcc · outbound

This paper cites New combinatorial identity for the set of partitions and limit theorems in finite free probability theory.

Rates of convergence in the Free Multiplicative Central Limit Theorem New combinatorial identity for the set of partitions and limit theorems in finite free probability theory

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:44.923624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e8980ec4-f0bb-438f-a67e-6cce21279163 · outbound

This paper cites Products of free random variables and k -divisible non-crossing partitions.

Rates of convergence in the Free Multiplicative Central Limit Theorem Products of free random variables and k -divisible non-crossing partitions

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:44.637736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6c0af13e-578f-4e1e-9d46-01c9d2d84c6f · outbound

This paper cites An explicit formula for free multiplicative brownian motions via spherical functions.

Rates of convergence in the Free Multiplicative Central Limit Theorem An explicit formula for free multiplicative brownian motions via spherical functions

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:44.458732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d3c99a31-6058-4ce8-a086-d97de3c6d158 · outbound

This paper cites Weighted Z olotarev metrics and the K antorovich metric.

Rates of convergence in the Free Multiplicative Central Limit Theorem Weighted Z olotarev metrics and the K antorovich metric

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:44.164744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 933e47db-f047-447e-9088-b731b80993ec · outbound

This paper cites Berry- E sseen bounds for the multivariate B -free CLT and operator-valued matrices.

Rates of convergence in the Free Multiplicative Central Limit Theorem Berry- E sseen bounds for the multivariate B -free CLT and operator-valued matrices

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:43.914432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 45dfc0f0-1881-4d2f-842d-b8c490484bd2 · outbound

This paper cites Bogachev.

Rates of convergence in the Free Multiplicative Central Limit Theorem Bogachev

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:43.707519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8bd5d052-eb55-45a3-a42b-7ad0cd15c841 · outbound

This paper cites Limit laws for products of free and independent random variables.

Rates of convergence in the Free Multiplicative Central Limit Theorem Limit laws for products of free and independent random variables

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:43.473830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ae4ef28c-7ec9-4b6f-bd1f-92f333ffeaa5 · outbound

This paper cites L \'e vy-hin c in type theorems for multiplicative and additive free convolution.

Rates of convergence in the Free Multiplicative Central Limit Theorem L \'e vy-hin c in type theorems for multiplicative and additive free convolution

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:43.196386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3a590147-1173-47fa-86a7-49e494599298 · outbound

This paper cites Limit theorems for free multiplicative convolutions.

Rates of convergence in the Free Multiplicative Central Limit Theorem Limit theorems for free multiplicative convolutions

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:42.867947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation efb4eb02-575a-47de-918a-b5c1f5fd992b · outbound

This paper cites an unresolved cited work.

Rates of convergence in the Free Multiplicative Central Limit Theorem Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:39:42.583905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 94c8840c-5f72-48cf-bd30-f84c6ff82974 · outbound

This paper cites Limit theorems in free probability theory II.

Rates of convergence in the Free Multiplicative Central Limit Theorem Limit theorems in free probability theory II

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:42.326000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 233a0e29-6e6d-4ee2-94ad-e87341f504e5 · outbound

This paper cites an unresolved cited work.

Rates of convergence in the Free Multiplicative Central Limit Theorem Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:39:42.098411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7ee96288-8edb-4a35-9e2d-e5f49cb51f38 · outbound

This paper cites Central Limit for the Product of Free Random Variables.

Rates of convergence in the Free Multiplicative Central Limit Theorem Central Limit for the Product of Free Random Variables

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:39:38.239974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 643b46c7-9395-4555-98f0-d885f4ce8411 · outbound

This paper cites On the supports of measures in free multiplicative convolution semigroups.

Rates of convergence in the Free Multiplicative Central Limit Theorem On the supports of measures in free multiplicative convolution semigroups

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:41.852309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 93ca9049-ddd6-41cb-bb31-1331dbd5efa9 · outbound

This paper cites Berry- E sseen for free random variables.

Rates of convergence in the Free Multiplicative Central Limit Theorem Berry- E sseen for free random variables

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:41.643434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7aa430cb-ed94-4a6a-8804-41c64500c29b · outbound

This paper cites The norm of products of free random variables.

Rates of convergence in the Free Multiplicative Central Limit Theorem The norm of products of free random variables

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:41.413180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation aa6c832f-e426-4836-9ec3-9ab8535aa727 · outbound

This paper cites On asymptotic growth of the support of free multiplicative convolutions.

Rates of convergence in the Free Multiplicative Central Limit Theorem On asymptotic growth of the support of free multiplicative convolutions

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:41.165142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a3a8fc62-af03-4de1-ba49-4917373d3321 · outbound

This paper cites Free probability and random matrices , volume 35.

Rates of convergence in the Free Multiplicative Central Limit Theorem Free probability and random matrices , volume 35

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T14:39:36.300050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4193e66c-a4f2-4067-b2de-63070113ec38 · outbound

This paper cites Rates of convergence in the free central limit theorem.

Rates of convergence in the Free Multiplicative Central Limit Theorem Rates of convergence in the free central limit theorem

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:40.934857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b2a4294a-6726-4521-b640-432fd351f227 · outbound

This paper cites Weighted sums and B erry- E sseen type estimates in free probability theory.

Rates of convergence in the Free Multiplicative Central Limit Theorem Weighted sums and B erry- E sseen type estimates in free probability theory

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:40.716736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f6533edd-1e17-409c-bf05-d96f0562d5f2 · outbound

This paper cites Lectures on the combinatorics of free probability , volume 335 of Lond.

Rates of convergence in the Free Multiplicative Central Limit Theorem Lectures on the combinatorics of free probability , volume 335 of Lond

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:40.471968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 230b4701-67e8-4711-ac84-f52aad493e59 · outbound

This paper cites Lectures on the combinatorics of free probability , volume 13.

Rates of convergence in the Free Multiplicative Central Limit Theorem Lectures on the combinatorics of free probability , volume 13

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T14:39:36.773022Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee5f3a05-f472-4520-ba85-578245243a58 · outbound

This paper cites Minimal distances and ideal distances.

Rates of convergence in the Free Multiplicative Central Limit Theorem Minimal distances and ideal distances

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:40.182245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0b4485b8-c54d-4650-80ca-3c3b7f1b1566 · outbound

This paper cites Fundamentals of S tein's method.

Rates of convergence in the Free Multiplicative Central Limit Theorem Fundamentals of S tein's method

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:39.935388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0f95f5e7-1503-42bc-93a8-e7aa939ba9a7 · outbound

This paper cites On the rate of convergence and Berry-Esseen type theorems for a multivariate free central limit theorem.

Rates of convergence in the Free Multiplicative Central Limit Theorem On the rate of convergence and Berry-Esseen type theorems for a multivariate free central limit theorem

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:39:38.009988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 50d3225f-fb04-44b6-925e-0a5573a18be3 · outbound

This paper cites Optimal transport: old and new , volume 338.

Rates of convergence in the Free Multiplicative Central Limit Theorem Optimal transport: old and new , volume 338

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:39.651761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ff32fa2f-c49e-4423-bc53-0366e0e2a1f3 · outbound

This paper cites Free B rownian motion and free convolution semigroups: multiplicative case.

Rates of convergence in the Free Multiplicative Central Limit Theorem Free B rownian motion and free convolution semigroups: multiplicative case

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:39.404962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a6712379-3744-4773-9ed3-9c8db29cc8b9 · outbound

This paper cites On the free convolution with a free multiplicative analogue of the normal distribution.

Rates of convergence in the Free Multiplicative Central Limit Theorem On the free convolution with a free multiplicative analogue of the normal distribution

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:39.157783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 33143c83-e8af-41ae-b4c1-e68565c70a9d · outbound

This paper cites an unresolved cited work.

Rates of convergence in the Free Multiplicative Central Limit Theorem Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:39:38.951199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c3517905-e947-44f9-b48c-75f052e1cb2d · outbound

This paper cites an unresolved cited work.

Rates of convergence in the Free Multiplicative Central Limit Theorem Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:39:38.726723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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