Paper Citation Record · LEDGER

Fourth-Moment Theorems for Sums of Multiple Integrals

As of 13 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2502.03596.

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

pith.paper-citation-record.v1
2502.03596 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T04:35:32.136749Z

measured 20 of 20 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:20:12.677932Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T11:20:13.045043Z

Reference resolution

19 of 19 outbound references displayed

verified exact5
verified fuzzy8
unresolved2
parse uncertain0
malformed identifier4
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 377028a1-d710-469d-9f5a-412da4d60571 · outbound

This paper cites Convergence of the fourth moment and infinite divisibility: quantitative estimates.,.

Fourth-Moment Theorems for Sums of Multiple Integrals Convergence of the fourth moment and infinite divisibility: quantitative estimates.,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:35:32.852846Z

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 fe43e024-922e-44c6-9a4e-a11a91bab670 · outbound

This paper cites Generalization of the Nualart-Peccati criterion,.

Fourth-Moment Theorems for Sums of Multiple Integrals Generalization of the Nualart-Peccati criterion,

Reference 2

Resolution: malformed identifier; no resolver link, observed 2026-08-09T04:35:32.072015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85dcda3f-0453-455e-8055-c7aaeeb28b46 · outbound

This paper cites Billingsley, Probability and measure (A Wiley-Interscience publication), 3.

Fourth-Moment Theorems for Sums of Multiple Integrals Billingsley, Probability and measure (A Wiley-Interscience publication), 3

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:35:32.842075Z

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 bde2c5ac-f428-4370-ad9f-202ddf189722 · outbound

This paper cites Billingsley, Convergence of probability measures (Wiley Series in Probability and Statistics: Probability and Statistics), Second.

Fourth-Moment Theorems for Sums of Multiple Integrals Billingsley, Convergence of probability measures (Wiley Series in Probability and Statistics: Probability and Statistics), Second

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:35:32.830695Z

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 d6b0dff0-022a-4dba-86b3-d987a97d43b5 · outbound

This paper cites A quantitative fourth moment theorem in free probability theory,.

Fourth-Moment Theorems for Sums of Multiple Integrals A quantitative fourth moment theorem in free probability theory,

Reference 5

Resolution: malformed identifier; arxiv_id_nonexistent, observed 2026-08-09T04:35:32.717520Z

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 7171ce56-644f-497c-85d3-d5802c808c20 · outbound

This paper cites On the fourth moment condition for rademacher chaos,.

Fourth-Moment Theorems for Sums of Multiple Integrals On the fourth moment condition for rademacher chaos,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:35:32.819612Z

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 04bc9738-ce7c-4fe3-8b83-cc35a29aa22d · outbound

This paper cites The fourth moment theorem on the Poisson space,.

Fourth-Moment Theorems for Sums of Multiple Integrals The fourth moment theorem on the Poisson space,

Reference 7

Resolution: verified exact; doi, observed 2026-08-09T04:35:32.211404Z

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 36746887-8313-4b54-a040-b10126160f5e · outbound

This paper cites Nourdin and G.

Fourth-Moment Theorems for Sums of Multiple Integrals Nourdin and G

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-09T04:35:32.095675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c44af7d4-0bc8-44a5-9153-f2859398b9b8 · outbound

This paper cites The optimal fourth moment theorem,.

Fourth-Moment Theorems for Sums of Multiple Integrals The optimal fourth moment theorem,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:35:32.785434Z

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 d89e1e4f-75df-48f7-993e-c8164bae5407 · outbound

This paper cites Classical and free fourth moment theorems: Universality and thresholds,.

Fourth-Moment Theorems for Sums of Multiple Integrals Classical and free fourth moment theorems: Universality and thresholds,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:35:32.750569Z

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 47bfdf05-9671-4a68-b36c-2e23cac5b14e · outbound

This paper cites Multidimensional limit theorems for homoge- neous sums: A survey and a general transfer principle,.

Fourth-Moment Theorems for Sums of Multiple Integrals Multidimensional limit theorems for homoge- neous sums: A survey and a general transfer principle,

Reference 11

Resolution: verified exact; raw_fallback, observed 2026-08-09T04:35:32.527507Z

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 92f3783c-cc4c-4b28-bec6-4cc139d88606 · outbound

This paper cites Entropy and the fourth moment phenomenon,.

Fourth-Moment Theorems for Sums of Multiple Integrals Entropy and the fourth moment phenomenon,

Reference 12

Resolution: verified exact; doi, observed 2026-08-09T04:35:32.187897Z

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 e58896d2-1e4f-4e08-bf36-9fadf610842d · outbound

This paper cites Central limit theorems for sequences of multiple stochastic integrals,.

Fourth-Moment Theorems for Sums of Multiple Integrals Central limit theorems for sequences of multiple stochastic integrals,

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-09T04:35:32.121655Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a63af8fc-2355-4850-8d91-0396656aac90 · outbound

This paper cites Quantitative CLTs on a Gaussian space: A survey of recent developments,.

Fourth-Moment Theorems for Sums of Multiple Integrals Quantitative CLTs on a Gaussian space: A survey of recent developments,

Reference 14

Resolution: malformed identifier; no resolver link, observed 2026-08-09T04:35:32.125531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6252bf53-6d17-4b2a-97d8-742baf72b837 · outbound

This paper cites Gaussian limits for vector-valued multiple stochastic integrals,.

Fourth-Moment Theorems for Sums of Multiple Integrals Gaussian limits for vector-valued multiple stochastic integrals,

Reference 15

Resolution: verified exact; doi, observed 2026-08-09T04:35:32.169080Z

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 777c93ad-906d-4bbb-810d-6f4fd3b2a9f2 · outbound

This paper cites Rudin, Principles of Mathematical Analysis (International series in pure and applied math- ematics), Third.

Fourth-Moment Theorems for Sums of Multiple Integrals Rudin, Principles of Mathematical Analysis (International series in pure and applied math- ematics), Third

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:35:32.740430Z

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 36c23945-1131-4818-875b-2ead9c94eecd · outbound

This paper cites On independence and conditioning on Wiener space,.

Fourth-Moment Theorems for Sums of Multiple Integrals On independence and conditioning on Wiener space,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:35:32.729663Z

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 becaeb60-cb19-4c7f-a63b-ee16aa6ca204 · outbound

This paper cites [Online].

Fourth-Moment Theorems for Sums of Multiple Integrals [Online]

Reference 2014

Resolution: verified exact; doi, observed 2026-08-09T04:35:32.228443Z

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 74a53303-9011-42d2-bbd4-ae9613db16e6 · outbound

This paper cites [Online].

Fourth-Moment Theorems for Sums of Multiple Integrals [Online]

Reference 9840

Resolution: malformed identifier; no resolver link, observed 2026-08-09T04:35:32.108893Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation ecab5468-195a-4118-8599-6e4ffafcfe20 · inbound

Mathematical research with GPT-5: a Malliavin-Stein experiment cites this paper.

Mathematical research with GPT-5: a Malliavin-Stein experiment Fourth-Moment Theorems for Sums of Multiple Integrals

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-05T11:20:13.048567Z

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.