Paper Citation Record · LEDGER

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core

As of 18 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2607.28742.

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

pith.paper-citation-record.v1
2607.28742 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T00:39:00.790744Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:21:50.376718Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-16T00:21:50.407631Z

Reference resolution

24 of 24 outbound references displayed

verified exact0
verified fuzzy0
unresolved24
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b571f33d-b082-41ed-9507-32a0d51d6fd9 · outbound

This paper cites and Peccati, G.: The Malliavin--Stein method on the Poisson space.

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core and Peccati, G.: The Malliavin--Stein method on the Poisson space

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T00:38:58.817767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7f440a7-5c25-46c6-a754-ce69988d80e1 · outbound

This paper cites and Shao, Q.-M.: Normal Approximation by Stein's Method.

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core and Shao, Q.-M.: Normal Approximation by Stein's Method

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T00:38:58.864459Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 71e8b889-6c9d-4cc9-a66c-5338183ed576 · outbound

This paper cites The Poisson Multiplication Formula.

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core The Poisson Multiplication Formula

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T00:38:58.952223Z

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Unavailable: canonical work link unavailable.

Observation b92cf974-c54a-4303-b398-fec6267b4b9b · outbound

This paper cites and Peccati, G.: The fourth moment theorem on the Poisson space.

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core and Peccati, G.: The fourth moment theorem on the Poisson space

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T00:38:59.058174Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc967543-29b2-459d-873a-43b1fa808202 · outbound

This paper cites and Peccati, G.: Fourth moment theorems on the Poisson space: analytic statements via product formulae.

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core and Peccati, G.: Fourth moment theorems on the Poisson space: analytic statements via product formulae

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T00:38:59.115149Z

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Unavailable: canonical work link unavailable.

Observation db9cbb3c-8fd5-4344-a0cf-909576d2cd18 · outbound

This paper cites and Zheng, G.: Fourth moment theorems on the Poisson space in any dimension.

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core and Zheng, G.: Fourth moment theorems on the Poisson space in any dimension

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T00:38:59.183835Z

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Unavailable: canonical work link unavailable.

Observation 028df310-53ac-4926-8026-abc7f3bf0469 · outbound

This paper cites and Th\"ale, C.: New Berry--Esseen bounds for non-linear functionals of Poisson random measures.

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core and Th\"ale, C.: New Berry--Esseen bounds for non-linear functionals of Poisson random measures

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T00:38:59.277976Z

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Unavailable: canonical work link unavailable.

Observation 07507db9-94b3-48ff-b55a-e2366ee421c2 · outbound

This paper cites and Peccati, G.: Fine Gaussian fluctuations on the Poisson space, I: contractions, cumulants and geometric random graphs.

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core and Peccati, G.: Fine Gaussian fluctuations on the Poisson space, I: contractions, cumulants and geometric random graphs

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T00:38:59.376169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d482a5bc-1f87-47e7-8e5e-eb31d7224f77 · outbound

This paper cites an unresolved cited work.

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T00:38:59.468805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b46cb19c-a893-4ce4-9df1-23c78fb37bb6 · outbound

This paper cites and Penrose, M.D.: Poisson process Fock space representation, chaos expansion and covariance inequalities.

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core and Penrose, M.D.: Poisson process Fock space representation, chaos expansion and covariance inequalities

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T00:38:59.572796Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 931689be-079d-441b-9d1d-434e21b7af58 · outbound

This paper cites and Penrose, M.: Lectures on the Poisson Process.

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core and Penrose, M.: Lectures on the Poisson Process

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T00:38:59.645463Z

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Unavailable: canonical work link unavailable.

Observation 6fbb6a16-276b-4dde-ac29-0a078cd37d3d · outbound

This paper cites an unresolved cited work.

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T00:38:59.717981Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41a261b5-29dc-453b-8fac-e42c188445e8 · outbound

This paper cites and Peccati, G.: Stein's method on Wiener chaos.

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core and Peccati, G.: Stein's method on Wiener chaos

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T00:38:59.833540Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 268d972a-93b8-46af-a8db-f7609a7fbf12 · outbound

This paper cites and Peccati, G.: Normal Approximations with Malliavin Calculus: From Stein's Method to Universality.

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core and Peccati, G.: Normal Approximations with Malliavin Calculus: From Stein's Method to Universality

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T00:38:59.901943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d62677e6-8bba-46f5-bc28-1348e4b2baaa · outbound

This paper cites and Peccati, G.: Central limit theorems for sequences of multiple stochastic integrals.

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core and Peccati, G.: Central limit theorems for sequences of multiple stochastic integrals

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T00:38:59.996895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ea78cad-612c-44d2-bffe-bae1a0653bf8 · outbound

This paper cites and Utzet, F.: Stein's method and normal approximation of Poisson functionals.

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core and Utzet, F.: Stein's method and normal approximation of Poisson functionals

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T00:39:00.068999Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97e0cd50-d7ef-4304-b593-213117ca7c9c · outbound

This paper cites and Taqqu, M.S.: Central limit theorems for double Poisson integrals.

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core and Taqqu, M.S.: Central limit theorems for double Poisson integrals

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T00:39:00.166595Z

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Unavailable: canonical work link unavailable.

Observation 72ee79ef-7d4c-4b41-ba85-dddf5645a153 · outbound

This paper cites and Tudor, C.A.: Gaussian limits for vector-valued multiple stochastic integrals.

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core and Tudor, C.A.: Gaussian limits for vector-valued multiple stochastic integrals

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T00:39:00.296913Z

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Unavailable: canonical work link unavailable.

Observation 00edcb3d-2a29-4631-904a-cfa1ab447159 · outbound

This paper cites and Zheng, C.: Multi-dimensional Gaussian fluctuations on the Poisson space.

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core and Zheng, C.: Multi-dimensional Gaussian fluctuations on the Poisson space

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T00:39:00.395185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 067b3a3b-d86c-422b-b134-6c3f819cf9e2 · outbound

This paper cites and Zheng, C.: Universal Gaussian fluctuations on the discrete Poisson chaos.

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core and Zheng, C.: Universal Gaussian fluctuations on the discrete Poisson chaos

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T00:39:00.479080Z

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Unavailable: canonical work link unavailable.

Observation 3608e514-98b7-46cf-a829-50cdd323e79a · outbound

This paper cites Lecture Notes in Mathematics 1982, Springer, Berlin, 2009.

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core Lecture Notes in Mathematics 1982, Springer, Berlin, 2009

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T00:39:00.561353Z

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Observation 3379ef24-d62c-4734-8347-aa6e8ef62d42 · outbound

This paper cites an unresolved cited work.

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T00:39:00.630173Z

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Unavailable: canonical work link unavailable.

Observation 9aa2e6ef-c39d-4c61-b760-133861522ad8 · outbound

This paper cites an unresolved cited work.

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T00:39:00.718026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88159cc0-5c7d-415a-8699-524334cd6774 · outbound

This paper cites an unresolved cited work.

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T00:39:00.790744Z

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Unavailable: canonical work link unavailable.

Pith citing papers

Observation 63f9437a-1663-4c0e-bce8-ac14e61b6042 · inbound

Four-moment criteria for Poisson convergence on Poisson and Rademacher chaoses cites this paper.

Four-moment criteria for Poisson convergence on Poisson and Rademacher chaoses A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core

Reference 54

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:21:50.413202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.