Paper Citation Record · LEDGER

Matrix Chaos Inequalities and Chaos of Combinatorial Type

As of 13 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 2 inbound Pith citation observations for arXiv:2412.18468.

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

pith.paper-citation-record.v1
2412.18468 v2

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T04:53:13.348827Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T02:42:58.322351Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

38 of 38 outbound references displayed

verified exact2
verified fuzzy26
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 708699f2-bef9-4148-a15b-86570afd79d9 · outbound

This paper cites Moments of G aussian chaoses in B anach spaces.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Moments of G aussian chaoses in B anach spaces

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.943411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 83479273-ef89-41fc-a9ab-1ea577c786ef · outbound

This paper cites Graph Matrices: Norm Bounds and Applications.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Graph Matrices: Norm Bounds and Applications

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T04:53:13.219392Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ab9f30d6-418d-49a0-a5f0-a66e33590155 · outbound

This paper cites Bandeira, March T.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Bandeira, March T

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T04:53:13.223518Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b19d13b-a5d0-444d-bace-7d8561ed7e8d · outbound

This paper cites an unresolved cited work.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T04:53:13.227277Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5084b3d1-302e-4cf6-afa3-6cf6526112a4 · outbound

This paper cites Hopkins, Jonathan A.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Hopkins, Jonathan A

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.925195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c1bd99b7-f405-4d3a-850a-5fa4802a8655 · outbound

This paper cites Bandeira, Kevin Lucca, Petar Nizi\'c-Nikolac , and Ramon van Handel.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Bandeira, Kevin Lucca, Petar Nizi\'c-Nikolac , and Ramon van Handel

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.913935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9479a284-46eb-4707-a898-dd2b5506d060 · outbound

This paper cites Bandeira, Antoine Maillard, Shahar Mendelson, and Elliot Paquette.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Bandeira, Antoine Maillard, Shahar Mendelson, and Elliot Paquette

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.902192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ba1e23ab-e991-449f-a8af-d70f0a32dcc6 · outbound

This paper cites Universality and S harp M atrix C oncentration I nequalities.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Universality and S harp M atrix C oncentration I nequalities

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.891251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0a1b1df8-2e51-457c-9815-33cacb4c514d · outbound

This paper cites On Mixing Distributions Via Random Orthogonal Matrices and the Spectrum of the Singular Values of Multi-Z Shaped Graph Matrices.

Matrix Chaos Inequalities and Chaos of Combinatorial Type On Mixing Distributions Via Random Orthogonal Matrices and the Spectrum of the Singular Values of Multi-Z Shaped Graph Matrices

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-11T04:53:13.546763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f4a955e9-d020-49c6-8626-685a54d7007c · outbound

This paper cites Lower bounds in differential privacy.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Lower bounds in differential privacy

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.880936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 113ad6bd-46bf-4ba4-bc30-008d86f9d5e5 · outbound

This paper cites de la Pe \ n a and E.

Matrix Chaos Inequalities and Chaos of Combinatorial Type de la Pe \ n a and E

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.870158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 47d6d79c-ab35-4c17-8bcb-d02b4c3ac9b3 · outbound

This paper cites Nahmod, and Haitian Yue.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Nahmod, and Haitian Yue

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.858862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 29b56fa4-551d-4b30-a0e8-594f466a7d32 · outbound

This paper cites Kronecker-product random matrices and a matrix least squares problem.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Kronecker-product random matrices and a matrix least squares problem

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T04:53:13.261634Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04811784-9df3-4632-855a-11438821b321 · outbound

This paper cites A proof of M enger's theorem by contraction.

Matrix Chaos Inequalities and Chaos of Combinatorial Type A proof of M enger's theorem by contraction

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.848603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2cf77f83-d721-4d83-80bf-80ea80e64c3c · outbound

This paper cites Kothari, Aaron Potechin, and Jeff Xu.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Kothari, Aaron Potechin, and Jeff Xu

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.837810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a89a6a45-6190-452e-a692-8f695da9eb50 · outbound

This paper cites Statistical inference and the sum of squares method.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Statistical inference and the sum of squares method

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.826962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 019f1740-62c0-4fb8-a72e-ad33f191f0f6 · outbound

This paper cites Bounded linear operators between C^ -algebras.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Bounded linear operators between C^ -algebras

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.815834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0eb8d7ad-314d-4f43-95b8-61c4602751e9 · outbound

This paper cites Tensor principal component analysis via sum-of-square proofs.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Tensor principal component analysis via sum-of-square proofs

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-11T04:53:13.278315Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3cd5fee3-6cbc-431a-a918-262e05f93864 · outbound

This paper cites Noncommutative B ennett and R osenthal inequalities.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Noncommutative B ennett and R osenthal inequalities

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.797704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6ba67ea5-c4fc-4d6e-b93b-51a5ab8ab348 · outbound

This paper cites an unresolved cited work.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:53:13.787463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 08081534-d4e5-40cb-81d7-b7a8b39540a7 · outbound

This paper cites The price of privately releasing contingency tables and the spectra of random matrices with correlated rows.

Matrix Chaos Inequalities and Chaos of Combinatorial Type The price of privately releasing contingency tables and the spectra of random matrices with correlated rows

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.777910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ea916f08-add6-4930-8fb6-ad674bc02246 · outbound

This paper cites On the best constant in the K hinchin- K ahane inequality.

Matrix Chaos Inequalities and Chaos of Combinatorial Type On the best constant in the K hinchin- K ahane inequality

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.767823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e994ff76-0d63-4e74-877b-03e1ff00c31e · outbound

This paper cites A note on quantum expanders.

Matrix Chaos Inequalities and Chaos of Combinatorial Type A note on quantum expanders

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-11T04:53:13.295369Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4282745-7c71-4554-84d1-bae51c346c80 · outbound

This paper cites Jordan, Richard Y.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Jordan, Richard Y

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.756705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1bac21c9-3715-4019-8f9e-d5e1c04e9b7c · outbound

This paper cites Bounds on the norms of uniform low degree graph matrices.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Bounds on the norms of uniform low degree graph matrices

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.745963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a00669f6-7594-4c27-93fd-f846a8eca832 · outbound

This paper cites Sum-of-squares lower bounds for planted clique.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Sum-of-squares lower bounds for planted clique

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.734743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b5fbd1c0-aaf6-4054-be4e-39a729feb491 · outbound

This paper cites Polynomial-time tensor decompositions with sum-of-squares.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Polynomial-time tensor decompositions with sum-of-squares

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.723822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a5021786-f574-4a3e-be8e-00174b748e02 · outbound

This paper cites Moment inequalities for matrix-valued U -statistics of order 2.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Moment inequalities for matrix-valued U -statistics of order 2

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.712896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3db8958c-1ce3-4a5e-98de-c42eef168406 · outbound

This paper cites Introduction to operator space theory , volume 294 of London Mathematical Society Lecture Note Series.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Introduction to operator space theory , volume 294 of London Mathematical Society Lecture Note Series

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.700410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ca892a5e-299c-4901-8a27-1d717b505fa2 · outbound

This paper cites Random matrices and subexponential operator spaces.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Random matrices and subexponential operator spaces

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.689070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3d2b2af6-05dd-4ff6-8722-7b02e5a94ed3 · outbound

This paper cites Machinery for Proving Sum-of-Squares Lower Bounds on Certification Problems.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Machinery for Proving Sum-of-Squares Lower Bounds on Certification Problems

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-11T04:53:13.323972Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d48d8f3c-3a8e-469e-b91b-a0becc8cf9bd · outbound

This paper cites Circulant and Toeplitz Matrices in Compressed Sensing.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Circulant and Toeplitz Matrices in Compressed Sensing

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.677960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 74676376-144e-4b63-a378-60f610c89ec3 · outbound

This paper cites Concentration of polynomial random matrices via E fron- S tein inequalities.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Concentration of polynomial random matrices via E fron- S tein inequalities

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.666360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6fd3b578-71f1-4b68-9ab6-e713c1dac0a6 · outbound

This paper cites Row products of random matrices.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Row products of random matrices

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.654759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d9a34410-8b18-46e0-9b5a-87c8332d7530 · outbound

This paper cites An introduction to matrix concentration inequalities.

Matrix Chaos Inequalities and Chaos of Combinatorial Type An introduction to matrix concentration inequalities

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-11T04:53:13.337954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a66c101c-ed46-49b3-a590-414d699de985 · outbound

This paper cites Simple Norm Bounds for Polynomial Random Matrices via Decoupling.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Simple Norm Bounds for Polynomial Random Matrices via Decoupling

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-11T04:53:13.385656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5211722a-a2d3-4420-91d2-39c54d6de935 · outbound

This paper cites Ellipsoid fitting up to constant via empirical covariance estimation.

Matrix Chaos Inequalities and Chaos of Combinatorial Type Ellipsoid fitting up to constant via empirical covariance estimation

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:53:13.636181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 281ff159-da8b-4384-816f-83d3d77c75c1 · outbound

This paper cites High-dimensional probability , volume 47 of Cambridge Series in Statistical and Probabilistic Mathematics.

Matrix Chaos Inequalities and Chaos of Combinatorial Type High-dimensional probability , volume 47 of Cambridge Series in Statistical and Probabilistic Mathematics

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-11T04:53:13.348827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 1ea0a9ec-8196-4245-8dfc-749bd9bf27fe · inbound

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs cites this paper.

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs Matrix Chaos Inequalities and Chaos of Combinatorial Type

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-02T02:42:58.322351Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc840384-32ed-4f1b-b9bf-9d12002fe932 · inbound

Algebraic Transfer for Operator-Valued Gaussian Chaoses:Oriented Schatten Profiles and Singular Wick Multipliers cites this paper.

Algebraic Transfer for Operator-Valued Gaussian Chaoses:Oriented Schatten Profiles and Singular Wick Multipliers Matrix Chaos Inequalities and Chaos of Combinatorial Type

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T20:12:00.865336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.