Paper Citation Record · LEDGER

Simple Norm Bounds for Polynomial Random Matrices via Decoupling

As of 13 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2412.07936.

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

pith.paper-citation-record.v1
2412.07936 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T18:36:41.563524Z

measured 43 of 43 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 2026-08-11T04:53:13.341683Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T04:53:13.378611Z

Reference resolution

42 of 42 outbound references displayed

verified exact1
verified fuzzy29
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 18429b5c-caf7-4e5e-9b9d-38160193df02 · outbound

This paper cites Matrix poincar \'e inequalities and concentration.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Matrix poincar \'e inequalities and concentration

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:42.030127Z

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 3f94a906-3b9e-4bc9-b83c-11a55fcf4cfa · outbound

This paper cites Graph Matrices: Norm Bounds and Applications.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Graph Matrices: Norm Bounds and Applications

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T18:36:41.427962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8746811f-bc1d-4da8-a9d9-294ce6c3666d · outbound

This paper cites Concentration inequalities for non-lipschitz functions with bounded derivatives of higher order.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Concentration inequalities for non-lipschitz functions with bounded derivatives of higher order

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:42.021083Z

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 9cb30839-4286-4e01-989a-209b478e8d7c · outbound

This paper cites Moment inequalities for functions of independent random variables.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Moment inequalities for functions of independent random variables

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:42.009941Z

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 9797890b-5879-481d-a379-25c9b2d494bd · outbound

This paper cites Matrix concentration inequalities and free probability.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Matrix concentration inequalities and free probability

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.999500Z

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 f9880123-3476-4888-8c74-16374997ed84 · outbound

This paper cites Higher order concentration of measure.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Higher order concentration of measure

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.990384Z

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 76faf95b-bf19-457e-bd01-2ec577c1d125 · outbound

This paper cites A nearly tight sum-of-squares lower bound for the planted clique problem.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling A nearly tight sum-of-squares lower bound for the planted clique problem

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.980494Z

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 8a2f42ea-e236-4737-9c54-0c50be4f4aa3 · outbound

This paper cites Kothari, and Jeff Xu.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Kothari, and Jeff Xu

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.969809Z

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 d3e74c65-94ff-44a7-aa20-da2d0a838414 · outbound

This paper cites Resolving matrix S pencer conjecture up to poly-logarithmic rank.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Resolving matrix S pencer conjecture up to poly-logarithmic rank

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.961150Z

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 43a2d507-499f-493c-ae38-ac832281ae29 · outbound

This paper cites Universality and sharp matrix concentration inequalities.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Universality and sharp matrix concentration inequalities

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T18:36:41.455797Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0050b890-e8bd-44ee-92ac-5adeaf23dadc · outbound

This paper cites Fast algorithm for overcomplete order-3 tensor decomposition.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Fast algorithm for overcomplete order-3 tensor decomposition

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.951395Z

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 8f57c53e-9bb5-475c-85c0-b74cacca253c · outbound

This paper cites an unresolved cited work.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-11T18:36:41.942156Z

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 0fe7dba7-357f-4437-97cd-59e1008450f9 · outbound

This paper cites Random Tensors.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Random Tensors

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.932679Z

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 27f79468-d331-406b-8e74-18c5c8ff18fa · outbound

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

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Tensor principal component analysis via sum-of-square proofs

Reference 14

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8bc6bfa2-f368-4273-a39c-a52b0830f2ee · outbound

This paper cites A robust spectral algorithm for overcomplete tensor decomposition.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling A robust spectral algorithm for overcomplete tensor decomposition

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T18:36:41.474001Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39bed350-9453-4b56-aea2-38e548a3156a · outbound

This paper cites Fast spectral algorithms from sum-of-squares proofs: tensor decomposition and planted sparse vectors.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Fast spectral algorithms from sum-of-squares proofs: tensor decomposition and planted sparse vectors

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.915159Z

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 66d31e1c-9192-4662-900b-2ec35eb2465a · outbound

This paper cites an unresolved cited work.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-11T18:36:41.906250Z

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 fca27f77-d396-49fe-acb1-af23b177ddfe · outbound

This paper cites an unresolved cited work.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-11T18:36:41.898722Z

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 859238ba-4ca5-4706-96ac-fd0eba99710e · outbound

This paper cites Sum-of-squares lower bounds for sparse independent set.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Sum-of-squares lower bounds for sparse independent set

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.890883Z

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 707c7ee7-400c-4eaa-ad50-220971bede4d · outbound

This paper cites Exact nuclear norm, completion and decomposition for random overcomplete tensors via degree-4 SOS.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Exact nuclear norm, completion and decomposition for random overcomplete tensors via degree-4 SOS

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-11T18:36:41.689403Z

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 4efd2c5a-09b7-4b89-bd7a-d6930d45186a · outbound

This paper cites Concentration of multivariate polynomials and its applications.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Concentration of multivariate polynomials and its applications

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.883401Z

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 c70f7718-cb5c-45c9-92e7-9eca58317375 · outbound

This paper cites Decoupling Inequalities for Polynomial Chaos.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Decoupling Inequalities for Polynomial Chaos

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.875491Z

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 b59fed03-1958-4154-b941-70c084057f59 · outbound

This paper cites Estimates of moments and tails of gaussian chaoses.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Estimates of moments and tails of gaussian chaoses

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.867197Z

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 f20cf86c-eb0a-4b59-9eff-e4bdf5cda19e · outbound

This paper cites A note on quantum expanders, 2023.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling A note on quantum expanders, 2023

Reference 24

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Source-reported events for the cited work

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Observation 7183a770-9f0d-49b0-95db-9383d82d1f9a · outbound

This paper cites Matrix concentration inequalities via the method of exchangeable pairs.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Matrix concentration inequalities via the method of exchangeable pairs

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.859765Z

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 6de91610-d588-4d5a-bbe8-a17509f207e3 · outbound

This paper cites McConnell and Murad S.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling McConnell and Murad S

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.851075Z

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 9fd88792-59b7-4978-9d1c-8cc80002ab2b · outbound

This paper cites Spectral methods from tensor networks.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Spectral methods from tensor networks

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.842922Z

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 cede0482-bc79-4f46-901c-b0f90a8a8456 · outbound

This paper cites Rivasseau.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Rivasseau

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.833235Z

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 c8e25ee1-f26f-4a9d-8595-fa9d8406417b · outbound

This paper cites New perspectives and tools for Tensor Principal Component Analysis and beyond.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling New perspectives and tools for Tensor Principal Component Analysis and beyond

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.824941Z

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 1406acd9-080e-4d8e-83a3-8eeb2b37063d · outbound

This paper cites Polynomial bounds for decoupling, with applications.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Polynomial bounds for decoupling, with applications

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.814835Z

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 d80b05f8-1786-492a-97d1-e2038c6c20aa · outbound

This paper cites Peña and Evarist Giné.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Peña and Evarist Giné

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.804579Z

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 d68d2e2d-8a14-4a75-998d-8f6172406895 · outbound

This paper cites Pena and S.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Pena and S

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.795554Z

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 73755bdb-128b-4f68-8468-d4ab0d464569 · outbound

This paper cites an unresolved cited work.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-11T18:36:41.786840Z

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 98e53ccf-0d15-4a93-a04a-434bd246a625 · outbound

This paper cites Nonlinear R andom M atrices and A pplications to the S um of S quares H ierarchy.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Nonlinear R andom M atrices and A pplications to the S um of S quares H ierarchy

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.778030Z

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 2da6cf0c-bc93-496a-8e6b-8cf8ac700b31 · outbound

This paper cites Compressive sensing and structured random matrices.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Compressive sensing and structured random matrices

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.766734Z

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 676fad9b-2641-4cba-8869-a5ba5d345b95 · outbound

This paper cites A statistical model for tensor pca.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling A statistical model for tensor pca

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.757842Z

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 7d727d3c-bdf0-410e-ac69-c7a835627c37 · outbound

This paper cites Concentration of polynomial random matrices via efron-stein inequalities.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Concentration of polynomial random matrices via efron-stein inequalities

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.745622Z

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 94db9f79-b746-4202-8d9e-f1798bf868cd · outbound

This paper cites Trace inequalities for matrices.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Trace inequalities for matrices

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.734863Z

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 c82251cb-5155-4178-9ae4-4f66dcfb33dd · outbound

This paper cites Bernstein-like Concentration and Moment Inequalities for Polynomials of Independent Random Variables: Multilinear Case.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Bernstein-like Concentration and Moment Inequalities for Polynomials of Independent Random Variables: Multilinear Case

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-11T18:36:41.553178Z

Source-reported events for the cited work

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Observation 738cf77c-75ed-4d8b-b433-6498655e5836 · outbound

This paper cites Concentration and moment inequalities for polynomials of independent random variables.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Concentration and moment inequalities for polynomials of independent random variables

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T18:36:41.724181Z

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 c5a6ed4d-0db4-4ac7-a9a0-5f23277613d5 · outbound

This paper cites an unresolved cited work.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-11T18:36:41.560013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc80a775-b8f6-47c5-8dd7-8aaafc1f2c6f · outbound

This paper cites High-Dimensional Probability: An Introduction with Applications in Data Science.

Simple Norm Bounds for Polynomial Random Matrices via Decoupling High-Dimensional Probability: An Introduction with Applications in Data Science

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-11T18:36:41.563524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

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

Matrix Chaos Inequalities and Chaos of Combinatorial Type cites this paper.

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 2026-08-13T06:32:02.005865+00:00.