Paper Citation Record · LEDGER

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences

As of 11 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2507.00572.

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

pith.paper-citation-record.v1
2507.00572 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:27:57.771191Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-23T03:35:08.104608Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T03:35:20.640442Z

Reference resolution

32 of 32 outbound references displayed

verified exact1
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d066fb08-fa98-4bad-96c6-0199bceaafde · outbound

This paper cites write newline.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences write newline

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04af3fe8-8055-4355-ac5d-5be5382bf33a · outbound

This paper cites Handbook on Semidefinite, Conic and Polynomial Optimization , volume 166.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences Handbook on Semidefinite, Conic and Polynomial Optimization , volume 166

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:58.035879Z

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Observation d2cea1fd-986b-418a-bbac-7b55a90bec59 · outbound

This paper cites Real Algebraic Geometry.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences Real Algebraic Geometry

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:58.028661Z

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Observation 5ead0cb2-d2e3-45ab-8508-7194eb9ad192 · outbound

This paper cites Characterizations of ojasiewicz inequalities: subgradient flows, talweg, convexity.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences Characterizations of ojasiewicz inequalities: subgradient flows, talweg, convexity

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:58.020622Z

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Observation 4100fa0d-59d8-4251-a194-841ada6bb819 · outbound

This paper cites Bertsekas.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences Bertsekas

Reference 5

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Observation c33f7629-244a-40c5-b1c5-4000c3f25583 · outbound

This paper cites On the effective Putinar 's Positivstellensatz and moment approximation.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences On the effective Putinar 's Positivstellensatz and moment approximation

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:58.004952Z

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Observation 43314fc3-0243-4918-8841-816aaedcedb5 · outbound

This paper cites On Łojasiewicz inequalities and the effective P utinar’s P ositivstellensatz.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences On Łojasiewicz inequalities and the effective P utinar’s P ositivstellensatz

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:57.997362Z

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Observation ff98c22a-01ac-4b7a-9684-d7b13348dbbe · outbound

This paper cites The distance to a polyhedron.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences The distance to a polyhedron

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:57.988823Z

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Observation d78e5f5e-ec0a-4435-94bf-65a257117f98 · outbound

This paper cites The proof of Tchakaloff 's Theorem.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences The proof of Tchakaloff 's Theorem

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:57.980645Z

Source-reported events for the cited work

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Observation a9aaaf12-8f44-4802-a1fe-92e0e33f1f4d · outbound

This paper cites Drusvyatskiy, A.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences Drusvyatskiy, A

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:57.973941Z

Source-reported events for the cited work

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Observation cb15d214-69f0-4385-850c-c014c1f74aa0 · outbound

This paper cites Error bounds for some semidefinite programming approaches to polynomial minimization on the hypercube.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences Error bounds for some semidefinite programming approaches to polynomial minimization on the hypercube

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:57.966104Z

Source-reported events for the cited work

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Observation 0e8d234c-c725-43cc-912c-c80cf0c5ce86 · outbound

This paper cites The sum-of-squares hierarchy on the sphere and applications in quantum information theory.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences The sum-of-squares hierarchy on the sphere and applications in quantum information theory

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:57.958896Z

Source-reported events for the cited work

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Observation d26c3ac3-7e78-4c68-902e-10edd8ee6711 · outbound

This paper cites Sparse sums of squares on finite abelian groups and improved semidefinite lifts.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences Sparse sums of squares on finite abelian groups and improved semidefinite lifts

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:57.951889Z

Source-reported events for the cited work

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Observation 81b1738a-27d2-4c3c-9967-e6e28382f7a6 · outbound

This paper cites Square distance functions are Polyak-{\L}ojasiewicz and vice-versa.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences Square distance functions are Polyak-{\L}ojasiewicz and vice-versa

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:27:57.805744Z

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Observation 926dab74-9cae-47eb-9969-f6970f3b7f0a · outbound

This paper cites Strong duality in L asserre's hierarchy for polynomial optimization.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences Strong duality in L asserre's hierarchy for polynomial optimization

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:57.943425Z

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Observation 2fe8691d-34a4-4b71-8b26-4de5c69b9951 · outbound

This paper cites Convergence rates of RLT and Lasserre -type hierarchies for the generalized moment problem over the simplex and the sphere.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences Convergence rates of RLT and Lasserre -type hierarchies for the generalized moment problem over the simplex and the sphere

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:57.934802Z

Source-reported events for the cited work

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Observation 5a00db82-8efd-47c7-9201-d89414ff0386 · outbound

This paper cites Global optimization with polynomials and the problem of moments.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences Global optimization with polynomials and the problem of moments

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:57.925726Z

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Observation 4a9b9e3e-d3aa-40f8-a2f4-6ec1383690f4 · outbound

This paper cites Lasserre.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences Lasserre

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:57.916998Z

Source-reported events for the cited work

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Observation 98297900-ea68-4185-90f0-572015875306 · outbound

This paper cites Moments, Positive Polynomials and their Applications , volume 1.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences Moments, Positive Polynomials and their Applications , volume 1

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:57.908225Z

Source-reported events for the cited work

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Observation 5621e1d5-959b-4aaa-9e3d-7eb5315e4d54 · outbound

This paper cites A new look at nonnegativity on closed sets and polynomial optimization.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences A new look at nonnegativity on closed sets and polynomial optimization

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:57.901994Z

Source-reported events for the cited work

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Observation f1083ea0-cd41-4950-bd64-a884ca7510b2 · outbound

This paper cites An Introduction to Polynomial and Semi-algebraic Optimization , volume 52.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences An Introduction to Polynomial and Semi-algebraic Optimization , volume 52

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:57.895562Z

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Observation 8ed531de-eab3-46bc-a50d-f7b223242afc · outbound

This paper cites An effective version of S chm \"u dgen’s P ositivstellensatz for the hypercube.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences An effective version of S chm \"u dgen’s P ositivstellensatz for the hypercube

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:57.888350Z

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Observation fd2cdce8-7803-4912-b624-38f40215cf13 · outbound

This paper cites On the complexity of Putinar 's Positivstellensatz.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences On the complexity of Putinar 's Positivstellensatz

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:57.880624Z

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Observation a1ea9ad0-d1bc-41c9-b00f-da3b18c03a85 · outbound

This paper cites Positive polynomials on compact semi-algebraic sets.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences Positive polynomials on compact semi-algebraic sets

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:57.873585Z

Source-reported events for the cited work

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Observation 189d1ef3-63f4-4827-80fd-2e20b79382bf · outbound

This paper cites A note on Tchakaloff 's theorem.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences A note on Tchakaloff 's theorem

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:57.866466Z

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Observation 692c5857-89d2-4d86-bb6b-0d46a71a7a46 · outbound

This paper cites Tyrrell Rockafellar and Roger J.-B.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences Tyrrell Rockafellar and Roger J.-B

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:57.858782Z

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Observation cfaf2945-2494-4885-ade4-1857f6545246 · outbound

This paper cites On the complexity of Schm \"u dgen 's Positivstellensatz.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences On the complexity of Schm \"u dgen 's Positivstellensatz

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:57.850006Z

Source-reported events for the cited work

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Observation ff3f76cb-fc0c-48e4-b9be-9ef82809ab07 · outbound

This paper cites Near-optimal analysis of Lasserre 's univariate measure-based bounds for multivariate polynomial optimization.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences Near-optimal analysis of Lasserre 's univariate measure-based bounds for multivariate polynomial optimization

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:57.839344Z

Source-reported events for the cited work

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Observation 92ffdf7f-a623-456c-bf19-71c31bdf61b0 · outbound

This paper cites Sum-of-squares hierarchies for polynomial optimization and the Christoffel-Darboux kernel.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences Sum-of-squares hierarchies for polynomial optimization and the Christoffel-Darboux kernel

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T21:27:57.763730Z

Source-reported events for the cited work

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Observation a6b43bdf-e149-4e11-b1f1-34f4cc1e3699 · outbound

This paper cites u dgen and Konrad Schm \.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences u dgen and Konrad Schm \

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:57.831088Z

Source-reported events for the cited work

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Observation f754f378-d77e-4ab8-b221-9b03893224c1 · outbound

This paper cites Exact semidefinite programming relaxations with truncated moment matrix for binary polynomial optimization problems.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences Exact semidefinite programming relaxations with truncated moment matrix for binary polynomial optimization problems

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:57.823837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 45f0bec9-e12a-4eaa-9859-704a304c5a2f · outbound

This paper cites The restricted strong convexity revisited: analysis of equivalence to error bound and quadratic growth.

On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences The restricted strong convexity revisited: analysis of equivalence to error bound and quadratic growth

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:27:57.815378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation d338845b-3c7d-47d8-99ec-43cf0d4879d3 · inbound

Sum-of-Squares Hierarchy for the Gromov Wasserstein Problem cites this paper.

Sum-of-Squares Hierarchy for the Gromov Wasserstein Problem On the convergence rates of moment-SOS hierarchies approximation of truncated moment sequences

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-23T03:35:20.643573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.