Paper Citation Record · LEDGER

Partially-Commutative Polynomial Optimization

As of 18 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2607.08841.

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

pith.paper-citation-record.v1
2607.08841 v2

Coverage vector

measured 45 of 45 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-14T15:28:19.746128Z

measured 45 of 45 standing notices

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

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measured 0 of 1 external citation measurements

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Reference resolution

45 of 45 outbound references displayed

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Outbound references

Observation 48541e2c-e038-46b1-b535-347e0d6dcaf1 · outbound

This paper cites The tracial moment problem and trace-optimization of polynomials.

Partially-Commutative Polynomial Optimization The tracial moment problem and trace-optimization of polynomials

Reference 1

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Observation 3e81452c-43f2-48f6-a2f4-7d2c092d0e15 · outbound

This paper cites Bell nonlocality.

Partially-Commutative Polynomial Optimization Bell nonlocality

Reference 2

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Observation 40a12a5c-4f8c-49a2-913a-a29584ac6c60 · outbound

This paper cites Device-independent lower bounds on the conditional von N eumann entropy.

Partially-Commutative Polynomial Optimization Device-independent lower bounds on the conditional von N eumann entropy

Reference 3

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Observation b142a4e1-d9ed-4d5f-9b02-c23ff1a20d6e · outbound

This paper cites Sum-of-squares decompositions for a family of C lauser- H orne- S himony- H olt-like inequalities and their application to self-testing.

Partially-Commutative Polynomial Optimization Sum-of-squares decompositions for a family of C lauser- H orne- S himony- H olt-like inequalities and their application to self-testing

Reference 4

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Observation aca42795-a8fa-474e-8c07-12f724aef058 · outbound

This paper cites Gr\"obner- S hirshov bases for C oxeter groups.

Partially-Commutative Polynomial Optimization Gr\"obner- S hirshov bases for C oxeter groups

Reference 5

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Observation 376588fc-b00f-4746-ab54-378336756002 · outbound

This paper cites Applications probabilistes , volume 85 of Lecture Notes on Mathematics.

Partially-Commutative Polynomial Optimization Applications probabilistes , volume 85 of Lecture Notes on Mathematics

Reference 6

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Observation 94a854f3-8bf1-487a-81f4-f8a4c2d18313 · outbound

This paper cites Toric heaps, cyclic reducibility, and conjugacy in C oxeter groups.

Partially-Commutative Polynomial Optimization Toric heaps, cyclic reducibility, and conjugacy in C oxeter groups

Reference 7

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Observation b40b7b93-717b-4d00-a53e-edffcea6a894 · outbound

This paper cites The quantum moment problem and bounds on entangled multi-prover games.

Partially-Commutative Polynomial Optimization The quantum moment problem and bounds on entangled multi-prover games

Reference 8

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Observation ae66d1bf-f8ea-4dc5-a273-02d19f2bbad6 · outbound

This paper cites Partial commutation and traces.

Partially-Commutative Polynomial Optimization Partial commutation and traces

Reference 9

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Observation 244d5eb8-c200-4083-9b24-8daffb56a726 · outbound

This paper cites Toric partial orders.

Partially-Commutative Polynomial Optimization Toric partial orders

Reference 10

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Observation 06a2b4bb-ac29-4ccd-811b-e1a37af7888e · outbound

This paper cites The book of traces.

Partially-Commutative Polynomial Optimization The book of traces

Reference 11

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Observation 2668ffd1-18a4-40e3-b171-eeb19df400b0 · outbound

This paper cites On some equations in free partially commutative monoids.

Partially-Commutative Polynomial Optimization On some equations in free partially commutative monoids

Reference 12

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Observation d0a1a339-2324-4805-8e49-d77910bcfc38 · outbound

This paper cites Bounds on entanglement dimensions and quantum graph parameters via noncommutative polynomial optimization.

Partially-Commutative Polynomial Optimization Bounds on entanglement dimensions and quantum graph parameters via noncommutative polynomial optimization

Reference 13

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Observation 8822655c-d08d-46ee-b74d-f8e5da61e1d6 · outbound

This paper cites Connes' embedding problem and T sirelson's problem.

Partially-Commutative Polynomial Optimization Connes' embedding problem and T sirelson's problem

Reference 14

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Observation ea2d7a9f-9e4a-4e7b-93c8-ae33773b7a55 · outbound

This paper cites MIP ^*= RE.

Partially-Commutative Polynomial Optimization MIP ^*= RE

Reference 15

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Observation ea33daac-72ad-42c7-9980-fa9e3e42e0cc · outbound

This paper cites Simple word problems in universal algebras.

Partially-Commutative Polynomial Optimization Simple word problems in universal algebras

Reference 16

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Observation b8081865-f41a-42d7-9e28-2aec91bacd7a · outbound

This paper cites Optimization over trace polynomials.

Partially-Commutative Polynomial Optimization Optimization over trace polynomials

Reference 17

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Observation 09ca8dce-359e-464b-979e-1aa03f3fd03a · outbound

This paper cites State polynomials: positivity, optimization and nonlinear B ell inequalities.

Partially-Commutative Polynomial Optimization State polynomials: positivity, optimization and nonlinear B ell inequalities

Reference 18

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Observation d659352e-251a-4d90-9d61-5accafc05f28 · outbound

This paper cites Constrained trace-optimization of polynomials in freely noncommuting variables.

Partially-Commutative Polynomial Optimization Constrained trace-optimization of polynomials in freely noncommuting variables

Reference 19

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Observation 343d31f5-f765-489d-b78c-d8539522b227 · outbound

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

Partially-Commutative Polynomial Optimization Global optimization with polynomials and the problem of moments

Reference 20

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Observation 463c01fd-ce2b-4633-ab5e-d6fcb04f9ee5 · outbound

This paper cites Sums of squares, moment matrices and optimization over polynomials.

Partially-Commutative Polynomial Optimization Sums of squares, moment matrices and optimization over polynomials

Reference 21

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Observation 7fe49818-eb5b-470a-8e22-c7c253c8b090 · outbound

This paper cites Algebraic Combinatorics on Words , volume 90 of Encyclopedia of Mathematics and its Applications.

Partially-Commutative Polynomial Optimization Algebraic Combinatorics on Words , volume 90 of Encyclopedia of Mathematics and its Applications

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-14T15:28:19.746128Z

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Observation ea665176-07a6-4361-ba41-478d9d12acd1 · outbound

This paper cites Certifying long-range quantum correlations through routed B ell tests.

Partially-Commutative Polynomial Optimization Certifying long-range quantum correlations through routed B ell tests

Reference 23

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Observation cc2e1992-e474-49c0-a889-5b2c53eb872a · outbound

This paper cites Efficient solution of some problems in free partially commutative monoids.

Partially-Commutative Polynomial Optimization Efficient solution of some problems in free partially commutative monoids

Reference 24

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Observation a10e8cc1-3564-4aa8-a980-7ada43a01d57 · outbound

This paper cites Concurrent program schemes and their interpretations.

Partially-Commutative Polynomial Optimization Concurrent program schemes and their interpretations

Reference 25

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Observation 7e29dbde-d6ec-4bdc-adc3-74c8ded9e503 · outbound

This paper cites PCPOP.jl , 2026.

Partially-Commutative Polynomial Optimization PCPOP.jl , 2026

Reference 26

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Observation 079496ce-befc-445a-85ae-169531642694 · outbound

This paper cites PCPOP .jl: A julia package for partially commutative polynomial optimization, 2026.

Partially-Commutative Polynomial Optimization PCPOP .jl: A julia package for partially commutative polynomial optimization, 2026

Reference 27

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Observation 4ed1009f-c5e5-44da-9347-d697926f4813 · outbound

This paper cites An introduction to commutative and noncommutative G r \"o bner bases.

Partially-Commutative Polynomial Optimization An introduction to commutative and noncommutative G r \"o bner bases

Reference 28

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Observation 3f07af89-671c-4e9c-9ddc-16abc554243c · outbound

This paper cites Bounding the set of quantum correlations.

Partially-Commutative Polynomial Optimization Bounding the set of quantum correlations

Reference 29

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Observation 17234e92-d606-4df3-bd9b-a01a3f8b3ad2 · outbound

This paper cites A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations.

Partially-Commutative Polynomial Optimization A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations

Reference 30

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Observation cf6974c6-c522-4d2f-a21b-c974ae53ca6b · outbound

This paper cites Bounding the set of finite dimensional quantum correlations.

Partially-Commutative Polynomial Optimization Bounding the set of finite dimensional quantum correlations

Reference 31

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Observation 0b78cfdb-181f-4b05-b52f-79dbb4677124 · outbound

This paper cites Semidefinite programming relaxations for semialgebraic problems.

Partially-Commutative Polynomial Optimization Semidefinite programming relaxations for semialgebraic problems

Reference 32

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Observation f907adde-c3f0-4b92-a8db-0fcb99d434db · outbound

This paper cites Exploiting algebraic structure in sum of squares programs.

Partially-Commutative Polynomial Optimization Exploiting algebraic structure in sum of squares programs

Reference 33

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Observation 9c522d4e-ec2e-44cf-96ed-9bf53b369cce · outbound

This paper cites Convergent relaxations of polynomial optimization problems with noncommuting variables.

Partially-Commutative Polynomial Optimization Convergent relaxations of polynomial optimization problems with noncommuting variables

Reference 34

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Observation f1b953d8-b0d3-43c6-a03d-930cab7e2dea · outbound

This paper cites On reorienting graphs by pushing down maximal vertices.

Partially-Commutative Polynomial Optimization On reorienting graphs by pushing down maximal vertices

Reference 35

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Observation 561f7b0e-c69e-4f1a-9715-6319b048f994 · outbound

This paper cites Prepare-and-measure scenarios with photon-number constraints.

Partially-Commutative Polynomial Optimization Prepare-and-measure scenarios with photon-number constraints

Reference 36

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Observation cfb14398-c684-41da-a16c-c851361e615a · outbound

This paper cites Symdpoly: symmetry-adapted moment relaxations for noncommutative polynomial optimization, 2018.

Partially-Commutative Polynomial Optimization Symdpoly: symmetry-adapted moment relaxations for noncommutative polynomial optimization, 2018

Reference 37

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Observation 1c277ff4-4287-401c-a6df-8b231b28c09f · outbound

This paper cites Handbook of Formal Languages: Beyonds words , volume 3.

Partially-Commutative Polynomial Optimization Handbook of Formal Languages: Beyonds words , volume 3

Reference 38

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Observation 6ac1bcf1-e92b-465c-8d63-4c70ec1692f3 · outbound

This paper cites Semidefinite programming relaxations for quantum correlations.

Partially-Commutative Polynomial Optimization Semidefinite programming relaxations for quantum correlations

Reference 39

Resolution: unresolved; no resolver link, observed 2026-07-14T15:28:19.746128Z

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Observation 3185de72-f76f-4905-a126-1e432b133d7f · outbound

This paper cites Informationally restricted correlations: a general framework for classical and quantum systems.

Partially-Commutative Polynomial Optimization Informationally restricted correlations: a general framework for classical and quantum systems

Reference 40

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Observation 55083cb6-6972-4a8a-b95e-810b0cfadca1 · outbound

This paper cites Colloque de combinatoire \'e num \'e rative.

Partially-Commutative Polynomial Optimization Colloque de combinatoire \'e num \'e rative

Reference 41

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Observation a08dbb21-04cd-4df5-a597-585dd820f63a · outbound

This paper cites Algorithm 950: Ncpol2sdpa—sparse semidefinite programming relaxations for polynomial optimization problems of noncommuting variables.

Partially-Commutative Polynomial Optimization Algorithm 950: Ncpol2sdpa—sparse semidefinite programming relaxations for polynomial optimization problems of noncommuting variables

Reference 42

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Observation ac33e0ea-3d16-44cb-a977-c419be47e314 · outbound

This paper cites Exploiting term sparsity in noncommutative polynomial optimization.

Partially-Commutative Polynomial Optimization Exploiting term sparsity in noncommutative polynomial optimization

Reference 43

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Observation c4619b6a-29dc-4305-9311-f3e38f1d31be · outbound

This paper cites QuantumNPA.jl , 2021.

Partially-Commutative Polynomial Optimization QuantumNPA.jl , 2021

Reference 44

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Observation 9e1e737f-ff30-4ba6-8780-d9f10d609e79 · outbound

This paper cites Certifying ground-state properties of many-body systems.

Partially-Commutative Polynomial Optimization Certifying ground-state properties of many-body systems

Reference 45

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