Paper Citation Record · LEDGER

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems

As of 18 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2506.18265.

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

pith.paper-citation-record.v1
2506.18265 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:59:14.345839Z

measured 30 of 30 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

30 of 30 outbound references displayed

verified exact2
verified fuzzy25
unresolved2
parse uncertain0
malformed identifier1
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation af61a2e8-6e10-456a-bd42-7a43191356e5 · outbound

This paper cites Conic optimization: a survey with special focus on copositive optimization and binary quadratic problems.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems Conic optimization: a survey with special focus on copositive optimization and binary quadratic problems

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.965326Z

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.

Observation 8f6bd7a6-d73c-490a-8ad8-8c8a65addb8d · outbound

This paper cites Quadratic optimization problems.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems Quadratic optimization problems

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.949327Z

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.

Observation 4d6422b1-24f8-47d9-8b59-f825a05690dd · outbound

This paper cites A framework for solving mixed-integer semidefinite programs.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems A framework for solving mixed-integer semidefinite programs

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.932790Z

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.

Observation 9e6953d9-9ff5-4f19-b035-6b16f1d26116 · outbound

This paper cites Exact and approximation algorithms for sparse principal component analysis.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems Exact and approximation algorithms for sparse principal component analysis

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.914894Z

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.

Observation 04810234-3895-41a8-a294-3b5cd6c2ebcd · outbound

This paper cites Approximating k-means-type clustering via semidefinite programming.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems Approximating k-means-type clustering via semidefinite programming

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.896874Z

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.

Observation d3e427bb-3a2c-4dc8-8188-d42e2f28c30a · outbound

This paper cites Sos-sdp: an exact solver for minimum sum-of-squares clustering.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems Sos-sdp: an exact solver for minimum sum-of-squares clustering

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.878300Z

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.

Observation 8fb6e8d7-3f98-4b9a-b4e9-53a21c78e287 · outbound

This paper cites Computing restricted isometry constants via mixed-integer semidefinite programming.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems Computing restricted isometry constants via mixed-integer semidefinite programming

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.861604Z

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.

Observation 2649ceae-629e-4296-af51-7abd3759f67a · outbound

This paper cites On Integrality in Semidefinite Programming for Discrete Optimization.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems On Integrality in Semidefinite Programming for Discrete Optimization

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:59:14.450237Z

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.

Observation 0eea52d3-0e2c-44b1-a5b3-4d22b9723c0c · outbound

This paper cites The max-cut problem and quadratic 0--1 optimization; polyhedral aspects, relaxations and bounds.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems The max-cut problem and quadratic 0--1 optimization; polyhedral aspects, relaxations and bounds

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.844131Z

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.

Observation 289c43f4-2157-45d8-a4e9-e2b407aafa9d · outbound

This paper cites Community detection in graphs.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems Community detection in graphs

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.821973Z

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.

Observation 504e0d0a-a5bc-4bac-9668-34cc3a453d5f · outbound

This paper cites General Heuristics for Nonconvex Quadratically Constrained Quadratic Programming.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems General Heuristics for Nonconvex Quadratically Constrained Quadratic Programming

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T18:59:14.242347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17652b2d-7584-43d9-9e11-a8428c3ff1f1 · outbound

This paper cites Retrospective on optimization.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems Retrospective on optimization

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.801767Z

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.

Observation 45b15d00-9769-4e85-a03d-7af0c85bf738 · outbound

This paper cites On the equivalence of quadratic optimization problems commonly used in portfolio theory.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems On the equivalence of quadratic optimization problems commonly used in portfolio theory

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.779147Z

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.

Observation b0da0eef-daa1-4b30-894a-36b7715dd427 · outbound

This paper cites A branch-and-cut approach to portfolio selection with marginal risk control in a linear conic programming framework.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems A branch-and-cut approach to portfolio selection with marginal risk control in a linear conic programming framework

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.758651Z

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.

Observation f845a049-170f-4a05-8c7f-9638b771e364 · outbound

This paper cites Quadratic and higher-order unconstrained binary optimization of railway rescheduling for quantum computing.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems Quadratic and higher-order unconstrained binary optimization of railway rescheduling for quantum computing

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.736106Z

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.

Observation 8daf3a45-2f7a-4a14-a329-670b7b9b45ce · outbound

This paper cites Five Starter Problems: Solving Quadratic Unconstrained Binary Optimization Models on Quantum Computers.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems Five Starter Problems: Solving Quadratic Unconstrained Binary Optimization Models on Quantum Computers

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:59:14.397642Z

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.

Observation 8906b846-c3a4-46cb-b78c-06e2ac21b661 · outbound

This paper cites A copositive framework for analysis of hybrid Ising-classical algorithms.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems A copositive framework for analysis of hybrid Ising-classical algorithms

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.717523Z

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.

Observation 271e1c06-ff5b-4b23-a699-22bfb3fb6ffe · outbound

This paper cites Polyhedral approximation in mixed-integer convex optimization.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems Polyhedral approximation in mixed-integer convex optimization

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.697084Z

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.

Observation 6c64db62-53f6-41e4-8270-f3161457ff8f · outbound

This paper cites Matrix Analysis.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems Matrix Analysis

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T18:59:14.283329Z

Source-reported events for the cited work

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Observation cc96ef07-4f4c-4907-9fab-3e4de56c70e0 · outbound

This paper cites Instance-specific linear relaxations of semidefinite optimization problems.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems Instance-specific linear relaxations of semidefinite optimization problems

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.656427Z

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.

Observation c44d575a-e7b1-49c9-807c-b673a819f29d · outbound

This paper cites Outer approximation with conic certificates for mixed-integer convex problems.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems Outer approximation with conic certificates for mixed-integer convex problems

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.636246Z

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.

Observation 58ce87e8-39c6-420f-a50d-cdacd909a098 · outbound

This paper cites On polyhedral and second-order cone decompositions of semidefinite optimization problems.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems On polyhedral and second-order cone decompositions of semidefinite optimization problems

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.615496Z

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.

Observation 85373037-8626-4ff1-93e6-2b5ec6f0b66b · outbound

This paper cites Polyhedral approximations of the semidefinite cone and their application.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems Polyhedral approximations of the semidefinite cone and their application

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.598256Z

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.

Observation 33fa4d0c-0a98-4448-b1a2-4bceb2e8346c · outbound

This paper cites Second order cone programming relaxation of a positive semidefinite constraint.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems Second order cone programming relaxation of a positive semidefinite constraint

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.578752Z

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.

Observation 5b008aa0-ef2c-4e7c-b0bf-352a6284e9ff · outbound

This paper cites A branch-and-cut algorithm for solving mixed-integer semidefinite optimization problems.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems A branch-and-cut algorithm for solving mixed-integer semidefinite optimization problems

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.559116Z

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.

Observation b85ceb7f-c5ca-4ff0-a181-35d8b9645b6f · outbound

This paper cites The quadratic knapsack problem—a survey.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems The quadratic knapsack problem—a survey

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.540443Z

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.

Observation 70897921-1fdc-4264-8a52-c886e7555417 · outbound

This paper cites The MOSEK optimization toolbox for MATLAB manual.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems The MOSEK optimization toolbox for MATLAB manual

Reference 27

Resolution: malformed identifier; raw_fallback, observed 2026-08-15T18:59:14.522526Z

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.

Observation f12482ed-aab5-46a1-a322-b9d933385f01 · outbound

This paper cites Gurobi optimizer reference manual , 2020.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems Gurobi optimizer reference manual , 2020

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.504907Z

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.

Observation c0c3f8d6-786a-4c63-b5d1-e03ac560c92a · outbound

This paper cites An adaptive linear approximation algorithm for copositive programs.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems An adaptive linear approximation algorithm for copositive programs

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.486054Z

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.

Observation 1d7fdaf7-7397-4984-b2b0-aeac11697fe9 · outbound

This paper cites Inner approximating the completely positive cone via the cone of scaled diagonally dominant matrices.

Spectral Outer-Approximation Algorithms for Binary Semidefinite Problems Inner approximating the completely positive cone via the cone of scaled diagonally dominant matrices

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:59:14.467810Z

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.

Pith citing papers

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