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Paper Citation Record · LEDGER

Smoothing Binary Optimization: A Primal-Dual Perspective

As of 6 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2509.21064.

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

pith.paper-citation-record.v1
2509.21064 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-18T14:09:42.267153Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+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

28 of 28 outbound references displayed

  • verified exact0
  • verified fuzzy26
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a4305de3-3400-45e2-86b4-e942f2501f08 · outbound

This paper cites Alleviating the quantum big-m problem.

Smoothing Binary Optimization: A Primal-Dual Perspective Alleviating the quantum big-m problem

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 200190b2-84bc-4a62-b530-a4941a90b61c · outbound

This paper cites Maximum satisfiability.

Smoothing Binary Optimization: A Primal-Dual Perspective Maximum satisfiability

Reference 2

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation b42d9b3d-1b92-4579-bf56-927f53cd9e12 · outbound

This paper cites Experiments in quadratic 0--1 programming.

Smoothing Binary Optimization: A Primal-Dual Perspective Experiments in quadratic 0--1 programming

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-05-18T14:09:42.267153Z digest=sha256:aec4ae1033f39605082e4deed79f3d4167f31dde9ba8ff93640150ef5a67fb99

Observation 24c7edf9-a8ba-4f6c-913d-d275733185ac · outbound

This paper cites The hard-core model on random graphs revisited.

Smoothing Binary Optimization: A Primal-Dual Perspective The hard-core model on random graphs revisited

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-05-18T14:09:42.267153Z digest=sha256:0aaa786bfbb92e5a2770300beafb6af3c39589c9136a27be968474e06c28eb00

Observation b1f2e071-67b6-4fb5-b22b-e00258e5cdf4 · outbound

This paper cites Simulated annealing.

Smoothing Binary Optimization: A Primal-Dual Perspective Simulated annealing

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 258b81c0-0ce9-498e-9e2b-f9d696490cff · outbound

This paper cites The mathematics of quantum-enabled applications on the d-wave quantum computer.

Smoothing Binary Optimization: A Primal-Dual Perspective The mathematics of quantum-enabled applications on the d-wave quantum computer

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 2d372c52-5ff0-4f45-806e-7b56a47d496d · outbound

This paper cites Convex optimization.

Smoothing Binary Optimization: A Primal-Dual Perspective Convex optimization

Reference 7

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-05-18T14:09:42.267153Z digest=sha256:772ed934dffa2e26f1e392b892da1dd6aed79c26f786a9a52d8ed540f33ea275

Observation bdfbb35a-0bc0-4c1f-8677-7936bce526ae · outbound

This paper cites JAX : composable transformations of P ython+ N um P y programs.

Smoothing Binary Optimization: A Primal-Dual Perspective JAX : composable transformations of P ython+ N um P y programs

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T14:12:40.021332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-05-18T14:09:42.267153Z digest=sha256:f448d975a6d262097b904ffe99e3cbcb88e3f52c828bb31f3d243205d9a98302

Observation f255dff3-147a-45ed-82f8-d1e3bffe25b9 · outbound

This paper cites Controlling continuous relaxation for combinatorial optimization.

Smoothing Binary Optimization: A Primal-Dual Perspective Controlling continuous relaxation for combinatorial optimization

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T14:12:39.995073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-05-18T14:09:42.267153Z digest=sha256:cdfc4d9937fc6bad2c733a706591adb81f29f3f3ac19e39c185315389e180eec

Observation 626fc09d-dbcc-4dce-8507-a11b262e8196 · outbound

This paper cites Erdos goes neural: an unsupervised learning framework for combinatorial optimization on graphs.

Smoothing Binary Optimization: A Primal-Dual Perspective Erdos goes neural: an unsupervised learning framework for combinatorial optimization on graphs

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T14:12:40.041184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-05-18T14:09:42.267153Z digest=sha256:258dfee8a3cbeb9a0e67474065cbc415003bc2a779c16525e7c104e9d55552e7

Observation 4bae729c-30d9-4f5a-8be5-3a820f583326 · outbound

This paper cites Ising formulations of many np problems.

Smoothing Binary Optimization: A Primal-Dual Perspective Ising formulations of many np problems

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 6ff3063e-08b8-42e3-8602-f52b997f5a08 · outbound

This paper cites Genetic algorithms for binary quadratic programming.

Smoothing Binary Optimization: A Primal-Dual Perspective Genetic algorithms for binary quadratic programming

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-05-18T14:09:42.267153Z digest=sha256:39a7b21a541f3de3f086ad8bc3de1a7993c3f5a74dc89cc8f5eeccfe00f2ea17

Observation 6e91e7b9-48ae-4382-9541-d42bd0e92528 · outbound

This paper cites Diverse adaptive bulk search: a framework for solving qubo problems on multiple gpus.

Smoothing Binary Optimization: A Primal-Dual Perspective Diverse adaptive bulk search: a framework for solving qubo problems on multiple gpus

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T14:12:40.007228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-05-18T14:09:42.267153Z digest=sha256:c96f646f0395f69b179a1da6365d85b97b1a43b1e975cccd22aebf0d22e5b907

Observation 54aca4e3-7262-41e0-9d94-87e37c87a318 · outbound

This paper cites Iterated tabu search for the unconstrained binary quadratic optimization problem.

Smoothing Binary Optimization: A Primal-Dual Perspective Iterated tabu search for the unconstrained binary quadratic optimization problem

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T14:12:40.016362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-05-18T14:09:42.267153Z digest=sha256:7f42ded1481e18cbc5ffbc81ab4577eaec280ec9c01d311eb5111fd74133c837

Observation ef55c17d-3cbe-4699-830f-2d3c002e2b12 · outbound

This paper cites Solving the max-cut problem using eigenvalues.

Smoothing Binary Optimization: A Primal-Dual Perspective Solving the max-cut problem using eigenvalues

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T14:11:28.254394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-05-18T14:09:42.267153Z digest=sha256:43a2926bc3e8d1dd2342e4a72e41613e0e4fa2c184a07fab3d2215b135324520

Observation 28060af4-fa16-45e3-aea1-9b90f39cccbf · outbound

This paper cites Ros: A gnn-based relax-optimize-and-sample framework for max- k -cut problems.

Smoothing Binary Optimization: A Primal-Dual Perspective Ros: A gnn-based relax-optimize-and-sample framework for max- k -cut problems

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T14:11:28.252191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-05-18T14:09:42.267153Z digest=sha256:8cf3585dbf6a275590260f00c585d81e74b0d96cadf562c343002f729bdf17ae

Observation 333a3be3-43dc-4fc8-ab3b-f163017acbdd · outbound

This paper cites Faster exact solution of sparse maxcut and qubo problems.

Smoothing Binary Optimization: A Primal-Dual Perspective Faster exact solution of sparse maxcut and qubo problems

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T14:11:28.249717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-05-18T14:09:42.267153Z digest=sha256:d1c8a9fe5c38c404ccba57efbfa68e40fe57ebd6ce7c67660b58e77314b338bb

Observation c3fced2a-ee25-4e90-9e18-d601f54a9d1e · outbound

This paper cites Combinatorial optimization with physics-inspired graph neural networks.

Smoothing Binary Optimization: A Primal-Dual Perspective Combinatorial optimization with physics-inspired graph neural networks

Reference 18

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-05-18T14:09:42.267153Z digest=sha256:499faec17dfe7a4db028feb08762fe343f322970b8b6fafc8a6930bbb35d835b

Observation 09167c0c-73d0-4e58-b17c-f09a8669cd1f · outbound

This paper cites Free-energy machine for combinatorial optimization.

Smoothing Binary Optimization: A Primal-Dual Perspective Free-energy machine for combinatorial optimization

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T14:11:28.247376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-05-18T14:09:42.267153Z digest=sha256:c4787672c2c04931fd57d0b61208c3fbb162f7a569c9425560dfddcc35b4b686

Observation 6bd2b50d-0b2a-4f10-97ca-bc05957ec2f4 · outbound

This paper cites One model, any csp: Graph neural networks as fast global search heuristics for constraint satisfaction.

Smoothing Binary Optimization: A Primal-Dual Perspective One model, any csp: Graph neural networks as fast global search heuristics for constraint satisfaction

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T14:11:28.244898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-05-18T14:09:42.267153Z digest=sha256:897fc086062a59a54cce4d8884b85dc5a7c296a9f1c9b4b9e017742b8a8262f4

Observation a2a9808a-35df-4c34-9180-b943618b212b · outbound

This paper cites Unsupervised learning for combinatorial optimization with principled objective relaxation.

Smoothing Binary Optimization: A Primal-Dual Perspective Unsupervised learning for combinatorial optimization with principled objective relaxation

Reference 21

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-05-18T14:09:42.267153Z digest=sha256:d392109ecb0dd99edadba272a1957c09704d72d85a1f837a571edd74b5b16c3c

Observation 67970a7f-92d8-45ab-aa76-8ee4dd9160ea · outbound

This paper cites Probabilistic grasp-tabu search algorithms for the ubqp problem.

Smoothing Binary Optimization: A Primal-Dual Perspective Probabilistic grasp-tabu search algorithms for the ubqp problem

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T14:12:40.035450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-05-18T14:09:42.267153Z digest=sha256:52732ff22076d31688c5660434f2c1a5198940f5e99d6cff1df8d243d3d898cd

Observation ded25e92-912c-4d74-a62a-2d9119f4c55e · outbound

This paper cites The gset dataset.

Smoothing Binary Optimization: A Primal-Dual Perspective The gset dataset

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T14:12:40.004182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-05-18T14:09:42.267153Z digest=sha256:8357ea0ab7d8e4156d1580eff6b2543065a99d5a801d2d8f596498dab7c2d00a

Observation 706b0aaa-a61c-4580-b095-2e95f8195df6 · outbound

This paper cites Benchmarking hamiltonian noise in the d-wave quantum annealer.

Smoothing Binary Optimization: A Primal-Dual Perspective Benchmarking hamiltonian noise in the d-wave quantum annealer

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T14:11:28.240173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-05-18T14:09:42.267153Z digest=sha256:c9a72fec2ffde57947af82ae43074dd5b871275c6318171939283c25c1d62ecc

Observation 66d4028b-ad14-412d-b0dc-e85ace0729fb · outbound

This paper cites write newline.

Smoothing Binary Optimization: A Primal-Dual Perspective write newline

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T14:11:28.237674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-05-18T14:09:42.267153Z digest=sha256:50a9c933b7a97cc0a3f1b0f4269f573190a58b5c7f6f8c4025a2439f4f0ae4b1

Observation 811957ad-276c-437c-bf5f-339af0e01ab3 · outbound

This paper cites @esa (Ref.

Smoothing Binary Optimization: A Primal-Dual Perspective @esa (Ref

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T14:11:28.234264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-05-18T14:09:42.267153Z digest=sha256:3e688f502759d8e756f7cd8129c60055e2ea7bd756755ee498d1c9c68cec6047

Observation a08d1e6a-9482-42c3-922d-1a918241b886 · outbound

This paper cites an unresolved cited work.

Smoothing Binary Optimization: A Primal-Dual Perspective Unresolved cited work

Reference 27

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unresolved
raw_fallback, observed 2026-05-18T14:11:28.231422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-05-18T14:09:42.267153Z digest=sha256:7c50780a9e0e863ee532590f829273e8c57efc8f214aee75323cf37e83d00992

Observation 4d6a7c4b-4c97-49d0-85ff-6c835fa1d46c · outbound

This paper cites an unresolved cited work.

Smoothing Binary Optimization: A Primal-Dual Perspective Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-05-18T14:11:28.228835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-05-18T14:09:42.267153Z digest=sha256:8a219fcaf7ca474ce5573f5c4113921c8adc84273e3cfd1d66b4f76b67714aca

Pith citing papers

No inbound Pith citation observations are available.