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Paper Citation Record · LEDGER

An Expansion-Based Approach for Quantified Integer Programming

As of 8 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2506.04452.

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

pith.paper-citation-record.v1
2506.04452 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:55:25.059932Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

18 of 18 outbound references displayed

  • verified exact8
  • verified fuzzy8
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e5fbf273-443d-40e4-96e5-d9340c73f32e · outbound

This paper cites 9 Olaf Beyersdorff, Leroy Chew, Judith Clymo, and Meena Mahajan.

An Expansion-Based Approach for Quantified Integer Programming 9 Olaf Beyersdorff, Leroy Chew, Judith Clymo, and Meena Mahajan

Reference 3

Resolution
verified exact
doi, observed 2026-08-07T10:55:25.446260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 2ebea36e-19b8-4b44-9a05-a14d4c49279e · outbound

This paper cites 18 Leroy Chew and Marijn JH Heule.

An Expansion-Based Approach for Quantified Integer Programming 18 Leroy Chew and Marijn JH Heule

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-07T10:55:24.940423Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:55:24.940423Z digest=sha256:ac88277bb6e23cf35479dd4595302dced7638d8288344d95d93e82ad7b02115e

Observation 36dfba74-7305-4aa3-b0ff-b98ee6884502 · outbound

This paper cites 21 Vašek Chvátal.Cutting-plane proofs and the stability number of a graph.

An Expansion-Based Approach for Quantified Integer Programming 21 Vašek Chvátal.Cutting-plane proofs and the stability number of a graph

Reference 10

Resolution
verified exact
doi, observed 2026-08-07T10:55:25.266427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation c7ab33ac-2d97-4be5-b68c-13e36e3f9426 · outbound

This paper cites uni-siegen.de/handle/ubsi/1705,doi:http://dx.doi.org/10.25819/ubsi/4841.

An Expansion-Based Approach for Quantified Integer Programming uni-siegen.de/handle/ubsi/1705,doi:http://dx.doi.org/10.25819/ubsi/4841

Reference 12

Resolution
verified exact
doi, observed 2026-08-07T10:55:25.216708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation a97d42ce-b4f4-4ea4-bc1f-3f0baf8ca4e5 · outbound

This paper cites Quantified integer programs with polyhedral uncertainty set.

An Expansion-Based Approach for Quantified Integer Programming Quantified integer programs with polyhedral uncertainty set

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:55:25.636733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:55:25.011264Z digest=sha256:39c5cd1bf2b2dff6179e87283cdedea579f5d1f4bb158df6ac1e985fe3d40830

Observation 041f6989-d4e7-4196-ba0d-e83a9f1509c9 · outbound

This paper cites Hartisch and L.

An Expansion-Based Approach for Quantified Integer Programming Hartisch and L

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:55:25.557983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:55:25.030624Z digest=sha256:f44738a80599b00bc64b71546db9ac67f45f973f51f30886fa529fbb33c98245

Observation 55fe4b2d-93d4-4c8a-bb35-6e7eff00561c · outbound

This paper cites A general model-and-run solver for multistage robust discrete linear optimization.

An Expansion-Based Approach for Quantified Integer Programming A general model-and-run solver for multistage robust discrete linear optimization

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:55:25.505010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:55:25.038124Z digest=sha256:59dc509287c33a70a27c30c122acb202fe1c268aed8cf9c5c1ac2a66742bb581

Observation b7e62800-5f3e-4c23-b7d1-aed881afbcd4 · outbound

This paper cites org/index.php/AAAI/article/view/12208,doi:10.1609/aaai.v32i1.12208.

An Expansion-Based Approach for Quantified Integer Programming org/index.php/AAAI/article/view/12208,doi:10.1609/aaai.v32i1.12208

Reference 17

Resolution
verified exact
doi, observed 2026-08-07T10:55:25.164848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:55:25.046697Z digest=sha256:bc19e21bfbc68f22dd4560097daee1c6a26b61fd5a85e84d67a715f211ed1a21

Observation 22c10fa0-6ab1-4fa3-ad1d-c8172d98223b · outbound

This paper cites 62 Phebe Vayanos, Daniel Kuhn, and Berç Rustem.

An Expansion-Based Approach for Quantified Integer Programming 62 Phebe Vayanos, Daniel Kuhn, and Berç Rustem

Reference 18

Resolution
verified exact
doi, observed 2026-08-07T10:55:25.133974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:55:25.059932Z digest=sha256:b0227460ddc262eba9f4b28ae42c25c65036dfe13e85f2f43cdfd32bc5abc9e8

Observation e5301651-830b-4865-84bd-f751adb65d9d · outbound

This paper cites Understanding the relative strength of QBF CDCL solvers and QBF resolution.

An Expansion-Based Approach for Quantified Integer Programming Understanding the relative strength of QBF CDCL solvers and QBF resolution

Reference 2003

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:55:25.799113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation ad95a576-c20e-4161-ac9b-2de8fc06066c · outbound

This paper cites QCDCL vs QBF resolution: Further insights.

An Expansion-Based Approach for Quantified Integer Programming QCDCL vs QBF resolution: Further insights

Reference 2015

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:55:25.756440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 7ee9dd3c-5178-41dd-899d-e5ca5c7e4015 · outbound

This paper cites Mastering uncertainty: towards robust multistage optimiza- tion with decision dependent uncertainty.

An Expansion-Based Approach for Quantified Integer Programming Mastering uncertainty: towards robust multistage optimiza- tion with decision dependent uncertainty

Reference 2016

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:55:25.595734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 7c8718b5-acda-42ed-9984-73aab932143c · outbound

This paper cites Yasol: an open source solver for quantified mixed integer programs.

An Expansion-Based Approach for Quantified Integer Programming Yasol: an open source solver for quantified mixed integer programs

Reference 2018

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:55:25.667002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:55:24.980390Z digest=sha256:86d101caa2118839b4df0389021f543b79e4532330683bc51db953fa5513dda5

Observation 2e45962e-ef70-4021-8039-0a922ee14ff0 · outbound

This paper cites New resolution-based QBF calculi and their proof complexity.ACM Trans.

An Expansion-Based Approach for Quantified Integer Programming New resolution-based QBF calculi and their proof complexity.ACM Trans

Reference 2019

Resolution
verified exact
doi, observed 2026-08-07T10:55:25.413265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:55:24.895344Z digest=sha256:e290a198eb1e3e9ea3a36589b440e0af5622474ffeef13e32a3a38b144d84535

Observation 103aaba6-5606-4032-9abc-36f3f9b4735d · outbound

This paper cites On the complexity of quantified integer programming.

An Expansion-Based Approach for Quantified Integer Programming On the complexity of quantified integer programming

Reference 2020

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:55:25.714358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:55:24.947112Z digest=sha256:a7abeea89dc38abf4e399e5f498e78a6f3b9ff8d694a98e89bd060f8da7b4241

Observation e01fe5e3-d7fb-4be6-994d-b865800fdf13 · outbound

This paper cites Hartisch and L.

An Expansion-Based Approach for Quantified Integer Programming Hartisch and L

Reference 2021

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:55:25.830203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:55:24.859864Z digest=sha256:429e1b83dc883da6e8c5672fcc1a175d6c2f5ce4151d4d0f2baeff88984d8b0f

Observation 99cee6e4-3199-458f-b4ae-ab35c7acba23 · outbound

This paper cites 15 Hubie Chen.

An Expansion-Based Approach for Quantified Integer Programming 15 Hubie Chen

Reference 2023

Resolution
verified exact
doi, observed 2026-08-07T10:55:25.324090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:55:24.932950Z digest=sha256:49cecf7e3b45e9d697ad2de8d8ef7197bff6080c8999a9b6306a3fbd86bbaa90

Observation 6959c4be-e9ee-456c-8de8-af0a4d6d5009 · outbound

This paper cites 12 Nikolaj Bjørner, Mikolás Janota, and William Klieber.

An Expansion-Based Approach for Quantified Integer Programming 12 Nikolaj Bjørner, Mikolás Janota, and William Klieber

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-07T10:55:24.911754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:55:24.911754Z digest=sha256:64c00a381a4f8ecd1bc396efc4930d9507bef6d08cc96d6bdc53b801c3454651

Pith citing papers

No inbound Pith citation observations are available.