Paper Citation Record · LEDGER

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach

As of 23 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:2501.14211.

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

pith.paper-citation-record.v1
2501.14211 v2

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T15:23:02.839795Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-18T14:23:46.287363Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T14:26:28.573852Z

Reference resolution

40 of 40 outbound references displayed

verified exact2
verified fuzzy31
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9b85e048-2a0c-47f9-9e7c-040de6f7c7db · outbound

This paper cites write newline.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach write newline

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-10T15:23:02.691045Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9be26a30-ca6c-4252-a7df-e0337aec5235 · outbound

This paper cites Branch and bound methods.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Branch and bound methods

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.305431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 394d0049-8ea7-4435-be4c-9f1e4773d18a · outbound

This paper cites Combinatorial optimization and reasoning with graph neural networks.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Combinatorial optimization and reasoning with graph neural networks

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.294337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation efaaeab9-1a98-4e63-a216-274a7a1f78f8 · outbound

This paper cites SymILO: A Symmetry-Aware Learning Framework for Integer Linear Optimization.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach SymILO: A Symmetry-Aware Learning Framework for Integer Linear Optimization

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-10T15:23:02.929265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 30e827ee-1967-44bd-a985-121a9597ec92 · outbound

This paper cites On representing mixed-integer linear programs by graph neural networks, 2022.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach On representing mixed-integer linear programs by graph neural networks, 2022

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.282681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation cf8124b9-fb24-44a9-b359-c22647cfee17 · outbound

This paper cites The scip optimization suite 7.0.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach The scip optimization suite 7.0

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.269853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2fbcc27a-9c26-4327-8914-a2d267c4ba2d · outbound

This paper cites Exact combinatorial optimization with graph convolutional neural networks.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Exact combinatorial optimization with graph convolutional neural networks

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-10T15:23:02.717957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4253963c-73ab-454e-841a-be499f04944e · outbound

This paper cites The machine learning for combinatorial optimization competition (ml4co): Results and insights.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach The machine learning for combinatorial optimization competition (ml4co): Results and insights

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.252073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 659fec0f-1386-462e-96b4-8173a4d3a0f4 · outbound

This paper cites Miplib 2017: data-driven compilation of the 6th mixed-integer programming library.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Miplib 2017: data-driven compilation of the 6th mixed-integer programming library

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.241262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8879a201-84b0-40fc-b8bd-7ac85215762f · outbound

This paper cites A gnn-guided predict-and-search framework for mixed-integer linear programming.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach A gnn-guided predict-and-search framework for mixed-integer linear programming

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.230033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 901abe53-8a18-4d60-8087-b88e0ab87620 · outbound

This paper cites Learning to configure mathematical programming solvers by mathematical programming.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Learning to configure mathematical programming solvers by mathematical programming

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.217883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7f3fbe41-de83-4b88-b677-8d5a84f9862c · outbound

This paper cites Conflict propagation and component recursion for canonical labeling.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Conflict propagation and component recursion for canonical labeling

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.207029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 18524b55-3b6f-4660-a420-3151147def85 · outbound

This paper cites Symmetry Breaking and Equivariant Neural Networks.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Symmetry Breaking and Equivariant Neural Networks

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-10T15:23:02.742430Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 817fa864-c6ae-4a30-a709-24c0452fcc33 · outbound

This paper cites Mip-gnn: A data-driven framework for guiding combinatorial solvers.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Mip-gnn: A data-driven framework for guiding combinatorial solvers

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.196035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation bb897593-0e92-4ce2-b603-d9bb027e9e98 · outbound

This paper cites Improving equivariant networks with probabilistic symmetry breaking.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Improving equivariant networks with probabilistic symmetry breaking

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.183992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0ad25893-6a2b-4808-b086-2ab234ea467d · outbound

This paper cites Resource allocation optimization based on mixed integer linear programming in the multi-cloudlet environment.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Resource allocation optimization based on mixed integer linear programming in the multi-cloudlet environment

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.173131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 43084b7c-acde-4df1-94b9-8c59f7141b76 · outbound

This paper cites Global optimization method for mixed transportation network design problem: a mixed-integer linear programming approach.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Global optimization method for mixed transportation network design problem: a mixed-integer linear programming approach

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.162112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1c575d7c-a600-449f-aba9-9053ba1fb71d · outbound

This paper cites Pruning by isomorphism in branch-and-cut.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Pruning by isomorphism in branch-and-cut

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.151199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation dd164adf-b2d2-4783-99ef-2e986628167b · outbound

This paper cites Exploiting orbits in symmetric ilp.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Exploiting orbits in symmetric ilp

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.141396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 422211f5-c059-469d-adb4-5d321dddc5b1 · outbound

This paper cites Symmetry in integer linear programming.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Symmetry in integer linear programming

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.129692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4d50c8ec-f03d-41af-a087-75d6c6117eba · outbound

This paper cites Nauty and traces user’s guide (version 2.5).

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Nauty and traces user’s guide (version 2.5)

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.118292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 45830643-9d65-4fe9-8b30-feb5bb78b078 · outbound

This paper cites Orbit-equivariant graph neural networks.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Orbit-equivariant graph neural networks

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.107166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8c9dbec1-d022-4869-ad46-00bc8ffc1dc4 · outbound

This paper cites Branch-and-bound algorithms: A survey of recent advances in searching, branching, and pruning.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Branch-and-bound algorithms: A survey of recent advances in searching, branching, and pruning

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.095435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 807a31e9-f552-4715-935b-d503bc724113 · outbound

This paper cites Solving Mixed Integer Programs Using Neural Networks.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Solving Mixed Integer Programs Using Neural Networks

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-10T15:23:02.781756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9d8b298-d25a-42bc-b6c0-e1b1b9b022dc · outbound

This paper cites Constraint orbital branching.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Constraint orbital branching

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.084682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a1219498-88d1-45ce-9a90-909b79bba6f6 · outbound

This paper cites Orbital branching.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Orbital branching

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.073600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 66c512d3-2ad2-4e9c-aa48-f6790eff26fd · outbound

This paper cites Learning to cut by looking ahead: Cutting plane selection via imitation learning.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Learning to cut by looking ahead: Cutting plane selection via imitation learning

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.061626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d54db2aa-a90b-43d3-b880-c0b4fb0977f1 · outbound

This paper cites Production planning by mixed integer programming, volume 149.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Production planning by mixed integer programming, volume 149

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.050533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c7ce0620-b935-44c2-b190-aa64f946354d · outbound

This paper cites Symmetry breaking using stabilizers.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Symmetry breaking using stabilizers

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.039125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3f48a023-120b-4246-97e1-e3ad0014284c · outbound

This paper cites A comparison of sbds and dynamic lex constraints.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach A comparison of sbds and dynamic lex constraints

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.027819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b17df05c-c4ed-46f0-9184-3b926939099a · outbound

This paper cites Solving steel mill slab problems with constraint-based techniques: Cp, lns, and cbls.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Solving steel mill slab problems with constraint-based techniques: Cp, lns, and cbls

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.015329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 44a78acb-2b98-4c7d-89db-04dcf50a7684 · outbound

This paper cites A model for the delay management problem based on mixed-integer-programming.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach A model for the delay management problem based on mixed-integer-programming

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:03.003160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 863e1478-7e2e-43c1-92e0-b7a06bda3d22 · outbound

This paper cites The bin-packing problem: A problem generator and some numerical experiments with ffd packing and mtp.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach The bin-packing problem: A problem generator and some numerical experiments with ffd packing and mtp

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:02.991548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a61ccd26-a217-4b49-b8a2-d3999b4ec209 · outbound

This paper cites Finding symmetry breaking order parameters with euclidean neural networks.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Finding symmetry breaking order parameters with euclidean neural networks

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:02.979882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e9eb4a93-ecd6-45ae-8924-308948387130 · outbound

This paper cites Progressive hedging innovations for a class of stochastic mixed-integer resource allocation problems.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Progressive hedging innovations for a class of stochastic mixed-integer resource allocation problems

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:02.966506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 62eefe26-cb5d-48b5-a198-c2a123ae815e · outbound

This paper cites Equivariant Symmetry Breaking Sets.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Equivariant Symmetry Breaking Sets

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-10T15:23:02.825224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c012346-8aa4-4654-99e9-126561a584cd · outbound

This paper cites Multiset-Equivariant Set Prediction with Approximate Implicit Differentiation.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Multiset-Equivariant Set Prediction with Approximate Implicit Differentiation

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-10T15:23:02.880338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ba498433-b350-4dc4-924c-1082aa866f77 · outbound

This paper cites @esa (Ref.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach @esa (Ref

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-10T15:23:02.832427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f26b6c29-93f8-4fdd-8a57-90336de7c003 · outbound

This paper cites an unresolved cited work.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-10T15:23:02.836241Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb74a62a-9e43-4d78-95e3-81f2e8f89f08 · outbound

This paper cites B> Z B - D eg>s/J @p6 7_ _1U޿ i /_.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach B> Z B - D eg>s/J @p6 7_ _1U޿ i /_

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:23:02.941091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

Observation 8c4183e2-df21-43e5-a4ec-2080d5e52639 · inbound

Feature Augmentation of GNNs for ILPs: Local Uniqueness Suffices cites this paper.

Feature Augmentation of GNNs for ILPs: Local Uniqueness Suffices When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-05-18T14:26:28.577138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.