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Paper Citation Record · LEDGER

Message-Passing GNNs Fail to Approximate Sparse Triangular Factorizations

As of 10 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2502.01397.

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

pith.paper-citation-record.v1
2502.01397 v3

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T15:37:10.978924Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

15 of 15 outbound references displayed

  • verified exact1
  • verified fuzzy1
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2b4ee2d2-620f-41d9-932f-a0189c6fb505 · outbound

This paper cites Neural incomplete factorization: learning preconditioners for the conjugate gradient method.

Message-Passing GNNs Fail to Approximate Sparse Triangular Factorizations Neural incomplete factorization: learning preconditioners for the conjugate gradient method

Reference 2

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T15:37:10.931148Z digest=sha256:e2ecf395c63cac991fc6e64b5107b57b727387c593b981a273908942e5ad0fb9

Observation c56418ec-a2f3-4b4e-b909-f30fd39c075b · outbound

This paper cites Neural Acceleration of Incomplete Cholesky Preconditioners.

Message-Passing GNNs Fail to Approximate Sparse Triangular Factorizations Neural Acceleration of Incomplete Cholesky Preconditioners

Reference 5

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verified exact
local_arxiv, observed 2026-08-09T15:37:11.086590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-09T15:37:10.943391Z digest=sha256:636fe51f8a686eaf8bde56921753ad485f36c08eeacdbd160ea8d5b9e2fddd0e

Observation 0ef46b87-60cb-4053-947f-9dffd7d46d14 · outbound

This paper cites Graph Neural Preconditioners for Iterative Solutions of Sparse Linear Systems.

Message-Passing GNNs Fail to Approximate Sparse Triangular Factorizations Graph Neural Preconditioners for Iterative Solutions of Sparse Linear Systems

Reference 6

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no resolver link, observed 2026-08-09T15:37:10.947630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T15:37:10.947630Z digest=sha256:369e428c873c09671ce7d89d369a3a6dd46a9083bf232581b9daa5b22af8f9f5

Observation 8acb2072-dc1c-4230-a29a-f470ab90f65e · outbound

This paper cites A Survey on Oversmoothing in Graph Neural Networks.

Message-Passing GNNs Fail to Approximate Sparse Triangular Factorizations A Survey on Oversmoothing in Graph Neural Networks

Reference 7

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T15:37:10.951543Z digest=sha256:83ce9568a1385ee8e24e64b34356e66a689efcc5e7f9f92296815df4d1076662

Observation 3f88838f-aef2-4158-8d61-872470f50081 · outbound

This paper cites Understanding over-squashing and bottlenecks on graphs via curvature.

Message-Passing GNNs Fail to Approximate Sparse Triangular Factorizations Understanding over-squashing and bottlenecks on graphs via curvature

Reference 8

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unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T15:37:10.955219Z digest=sha256:b8f3aeeb32da8e564f66765af64cef17d4ac09de97c54fa40e61b926b4679a76

Observation 97d69746-f366-4473-abdf-70b355a37ddd · outbound

This paper cites Relational inductive biases, deep learning, and graph networks.

Message-Passing GNNs Fail to Approximate Sparse Triangular Factorizations Relational inductive biases, deep learning, and graph networks

Reference 11

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unresolved
no resolver link, observed 2026-08-09T15:37:10.965446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T15:37:10.965446Z digest=sha256:a4538287df74416b0c0da5234289e870ef7f3a17a6c1b0ed4aa6f874fc544c36

Observation 75cc622f-7eb3-436f-8179-5e0daf3d4e7c · outbound

This paper cites DeeperGCN: All You Need to Train Deeper GCNs.

Message-Passing GNNs Fail to Approximate Sparse Triangular Factorizations DeeperGCN: All You Need to Train Deeper GCNs

Reference 13

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unresolved
no resolver link, observed 2026-08-09T15:37:10.972050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T15:37:10.972050Z digest=sha256:cab9a73e4131efaadf5e07d2716d45f4afc090fa06d5e172bcaf4fe93ac9ace9

Observation 7496035b-16fa-4a4b-b166-f06754640fa6 · outbound

This paper cites Masked Label Prediction: Unified Message Passing Model for Semi-Supervised Classification.

Message-Passing GNNs Fail to Approximate Sparse Triangular Factorizations Masked Label Prediction: Unified Message Passing Model for Semi-Supervised Classification

Reference 14

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T15:37:10.975434Z digest=sha256:5b6f5ecd24821af3df1bc7c47d9e72b34feca696fb8b1ffc282f1e9dc145a65c

Observation 34d8dd61-70b2-49c8-bbc7-9a8eda6e68f5 · outbound

This paper cites K-optimal only: IC(0) preconditioner failed.

Message-Passing GNNs Fail to Approximate Sparse Triangular Factorizations K-optimal only: IC(0) preconditioner failed

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:37:11.319324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-09T15:37:10.978924Z digest=sha256:c5e28d27462555c6ce0947bb9734dc1a69aaff05925f2cf7b98c1e28b4edaacc

Observation eba7bfea-d38e-46b9-af26-85d1d14c1853 · outbound

This paper cites Graph Attention Networks.

Message-Passing GNNs Fail to Approximate Sparse Triangular Factorizations Graph Attention Networks

Reference 2017

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T15:37:10.962179Z digest=sha256:8efb22378b828e14750e4b739dff4a1354903fe78423d886964d0de32cfd5645

Observation 16756805-c46a-4650-9be9-b1a85abf663c · outbound

This paper cites How Attentive are Graph Attention Networks?.

Message-Passing GNNs Fail to Approximate Sparse Triangular Factorizations How Attentive are Graph Attention Networks?

Reference 2018

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no resolver link, observed 2026-08-09T15:37:10.968753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T15:37:10.968753Z digest=sha256:4c79351cc8e804fbe8fcfea00e76437f172ff6e9650ae55c3a3244fd784a8de7

Observation c1a7fc32-84b1-480e-839c-b044f53ace33 · outbound

This paper cites Machine-learned precon- ditioners for linear solvers in geophysical fluid flows.

Message-Passing GNNs Fail to Approximate Sparse Triangular Factorizations Machine-learned precon- ditioners for linear solvers in geophysical fluid flows

Reference 2019

Resolution
unresolved
no resolver link, observed 2026-08-09T15:37:10.939337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T15:37:10.939337Z digest=sha256:4529bccde8b34a12d3d9d678fad20c45a013420ad3daddeffd94dda799303902

Observation 030b5e06-ef37-4322-acdc-7d4a4ffd5f9d · outbound

This paper cites How Powerful are Graph Neural Networks?.

Message-Passing GNNs Fail to Approximate Sparse Triangular Factorizations How Powerful are Graph Neural Networks?

Reference 2021

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T15:37:10.958839Z digest=sha256:0f5b21428f452fcb5a15dbd19839e66b1b54137afd3e62b20eee1a9966c56dc1

Observation 83d18448-c13d-4342-b8a3-c38f8691b609 · outbound

This paper cites Deep Learning of Preconditioners for Conjugate Gradient Solvers in Urban Water Related Problems.

Message-Passing GNNs Fail to Approximate Sparse Triangular Factorizations Deep Learning of Preconditioners for Conjugate Gradient Solvers in Urban Water Related Problems

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-09T15:37:10.935307Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T15:37:10.935307Z digest=sha256:40a580fba6325df215c0bf6e6b55031cb8729b5fe5bee1bbb22cc983e16400d5

Observation db3e288e-2f60-4ce7-ad4b-602a8c5121b7 · outbound

This paper cites Learning from Linear Algebra: A Graph Neural Network Approach to Preconditioner Design for Conjugate Gradient Solvers.

Message-Passing GNNs Fail to Approximate Sparse Triangular Factorizations Learning from Linear Algebra: A Graph Neural Network Approach to Preconditioner Design for Conjugate Gradient Solvers

Reference 2024

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unresolved
no resolver link, observed 2026-08-09T15:37:10.926998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T15:37:10.926998Z digest=sha256:0411ba107a0b065c28e80693f9598733cff0a4a58e9f67ff8f2a5a7e369bfb5c

Pith citing papers

No inbound Pith citation observations are available.