Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T12:45:05.855107Z
Paper Citation Record · LEDGER
Primal-Dual Neural Algorithmic Reasoning
As of 9 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2505.24067.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-02T15:11:43.912523Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-02T15:17:07.313613Z
Reference resolution
15 of 15 outbound references displayed
- verified exact2
- verified fuzzy6
- unresolved6
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 17be0754-0d5a-4a1b-8999-835339bd8863 · outbound
This paper cites 15 Primal-Dual Neural Algorithmic Reasoning.
Primal-Dual Neural Algorithmic Reasoning 15 Primal-Dual Neural Algorithmic Reasoning
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:45:07.837038Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ec2ba66a-ae74-4fee-a403-6dbc80a0f1ae · outbound
This paper cites backbone.
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:45:07.677507Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f3a445ae-71d9-4eeb-87df-a6d72ce9f2db · outbound
This paper cites Benchmarking Graph Neural Networks.
Primal-Dual Neural Algorithmic Reasoning Benchmarking Graph Neural Networks
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T12:45:04.612182Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 325f7f60-6fdb-4c09-ae8d-b29079dc3b61 · outbound
This paper cites Erdos Goes Neural: an Unsupervised Learning Framework for Combinatorial Optimization on Graphs.
Primal-Dual Neural Algorithmic Reasoning Erdos Goes Neural: an Unsupervised Learning Framework for Combinatorial Optimization on Graphs
Reference 5
- Resolution
- malformed identifier
- local_arxiv, observed 2026-08-07T12:45:07.125138Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation eae3f25d-6d7c-434c-b3e5-392ceb0a8fc1 · outbound
This paper cites Numeroso, D., Bacciu, D., and Veli ˇckovi´c, P.
Primal-Dual Neural Algorithmic Reasoning Numeroso, D., Bacciu, D., and Veli ˇckovi´c, P
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T12:45:04.934899Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cb59ceb5-f944-4f78-ae27-de50bb00fd6b · outbound
This paper cites Xu, K., Zhang, M., Li, J., Du, S.
Primal-Dual Neural Algorithmic Reasoning Xu, K., Zhang, M., Li, J., Du, S
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:45:08.004607Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 2fa23efd-9226-4a28-8833-903122ce5cab · outbound
This paper cites Teaching Algorithmic Reasoning via In-context Learning.
Primal-Dual Neural Algorithmic Reasoning Teaching Algorithmic Reasoning via In-context Learning
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T12:45:05.397993Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 235aeed5-e6e4-44c6-87b1-13d4cbfaf9ba · outbound
This paper cites Neural GPUs Learn Algorithms.
Primal-Dual Neural Algorithmic Reasoning Neural GPUs Learn Algorithms
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T12:45:05.548463Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a5c4fe3c-bfd2-4b71-9239-6440029a2c52 · outbound
This paper cites The results are summarized in Table 8.
Primal-Dual Neural Algorithmic Reasoning The results are summarized in Table 8
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:45:07.564842Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation eba18033-b25a-4103-8387-7c19aef7e513 · outbound
This paper cites Neural Algorithmic Reasoning with Multiple Correct Solutions.
Primal-Dual Neural Algorithmic Reasoning Neural Algorithmic Reasoning with Multiple Correct Solutions
Reference 2017
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T12:45:06.708050Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 0f241320-618e-4428-93e4-5f9a867e3503 · outbound
This paper cites Veliˇckovi´c, P., Ying, R., Padovano, M., Hadsell, R., and Blundell, C.
Primal-Dual Neural Algorithmic Reasoning Veliˇckovi´c, P., Ying, R., Padovano, M., Hadsell, R., and Blundell, C
Reference 2018
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:45:08.266265Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4b3d0270-d079-4b0d-b148-8f7ac19cf10f · outbound
This paper cites Unsupervised Learning for Combinatorial Optimization Needs Meta-Learning.
Primal-Dual Neural Algorithmic Reasoning Unsupervised Learning for Combinatorial Optimization Needs Meta-Learning
Reference 2020
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T12:45:06.267159Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e3f6f8b1-cdb9-4586-9fd9-894eb17cba0b · outbound
This paper cites cc/paper_files/paper/2021/file/ 82e9e7a12665240d13d0b928be28f230-Paper.
Primal-Dual Neural Algorithmic Reasoning cc/paper_files/paper/2021/file/ 82e9e7a12665240d13d0b928be28f230-Paper
Reference 2021
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T12:45:08.364838Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3ef16b7f-23a5-4db5-a960-8c5999e2ece2 · outbound
This paper cites Transformers meet Neural Algorithmic Reasoners.
Primal-Dual Neural Algorithmic Reasoning Transformers meet Neural Algorithmic Reasoners
Reference 2023
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T12:45:04.283462Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 191f93e6-94e1-4d9b-8075-0f2008869ec6 · outbound
This paper cites Graph neural induction of value iteration.
Primal-Dual Neural Algorithmic Reasoning Graph neural induction of value iteration
Reference 2024
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T12:45:04.367046Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation 93529b9a-dc19-4b17-a6f2-92941dcc5712 · inbound
Neural Certificate Pricing for Combinatorial Optimization Problems cites this paper.
Neural Certificate Pricing for Combinatorial Optimization Problems Primal-Dual Neural Algorithmic Reasoning
Reference 20
- Resolution
- verified exact
- arxiv_id, observed 2026-07-02T15:17:07.315081Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.