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Paper Citation Record · LEDGER

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks

As of 10 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2502.04402.

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

pith.paper-citation-record.v1
2502.04402 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T00:33:49.301742Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

41 of 41 outbound references displayed

  • verified exact6
  • verified fuzzy5
  • unresolved29
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation eb317d37-040b-4e5e-a631-44c59692e553 · outbound

This paper cites , " * write output.state after.block = add.period write newline.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks , " * write output.state after.block = add.period write newline

Reference 1

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source=arxiv_source observed=2026-08-09T00:33:49.143908Z digest=sha256:33100962bdd92b1865b521ce1971adaead7784bda018d910ecdcaab2d5f59cae

Observation 4c98273f-6777-426d-8112-d47ea995df26 · outbound

This paper cites write newline.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks write newline

Reference 2

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source=arxiv_source observed=2026-08-09T00:33:49.148550Z digest=sha256:5d7a4fbb380cbf4b7968ffc46264f2b6e7457b64ea1bfe5d264f92908cd17693

Observation d85a72d5-788f-4e27-b3a2-fcc09d5706b7 · outbound

This paper cites an unresolved cited work.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks Unresolved cited work

Reference 3

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Observation bcd01599-9522-4ee4-b132-78e8e51b5f86 · outbound

This paper cites S.; Courville, A.; and Bellemare, M.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks S.; Courville, A.; and Bellemare, M

Reference 4

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T00:33:49.156840Z digest=sha256:9269b0eadcc6b0fb9d6fc8ff53a2e7e99c97a1bb5d29782cbacfb2a25b0f1ae9

Observation 029573a3-5670-4837-b3cf-90a752344774 · outbound

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

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks Relational inductive biases, deep learning, and graph networks

Reference 5

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source=arxiv_source observed=2026-08-09T00:33:49.160714Z digest=sha256:aa6b6b7536194841301ae4189284adbce964bcdcee6eb1d8f43c51a3215432dd

Observation 496109ba-a8a9-4929-ac51-ef4bd7e5be26 · outbound

This paper cites G.; Naddaf , Y.; Veness , J.; and Bowling , M.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks G.; Naddaf , Y.; Veness , J.; and Bowling , M

Reference 6

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source=arxiv_source observed=2026-08-09T00:33:49.164915Z digest=sha256:ef24793aa245e8d50155e7165c26b99a0fde91806a577b2734514c5dc8057dfd

Observation 9e5bd35e-40fb-445d-b0db-19d27bcafcbe · outbound

This paper cites On the Markov Property of Neural Algorithmic Reasoning: Analyses and Methods.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks On the Markov Property of Neural Algorithmic Reasoning: Analyses and Methods

Reference 7

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local_arxiv, observed 2026-08-09T00:33:49.568209Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T00:33:49.168692Z digest=sha256:ef2fcdb3afef187ab1493404342123ba04113cdb43a1bfc5605ec5161806cac9

Observation 0596f00e-5b4f-483b-9c2b-e3c84febd84d · outbound

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

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks Combinatorial optimization and reasoning with graph neural networks

Reference 8

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source=arxiv_source observed=2026-08-09T00:33:49.172747Z digest=sha256:2a2a2416af3ff739407d3af6f8e32345ec5a6fb8a349cca23827b1a70b1d8176

Observation 98d0c9cf-0cd5-42e2-9bf1-d231df33c05c · outbound

This paper cites H.; Leiserson, C.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks H.; Leiserson, C

Reference 9

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source=arxiv_source observed=2026-08-09T00:33:49.176816Z digest=sha256:708835a465ca4ef719be3c931180704d728ce5433073e3c29b327513d0c79b31

Observation 76f406df-4b0d-443c-9f19-65b35603cbe3 · outbound

This paper cites an unresolved cited work.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks Unresolved cited work

Reference 10

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Observation 60f68091-157a-4641-9e85-d3f2f5baf0f0 · outbound

This paper cites Learning Combinatorial Optimization Algorithms over Graphs.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks Learning Combinatorial Optimization Algorithms over Graphs

Reference 11

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Observation 9cfc520a-3d9c-4f82-b6b4-12c9a54cfd46 · outbound

This paper cites PUZZLES: A Benchmark for Neural Algorithmic Reasoning.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks PUZZLES: A Benchmark for Neural Algorithmic Reasoning

Reference 12

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source=arxiv_source observed=2026-08-09T00:33:49.187938Z digest=sha256:f0c84c41579d74bf8b8a1ecff5b7f57bf429841dd7ee916a67e4a09543f40696

Observation 86285e01-df4a-43a9-a1d7-4c7f84c55024 · outbound

This paper cites L.; Sutton, R.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks L.; Sutton, R

Reference 13

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation a1cdf96e-43af-4543-893d-2b31e855c325 · outbound

This paper cites Deep Reinforcement Learning from Self-Play in Imperfect-Information Games.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks Deep Reinforcement Learning from Self-Play in Imperfect-Information Games

Reference 14

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Observation 4d265c29-5e13-4825-8e70-6108a75a45b1 · outbound

This paper cites A Generalist Neural Algorithmic Learner.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks A Generalist Neural Algorithmic Learner

Reference 15

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Observation 653a1aaa-c6b9-4057-a9f4-0341e8171559 · outbound

This paper cites Triplet Edge Attention for Algorithmic Reasoning.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks Triplet Edge Attention for Algorithmic Reasoning

Reference 16

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 859fa45f-a084-4c74-99fa-0729b96d9639 · outbound

This paper cites Semi-Supervised Classification with Graph Convolutional Networks.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks Semi-Supervised Classification with Graph Convolutional Networks

Reference 18

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Observation b7cafe0c-472b-4bc1-957f-a5ba08665b8f · outbound

This paper cites Giraffe: Using Deep Reinforcement Learning to Play Chess.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks Giraffe: Using Deep Reinforcement Learning to Play Chess

Reference 19

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Observation 28893af5-73fc-49bb-8b6f-0c88bb60d7d1 · outbound

This paper cites an unresolved cited work.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks Unresolved cited work

Reference 20

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Observation 015883ea-5276-435d-8f02-0f1cd7abac07 · outbound

This paper cites The CLRS-Text Algorithmic Reasoning Language Benchmark.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks The CLRS-Text Algorithmic Reasoning Language Benchmark

Reference 21

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Observation 3a384481-4cc8-4f90-9813-3bc9dd1df4dd · outbound

This paper cites SALSA-CLRS: A Sparse and Scalable Benchmark for Algorithmic Reasoning.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks SALSA-CLRS: A Sparse and Scalable Benchmark for Algorithmic Reasoning

Reference 22

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Observation 9682ddff-7410-4b57-93b9-ea04b328e493 · outbound

This paper cites Towards Principled Graph Transformers.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks Towards Principled Graph Transformers

Reference 23

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Observation 363e7ece-bfb0-488c-aa90-e27a8202b384 · outbound

This paper cites Dual Algorithmic Reasoning.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks Dual Algorithmic Reasoning

Reference 24

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 72215da9-5778-4441-9d1e-712d6b975b32 · outbound

This paper cites T.; Burch, N.; Anthony, T.; et al.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks T.; Burch, N.; Anthony, T.; et al

Reference 25

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Observation 597d5efc-c4c0-45a7-948a-506962a617bd · outbound

This paper cites C.; Hagenbuchner, M.; and Monfardini, G.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks C.; Hagenbuchner, M.; and Monfardini, G

Reference 26

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Observation 086352e2-8278-4a54-b369-9fdc69bc4cb3 · outbound

This paper cites Proximal Policy Optimization Algorithms.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks Proximal Policy Optimization Algorithms

Reference 27

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Observation cbdb6e94-82d2-4382-b665-6cd177ea8fd0 · outbound

This paper cites Can You Learn an Algorithm? Generalizing from Easy to Hard Problems with Recurrent Networks.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks Can You Learn an Algorithm? Generalizing from Easy to Hard Problems with Recurrent Networks

Reference 28

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Observation 6457ff26-72a9-4ecd-a475-17a289a42fb0 · outbound

This paper cites an unresolved cited work.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks Unresolved cited work

Reference 29

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation e3f38b74-f831-47e1-a2a6-91f7c19c4fca · outbound

This paper cites Mastering Chess and Shogi by Self-Play with a General Reinforcement Learning Algorithm.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks Mastering Chess and Shogi by Self-Play with a General Reinforcement Learning Algorithm

Reference 30

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Observation d25ab740-4811-4ab4-a5f2-099b643d71f8 · outbound

This paper cites an unresolved cited work.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks Unresolved cited work

Reference 31

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Observation e76a28c7-7870-4b57-85e2-d7e0e45f112a · outbound

This paper cites an unresolved cited work.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks Unresolved cited work

Reference 32

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Observation a1647362-4538-4822-b110-badf595fdf9e · outbound

This paper cites an unresolved cited work.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks Unresolved cited work

Reference 33

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source=arxiv_source observed=2026-08-09T00:33:49.262464Z digest=sha256:2258c93b7c516cc61a22b4bbe1b74435d4c084840d2371249f1313725a3c7519

Observation a1147186-b5c5-462f-a84e-49cab237d582 · outbound

This paper cites an unresolved cited work.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks Unresolved cited work

Reference 34

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T00:33:49.266064Z digest=sha256:a73d655b4b67e627f605c4d7c16c4c1f8c2d8486ee125b3f1142adf869ad6971

Observation 00e28f62-16b6-4ad6-a366-89470f1143e3 · outbound

This paper cites One Model, Any CSP: Graph Neural Networks as Fast Global Search Heuristics for Constraint Satisfaction.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks One Model, Any CSP: Graph Neural Networks as Fast Global Search Heuristics for Constraint Satisfaction

Reference 35

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local_arxiv, observed 2026-08-09T00:33:49.372160Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T00:33:49.269956Z digest=sha256:f6916ef702e7f9822b2773ab9b35a61f1683a7573118e6c51a39b7078fbb0635

Observation 5846dc7f-5be9-4f83-9ff5-2609ca0b0747 · outbound

This paper cites N.; Kaiser, L.; and Polosukhin, I.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks N.; Kaiser, L.; and Polosukhin, I

Reference 36

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-09T00:33:49.280070Z digest=sha256:691924cb87072bc0db5a61aa1e4f3d58f58aa75d1a7763c86d0a7cc35c83c420

Observation 5ee2d92b-93cd-4a73-82cc-96f8477c8c47 · outbound

This paper cites P.; Budden, D.; Pascanu, R.; Banino, A.; Dashevskiy, M.; Hadsell, R.; and Blundell, C.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks P.; Budden, D.; Pascanu, R.; Banino, A.; Dashevskiy, M.; Hadsell, R.; and Blundell, C

Reference 37

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raw_fallback, observed 2026-08-09T00:33:49.611681Z

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.

source=arxiv_source observed=2026-08-09T00:33:49.283686Z digest=sha256:c064469affc17038dd3edbd584f2f30fe3ec1791c8e3930fd3256602af4edd74

Observation f7fd873b-881b-40b8-9e82-114eaefe5fe0 · outbound

This paper cites Graph Attention Networks.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks Graph Attention Networks

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-09T00:33:49.287158Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T00:33:49.287158Z digest=sha256:f02adde32a666a6382166b2c65ac9a523ce1c5d28e144bd50ab8fa1fad221055

Observation 98871e03-b67f-4450-9f22-c18f748b9fd3 · outbound

This paper cites an unresolved cited work.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-09T00:33:49.600646Z

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.

source=arxiv_source observed=2026-08-09T00:33:49.291022Z digest=sha256:7b0957c1a5251884fd70feabf87d0cabc8026b606fe0cc6dca2dfe980fd7bfc4

Observation 0bf1cd6e-5f87-402b-a202-4045dcd6352e · outbound

This paper cites How Powerful are Graph Neural Networks?.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks How Powerful are Graph Neural Networks?

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-09T00:33:49.294384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T00:33:49.294384Z digest=sha256:c62881d32a22231b5489b367e8da393424f8f10f61a76d75cbee6ce46f397454

Observation a2e8d594-2d08-4242-b589-9fd0748c403e · outbound

This paper cites How Neural Networks Extrapolate: From Feedforward to Graph Neural Networks.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks How Neural Networks Extrapolate: From Feedforward to Graph Neural Networks

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-09T00:33:49.298172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T00:33:49.298172Z digest=sha256:31c827bfd817d177eb50ebde02a35f2c32e247274091afd50814d4d74e92b508

Observation dc6898f5-6837-4732-85ec-0aba76702de4 · outbound

This paper cites an unresolved cited work.

Beyond Interpolation: Extrapolative Reasoning with Reinforcement Learning and Graph Neural Networks Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-09T00:33:49.590070Z

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.

source=arxiv_source observed=2026-08-09T00:33:49.301742Z digest=sha256:4756aab3f9e5e652fb048b524dcde227fd9fa9a6ddd6606a9a13a093d8e92212

Pith citing papers

No inbound Pith citation observations are available.