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Paper Citation Record · LEDGER

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO

As of 12 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2607.03957.

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

pith.paper-citation-record.v1
2607.03957 v2

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T08:49:48.421113Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

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Source: cited_works

Reference resolution

37 of 37 outbound references displayed

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  • unresolved37
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External citation measurements

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Outbound references

Observation 1f0b70f2-9223-4153-9c72-c2c7e4a694dd · outbound

This paper cites DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models

Reference 1

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source=arxiv_source observed=2026-08-02T08:49:43.630937Z digest=sha256:a6c9c6e127362abda0984b5579ca512061b6a39ea4cb9f6f455fce6f1245eab0

Observation 91ed4df4-dc3d-4756-90b3-7718177225ea · outbound

This paper cites Nature , volume =.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Nature , volume =

Reference 2

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source=arxiv_source observed=2026-08-02T08:49:43.766714Z digest=sha256:102068a212c14e91814e4d90c9a611d3d92bbe7af6946cb46f1bf252d1b3e6e8

Observation 2a0f8053-1566-4df0-9ae4-9ee9a9256f59 · outbound

This paper cites and Shen, Yelong and Wallis, Phillip and Allen-Zhu, Zeyuan and Li, Yuanzhi and Wang, Shean and Wang, Lu and Chen, Weizhu , title =.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO and Shen, Yelong and Wallis, Phillip and Allen-Zhu, Zeyuan and Li, Yuanzhi and Wang, Shean and Wang, Lu and Chen, Weizhu , title =

Reference 3

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Observation 8298ac4e-ee84-408d-ad1c-5f5b1bc194dc · outbound

This paper cites Qwen3 Technical Report.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Qwen3 Technical Report

Reference 4

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source=arxiv_source observed=2026-08-02T08:49:43.997548Z digest=sha256:45b3bc7fbbc5d1be2712869d6b218c826e9dc6a7ba1fc05d635b2fcfc64e636e

Observation 997b73a7-9635-4402-a030-0730ecd50027 · outbound

This paper cites Metamorphic Relation Generation: State of the Art and Visions for Future Research.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Metamorphic Relation Generation: State of the Art and Visions for Future Research

Reference 5

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source=arxiv_source observed=2026-08-02T08:49:44.112584Z digest=sha256:25e907365f7839c2ac50898a666fe3954a899cb308b65ba1682987245a448bd0

Observation 7fb3d242-5437-4b55-8b97-4621e1fdd192 · outbound

This paper cites Towards AI-Complete Question Answering: A Set of Prerequisite Toy Tasks.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Towards AI-Complete Question Answering: A Set of Prerequisite Toy Tasks

Reference 6

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source=arxiv_source observed=2026-08-02T08:49:44.284018Z digest=sha256:db1aee048218d1d0f8506074acce9054de1a8411c6357f858831bc899db7ef61

Observation fff63a1d-c3b6-4f97-8d52-76d8c624cdca · outbound

This paper cites Lawrence and Girshick, Ross , title =.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Lawrence and Girshick, Ross , title =

Reference 7

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source=arxiv_source observed=2026-08-02T08:49:44.401498Z digest=sha256:022e55b807798912adc2cfade4fae3f8eb2d1815e25fd3d2c153148907aeb9cb

Observation 651083f6-0938-44b4-8285-c2863bdb67a1 · outbound

This paper cites Proceedings of the Twenty-Ninth International Joint Conference on Artificial Intelligence,.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Proceedings of the Twenty-Ninth International Joint Conference on Artificial Intelligence,

Reference 8

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source=arxiv_source observed=2026-08-02T08:49:44.563650Z digest=sha256:8376f597c67c9719b97b497d54fa71e56a646295575142eb13b2f780aa819f88

Observation 5ca754d8-2f7e-44b6-9352-500cc6c0b72c · outbound

This paper cites Findings of the Association for Computational Linguistics: ACL-IJCNLP 2021 , pages =.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Findings of the Association for Computational Linguistics: ACL-IJCNLP 2021 , pages =

Reference 9

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Observation bbf259c9-4f7e-42c4-b284-aaa381feac4a · outbound

This paper cites Mind , volume =.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Mind , volume =

Reference 10

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Observation db91f460-1e85-446a-a21d-90a214aaa6e4 · outbound

This paper cites Handbook of Logic in Artificial Intelligence and Logic Programming, Volume 3: Nonmonotonic Reasoning and Uncertain Reasoning , editor =.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Handbook of Logic in Artificial Intelligence and Logic Programming, Volume 3: Nonmonotonic Reasoning and Uncertain Reasoning , editor =

Reference 11

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Observation 9b4a61d2-6b90-41e0-9c80-35aefbb2dc60 · outbound

This paper cites , title =.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO , title =

Reference 12

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Observation a1662933-d78b-4a13-8b8a-30f9c8d84c4e · outbound

This paper cites Artificial Intelligence , volume =.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Artificial Intelligence , volume =

Reference 13

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Observation 773d69d3-c57d-436f-be43-9a0ddcd4a4fa · outbound

This paper cites an unresolved cited work.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Unresolved cited work

Reference 14

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Observation 23961844-78ef-4112-832a-91a6940f357b · outbound

This paper cites Proceedings of the 60th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers) , pages =.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Proceedings of the 60th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers) , pages =

Reference 15

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source=arxiv_source observed=2026-08-02T08:49:45.363071Z digest=sha256:5b5a07a5aaa5da1086b23cb17aaafc2c064b5da8cfb227c4c93794609907537c

Observation b9233798-8c13-4a17-b638-fbb0a1588772 · outbound

This paper cites Proceedings of the 2024 Conference on Empirical Methods in Natural Language Processing , pages =.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Proceedings of the 2024 Conference on Empirical Methods in Natural Language Processing , pages =

Reference 16

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Observation 49a46a8d-9ea8-49f3-8f94-dc1f0642181a · outbound

This paper cites LegalBench-RAG: A Benchmark for Retrieval-Augmented Generation in the Legal Domain.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO LegalBench-RAG: A Benchmark for Retrieval-Augmented Generation in the Legal Domain

Reference 17

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Observation c9a0b5c9-c88f-45f9-a18f-1fd5550f8a3f · outbound

This paper cites SaulLM-7B: A pioneering Large Language Model for Law.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO SaulLM-7B: A pioneering Large Language Model for Law

Reference 18

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Observation 93769064-59df-4fd4-aa35-46300b928e1e · outbound

This paper cites DISC-LawLLM: Fine-tuning Large Language Models for Intelligent Legal Services.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO DISC-LawLLM: Fine-tuning Large Language Models for Intelligent Legal Services

Reference 19

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Observation d4b6ee0c-f758-4ce6-ab1c-987d426843cc · outbound

This paper cites Fundamental Research , year =.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Fundamental Research , year =

Reference 20

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Observation 7a69bc88-9c3f-4c35-a2c1-db70d8d5f769 · outbound

This paper cites Proceedings of the 31st International Conference on Computational Linguistics , pages =.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Proceedings of the 31st International Conference on Computational Linguistics , pages =

Reference 21

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Observation 59416d61-d36b-475c-ab25-461a8459d697 · outbound

This paper cites Training Verifiers to Solve Math Word Problems.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Training Verifiers to Solve Math Word Problems

Reference 22

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Observation 97f6d414-e1e7-4393-b39f-7e4655f69003 · outbound

This paper cites International Conference on Learning Representations , pages =.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO International Conference on Learning Representations , pages =

Reference 23

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Observation 9a17704a-8202-40a1-b526-4c25b86a5581 · outbound

This paper cites and Leike, Jan and Brown, Tom and Martic, Miljan and Legg, Shane and Amodei, Dario , title =.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO and Leike, Jan and Brown, Tom and Martic, Miljan and Legg, Shane and Amodei, Dario , title =

Reference 24

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Observation 242c2e8a-46d0-4b53-a6b8-4ac37ddb82a4 · outbound

This paper cites Proximal Policy Optimization Algorithms.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Proximal Policy Optimization Algorithms

Reference 25

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Observation 116b57fa-1b48-4ff6-a5ec-db6b326ad699 · outbound

This paper cites Fine-Tuning Language Models from Human Preferences.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Fine-Tuning Language Models from Human Preferences

Reference 26

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Observation 8cbc6105-4b1e-4f15-b2c9-eed1a151805b · outbound

This paper cites and Leike, Jan and Lowe, Ryan , title =.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO and Leike, Jan and Lowe, Ryan , title =

Reference 27

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Observation 2d139a3e-3bfa-4ee6-811d-0d5e357ab2c8 · outbound

This paper cites an unresolved cited work.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Unresolved cited work

Reference 28

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Observation 3f032700-cbee-4a6c-b21c-9671c2301d00 · outbound

This paper cites an unresolved cited work.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Unresolved cited work

Reference 29

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Observation 49a2109d-3592-4782-9f88-1e203e7d983a · outbound

This paper cites International Conference on Learning Representations , year =.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO International Conference on Learning Representations , year =

Reference 30

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Observation d11a18ae-de99-42c6-923f-0df6a99cc73c · outbound

This paper cites Findings of the Association for Computational Linguistics: EMNLP 2020 , pages =.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Findings of the Association for Computational Linguistics: EMNLP 2020 , pages =

Reference 31

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Observation ada7b528-65ac-4f16-8f20-301a73c25940 · outbound

This paper cites 2021 , publisher =.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO 2021 , publisher =

Reference 32

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This paper cites Proceedings of the 2022 Conference on Empirical Methods in Natural Language Processing , pages =.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Proceedings of the 2022 Conference on Empirical Methods in Natural Language Processing , pages =

Reference 33

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Observation 4341e9cb-86ed-4782-8497-b2ba7484deb7 · outbound

This paper cites an unresolved cited work.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Unresolved cited work

Reference 34

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Observation fda59a46-44cb-4547-84d7-c36f0d6ca69b · outbound

This paper cites Proceedings of the 8th BlackboxNLP Workshop: Analyzing and Interpreting Neural Networks for NLP , pages =.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Proceedings of the 8th BlackboxNLP Workshop: Analyzing and Interpreting Neural Networks for NLP , pages =

Reference 35

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Observation 4fb437ec-4cd0-433d-94ab-ad1c87610541 · outbound

This paper cites and Jain, Rajiv and Linna, Jr., Daniel W.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO and Jain, Rajiv and Linna, Jr., Daniel W

Reference 36

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source=arxiv_source observed=2026-08-02T08:49:48.227506Z digest=sha256:881d2306533937b47752a674d6e51dabe9666861c0e8957f9723bf4c042719b2

Observation 6dda7a1a-01dd-4e8b-b711-b5747904d7a5 · outbound

This paper cites Rubrics as Rewards: Reinforcement Learning Beyond Verifiable Domains.

NormWorlds-CF: Solver-Verified Counterfactual Normative Reasoning with Metamorphic-Relation GRPO Rubrics as Rewards: Reinforcement Learning Beyond Verifiable Domains

Reference 37

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no resolver link, observed 2026-08-02T08:49:48.421113Z

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source=arxiv_source observed=2026-08-02T08:49:48.421113Z digest=sha256:650b8cebd4f3db9f21f570a1bb10c1d1db4bb37ec55814beda525f9b9c1694ee

Pith citing papers

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