Paper Citation Record · LEDGER

Grokking in the Wild: Data Augmentation for Real-World Multi-Hop Reasoning with Transformers

As of 19 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2504.20752.

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

pith.paper-citation-record.v1
2504.20752 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:25:02.913554Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T12:59:51.091008Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

19 of 19 outbound references displayed

verified exact0
verified fuzzy3
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 05274c05-fe2e-445f-b142-72ea33216038 · outbound

This paper cites write newline.

Grokking in the Wild: Data Augmentation for Real-World Multi-Hop Reasoning with Transformers write newline

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-16T05:25:02.729326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 63d2b90c-88b4-4dba-81af-0cabe2ef762f · outbound

This paper cites Reconciling modern machine-learning practice and the classical bias–variance trade-off.

Grokking in the Wild: Data Augmentation for Real-World Multi-Hop Reasoning with Transformers Reconciling modern machine-learning practice and the classical bias–variance trade-off

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-16T05:25:02.737130Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8e16b09-27d6-456b-82eb-643672f8cc94 · outbound

This paper cites Unifying Grokking and Double Descent.

Grokking in the Wild: Data Augmentation for Real-World Multi-Hop Reasoning with Transformers Unifying Grokking and Double Descent

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-16T05:25:02.745993Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd788774-905a-4713-9ea6-370b928fb831 · outbound

This paper cites Constructing A Multi -hop QA Dataset for Comprehensive Evaluation of Reasoning Steps.

Grokking in the Wild: Data Augmentation for Real-World Multi-Hop Reasoning with Transformers Constructing A Multi -hop QA Dataset for Comprehensive Evaluation of Reasoning Steps

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-16T05:25:02.757444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b605bb8b-9aa3-456b-a62f-b4d8ff35bf0e · outbound

This paper cites Training Dynamics of Deep Network Linear Regions.

Grokking in the Wild: Data Augmentation for Real-World Multi-Hop Reasoning with Transformers Training Dynamics of Deep Network Linear Regions

Reference 5

Resolution: metadata mismatch; local_arxiv, observed 2026-08-16T05:25:03.038616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7abf4c34-4ffb-4c3c-8821-9f8cf949b2b9 · outbound

This paper cites Grokfast: Accelerated Grokking by Amplifying Slow Gradients.

Grokking in the Wild: Data Augmentation for Real-World Multi-Hop Reasoning with Transformers Grokfast: Accelerated Grokking by Amplifying Slow Gradients

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-16T05:25:02.785713Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2c8e9c0-a9f4-4c32-8a6d-3e6ae0f0675c · outbound

This paper cites Joint Knowledge Graph Completion and Question Answering.

Grokking in the Wild: Data Augmentation for Real-World Multi-Hop Reasoning with Transformers Joint Knowledge Graph Completion and Question Answering

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T05:25:02.793400Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97d676c7-eb44-4b66-9d7d-0a5a4f33235b · outbound

This paper cites J., and Tegmark, M.

Grokking in the Wild: Data Augmentation for Real-World Multi-Hop Reasoning with Transformers J., and Tegmark, M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:25:03.634691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a4d2c130-9e48-47d7-8644-1bbf57b20501 · outbound

This paper cites Decoupled Weight Decay Regularization.

Grokking in the Wild: Data Augmentation for Real-World Multi-Hop Reasoning with Transformers Decoupled Weight Decay Regularization

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T05:25:02.810485Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2da2a0f3-260c-4e0c-a211-f7679d02e6b8 · outbound

This paper cites Deep double descent: Where bigger models and more data hurt.

Grokking in the Wild: Data Augmentation for Real-World Multi-Hop Reasoning with Transformers Deep double descent: Where bigger models and more data hurt

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:25:03.589376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5623f3ff-1655-449b-8933-74dd4c4e3665 · outbound

This paper cites Progress measures for grokking via mechanistic interpretability.

Grokking in the Wild: Data Augmentation for Real-World Multi-Hop Reasoning with Transformers Progress measures for grokking via mechanistic interpretability

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-16T05:25:02.826797Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a8bdf8c8-daed-48da-96d0-783e2a8ce14a · outbound

This paper cites Multi-scale feature learning dynamics: Insights for double descent.

Grokking in the Wild: Data Augmentation for Real-World Multi-Hop Reasoning with Transformers Multi-scale feature learning dynamics: Insights for double descent

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:25:03.529935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 71e19b3b-922a-4b13-b32b-4af451f98b88 · outbound

This paper cites v., and Back, T.

Grokking in the Wild: Data Augmentation for Real-World Multi-Hop Reasoning with Transformers v., and Back, T

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-16T05:25:02.859424Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85469647-d46a-4c42-b3c8-2f1668a391d5 · outbound

This paper cites Grokking: Generalization Beyond Overfitting on Small Algorithmic Datasets.

Grokking in the Wild: Data Augmentation for Real-World Multi-Hop Reasoning with Transformers Grokking: Generalization Beyond Overfitting on Small Algorithmic Datasets

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-16T05:25:02.876497Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 630e4105-f7da-4a86-816d-567f0635ad58 · outbound

This paper cites The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon.

Grokking in the Wild: Data Augmentation for Real-World Multi-Hop Reasoning with Transformers The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-16T05:25:02.883184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c6cfdfe-21e7-47fb-97ee-200cc50b4746 · outbound

This paper cites MuSiQue : Multihop Questions via Single -hop Question Composition.

Grokking in the Wild: Data Augmentation for Real-World Multi-Hop Reasoning with Transformers MuSiQue : Multihop Questions via Single -hop Question Composition

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-16T05:25:02.890115Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d21e6a50-369f-43a3-9906-bbe587e242f9 · outbound

This paper cites Explaining grokking through circuit efficiency.

Grokking in the Wild: Data Augmentation for Real-World Multi-Hop Reasoning with Transformers Explaining grokking through circuit efficiency

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-16T05:25:02.896671Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 056030f5-4be6-47f7-9caf-c65aef1c837c · outbound

This paper cites Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization.

Grokking in the Wild: Data Augmentation for Real-World Multi-Hop Reasoning with Transformers Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-16T05:25:02.907050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14ca0e9b-67ca-4543-9a9c-7fbc8ddf21a4 · outbound

This paper cites HotpotQA: A Dataset for Diverse, Explainable Multi-hop Question Answering.

Grokking in the Wild: Data Augmentation for Real-World Multi-Hop Reasoning with Transformers HotpotQA: A Dataset for Diverse, Explainable Multi-hop Question Answering

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-16T05:25:02.913554Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 3f85cbcb-95aa-456a-ac2f-9438fc6fb1ef · inbound

The Periodic Table of LLM Reasoning: A Structured Survey of Reasoning Paradigms, Methods, and Failure Modes cites this paper.

The Periodic Table of LLM Reasoning: A Structured Survey of Reasoning Paradigms, Methods, and Failure Modes Grokking in the Wild: Data Augmentation for Real-World Multi-Hop Reasoning with Transformers

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-06-27T13:00:56.103267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.