Paper Citation Record · LEDGER

Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization

As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 21 inbound Pith citation observations for arXiv:2405.15071.

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

pith.paper-citation-record.v1
2405.15071 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 21 of 21 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:18:38.889675Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T01:09:18.582914Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation e8f38e03-4a92-4ab0-843c-ef103b38b4e6 · inbound

Do LLMs Really Think Step-by-step In Implicit Reasoning? cites this paper.

Do LLMs Really Think Step-by-step In Implicit Reasoning? Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-12T13:52:37.972647Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7570cbcc-7abb-4a87-bbb9-1e6c657e3842 · inbound

Do Large Language Models Perform Latent Multi-Hop Reasoning without Exploiting Shortcuts? cites this paper.

Do Large Language Models Perform Latent Multi-Hop Reasoning without Exploiting Shortcuts? Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-12T12:53:38.935929Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50496835-9d32-4382-ad34-5be903cfd868 · inbound

Evaluating the Systematic Reasoning Abilities of Large Language Models through Graph Coloring cites this paper.

Evaluating the Systematic Reasoning Abilities of Large Language Models through Graph Coloring Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-08T13:53:58.439406Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60fb0b32-6fdd-4301-9796-28c7e711193a · inbound

CryptoX : Compositional Reasoning Evaluation of Large Language Models cites this paper.

CryptoX : Compositional Reasoning Evaluation of Large Language Models Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-08T18:34:26.790561Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 96dabb3c-ab02-4be5-847f-7a68d6c7ee16 · inbound

Let Me Grok for You: Accelerating Grokking via Embedding Transfer from a Weaker Model cites this paper.

Let Me Grok for You: Accelerating Grokking via Embedding Transfer from a Weaker Model Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-16T12:18:38.889675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

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 0cde4bc6-68ba-454c-abbd-d6f98426de01 · inbound

Beyond Semantics: The Unreasonable Effectiveness of Reasonless Intermediate Tokens cites this paper.

Beyond Semantics: The Unreasonable Effectiveness of Reasonless Intermediate Tokens Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-15T20:15:17.987943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 43e43de8-b55d-4d46-8ce2-d425768a8620 · inbound

Too Big to Think: Capacity, Memorization, and Generalization in Pre-Trained Transformers cites this paper.

Too Big to Think: Capacity, Memorization, and Generalization in Pre-Trained Transformers Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T05:04:55.954824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a30a8d7b-151e-4400-8f44-17981b9ddca3 · inbound

A Survey on Latent Reasoning cites this paper.

A Survey on Latent Reasoning Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization

Reference 106

Resolution: unresolved; no resolver link, observed 2026-08-06T19:14:31.669683Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 369cce04-b9bc-42a2-af45-81aa3c6c5399 · inbound

Performative Thinking? The Brittle Correlation Between CoT Length and Problem Complexity cites this paper.

Performative Thinking? The Brittle Correlation Between CoT Length and Problem Complexity Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T22:25:54.929684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 51b74ef3-b4e1-44c8-9fc1-40149da4906c · inbound

How Do Language Models Compose Functions? cites this paper.

How Do Language Models Compose Functions? Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization

Reference 42

Resolution: verified exact; arxiv_id, observed 2026-05-18T11:06:17.684827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 00c02a10-0d26-4324-a9df-1d0f15add338 · inbound

The Long Delay to Arithmetic Generalization: When Learned Representations Outrun Behavior cites this paper.

The Long Delay to Arithmetic Generalization: When Learned Representations Outrun Behavior Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-05-14T21:17:58.770644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2583a2f7-60a4-4d89-8ebd-9a6f9356969c · inbound

The Power of Power Law: Asymmetry Enables Compositional Reasoning cites this paper.

The Power of Power Law: Asymmetry Enables Compositional Reasoning Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization

Reference 51

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T19:31:08.397062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5e548869-2b6b-4ca5-9f02-14c02470fd48 · inbound

The Power of Power Law: Asymmetry Enables Compositional Reasoning cites this paper.

The Power of Power Law: Asymmetry Enables Compositional Reasoning Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization

Reference 51

Resolution: unresolved; no resolver link, observed 2026-07-12T18:26:05.728364Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b85126d6-bc58-4ee4-bf8d-a719e671d729 · inbound

Model Capacity Determines Grokking through Competing Memorisation and Generalisation Speeds cites this paper.

Model Capacity Determines Grokking through Competing Memorisation and Generalisation Speeds Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization

Reference 15

Resolution: metadata mismatch; arxiv_id, observed 2026-05-12T03:56:21.705746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3c7d77e0-20a9-418e-9d96-7564ee9e9bf4 · inbound

Detecting overfitting in Neural Networks during long-horizon grokking using Random Matrix Theory cites this paper.

Detecting overfitting in Neural Networks during long-horizon grokking using Random Matrix Theory Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization

Reference 24

Resolution: metadata mismatch; arxiv_id, observed 2026-05-13T05:27:18.424041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2027839c-ce47-4976-baf2-cb3999f3be04 · inbound

Detecting overfitting in Neural Networks during long-horizon grokking using Random Matrix Theory cites this paper.

Detecting overfitting in Neural Networks during long-horizon grokking using Random Matrix Theory Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization

Reference 24

Resolution: metadata mismatch; arxiv_id, observed 2026-05-15T05:35:04.219411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation af142ca6-244a-4c1d-9459-d0ff60a2bf91 · inbound

Tracing Persona Vectors Through LLM Pretraining cites this paper.

Tracing Persona Vectors Through LLM Pretraining Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization

Reference 12

Resolution: metadata mismatch; arxiv_id, observed 2026-05-14T20:29:27.784391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 32457174-8b41-41d9-9aee-b911f2adf893 · inbound

Repeated Shared Access Enables Grokking, but Edit Propagation Depends on an Addressable Memory cites this paper.

Repeated Shared Access Enables Grokking, but Edit Propagation Depends on an Addressable Memory Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization

Reference 1

Resolution: metadata mismatch; arxiv_id, observed 2026-07-04T01:09:18.584418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ae16e335-33db-4412-add3-f064ae502bb1 · inbound

DiscoLoop: Looping Discrete Embeddings and Continuous Hidden States for Multi-hop Reasoning cites this paper.

DiscoLoop: Looping Discrete Embeddings and Continuous Hidden States for Multi-hop Reasoning Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization

Reference 19

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T13:56:59.363026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4837df6c-c697-4488-810c-d2ada4709b9f · inbound

DiscoLoop: Looping Discrete Embeddings and Continuous Hidden States for Multi-hop Reasoning cites this paper.

DiscoLoop: Looping Discrete Embeddings and Continuous Hidden States for Multi-hop Reasoning Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalization

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T09:18:44.690153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.