Paper Citation Record · LEDGER

Why Do You Grok? A Theoretical Analysis of Grokking Modular Addition

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2407.12332.

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

pith.paper-citation-record.v1
2407.12332 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 6 of 6 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 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T14:44:27.100863Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-25T06:40:24.976387Z

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 8ed5b963-d3ac-4c86-ba36-fcafb1582e84 · inbound

Grokking vs. Learning: Same Features, Different Encodings cites this paper.

Grokking vs. Learning: Same Features, Different Encodings Why Do You Grok? A Theoretical Analysis of Grokking Modular Addition

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-09T14:44:27.100863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe6b5f78-8ed3-44df-a795-4e4e76431139 · inbound

Mechanistic Insights into Grokking from the Embedding Layer cites this paper.

Mechanistic Insights into Grokking from the Embedding Layer Why Do You Grok? A Theoretical Analysis of Grokking Modular Addition

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T15:20:32.612854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af1cf6d3-46a1-4638-8586-3e7fbc6d3f89 · inbound

Learning words in groups: fusion algebras, tensor ranks and grokking cites this paper.

Learning words in groups: fusion algebras, tensor ranks and grokking Why Do You Grok? A Theoretical Analysis of Grokking Modular Addition

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T22:57:12.180002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86a7a9aa-1287-4aa9-948a-7fa6284cd72a · inbound

Topological Signatures of Grokking cites this paper.

Topological Signatures of Grokking Why Do You Grok? A Theoretical Analysis of Grokking Modular Addition

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-11T19:01:13.317360Z

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 94eb40de-9d78-40ae-bf3b-d5aef4e7fd88 · inbound

Feature Learning in Linear-Width Two-Layer Networks: Two vs. One Step of Gradient Descent cites this paper.

Feature Learning in Linear-Width Two-Layer Networks: Two vs. One Step of Gradient Descent Why Do You Grok? A Theoretical Analysis of Grokking Modular Addition

Reference 203

Resolution: verified exact; arxiv_id, observed 2026-05-20T01:32:56.111413Z

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 368f2115-cb9a-4379-93d4-8b8f9dd6819b · inbound

Feature Learning in Linear-Width Two-Layer Networks: Two vs. One Step of Gradient Descent cites this paper.

Feature Learning in Linear-Width Two-Layer Networks: Two vs. One Step of Gradient Descent Why Do You Grok? A Theoretical Analysis of Grokking Modular Addition

Reference 203

Resolution: verified exact; arxiv_id, observed 2026-05-25T06:40:24.979392Z

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.