Paper Citation Record · LEDGER

Post-Grokking Collapse at the Representation-Readout Interface in Muon-Trained Transformers

As of 10 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2608.07436.

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

pith.paper-citation-record.v1
2608.07436 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T04:45:20.925684Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

18 of 18 outbound references displayed

verified exact4
verified fuzzy2
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0dc59af7-c593-4585-8382-67678db701a5 · outbound

This paper cites Diagnosing Catastrophe: Large parts of accuracy loss in continual learning can be accounted for by readout misalignment.

Post-Grokking Collapse at the Representation-Readout Interface in Muon-Trained Transformers Diagnosing Catastrophe: Large parts of accuracy loss in continual learning can be accounted for by readout misalignment

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-10T04:45:21.352017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ba9b8fa6-533e-4b64-8f60-dcc879a91e3b · outbound

This paper cites Two Speeds of Learning: A Representation-Readout Decomposition of Grokking and Double Descent.

Post-Grokking Collapse at the Representation-Readout Interface in Muon-Trained Transformers Two Speeds of Learning: A Representation-Readout Decomposition of Grokking and Double Descent

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-10T04:45:21.332101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b5e89880-c15c-4189-9b88-e9a612174de0 · outbound

This paper cites A Toy Model of Universality: Reverse Engineering How Networks Learn Group Operations.

Post-Grokking Collapse at the Representation-Readout Interface in Muon-Trained Transformers A Toy Model of Universality: Reverse Engineering How Networks Learn Group Operations

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-10T04:45:20.857214Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23c12e11-0d2d-4a05-bf52-dfe234bffb94 · outbound

This paper cites A mathematical framework fortransformercircuits.TransformerCircuitsThread,2021.

Post-Grokking Collapse at the Representation-Readout Interface in Muon-Trained Transformers A mathematical framework fortransformercircuits.TransformerCircuitsThread,2021

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T04:45:21.380063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9e9be7d7-dd27-453e-86da-29b9ad4f0b3b · outbound

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

Post-Grokking Collapse at the Representation-Readout Interface in Muon-Trained Transformers The Long Delay to Arithmetic Generalization: When Learned Representations Outrun Behavior

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-10T04:45:20.866900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 08f48376-0527-43c5-906c-30e0692e913d · outbound

This paper cites Muon: An optimizer for hidden layers in neural networks, 2024.https://github.com/ KellerJordan/Muon.

Post-Grokking Collapse at the Representation-Readout Interface in Muon-Trained Transformers Muon: An optimizer for hidden layers in neural networks, 2024.https://github.com/ KellerJordan/Muon

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T04:45:21.366239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 683a5c3c-899a-4b11-a52d-a94be0d6aecf · outbound

This paper cites Muon is Scalable for LLM Training.

Post-Grokking Collapse at the Representation-Readout Interface in Muon-Trained Transformers Muon is Scalable for LLM Training

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-10T04:45:20.876310Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 08d32555-f7e1-473a-b1e3-f547b6a80cbc · outbound

This paper cites Progress measures for grokking via mechanistic interpretability.

Post-Grokking Collapse at the Representation-Readout Interface in Muon-Trained Transformers Progress measures for grokking via mechanistic interpretability

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-10T04:45:20.880840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eefd5365-1515-4af9-9101-cad6ad152160 · outbound

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

Post-Grokking Collapse at the Representation-Readout Interface in Muon-Trained Transformers Grokking: Generalization Beyond Overfitting on Small Algorithmic Datasets

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-10T04:45:20.885410Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d13e6557-76d7-4d5d-8765-94a94c3bb16b · outbound

This paper cites Grokking and Generalization Collapse: Insights from \texttt{HTSR} theory.

Post-Grokking Collapse at the Representation-Readout Interface in Muon-Trained Transformers Grokking and Generalization Collapse: Insights from \texttt{HTSR} theory

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-10T04:45:20.889632Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1668c4b-4132-44f1-80a2-f6db0592bd9b · outbound

This paper cites Grokking at the Edge of Numerical Stability.

Post-Grokking Collapse at the Representation-Readout Interface in Muon-Trained Transformers Grokking at the Edge of Numerical Stability

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-10T04:45:20.894126Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cdb2e2c8-2058-4152-a2d3-8e1b07741213 · outbound

This paper cites Muon Learns More Robust and Transferable Features than Adam.

Post-Grokking Collapse at the Representation-Readout Interface in Muon-Trained Transformers Muon Learns More Robust and Transferable Features than Adam

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-10T04:45:21.217698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 932e19b7-2af1-48d5-a846-e767267de3ed · outbound

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

Post-Grokking Collapse at the Representation-Readout Interface in Muon-Trained Transformers The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-10T04:45:20.903362Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9bf2c24f-978d-4e23-9314-e62cbbd8c86d · outbound

This paper cites Muon Optimizer Accelerates Grokking.

Post-Grokking Collapse at the Representation-Readout Interface in Muon-Trained Transformers Muon Optimizer Accelerates Grokking

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-10T04:45:20.907841Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be7ff376-6c98-4dd2-b194-0e8da4f430dd · outbound

This paper cites Explaining grokking through circuit efficiency.

Post-Grokking Collapse at the Representation-Readout Interface in Muon-Trained Transformers Explaining grokking through circuit efficiency

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-10T04:45:20.912326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a36d1f4-47db-4760-b235-0a42a0048717 · outbound

This paper cites an unresolved cited work.

Post-Grokking Collapse at the Representation-Readout Interface in Muon-Trained Transformers Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-10T04:45:20.916955Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3968fd5b-d5ba-473b-9d97-6858ae96c381 · outbound

This paper cites The Active Ingredient in Muon's Grokking.

Post-Grokking Collapse at the Representation-Readout Interface in Muon-Trained Transformers The Active Ingredient in Muon's Grokking

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-10T04:45:20.981163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation dd612525-1660-487c-ac3d-208e628d909b · outbound

This paper cites The Clock and the Pizza: Two Stories in Mechanistic Explanation of Neural Networks.

Post-Grokking Collapse at the Representation-Readout Interface in Muon-Trained Transformers The Clock and the Pizza: Two Stories in Mechanistic Explanation of Neural Networks

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-10T04:45:20.925684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.