Paper Citation Record · LEDGER

The Active Ingredient in Muon's Grokking

As of 9 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2607.20512.

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

pith.paper-citation-record.v1
2607.20512 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T08:28:33.706603Z

measured 11 of 11 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 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

11 of 11 outbound references displayed

verified exact0
verified fuzzy0
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b0e28653-09eb-43c1-aea3-aa6257f229bc · outbound

This paper cites ICLR MATH-AI Workshop , year=.

The Active Ingredient in Muon's Grokking ICLR MATH-AI Workshop , year=

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T08:28:32.445249Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e090b022-7f17-4fcc-b3e6-9f9b53f84fa7 · outbound

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

The Active Ingredient in Muon's Grokking International Conference on Learning Representations (ICLR) , year=

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T08:28:32.506040Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0497ac28-6765-492f-863e-6dbe52fefe91 · outbound

This paper cites 2024 , howpublished=.

The Active Ingredient in Muon's Grokking 2024 , howpublished=

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T08:28:32.672407Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 53d343b2-c0f0-411b-9e0a-5e4cc5b2ac2d · outbound

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

The Active Ingredient in Muon's Grokking Grokfast: Accelerated Grokking by Amplifying Slow Gradients

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T08:28:32.849318Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1af1a4dd-1c2d-494d-902a-a07bf5fe19f4 · outbound

This paper cites Muon Optimizer Accelerates Grokking.

The Active Ingredient in Muon's Grokking Muon Optimizer Accelerates Grokking

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T08:28:32.969860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c98aaf84-fab4-4758-904a-8b307401291d · outbound

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

The Active Ingredient in Muon's Grokking International Conference on Learning Representations (ICLR) , year=

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T08:28:33.109800Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7063a99-f01d-4935-9875-25a6ef582779 · outbound

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

The Active Ingredient in Muon's Grokking International Conference on Learning Representations (ICLR) , year=

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T08:28:33.219404Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 756bf03b-b857-419e-b343-650f8ae81871 · outbound

This paper cites Explaining grokking through circuit efficiency.

The Active Ingredient in Muon's Grokking Explaining grokking through circuit efficiency

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T08:28:33.385834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea9f7ef8-83ae-43e0-8493-c6095aefb82e · outbound

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

The Active Ingredient in Muon's Grokking The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T08:28:33.489230Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a281663c-8843-4b44-be78-b97ee7ff5787 · outbound

This paper cites Old Optimizer, New Norm: An Anthology.

The Active Ingredient in Muon's Grokking Old Optimizer, New Norm: An Anthology

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T08:28:33.632256Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0e1b2b6-06a7-412c-a242-5282d04c3d7a · outbound

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

The Active Ingredient in Muon's Grokking International Conference on Learning Representations (ICLR) , year=

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T08:28:33.706603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.