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Paper Citation Record · LEDGER

Muon Optimizer Accelerates Grokking

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2504.16041.

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

pith.paper-citation-record.v1
2504.16041 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 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 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T04:45:20.907841Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T19:33:54.016778Z

Reference resolution

0 of 0 outbound references displayed

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  • verified fuzzy0
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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 e8b0b3f7-4124-4b7d-af20-62d8e62811d5 · inbound

When and Why SignSGD Outperforms SGD: A Theoretical Study Based on $\ell_1$-norm Lower Bounds cites this paper.

When and Why SignSGD Outperforms SGD: A Theoretical Study Based on $\ell_1$-norm Lower Bounds Muon Optimizer Accelerates Grokking

Reference 39

Resolution
verified exact
arxiv_id, observed 2026-05-11T19:21:07.625327Z

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.

source=pdf_text observed=2026-05-08T12:14:28.866499Z digest=sha256:6f1aae560929bdd110b70cbcbf1ef6a07bf0a8c41c7a40a22d57ed7771f01ace

Observation 88155c43-a13c-4031-82b2-de76b4abb055 · inbound

Spectral Flattening Is All Muon Needs: How Orthogonalization Controls Learning Rate and Convergence cites this paper.

Spectral Flattening Is All Muon Needs: How Orthogonalization Controls Learning Rate and Convergence Muon Optimizer Accelerates Grokking

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-14T19:57:53.104043Z

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.

source=pdf_text observed=2026-05-14T19:56:23.124500Z digest=sha256:553162eb799ea0929245c4561dae275d57ed80ce78b1f3bc2e0f768cfa19191b

Observation 2078771d-a702-41be-906f-4a447711f5cd · inbound

Convergence of Spectral Descent for Non-smooth Optimization cites this paper.

Convergence of Spectral Descent for Non-smooth Optimization Muon Optimizer Accelerates Grokking

Reference 24

Resolution
verified exact
arxiv_id, observed 2026-06-29T19:33:54.018396Z

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.

source=pdf_text observed=2026-06-29T19:30:04.244636Z digest=sha256:ee8d31de18165beaf99eb65ec7f791a546987a2b190f1f13ee275f77ca912249

Observation 05481e2a-5303-4e6c-8ffc-c75d21f7ad41 · inbound

Reassessing Muon for Matrix Factorization cites this paper.

Reassessing Muon for Matrix Factorization Muon Optimizer Accelerates Grokking

Reference 71

Resolution
unresolved
no resolver link, observed 2026-08-02T05:49:25.829773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T05:49:25.829773Z digest=sha256:b9f64be153191da9b45927c2dacae7bb712c1fc5e9c3da71b0b078bfe4529f48

Observation d7aeb7f8-b799-4088-b80f-36f79f4ad905 · inbound

Reassessing Muon for Matrix Factorization cites this paper.

Reassessing Muon for Matrix Factorization Muon Optimizer Accelerates Grokking

Reference 74

Resolution
unresolved
no resolver link, observed 2026-08-04T04:23:01.281987Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T04:23:01.281987Z digest=sha256:2d54808068943d3ffed9258685bdcd3bb956e7c516559c047dd73b8714f1746b

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

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

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.

source=arxiv_source observed=2026-08-02T08:28:32.969860Z digest=sha256:5810e34b708de62d1986e9ffb69034cf654182b81bc379296cfea362184aeb99

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

Post-Grokking Collapse at the Representation-Readout Interface in Muon-Trained Transformers cites this paper.

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.

source=pdf_text observed=2026-08-10T04:45:20.907841Z digest=sha256:2a5da6e1ae951ce38ecefce349e134535392d3fd1886c21a8f8d5677f44324c7