Paper Citation Record · LEDGER

Federated Compositional Muon Optimizer for Matrix-Wise Models

As of 17 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2608.12710.

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

pith.paper-citation-record.v1
2608.12710 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T01:10:04.464210Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

17 of 17 outbound references displayed

verified exact1
verified fuzzy0
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a631add8-cd19-4c76-af0f-f0bd72f65a9d · outbound

This paper cites On the Convergence of Muon and Beyond.

Federated Compositional Muon Optimizer for Matrix-Wise Models On the Convergence of Muon and Beyond

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-16T01:10:04.050751Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6192ee82-19e9-4df3-ac41-20cae44fb588 · outbound

This paper cites Understanding Gradient Orthogonalization for Deep Learning via Non-Euclidean Trust-Region Optimization.

Federated Compositional Muon Optimizer for Matrix-Wise Models Understanding Gradient Orthogonalization for Deep Learning via Non-Euclidean Trust-Region Optimization

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T01:10:04.430235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a981cd09-1e58-4070-b97b-45f75943f550 · outbound

This paper cites Muon is Scalable for LLM Training.

Federated Compositional Muon Optimizer for Matrix-Wise Models Muon is Scalable for LLM Training

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T01:10:04.436936Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a7b5a1a-5296-4b05-94d2-44cbb1c44107 · outbound

This paper cites Communication-Efficient Gluon in Federated Learning.

Federated Compositional Muon Optimizer for Matrix-Wise Models Communication-Efficient Gluon in Federated Learning

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-16T01:10:04.445533Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a8c1301-b041-430e-9862-a9621793adca · outbound

This paper cites Adaptive Federated Optimization.

Federated Compositional Muon Optimizer for Matrix-Wise Models Adaptive Federated Optimization

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-16T01:10:04.449951Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 566bf412-d620-4961-9df4-47fd531ec102 · outbound

This paper cites Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs).

Federated Compositional Muon Optimizer for Matrix-Wise Models Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-16T01:10:04.453731Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c47bb14a-db1e-4f95-970a-29ba47302e99 · outbound

This paper cites Lions and Muons: Optimization via Stochastic Frank-Wolfe under Heavy-Tailed Noise.

Federated Compositional Muon Optimizer for Matrix-Wise Models Lions and Muons: Optimization via Stochastic Frank-Wolfe under Heavy-Tailed Noise

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-16T01:10:04.457214Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 327bf47e-da4a-404c-91c4-401e5fa931d3 · outbound

This paper cites On the Convergence Analysis of Muon.

Federated Compositional Muon Optimizer for Matrix-Wise Models On the Convergence Analysis of Muon

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-16T01:10:04.460819Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9ce83f6-ab43-4949-957c-1449bda4003d · outbound

This paper cites On provable benefits of muon in federated learning.arXiv preprint arXiv:2510.03866,.

Federated Compositional Muon Optimizer for Matrix-Wise Models On provable benefits of muon in federated learning.arXiv preprint arXiv:2510.03866,

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-16T01:10:04.464210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd031040-54ac-49a9-8e46-9273ffc48d28 · outbound

This paper cites A Note on the Convergence of Muon.

Federated Compositional Muon Optimizer for Matrix-Wise Models A Note on the Convergence of Muon

Reference 2015

Resolution: unresolved; no resolver link, observed 2026-08-16T01:10:04.433781Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e71bf7f-a3df-45ca-be53-af30009dee14 · outbound

This paper cites Pointer Sentinel Mixture Models.

Federated Compositional Muon Optimizer for Matrix-Wise Models Pointer Sentinel Mixture Models

Reference 2017

Resolution: unresolved; no resolver link, observed 2026-08-16T01:10:04.439835Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6219d5ff-ae94-4e13-ba04-2cb92522c9bd · outbound

This paper cites Personalized Federated Learning: A Meta-Learning Approach.

Federated Compositional Muon Optimizer for Matrix-Wise Models Personalized Federated Learning: A Meta-Learning Approach

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-16T01:10:04.411308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1816c1cf-c99f-4f90-b097-dd051279da03 · outbound

This paper cites Compositional federated learning: Applications in distributionally robust averaging and meta learning.

Federated Compositional Muon Optimizer for Matrix-Wise Models Compositional federated learning: Applications in distributionally robust averaging and meta learning

Reference 2020

Resolution: verified exact; local_arxiv, observed 2026-08-16T01:10:04.977144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation aa6c6e93-d652-4f9a-9c56-eb2b6393e7d9 · outbound

This paper cites LiMuon: Light and Fast Muon Optimizer for Large Models.

Federated Compositional Muon Optimizer for Matrix-Wise Models LiMuon: Light and Fast Muon Optimizer for Large Models

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-16T01:10:04.420191Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 332c29fa-f4b2-4cd7-9136-fc3d510be06b · outbound

This paper cites Advances and Open Problems in Federated Learning.

Federated Compositional Muon Optimizer for Matrix-Wise Models Advances and Open Problems in Federated Learning

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-16T01:10:04.423511Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa5901c2-979c-440f-a459-6f6d5e6f333a · outbound

This paper cites Muon is provably faster with momentum variance reduction.arXiv preprint arXiv:2512.16598,.

Federated Compositional Muon Optimizer for Matrix-Wise Models Muon is provably faster with momentum variance reduction.arXiv preprint arXiv:2512.16598,

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-16T01:10:04.442662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b78546a-6398-4d1c-9e20-789b4a889699 · outbound

This paper cites URLhttps://openreview.net/forum?id= 4uRlbSNevR.

Federated Compositional Muon Optimizer for Matrix-Wise Models URLhttps://openreview.net/forum?id= 4uRlbSNevR

Reference 2026

Resolution: unresolved; no resolver link, observed 2026-08-16T01:10:04.426965Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.