Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 34 inbound Pith citation observations for arXiv:2505.13416.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-11T11:16:02.719180Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation a44a1b75-d60b-4fa6-ac84-2ea22d3d0d44 · inbound
SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration cites this paper.
SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 44
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T21:45:10.527295Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 343e4d9b-96f6-47c0-919a-4ff4d0c073e2 · inbound
Simple Stepsize for Quasi-Newton Methods with Global Convergence Guarantees cites this paper.
Simple Stepsize for Quasi-Newton Methods with Global Convergence Guarantees Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 1697
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T15:43:57.042277Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e56f3e9c-f65b-43f4-ba78-0851382efaac · inbound
Low-rank Orthogonalization for Large-scale Matrix Optimization with Applications to Foundation Model Training cites this paper.
Low-rank Orthogonalization for Large-scale Matrix Optimization with Applications to Foundation Model Training Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 43
- Resolution
- verified exact
- arxiv_id, observed 2026-05-18T15:51:34.049441Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 89b0056e-4ca2-4751-b148-1cc2c7646d97 · inbound
DeMuon: A Decentralized Muon for Matrix Optimization over Graphs cites this paper.
DeMuon: A Decentralized Muon for Matrix Optimization over Graphs Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T13:25:32.825270Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 95a62f5f-478d-46fb-89b6-07d1f2248832 · inbound
Why Do We Need Warm-up? A Theoretical Perspective cites this paper.
Why Do We Need Warm-up? A Theoretical Perspective Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 52
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T12:38:59.776219Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 627a7a76-0783-4fda-b7b0-e2a4541b683d · inbound
Preconditioned Norms: A Unified Framework for Steepest Descent, Quasi-Newton and Adaptive Methods cites this paper.
Preconditioned Norms: A Unified Framework for Steepest Descent, Quasi-Newton and Adaptive Methods Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 15
- Resolution
- verified exact
- arxiv_id, observed 2026-05-21T21:10:38.760232Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 38357879-9624-470a-8f55-eb555ee657e4 · inbound
Non-Euclidean SGD for Structured Optimization: Unified Analysis and Improved Rates cites this paper.
Non-Euclidean SGD for Structured Optimization: Unified Analysis and Improved Rates Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 46
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T22:20:05.602621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 107d7054-db86-4268-8265-90a09bc9ff55 · inbound
Turbo-Muon: Almost-Orthogonal Pre-Conditioning for Fast Muon Updates cites this paper.
Turbo-Muon: Almost-Orthogonal Pre-Conditioning for Fast Muon Updates Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 30
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T18:37:49.615408Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 01af50d3-6af2-442a-80c6-d57f0bc2f4ea · inbound
Hierarchical Semantic Correlation-Aware Masked Autoencoder for Unsupervised Audio-Visual Representation Learning cites this paper.
Hierarchical Semantic Correlation-Aware Masked Autoencoder for Unsupervised Audio-Visual Representation Learning Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-07-13T10:41:51.251736Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 29bae2f1-1cda-4efd-be6c-701af07ac116 · inbound
Communication-Efficient Gluon in Federated Learning cites this paper.
Communication-Efficient Gluon in Federated Learning Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 32
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T10:56:03.206285Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a8ef95f0-3b7c-4691-a2e9-3fc79a68d2ba · inbound
SUDA-Muon: Structural Design Principles and Boundaries for Fully Decentralized Muon cites this paper.
SUDA-Muon: Structural Design Principles and Boundaries for Fully Decentralized Muon Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 20
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T22:26:13.675800Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 09849b3b-a548-40b8-964d-9c064b044a18 · inbound
Muon with Nesterov Momentum: Heavy-Tailed Noise and (Randomized) Inexact Polar Decomposition cites this paper.
Muon with Nesterov Momentum: Heavy-Tailed Noise and (Randomized) Inexact Polar Decomposition Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 43
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T05:00:56.688807Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7de08db2-5eec-4436-906c-583c332fcba2 · inbound
Local LMO: Constrained Gradient Optimization via a Local Linear Minimization Oracle cites this paper.
Local LMO: Constrained Gradient Optimization via a Local Linear Minimization Oracle Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 27
- Resolution
- verified exact
- arxiv_id, observed 2026-05-12T08:06:29.281354Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 735db6c0-d70e-4e20-84e1-27ad06c33f70 · inbound
Intrinsic Muon: Spectral Optimization on Riemannian Matrix Manifolds cites this paper.
Intrinsic Muon: Spectral Optimization on Riemannian Matrix Manifolds Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 51
- Resolution
- verified exact
- arxiv_id, observed 2026-05-12T05:36:26.141427Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 31fe0f84-231d-4823-bbf3-461b53326504 · inbound
Phases of Muon: When Muon Eclipses SignSGD cites this paper.
Phases of Muon: When Muon Eclipses SignSGD Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 63
- Resolution
- verified exact
- arxiv_id, observed 2026-05-12T06:41:28.870190Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a2a3fb1b-d128-45ec-9d7d-2ece8cb301c5 · inbound
Constrained Stochastic Spectral Preconditioning Converges for Nonconvex Objectives cites this paper.
Constrained Stochastic Spectral Preconditioning Converges for Nonconvex Objectives Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 56
- Resolution
- verified exact
- arxiv_id, observed 2026-05-13T05:37:19.241420Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f9874835-7e65-4b90-ad62-dd2862a588f9 · inbound
Rescaled Asynchronous SGD: Optimal Distributed Optimization under Data and System Heterogeneity cites this paper.
Rescaled Asynchronous SGD: Optimal Distributed Optimization under Data and System Heterogeneity Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 59
- Resolution
- verified exact
- arxiv_id, observed 2026-05-14T19:32:50.953656Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation dc100e25-4d67-42e6-a078-35ace105e5ae · inbound
Symmetry-Compatible Principle for Optimizer Design: Embeddings, LM Heads, SwiGLU MLPs, and MoE Routers cites this paper.
Symmetry-Compatible Principle for Optimizer Design: Embeddings, LM Heads, SwiGLU MLPs, and MoE Routers Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 132
- Resolution
- verified exact
- arxiv_id, observed 2026-05-20T09:38:11.220931Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation efbc976d-7e8e-47e0-b8e1-62996c62c824 · inbound
Symmetry-Compatible Principle for Optimizer Design: Embeddings, LM Heads, SwiGLU MLPs, and MoE Routers cites this paper.
Symmetry-Compatible Principle for Optimizer Design: Embeddings, LM Heads, SwiGLU MLPs, and MoE Routers Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 134
- Resolution
- verified exact
- arxiv_id, observed 2026-06-30T18:45:00.306143Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4de886da-5418-4f81-b0af-1259e899adb4 · inbound
Ringmaster LMO: Asynchronous Linear Minimization Oracle Momentum Method cites this paper.
Ringmaster LMO: Asynchronous Linear Minimization Oracle Momentum Method Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 299
- Resolution
- verified exact
- arxiv_id, observed 2026-05-20T13:13:18.456147Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 66c05d6b-7ffb-47a8-9121-8ac607731255 · inbound
MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models cites this paper.
MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 31
- Resolution
- verified exact
- arxiv_id, observed 2026-05-20T08:13:08.300435Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8bbd071c-aec9-48dc-b830-ca6fbd5bd813 · inbound
LOSCAR-SGD: Local SGD with Communication-Computation Overlap and Delay-Corrected Sparse Model Averaging cites this paper.
LOSCAR-SGD: Local SGD with Communication-Computation Overlap and Delay-Corrected Sparse Model Averaging Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 300
- Resolution
- verified exact
- arxiv_id, observed 2026-05-21T05:49:40.580934Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 193a8c53-2099-4705-85ea-e67c2468cd29 · inbound
Muon in Vision Transformers: Optimizer-Recipe Interactions and Gradient Spectra cites this paper.
Muon in Vision Transformers: Optimizer-Recipe Interactions and Gradient Spectra Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 29
- Resolution
- verified exact
- arxiv_id, observed 2026-06-30T13:54:43.950467Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4cc498d6-8686-4782-bce3-6e003d64a20c · inbound
Softsign: Smooth Sign in Your Optimizer For Better Parameter Heterogeneity Handling cites this paper.
Softsign: Smooth Sign in Your Optimizer For Better Parameter Heterogeneity Handling Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 41
- Resolution
- verified exact
- arxiv_id, observed 2026-06-28T22:52:44.824841Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 65da08d7-24ba-41a4-9e99-d29d78f95584 · inbound
OptMuon: Closed-Loop Orthogonalized Momentum Methods for Stochastic Optimization with Zero-Noise Optimality cites this paper.
OptMuon: Closed-Loop Orthogonalized Momentum Methods for Stochastic Optimization with Zero-Noise Optimality Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 44
- Resolution
- verified exact
- arxiv_id, observed 2026-07-02T23:47:28.520199Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b7f867de-3da4-4d2a-9862-098defe77260 · inbound
OptMuon: Closed-Loop Orthogonalized Momentum Methods for Stochastic Optimization with Zero-Noise Optimality cites this paper.
OptMuon: Closed-Loop Orthogonalized Momentum Methods for Stochastic Optimization with Zero-Noise Optimality Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 191
- Resolution
- verified exact
- arxiv_id, observed 2026-06-29T05:43:08.823150Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 340cbad2-4ed3-42cf-bb9e-75342b618a0c · inbound
Zero-order Parameter-free Optimization for LMO-based Methods: Novel Approach for Efficient Fine-tuning cites this paper.
Zero-order Parameter-free Optimization for LMO-based Methods: Novel Approach for Efficient Fine-tuning Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 32
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T17:08:43.708424Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a709a072-8953-4030-8981-52c91daf5d42 · inbound
Restart and Adaptive Acceleration in Stochastic Gradient Methods cites this paper.
Restart and Adaptive Acceleration in Stochastic Gradient Methods Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 19
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T06:59:37.619277Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5d1fd162-1d0c-46df-b5a3-1a348df4ddb9 · inbound
Convergence Analysis of Muon-type Methods with Inexact LMO in the Degenerate Case cites this paper.
Convergence Analysis of Muon-type Methods with Inexact LMO in the Degenerate Case Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 64
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T07:29:38.586902Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4327bb8e-b43a-430d-ae29-0adfc816039a · inbound
Reassessing Muon for Matrix Factorization cites this paper.
Reassessing Muon for Matrix Factorization Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T05:49:18.355300Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2942369d-0b12-4d62-b9fb-938b1af576fd · inbound
Reassessing Muon for Matrix Factorization cites this paper.
Reassessing Muon for Matrix Factorization Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T04:22:55.756619Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dfeb62f0-1d00-4501-bfbd-f5e4fcbd400b · inbound
Sign compression for Muon: SignMuon, MuonSign, and the Limits of Error Feedback cites this paper.
Sign compression for Muon: SignMuon, MuonSign, and the Limits of Error Feedback Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T02:09:02.175951Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 05988b0b-7922-4fda-9be0-d7af88850989 · inbound
CMuon: Accelerating and Stabilizing Diffusion Transformer Training via Chunked Momentum Orthogonalization cites this paper.
CMuon: Accelerating and Stabilizing Diffusion Transformer Training via Chunked Momentum Orthogonalization Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T06:04:04.278683Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 83ca53af-758f-44ee-92e4-c7ce32a792e1 · inbound
Second-Order Muon Done Right: A Principled Marriage of Spectral Geometry and Curvature cites this paper.
Second-Order Muon Done Right: A Principled Marriage of Spectral Geometry and Curvature Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T11:16:02.719180Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.