Paper Citation Record · LEDGER

Muse: Representation Geometry of Muon Beyond Normalized Momentum

As of 18 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2607.14536.

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

pith.paper-citation-record.v1
2607.14536 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T01:58:59.470291Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

52 of 52 outbound references displayed

verified exact0
verified fuzzy0
unresolved52
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b6478e77-768b-4064-8758-af61d2920cb4 · outbound

This paper cites Dion: Distributed orthonormalized updates.arXiv preprint arXiv:2504.05295,.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Dion: Distributed orthonormalized updates.arXiv preprint arXiv:2504.05295,

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:54.731200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cbc04a75-f5c5-42a3-bc97-a39d6e2ddab4 · outbound

This paper cites Asgo: Adaptive structured gradient optimization.arXiv preprint arXiv:2503.20762,.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Asgo: Adaptive structured gradient optimization.arXiv preprint arXiv:2503.20762,

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:54.878668Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef5667fd-e342-40ed-99d3-7b7dae37b856 · outbound

This paper cites Towards understanding of orthogonalization in muon.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Towards understanding of orthogonalization in muon

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:55.100825Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8efe9be9-d689-4eff-97ff-25674660cb43 · outbound

This paper cites A Note on Stability for Orthogonalized Matrix Momentum with Client Sampling.

Muse: Representation Geometry of Muon Beyond Normalized Momentum A Note on Stability for Orthogonalized Matrix Momentum with Client Sampling

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:55.267546Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c13f7f6d-c441-400d-bd26-a03b5da86492 · outbound

This paper cites Momentum Improves Normalized SGD.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Momentum Improves Normalized SGD

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:55.322596Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f896f2c0-0693-4214-8ad5-a006bf549f9a · outbound

This paper cites RMNP: Row-Momentum Normalized Preconditioning for Scalable Matrix-Based Optimization.

Muse: Representation Geometry of Muon Beyond Normalized Momentum RMNP: Row-Momentum Normalized Preconditioning for Scalable Matrix-Based Optimization

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:55.483815Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7c76543-5380-4bc7-b31d-1b78439499d0 · outbound

This paper cites Towards quantifying the hes- sian structure of neural networks.ArXiv, abs/2505.02809,.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Towards quantifying the hes- sian structure of neural networks.ArXiv, abs/2505.02809,

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:55.575809Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e6d1440-26d7-4d8e-935a-31719f2950ad · outbound

This paper cites A stable whitening optimizer for efficient neural network training.arXiv preprint arXiv:2506.07254,.

Muse: Representation Geometry of Muon Beyond Normalized Momentum A stable whitening optimizer for efficient neural network training.arXiv preprint arXiv:2506.07254,

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:55.724551Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b9c86b42-cc2f-460a-b43b-c793750250a5 · outbound

This paper cites Accelerating newton-schulz iteration for orthogonalization via chebyshev-type polynomials.arXiv preprint arXiv:2506.10935,.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Accelerating newton-schulz iteration for orthogonalization via chebyshev-type polynomials.arXiv preprint arXiv:2506.10935,

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:55.788444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57800599-fdbc-4cc5-b6e9-0b5dcd005c29 · outbound

This paper cites Error feedback for muon and friends.arXiv preprint arXiv:2510.00643,.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Error feedback for muon and friends.arXiv preprint arXiv:2510.00643,

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:55.884774Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1539bd7-e743-4000-98d5-7ac72f3e20d0 · outbound

This paper cites Effective quantization of muon optimizer states.arXiv preprint arXiv:2509.23106,.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Effective quantization of muon optimizer states.arXiv preprint arXiv:2509.23106,

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:55.981422Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10f40f6a-933f-426d-ad80-6a7aac84ea9b · outbound

This paper cites One LR Doesn't Fit All: Heavy-Tail Guided Layerwise Learning Rates for LLMs.

Muse: Representation Geometry of Muon Beyond Normalized Momentum One LR Doesn't Fit All: Heavy-Tail Guided Layerwise Learning Rates for LLMs

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:56.074206Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b97021b-231a-435c-a276-fdc26babb26e · outbound

This paper cites Muon: An optimizer for hidden layers in neural networks, 2024.URL https://kellerjordan.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Muon: An optimizer for hidden layers in neural networks, 2024.URL https://kellerjordan

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:56.226314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dbbab644-5b21-4f46-9a4e-70ba3cabd3bc · outbound

This paper cites Kingma and Jimmy Ba.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Kingma and Jimmy Ba

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:56.406603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c3adbebd-adde-4e3d-aeb9-4b56aa6c498c · outbound

This paper cites A Note on the Convergence of Muon.

Muse: Representation Geometry of Muon Beyond Normalized Momentum A Note on the Convergence of Muon

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:56.521365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c6b34f7-ec05-4ab8-9e97-050576f90874 · outbound

This paper cites Muon is Scalable for LLM Training.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Muon is Scalable for LLM Training

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:56.620436Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a53e40f-6504-487b-9223-539d18ec29c9 · outbound

This paper cites Improved convergence rates of muon optimizer for nonconvex optimization.arXiv preprint arXiv:2601.19400,.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Improved convergence rates of muon optimizer for nonconvex optimization.arXiv preprint arXiv:2601.19400,

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:56.738817Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3fe3f01d-38df-4f88-bbed-ca3bfaf54673 · outbound

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

Muse: Representation Geometry of Muon Beyond Normalized Momentum Spectral Flattening Is All Muon Needs: How Orthogonalization Controls Learning Rate and Convergence

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:56.801154Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 870b6145-21cc-44bc-9ae0-b3afb72e1021 · outbound

This paper cites Training Deep Learning Models with Norm-Constrained LMOs.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Training Deep Learning Models with Norm-Constrained LMOs

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:56.858678Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 396b7c96-50e8-4c88-af32-9f4f0d2e4209 · outbound

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

Muse: Representation Geometry of Muon Beyond Normalized Momentum Lions and Muons: Optimization via Stochastic Frank-Wolfe under Heavy-Tailed Noise

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:57.054576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ac3607e-eab5-45bc-861b-281d26212261 · outbound

This paper cites Practical Efficiency of Muon for Pretraining.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Practical Efficiency of Muon for Pretraining

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:57.151505Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d46af02-ce28-4c21-b800-60b78f998cf8 · outbound

This paper cites Adafactor: Adaptive Learning Rates with Sublinear Memory Cost.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Adafactor: Adaptive Learning Rates with Sublinear Memory Cost

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:57.244141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d826c50-3951-4413-bbf3-3c7d8feafd5f · outbound

This paper cites A Distributed Data-Parallel PyTorch Implementation of the Distributed Shampoo Optimizer for Training Neural Networks At-Scale.

Muse: Representation Geometry of Muon Beyond Normalized Momentum A Distributed Data-Parallel PyTorch Implementation of the Distributed Shampoo Optimizer for Training Neural Networks At-Scale

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:57.470749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eccd216f-e81d-4910-8b1c-5d0caeeec10b · outbound

This paper cites Beyond the ideal: Analyzing the inexact muon update.arXiv preprint arXiv:2510.19933,.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Beyond the ideal: Analyzing the inexact muon update.arXiv preprint arXiv:2510.19933,

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:57.559222Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46d52726-7bf9-4034-a44e-92ac250684cc · outbound

This paper cites Muon is Not That Special: Random or Inverted Spectra Work Just as Well.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Muon is Not That Special: Random or Inverted Spectra Work Just as Well

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:57.648841Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed1511da-0f61-4333-b435-5942df674eae · outbound

This paper cites Adamuon: Adaptive muon optimizer.arXiv preprint arXiv:2507.11005,.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Adamuon: Adaptive muon optimizer.arXiv preprint arXiv:2507.11005,

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:57.840791Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44bcb7b7-4b37-4c75-9bef-1c19fc08d128 · outbound

This paper cites Llama 2: Open Foundation and Fine-Tuned Chat Models.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Llama 2: Open Foundation and Fine-Tuned Chat Models

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:57.995794Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69b88092-6cda-4c82-b93a-68dee7a6b7b9 · outbound

This paper cites SOAP: Improving and Stabilizing Shampoo using Adam.

Muse: Representation Geometry of Muon Beyond Normalized Momentum SOAP: Improving and Stabilizing Shampoo using Adam

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:58.137028Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 89bb6eb8-798b-4d5c-8c6a-278523ea9871 · outbound

This paper cites FOAM: Blocked State Folding for Memory-Efficient LLM Training.

Muse: Representation Geometry of Muon Beyond Normalized Momentum FOAM: Blocked State Folding for Memory-Efficient LLM Training

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:58.340687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d138f25-3399-4eaf-bd38-20e42e225a24 · outbound

This paper cites On the width scaling of neural optimizers under matrix operator norms i: Row/column normalization and hyperparameter transfer.arXiv preprint arXiv:2603.09952,.

Muse: Representation Geometry of Muon Beyond Normalized Momentum On the width scaling of neural optimizers under matrix operator norms i: Row/column normalization and hyperparameter transfer.arXiv preprint arXiv:2603.09952,

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:58.493923Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd0f53ac-6b1c-47ec-96bf-825f239333de · outbound

This paper cites MARS: Unleashing the Power of Variance Reduction for Training Large Models.

Muse: Representation Geometry of Muon Beyond Normalized Momentum MARS: Unleashing the Power of Variance Reduction for Training Large Models

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:58.664681Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 146bd240-389c-4007-9005-e49d4b5bbaec · outbound

This paper cites AdaGrad Meets Muon: Adaptive Stepsizes for Orthogonal Updates.

Muse: Representation Geometry of Muon Beyond Normalized Momentum AdaGrad Meets Muon: Adaptive Stepsizes for Orthogonal Updates

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:58.812108Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e75b75a-8679-4bed-9317-a165571041f1 · outbound

This paper cites Adam improves muon: Adaptive moment estimation with orthogonalized momentum.arXiv preprint arXiv:2602.17080,.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Adam improves muon: Adaptive moment estimation with orthogonalized momentum.arXiv preprint arXiv:2602.17080,

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:58.954521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c55a9958-41fd-4dfa-9b49-0fb8d195c6b7 · outbound

This paper cites Why Transformers Need Adam: A Hessian Perspective.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Why Transformers Need Adam: A Hessian Perspective

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:59.068392Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f996c8b-c93f-4812-977b-69afa1120047 · outbound

This paper cites Dongruo Zhou, Pan Xu, and Quanquan Gu.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Dongruo Zhou, Pan Xu, and Quanquan Gu

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:59.138889Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7a2ed3ec-6b1a-432b-a9a7-b6b54a140fb8 · outbound

This paper cites an unresolved cited work.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Unresolved cited work

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:59.193271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 732cb2cf-693c-4585-a289-c6b56ac63f39 · outbound

This paper cites The model has123 .59M trainable parameters.

Muse: Representation Geometry of Muon Beyond Normalized Momentum The model has123 .59M trainable parameters

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:59.250355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 305d1632-1bc4-4e11-8fdd-0b495afd8e2e · outbound

This paper cites an unresolved cited work.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Unresolved cited work

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:59.339608Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a0176ffd-d426-4cfe-a9f4-c955175ecb30 · outbound

This paper cites an unresolved cited work.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Unresolved cited work

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:59.404451Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19362d81-6115-4c7a-ab80-a17dad70e600 · outbound

This paper cites In these settings, the selected markers for narrower or vectorized representations occur at larger learning rates than the native and square markers.

Muse: Representation Geometry of Muon Beyond Normalized Momentum In these settings, the selected markers for narrower or vectorized representations occur at larger learning rates than the native and square markers

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:59.470291Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77f2db4d-028e-4a73-b3e3-ed929626b149 · outbound

This paper cites Convergence Bound and Critical Batch Size of Muon Optimizer.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Convergence Bound and Critical Batch Size of Muon Optimizer

Reference 2001

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:56.958192Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32602136-5368-45e8-81d1-9a4edd0a6678 · outbound

This paper cites Turbo-Muon: Almost-Orthogonal Pre-Conditioning for Fast Muon Updates.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Turbo-Muon: Almost-Orthogonal Pre-Conditioning for Fast Muon Updates

Reference 2009

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:55.045162Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b8d2b3fa-77f9-4be2-adaa-f649b8345ebd · outbound

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

Muse: Representation Geometry of Muon Beyond Normalized Momentum Old Optimizer, New Norm: An Anthology

Reference 2010

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:54.944560Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed0993ad-a037-4ec5-be3d-a2d68b3a1396 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Adam: A Method for Stochastic Optimization

Reference 2015

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:56.459867Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 40c630d3-1549-4ae7-a5da-a098966ee331 · outbound

This paper cites On the Convergence Analysis of Muon.

Muse: Representation Geometry of Muon Beyond Normalized Momentum On the Convergence Analysis of Muon

Reference 2018

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:57.379152Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76fda286-b3b7-4c75-8c6d-04316cf8a1cb · outbound

This paper cites SWAN: SGD with Normalization and Whitening Enables Stateless LLM Training.

Muse: Representation Geometry of Muon Beyond Normalized Momentum SWAN: SGD with Normalization and Whitening Enables Stateless LLM Training

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:56.668607Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77855437-811a-45bc-a879-1a1718058ae8 · outbound

This paper cites Momentum-Based Variance Reduction in Non-Convex SGD.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Momentum-Based Variance Reduction in Non-Convex SGD

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:55.383616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f869083-9683-4abf-9048-54ea40b9687f · outbound

This paper cites Florian Hübler, Thomas Pethick, and Suvrit Sra.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Florian Hübler, Thomas Pethick, and Suvrit Sra

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:56.153729Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5bfd9b92-f247-4ce5-8006-293a787cadfb · outbound

This paper cites SPIDER: Near-Optimal Non-Convex Optimization via Stochastic Path Integrated Differential Estimator.

Muse: Representation Geometry of Muon Beyond Normalized Momentum SPIDER: Near-Optimal Non-Convex Optimization via Stochastic Path Integrated Differential Estimator

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:55.651818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae0a97f0-11a6-46d1-bb2b-3dfc045da18f · outbound

This paper cites Muonbp: Faster muon via block-periodic orthogonalization.arXiv preprint arXiv:2510.16981,.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Muonbp: Faster muon via block-periodic orthogonalization.arXiv preprint arXiv:2510.16981,

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:56.298155Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78c90d0c-209a-42e8-a4e3-17d1e1482d3d · outbound

This paper cites The Polar Express: Optimal Matrix Sign Methods and Their Application to the Muon Algorithm.

Muse: Representation Geometry of Muon Beyond Normalized Momentum The Polar Express: Optimal Matrix Sign Methods and Their Application to the Muon Algorithm

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:54.820588Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 187d6fda-353f-479f-9bd2-11016d2e094c · outbound

This paper cites On the Convergence of Muon and Beyond.

Muse: Representation Geometry of Muon Beyond Normalized Momentum On the Convergence of Muon and Beyond

Reference 2026

Resolution: unresolved; no resolver link, observed 2026-08-02T01:58:55.197610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.