Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-08T04:26:01.496011Z
Paper Citation Record · LEDGER
Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon
As of 9 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2608.02991.
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 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
13 of 13 outbound references displayed
- verified exact0
- verified fuzzy4
- unresolved6
- parse uncertain0
- malformed identifier0
- metadata mismatch3
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 88faf4b3-b4d9-4ed1-9691-1dcb9fb587a4 · outbound
This paper cites Muon is Scalable for LLM Training.
Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon Muon is Scalable for LLM Training
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-08T04:26:01.448972Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a3e1097d-b5fd-4774-ae0b-13207d432b91 · outbound
This paper cites DynMuon: A Dynamic Spectral Shaping View of Muon.
Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon DynMuon: A Dynamic Spectral Shaping View of Muon
Reference 2
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-08T04:26:01.913880Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 41150ff5-ef9b-4f73-8c30-410f7fbdcf49 · outbound
This paper cites Muon is Not That Special: Random or Inverted Spectra Work Just as Well.
Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon Muon is Not That Special: Random or Inverted Spectra Work Just as Well
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-08T04:26:01.458335Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 98ede1a9-0032-4272-948d-e991b76083fc · outbound
This paper cites arXiv preprint arXiv:2606.13867 (2026) https://doi.org/10.48550/arXiv.2606.13867.
Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon arXiv preprint arXiv:2606.13867 (2026) https://doi.org/10.48550/arXiv.2606.13867
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-08T04:26:01.462097Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2fd07769-3bdf-41c3-8108-19c55b51bbd9 · outbound
This paper cites arXiv preprint arXiv:2602.11185 (2026) https://doi.org/10.48550/ arXiv.2602.11185.
Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon arXiv preprint arXiv:2602.11185 (2026) https://doi.org/10.48550/ arXiv.2602.11185
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-08T04:26:01.466556Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b6a5e23e-00e7-4bd3-b888-5c54b2d7e3ad · outbound
This paper cites Enhancing LLM Training via Spectral Clipping.
Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon Enhancing LLM Training via Spectral Clipping
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-08T04:26:01.470387Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6b228407-4413-4419-81a6-491e46cd6c30 · outbound
This paper cites In: Interna- tional Conference on Learning Representations (2015) 17.
Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon In: Interna- tional Conference on Learning Representations (2015) 17
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T04:26:01.959202Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation cc07025b-f382-4791-b9d2-1fecd819a3fe · outbound
This paper cites Hidden Boundary Motion in Transformer Optimization: Function-Space Orthogonalization of Affine Weight and Bias Updates.
Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon Hidden Boundary Motion in Transformer Optimization: Function-Space Orthogonalization of Affine Weight and Bias Updates
Reference 8
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-08T04:26:01.549187Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e1f520c1-fc37-4cb6-8b4c-04a5a3c21252 · outbound
This paper cites Information Allocation Dynamics in Neural Network Optimization.
Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon Information Allocation Dynamics in Neural Network Optimization
Reference 9
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-08T04:26:01.533828Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e067d91b-4ed3-4c0f-9644-d3ca40fd9df3 · outbound
This paper cites In: Proceedings of the 32nd International Conference on Machine Learning.
Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon In: Proceedings of the 32nd International Conference on Machine Learning
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T04:26:01.950001Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 62174ce9-ad00-4fba-833e-0b3efdbd58be · outbound
This paper cites In: Proceedings of the 35th International Conference on Machine Learning.
Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon In: Proceedings of the 35th International Conference on Machine Learning
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T04:26:01.941063Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 75d56ee1-e793-42fa-83ec-4308ccad104d · outbound
This paper cites In: Proceedings of the 49th Annual Meeting of the Association for Computational Linguistics: Human Language Technologies, pp.
Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon In: Proceedings of the 49th Annual Meeting of the Association for Computational Linguistics: Human Language Technologies, pp
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T04:26:01.931647Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 9a6e3c03-e41a-4c5c-8e9b-53f3e7667c49 · outbound
This paper cites In: Proceedings of the 2019 Conference of the North American Chapter of the Association for Computa- tional Linguistics: Human Language Technologies, pp.
Joint Affine Spectral Shaping: Coupling Weight and Bias Updates Beyond Weight-Only Muon In: Proceedings of the 2019 Conference of the North American Chapter of the Association for Computa- tional Linguistics: Human Language Technologies, pp
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-08T04:26:01.496011Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.