Paper Citation Record · LEDGER

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer

As of 23 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 1 inbound Pith citation observation for arXiv:2606.25975.

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

pith.paper-citation-record.v1
2606.25975 v1

Coverage vector

measured 57 of 57 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-25T20:02:29.737946Z

measured 58 of 58 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:29:57.830335Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T12:29:58.992973Z

Reference resolution

57 of 57 outbound references displayed

verified exact5
verified fuzzy0
unresolved48
parse uncertain1
malformed identifier0
metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 159c1e59-1a55-4a67-830a-be352c4863fa · outbound

This paper cites an unresolved cited work.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-25T20:02:29.737946Z

Source-reported events for the cited work

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Observation c17e8bfc-5787-4757-be7f-8e2e53456920 · outbound

This paper cites 2509.03439 , archiveprefix =.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer 2509.03439 , archiveprefix =

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-07-04T20:30:08.242680Z

Source-reported events for the cited work

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Observation 2cb913be-769b-4444-bf5e-2ed5aa90ecf9 · outbound

This paper cites Foundations and Trends in Machine Learning , volume = 4, number = 1, pages =.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Foundations and Trends in Machine Learning , volume = 4, number = 1, pages =

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-25T20:02:29.737946Z

Source-reported events for the cited work

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Observation 21895af0-8a6d-4257-8b15-325a21f12705 · outbound

This paper cites an unresolved cited work.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Unresolved cited work

Reference 4

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Observation 69565b17-f66b-4cb2-9113-94293ca679eb · outbound

This paper cites IEEE Transactions on Information Theory , volume = 60, number = 2, pages =.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer IEEE Transactions on Information Theory , volume = 60, number = 2, pages =

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-06-27T04:10:32.260618Z

Source-reported events for the cited work

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Observation c78bd7a6-4f07-4694-bb3b-3a7043d5f7ac · outbound

This paper cites Linear and Multilinear Algebra , publisher =.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Linear and Multilinear Algebra , publisher =

Reference 6

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Source-reported events for the cited work

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Observation 244cb170-1508-4132-81e5-4e3a01d0102b · outbound

This paper cites an unresolved cited work.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Unresolved cited work

Reference 7

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 66a48ad4-92f6-4b6d-92c0-1111588a0045 · outbound

This paper cites Proceedings of the IEEE conference on computer vision and pattern recognition , pages =.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Proceedings of the IEEE conference on computer vision and pattern recognition , pages =

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-25T20:02:29.737946Z

Source-reported events for the cited work

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Observation f852d753-1329-4a1c-baf8-908bb7259aca · outbound

This paper cites an unresolved cited work.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Unresolved cited work

Reference 9

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Source-reported events for the cited work

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Observation e2ad14e5-ddc9-4074-bd2a-ff183bca30dd · outbound

This paper cites an unresolved cited work.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Unresolved cited work

Reference 10

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Source-reported events for the cited work

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Observation 5b00f6bc-e114-42fe-bad4-8ad6ab5c3f4b · outbound

This paper cites European Conference on Computer Vision , pages =.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer European Conference on Computer Vision , pages =

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-25T20:02:29.737946Z

Source-reported events for the cited work

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Observation 820ce062-285d-4b2a-a826-466987c6362f · outbound

This paper cites Thinking Machines Lab: Connectionism , doi =.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Thinking Machines Lab: Connectionism , doi =

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-25T20:02:29.737946Z

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Observation 7ea65d2f-ef7e-4a6b-828e-9c479545e246 · outbound

This paper cites International conference on machine learning , pages =.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer International conference on machine learning , pages =

Reference 13

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Source-reported events for the cited work

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Observation affba257-caed-4623-b4bf-0f59c7e9bf61 · outbound

This paper cites Advances in neural information processing systems , volume = 28, doi =.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Advances in neural information processing systems , volume = 28, doi =

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-25T20:02:29.737946Z

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Observation 29000503-cd93-4ef6-ad28-b38f1210f879 · outbound

This paper cites Linear algebra and its applications , publisher =.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Linear algebra and its applications , publisher =

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-25T20:02:29.737946Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b782336-189f-4a4b-95d4-957b0e8cdefd · outbound

This paper cites an unresolved cited work.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Unresolved cited work

Reference 16

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Source-reported events for the cited work

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Observation 45c5a520-7582-468f-9c03-68774d737022 · outbound

This paper cites 2019 IEEE international conference on image processing (ICIP) , pages =.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer 2019 IEEE international conference on image processing (ICIP) , pages =

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-06-27T04:10:32.250503Z

Source-reported events for the cited work

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Observation dde9d442-6d4d-4092-871d-5346ad990a1a · outbound

This paper cites Computer Vision -- ECCV 2024 , publisher =.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Computer Vision -- ECCV 2024 , publisher =

Reference 18

Resolution: verified exact; doi, observed 2026-06-27T04:10:32.255443Z

Source-reported events for the cited work

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Observation da600abf-e1e6-488e-a773-9350102c3e0f · outbound

This paper cites an unresolved cited work.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Unresolved cited work

Reference 19

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df9ac2c1-0a8f-4fed-913f-c08381285a9b · outbound

This paper cites Mathematics of Computation , volume = 87, number = 311, pages =.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Mathematics of Computation , volume = 87, number = 311, pages =

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-25T20:02:29.737946Z

Source-reported events for the cited work

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Observation 633917de-0851-48a6-ae9f-1cbe152253a9 · outbound

This paper cites 3rd International Conference on Learning Representations,.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer 3rd International Conference on Learning Representations,

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-25T20:02:29.737946Z

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Observation 95895b18-f890-43e4-90b3-c83b9b501352 · outbound

This paper cites an unresolved cited work.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Unresolved cited work

Reference 22

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Source-reported events for the cited work

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Observation 35093e53-0068-46f5-aa97-daebad6e0e62 · outbound

This paper cites Bj\" o rck and C.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Bj\" o rck and C

Reference 23

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Source-reported events for the cited work

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Observation 1268ebb7-ddf3-44e2-a49d-b74de5b5a5b4 · outbound

This paper cites Kimi K2: Open Agentic Intelligence.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Kimi K2: Open Agentic Intelligence

Reference 24

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 20b590f6-540a-4d95-8ca7-66e7c2e33f08 · outbound

This paper cites Zhang, Y.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Zhang, Y

Reference 25

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9fd6f49b-4408-4355-91e0-8ce8c9dd74c9 · outbound

This paper cites CoRR , volume =.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer CoRR , volume =

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-25T20:02:29.737946Z

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Observation ee1a4409-5d23-4798-822c-7b3d3ff14b08 · outbound

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Tensorion: A Tensor-Aware Generalization of the Muon Optimizer ArXiv , volume =

Reference 27

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Source-reported events for the cited work

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Observation ee3704bd-dce1-4c68-afd4-03dce88c43ba · outbound

This paper cites an unresolved cited work.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Unresolved cited work

Reference 28

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Observation 272aef8b-a0fb-48ba-820b-b9641015ae39 · outbound

This paper cites an unresolved cited work.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Unresolved cited work

Reference 29

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Observation 247a6aac-9de2-44a9-9e0d-b13fe1d46054 · outbound

This paper cites an unresolved cited work.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Unresolved cited work

Reference 30

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Observation 57f67397-1597-4342-bda1-50fd52bb6309 · outbound

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Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Proceedings of the 38th International Conference on Neural Information Processing Systems , location =

Reference 31

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Observation e555bf92-f3f1-46c7-b50b-fbe791107875 · outbound

This paper cites an unresolved cited work.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Unresolved cited work

Reference 32

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Observation ff978ff8-2a9e-4cbe-be88-8f8179c2b125 · outbound

This paper cites an unresolved cited work.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Unresolved cited work

Reference 33

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Source-reported events for the cited work

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Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Proceedings of the IEEE conference on computer vision and pattern recognition , pages =

Reference 34

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Observation a69d0b90-0c21-4abb-928a-7ab5ee1d54df · outbound

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Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Proceedings of the Advances in Neural Information Processing Systems (NeurIPS) , year=

Reference 35

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Tensorion: A Tensor-Aware Generalization of the Muon Optimizer 2019 , month=

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Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Proceedings of the IEEE/CVF international conference on computer vision , pages =

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Observation 002a4cb9-3ca0-4971-85f9-89fbe99d2675 · outbound

This paper cites an unresolved cited work.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Unresolved cited work

Reference 38

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Tensorion: A Tensor-Aware Generalization of the Muon Optimizer International conference on machine learning , pages =

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Tensorion: A Tensor-Aware Generalization of the Muon Optimizer International Conference on Machine Learning , pages =

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Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Advances in Neural Information Processing Systems , volume = 36, pages =

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Tensorion: A Tensor-Aware Generalization of the Muon Optimizer International Conference on Machine Learning , pages =

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Observation a43e0602-626f-47ee-9df2-1fa28b107099 · outbound

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Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Unresolved cited work

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Observation a5631296-0ae2-4a62-b101-af1afde66b70 · outbound

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Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Unresolved cited work

Reference 45

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Tensorion: A Tensor-Aware Generalization of the Muon Optimizer International Conference on Machine Learning , pages =

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Observation 63430660-65b7-42b9-9628-04050514aeb5 · outbound

This paper cites an unresolved cited work.

Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Unresolved cited work

Reference 47

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Observation 971ee01a-9691-4acf-8033-9eab2fc79d00 · outbound

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Tensorion: A Tensor-Aware Generalization of the Muon Optimizer 2025 International Joint Conference on Neural Networks (IJCNN) , pages =

Reference 48

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Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Unresolved cited work

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Tensorion: A Tensor-Aware Generalization of the Muon Optimizer International Conference on Artificial Intelligence and Statistics , pages =

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Observation 56f976ab-1ca5-431a-a80e-9c3463412241 · outbound

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Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Unresolved cited work

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Observation c3be157c-69da-4944-b6d8-55dfd9dd9406 · outbound

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Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Unresolved cited work

Reference 52

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Tensorion: A Tensor-Aware Generalization of the Muon Optimizer International Conference on Machine Learning , doi =

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Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Thirty-seventh Conference on Neural Information Processing Systems , year =

Reference 54

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Observation 0ee8bded-a4d5-4094-b180-57fca88910ff · outbound

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Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Early convolutions help transformers see better , year =

Reference 55

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Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Journal of Physics: Conference Series , volume=

Reference 56

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Observation 1e037d3e-c8f0-4fef-869c-6f63a6ac348c · outbound

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Tensorion: A Tensor-Aware Generalization of the Muon Optimizer Computational and Applied Mathematics , volume = 45, url =

Reference 57

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Pith citing papers

Observation e59f5414-bd8f-46da-a57a-b3b448ab6c6b · inbound

Muon on the Stiefel Manifold Admits an Exact Closed-Form Update cites this paper.

Muon on the Stiefel Manifold Admits an Exact Closed-Form Update Tensorion: A Tensor-Aware Generalization of the Muon Optimizer

Reference 14

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Source-reported events for the cited work

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