Paper Citation Record · LEDGER

Substitution and quotient of the isotropy group action

As of 14 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2607.15069.

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

pith.paper-citation-record.v1
2607.15069 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T00:18:37.048566Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

41 of 41 outbound references displayed

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verified fuzzy0
unresolved41
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malformed identifier0
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External citation measurements

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Outbound references

Observation c2086bac-9b54-481b-84f2-9cbda4fabba6 · outbound

This paper cites Artin,Algebra,2nd ed., Pearson Prentice Hall, 2011.

Substitution and quotient of the isotropy group action Artin,Algebra,2nd ed., Pearson Prentice Hall, 2011

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:32.225041Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83be06ff-2523-425d-8ad6-b61ebb4268cd · outbound

This paper cites an unresolved cited work.

Substitution and quotient of the isotropy group action Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:32.365437Z

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Observation 42663114-aaa7-4263-9fc7-92f7fcf43e8e · outbound

This paper cites Bezanson, A.

Substitution and quotient of the isotropy group action Bezanson, A

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:32.560307Z

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Observation 61674177-20c1-4f97-b662-4af5923ae57b · outbound

This paper cites an unresolved cited work.

Substitution and quotient of the isotropy group action Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:32.705701Z

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Observation 08bcea5e-ec9a-4285-bbff-5a9e04c14c58 · outbound

This paper cites Symmetries of matrix multiplication algorithms. I.

Substitution and quotient of the isotropy group action Symmetries of matrix multiplication algorithms. I

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:32.982302Z

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Observation f603291d-3c58-41af-a061-0e6d870e21d1 · outbound

This paper cites an unresolved cited work.

Substitution and quotient of the isotropy group action Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:33.121035Z

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Observation 731e20a7-4eff-4e8a-9b6b-ffb867f64a7f · outbound

This paper cites Decker, C.

Substitution and quotient of the isotropy group action Decker, C

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:33.194560Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a469b146-4cfb-44d9-be71-f7cffd686ffe · outbound

This paper cites A non-commutative algorithm for multiplying 4x4 matrices using 48 non-complex multiplications.

Substitution and quotient of the isotropy group action A non-commutative algorithm for multiplying 4x4 matrices using 48 non-complex multiplications

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:33.365532Z

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Unavailable: canonical work link unavailable.

Observation 244a976d-7d72-4c7f-9730-c94a11ec9020 · outbound

This paper cites Dumas, C.

Substitution and quotient of the isotropy group action Dumas, C

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:33.588221Z

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Observation 65130a65-3ab6-4faf-b3ca-2debff0dbb29 · outbound

This paper cites Fawzi et al.Discovering faster matrix multiplication algorithms with reinforcement learning.Nature, 610:47-53, 2022.

Substitution and quotient of the isotropy group action Fawzi et al.Discovering faster matrix multiplication algorithms with reinforcement learning.Nature, 610:47-53, 2022

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:33.817535Z

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Observation 2363ef29-099b-44d8-bb4f-fcbf32ca8ffc · outbound

This paper cites Eisenbud, D.

Substitution and quotient of the isotropy group action Eisenbud, D

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:33.978623Z

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Observation 3bcf0256-39eb-4f35-865c-7dafbfbad212 · outbound

This paper cites Fels and P.

Substitution and quotient of the isotropy group action Fels and P

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:34.192020Z

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Observation 73a0b8f9-a8ba-4eda-97ce-8ea9d5a0a8d6 · outbound

This paper cites Greuel and G.

Substitution and quotient of the isotropy group action Greuel and G

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:34.351232Z

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Observation b3bd3194-4aae-46f6-8e7b-b98021e8f6b9 · outbound

This paper cites de Groote,On varieties of optimal algorithms for the computation of bilinear mappings.

Substitution and quotient of the isotropy group action de Groote,On varieties of optimal algorithms for the computation of bilinear mappings

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:34.418908Z

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Unavailable: canonical work link unavailable.

Observation 2d45a654-586d-49aa-8f25-0071739056dd · outbound

This paper cites de Groote,On varieties of optimal algorithms for the computation of bilinear mappings.

Substitution and quotient of the isotropy group action de Groote,On varieties of optimal algorithms for the computation of bilinear mappings

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:34.488867Z

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Observation 20d7a37d-82c2-4a71-bc8c-2f4308cf14b1 · outbound

This paper cites an unresolved cited work.

Substitution and quotient of the isotropy group action Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:34.593321Z

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Observation a88ced16-a4b0-4ae7-bf3e-c7d717567f2f · outbound

This paper cites H ¨ormander,The Analysis of Linear Partial Differential Operators III: Pseudo-Differential Operators, Classics in Mathematics.

Substitution and quotient of the isotropy group action H ¨ormander,The Analysis of Linear Partial Differential Operators III: Pseudo-Differential Operators, Classics in Mathematics

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:34.679058Z

Source-reported events for the cited work

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Observation a5f14e27-37d2-4501-8d07-0dfdb8edd176 · outbound

This paper cites Hubert and I.

Substitution and quotient of the isotropy group action Hubert and I

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:34.778966Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2de471a0-2ca5-476a-8f2f-23b02926edad · outbound

This paper cites an unresolved cited work.

Substitution and quotient of the isotropy group action Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:34.858814Z

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Observation 44d33aad-6206-452e-8c54-4c243947ccd0 · outbound

This paper cites an unresolved cited work.

Substitution and quotient of the isotropy group action Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:34.969301Z

Source-reported events for the cited work

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Observation 943a6061-341e-4a2c-94cc-01238a9d240f · outbound

This paper cites an unresolved cited work.

Substitution and quotient of the isotropy group action Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:35.056218Z

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Unavailable: canonical work link unavailable.

Observation fa23e8b1-ded4-4eb5-b71b-6ecd7b072077 · outbound

This paper cites Kauers and J.

Substitution and quotient of the isotropy group action Kauers and J

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:35.119387Z

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Unavailable: canonical work link unavailable.

Observation 72798be2-6c69-4491-8d6c-516e24875b90 · outbound

This paper cites an unresolved cited work.

Substitution and quotient of the isotropy group action Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:35.227140Z

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Observation 8cc79474-b160-49cb-993f-ffd568673d03 · outbound

This paper cites Laderman,A noncommutative algorithm for multiplying3×3matrices using 23 multiplications.

Substitution and quotient of the isotropy group action Laderman,A noncommutative algorithm for multiplying3×3matrices using 23 multiplications

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:35.312297Z

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Observation ffc6b9a6-0d51-40e1-bf66-6a65583ba5e4 · outbound

This paper cites an unresolved cited work.

Substitution and quotient of the isotropy group action Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:35.400627Z

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Observation 074927e2-17cd-41ec-88ee-1a3b484f1938 · outbound

This paper cites an unresolved cited work.

Substitution and quotient of the isotropy group action Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:35.498403Z

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Observation e3fde7d7-3cb4-416d-a5f0-4fd158cf8d2c · outbound

This paper cites an unresolved cited work.

Substitution and quotient of the isotropy group action Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:35.549742Z

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Observation f8ff6014-2d73-4e79-b48b-61542bd0b3bc · outbound

This paper cites an unresolved cited work.

Substitution and quotient of the isotropy group action Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:35.626762Z

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Observation bf6c2d55-1375-40ce-82ad-ffc43b28f559 · outbound

This paper cites an unresolved cited work.

Substitution and quotient of the isotropy group action Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:35.756886Z

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Unavailable: canonical work link unavailable.

Observation 45f37745-d41e-485f-b2bf-8fed3c9cad50 · outbound

This paper cites Li, Github:https://github.com/Xinli-zjut.

Substitution and quotient of the isotropy group action Li, Github:https://github.com/Xinli-zjut

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:35.860527Z

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Observation b31e33bc-0fbd-4b45-8ecc-237f61e6ddb4 · outbound

This paper cites Moran, O.

Substitution and quotient of the isotropy group action Moran, O

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:35.967300Z

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Observation 73bb715d-f903-41a5-9e9c-d84b9af5e177 · outbound

This paper cites AlphaEvolve: A coding agent for scientific and algorithmic discovery.

Substitution and quotient of the isotropy group action AlphaEvolve: A coding agent for scientific and algorithmic discovery

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:36.092861Z

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Observation 22a772c5-a67f-4adc-8db7-7cc75c76b1ce · outbound

This paper cites an unresolved cited work.

Substitution and quotient of the isotropy group action Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:36.157148Z

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Observation ce627c95-58c0-4c86-b974-417b0446039e · outbound

This paper cites an unresolved cited work.

Substitution and quotient of the isotropy group action Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:36.279292Z

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Observation 1ea778c0-fe25-49dc-a6b8-25740a45da21 · outbound

This paper cites an unresolved cited work.

Substitution and quotient of the isotropy group action Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:36.417887Z

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Observation cd5bb691-1858-483f-9ff9-fbfedfad7f86 · outbound

This paper cites an unresolved cited work.

Substitution and quotient of the isotropy group action Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:36.521606Z

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Observation 96f64d13-10fa-4b9c-9a2d-c11cb4651bc8 · outbound

This paper cites an unresolved cited work.

Substitution and quotient of the isotropy group action Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:36.656373Z

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Observation d30154b9-3661-4e1c-82d5-fe72064655c7 · outbound

This paper cites an unresolved cited work.

Substitution and quotient of the isotropy group action Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:36.747069Z

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Unavailable: canonical work link unavailable.

Observation 2b02be9b-7dc1-4634-b392-b808323b7799 · outbound

This paper cites Strassen,Gaussian elimination is not optimal,Numer.

Substitution and quotient of the isotropy group action Strassen,Gaussian elimination is not optimal,Numer

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:36.829475Z

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Observation bb740193-5cfc-4ea8-8a53-2aa74de8bf4a · outbound

This paper cites Characterization of Decomposition of Matrix Multiplication Tensors.

Substitution and quotient of the isotropy group action Characterization of Decomposition of Matrix Multiplication Tensors

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:36.923383Z

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Unavailable: canonical work link unavailable.

Observation 2727619b-9697-4a50-bb20-14417ccdcc88 · outbound

This paper cites Vermeylen and M.

Substitution and quotient of the isotropy group action Vermeylen and M

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-02T00:18:37.048566Z

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Pith citing papers

No inbound Pith citation observations are available.