Paper Citation Record · LEDGER

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response

As of 18 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2607.07204.

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

pith.paper-citation-record.v1
2607.07204 v2

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T15:54:13.658127Z

measured 43 of 43 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T15:50:41.329016Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

42 of 42 outbound references displayed

verified exact3
verified fuzzy0
unresolved31
parse uncertain0
malformed identifier8
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d33b5ae0-b3fc-4d09-83d6-bb9cfbf9bf69 · outbound

This paper cites an unresolved cited work.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Unresolved cited work

Reference 1

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Source-reported events for the cited work

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Observation c8fcf79f-7d75-40c7-a0b2-376c79b00219 · outbound

This paper cites Amari,Natural gradient works efficiently in learning, Neural Computation, 10 (1998), pp.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Amari,Natural gradient works efficiently in learning, Neural Computation, 10 (1998), pp

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation 7d56102a-98d0-468c-b13f-99594a533d80 · outbound

This paper cites OptNet: Differentiable Optimization as a Layer in Neural Networks.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response OptNet: Differentiable Optimization as a Layer in Neural Networks

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation 27438d41-3a85-4fbb-8136-80a1d4231705 · outbound

This paper cites Scalable Second Order Optimization for Deep Learning.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Scalable Second Order Optimization for Deep Learning

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation 5e0e9e83-e7e0-482a-9ba6-b0dc3456529c · outbound

This paper cites Baˇcak,Convex Analysis and Optimization in Hadamard Spaces, De Gruyter, 2014, https: //doi.org/10.1515/9783110361629.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Baˇcak,Convex Analysis and Optimization in Hadamard Spaces, De Gruyter, 2014, https: //doi.org/10.1515/9783110361629

Reference 5

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Source-reported events for the cited work

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Observation 1918658d-4299-4097-b07e-504805494c17 · outbound

This paper cites Beck and M.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Beck and M

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

Source-reported events for the cited work

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Observation eb079b92-e265-44e3-824c-ed5445cb10ea · outbound

This paper cites Efficient and Modular Implicit Differentiation.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Efficient and Modular Implicit Differentiation

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation f8ecb464-4b6d-4062-8739-9142b6cd5630 · outbound

This paper cites an unresolved cited work.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation 0ae0a7d7-f2b1-4ec0-a665-3e00f1f4dcb6 · outbound

This paper cites Dacorogna,Direct Methods in the Calculus of Variations, vol.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Dacorogna,Direct Methods in the Calculus of Variations, vol

Reference 9

Resolution: malformed identifier; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation d19b04fa-d818-4381-b8fa-126d7ff2cf81 · outbound

This paper cites Dasgupta, N.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Dasgupta, N

Reference 10

Resolution: verified exact; doi, observed 2026-07-14T16:00:36.724285Z

Source-reported events for the cited work

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Observation 4ee01099-b37a-4959-8257-f70bbd65dbb6 · outbound

This paper cites The Shapley Taylor Interaction Index.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response The Shapley Taylor Interaction Index

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation a91d9f40-9e98-437c-8054-941bbd02f8ac · outbound

This paper cites Diamond and S.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Diamond and S

Reference 12

Resolution: verified exact; doi, observed 2026-07-14T16:00:36.730688Z

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Observation f8b45b81-8615-4270-8599-48bcf3d83c76 · outbound

This paper cites an unresolved cited work.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Unresolved cited work

Reference 13

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Observation 2e9f68ae-cc40-407a-ac8f-9acd0298dcde · outbound

This paper cites an unresolved cited work.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation a3d5249f-6dc1-4333-9cda-18cd5072ac78 · outbound

This paper cites Duchi, E.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Duchi, E

Reference 15

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Observation 812fb40e-5352-4c77-9934-35924bccfce5 · outbound

This paper cites an unresolved cited work.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation 80606c2d-0c90-4663-8f4d-04d54889142c · outbound

This paper cites Bilevel Programming for Hyperparameter Optimization and Meta-Learning.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Bilevel Programming for Hyperparameter Optimization and Meta-Learning

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation c76db170-56d9-4bcc-bc2a-04e4d919e86e · outbound

This paper cites an unresolved cited work.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation c8072f87-4d45-4bab-af73-bc405b2322e8 · outbound

This paper cites A Kronecker-factored approximate Fisher matrix for convolution layers.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response A Kronecker-factored approximate Fisher matrix for convolution layers

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation 379fd0a8-6488-4dd4-860c-d12dd3edb0fc · outbound

This paper cites Gupta, T.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Gupta, T

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation 69198f08-b27f-401e-ad28-2f6cc25f2025 · outbound

This paper cites an unresolved cited work.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation e06a3cb4-0c8a-4425-a799-b9e0b7ea7853 · outbound

This paper cites Explaining Explanations: Axiomatic Feature Interactions for Deep Networks.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Explaining Explanations: Axiomatic Feature Interactions for Deep Networks

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation b6f0d85c-2f05-435b-97fa-7d64f7d4d08a · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Adam: A Method for Stochastic Optimization

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation cd937a6d-012d-4e11-aa96-38220ffeb02c · outbound

This paper cites Krichene, A.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Krichene, A

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation f3896c37-3b17-479c-9666-5752d2147128 · outbound

This paper cites an unresolved cited work.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation 2a3586ee-df22-4cf7-bed4-edf942462aa0 · outbound

This paper cites an unresolved cited work.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation 918a1ff8-16f9-427a-a810-1bf5502a5139 · outbound

This paper cites an unresolved cited work.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Unresolved cited work

Reference 27

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Observation 762e8dc6-04ad-4a8e-800d-7eeed8d5f00c · outbound

This paper cites Li,Information-Induced Training Geometry: Exact Reduction, Canonical Completion, and Structured Expressivity, 2026.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Li,Information-Induced Training Geometry: Exact Reduction, Canonical Completion, and Structured Expressivity, 2026

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation 6076c7df-8973-4adb-8ea0-53c6152c8d23 · outbound

This paper cites Optimization Geometrodynamics: Variational Reduction and Interaction Curvature.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Optimization Geometrodynamics: Variational Reduction and Interaction Curvature

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation 8918a8f0-3f91-4f30-adee-601ec1c49a7a · outbound

This paper cites Lim,Best approximation in riemannian geodesic submanifolds of positive definite matri- ces, Canadian Journal of Mathematics, 56 (2004), pp.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Lim,Best approximation in riemannian geodesic submanifolds of positive definite matri- ces, Canadian Journal of Mathematics, 56 (2004), pp

Reference 30

Resolution: malformed identifier; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation f6da3ac3-f994-4269-9ab7-8ffca0b69b09 · outbound

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Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Lu and T

Reference 31

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Observation d61ec29b-bc20-4489-928b-ea7eaf7194cb · outbound

This paper cites Mar´echal and J.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Mar´echal and J

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation 85948dc3-5592-4339-8a64-b387d46df7e3 · outbound

This paper cites Martens and R.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Martens and R

Reference 33

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation f54697c8-cc5f-41fe-a0b5-6485e59c4c58 · outbound

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Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Pennec, P

Reference 34

Resolution: malformed identifier; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation 2050781b-a87e-4b05-bcbe-5033475fe8a4 · outbound

This paper cites Pukelsheim,Optimal Design of Experiments, Society for Industrial and Applied Mathematics, Philadelphia, 2006, https://doi.org/10.1137/1.9780898719109.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Pukelsheim,Optimal Design of Experiments, Society for Industrial and Applied Mathematics, Philadelphia, 2006, https://doi.org/10.1137/1.9780898719109

Reference 35

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation e6d7c374-2d24-4d76-913c-bd77ee58e12e · outbound

This paper cites an unresolved cited work.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation bcf978b0-2c66-497b-a579-996d2cead3fc · outbound

This paper cites Shazeer and M.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Shazeer and M

Reference 37

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation 1e7b4bbf-0593-481f-a16d-2e7d2ea8b706 · outbound

This paper cites Sra and R.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Sra and R

Reference 38

Resolution: malformed identifier; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation 2897cccb-a346-445c-90a9-84eb3f74d6a9 · outbound

This paper cites A Differential Equation for Modeling Nesterov's Accelerated Gradient Method: Theory and Insights.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response A Differential Equation for Modeling Nesterov's Accelerated Gradient Method: Theory and Insights

Reference 39

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation 76fa09e1-0f77-4d7f-a380-0196482a6cc8 · outbound

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Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response Tanaka and K

Reference 40

Resolution: malformed identifier; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation 050df661-c2b5-4c09-9cb7-7c62ecb274ad · outbound

This paper cites van der Sluis,Condition numbers and equilibration of matrices, Numerische Mathematik, 14 (1969), pp.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response van der Sluis,Condition numbers and equilibration of matrices, Numerische Mathematik, 14 (1969), pp

Reference 41

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Observation 5da76fba-3e9c-4765-849a-094b71716045 · outbound

This paper cites A Variational Perspective on Accelerated Methods in Optimization.

Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response A Variational Perspective on Accelerated Methods in Optimization

Reference 42

Resolution: unresolved; no resolver link, observed 2026-07-14T15:54:13.658127Z

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Pith citing papers

Observation 94239239-cc92-4bc2-ad0c-a2ada4879d0a · inbound

Causal Optimizer Interaction Calculus: Hidden Geometric Relaxation and Identifiable Interventions cites this paper.

Causal Optimizer Interaction Calculus: Hidden Geometric Relaxation and Identifiable Interventions Restricted Dynamic Geometric Complexity: Path-Space Reduction and M\"obius--Jacobi Response

Reference 162

Resolution: unresolved; no resolver link, observed 2026-07-14T15:50:41.329016Z

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Unavailable: canonical work link unavailable.