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Paper Citation Record · LEDGER

Numerical Design of Optimized First-Order Algorithms

As of 16 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 3 inbound Pith citation observations for arXiv:2507.20773.

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

pith.paper-citation-record.v1
2507.20773 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T13:22:34.645152Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:33:51.760126Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-25T05:46:39.640426Z

Reference resolution

40 of 40 outbound references displayed

  • verified exact1
  • verified fuzzy29
  • unresolved10
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 306f66b6-758c-43b9-baca-3c3bfbd5f50a · outbound

This paper cites Abbaszadehpeivasti, E.

Numerical Design of Optimized First-Order Algorithms Abbaszadehpeivasti, E

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 807e274b-8b77-4b4f-934d-024a44f99c36 · outbound

This paper cites Katyusha: The first direct acceleration of stochastic gradient methods.

Numerical Design of Optimized First-Order Algorithms Katyusha: The first direct acceleration of stochastic gradient methods

Reference 2

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 514fc84c-3cd3-49b9-8938-843f44a35177 · outbound

This paper cites Altschuler and Pablo A.

Numerical Design of Optimized First-Order Algorithms Altschuler and Pablo A

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c660e500-1b9a-4a28-b176-47583cc9b335 · outbound

This paper cites Altschuler and Pablo A.

Numerical Design of Optimized First-Order Algorithms Altschuler and Pablo A

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 7e01fb5b-6823-448b-912b-b6c10ff77023 · outbound

This paper cites Taylor, and Francis Bach.

Numerical Design of Optimized First-Order Algorithms Taylor, and Francis Bach

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 85e5fdeb-978b-4f28-a2dc-61a7ea6ecbdc · outbound

This paper cites A fast iterative shrinkage-thresholding algorithm for linear inverse problems.

Numerical Design of Optimized First-Order Algorithms A fast iterative shrinkage-thresholding algorithm for linear inverse problems

Reference 6

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 9d6d3c98-1f1b-40a6-aa3e-05153af62a25 · outbound

This paper cites Fr´ ed´ eric Bonnans and Alexander Shapiro.Perturbation Analysis of Optimization Prob- lems.

Numerical Design of Optimized First-Order Algorithms Fr´ ed´ eric Bonnans and Alexander Shapiro.Perturbation Analysis of Optimization Prob- lems

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 0ecc5d4f-201c-41fd-a8c6-b1dbb15fbb56 · outbound

This paper cites Boyd and L.

Numerical Design of Optimized First-Order Algorithms Boyd and L

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 7c21b24c-e898-4163-9da7-db158c64479c · outbound

This paper cites A global algorithm for nonlinear semidefinite programming.

Numerical Design of Optimized First-Order Algorithms A global algorithm for nonlinear semidefinite programming

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 1aefff7f-4d9b-4404-8978-2e86ce8e474c · outbound

This paper cites Performance estimation of the gradient method with fixed arbitrary step sizes.

Numerical Design of Optimized First-Order Algorithms Performance estimation of the gradient method with fixed arbitrary step sizes

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 6b76af4a-55b9-4b36-ba94-191f8d70e87c · outbound

This paper cites On the worst-case complexity of the gradient method with exact line search for smooth strongly convex functions.

Numerical Design of Optimized First-Order Algorithms On the worst-case complexity of the gradient method with exact line search for smooth strongly convex functions

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation fa02ef2e-2108-4adc-8888-a556451c9f97 · outbound

This paper cites an unresolved cited work.

Numerical Design of Optimized First-Order Algorithms Unresolved cited work

Reference 12

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation cbbdb00b-1bd0-4d6c-83c1-568c014202cb · outbound

This paper cites Performance of first-order methods for smooth convex minimization: A novel approach.

Numerical Design of Optimized First-Order Algorithms Performance of first-order methods for smooth convex minimization: A novel approach

Reference 13

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 2584f306-a9b4-41e1-b423-50a7a907b88a · outbound

This paper cites Worst-case functions for the gradient method with fixed variable step sizes.

Numerical Design of Optimized First-Order Algorithms Worst-case functions for the gradient method with fixed variable step sizes

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 1d06f4e8-110f-4a3a-b33a-12155c72839b · outbound

This paper cites Fares, D.

Numerical Design of Optimized First-Order Algorithms Fares, D

Reference 15

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation fa840acc-1500-4e92-a44e-8c15fc8d7a77 · outbound

This paper cites Accelerated, parallel and proximal coordinate descent.

Numerical Design of Optimized First-Order Algorithms Accelerated, parallel and proximal coordinate descent

Reference 16

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 191d2b56-395a-4b8e-90c8-d89b93e4f6bf · outbound

This paper cites On fundamental proof struc- tures in first-order optimization.

Numerical Design of Optimized First-Order Algorithms On fundamental proof struc- tures in first-order optimization

Reference 17

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ef7d3342-5a72-455f-9f2a-58f4090688da · outbound

This paper cites Optimal first-order methods for convex functions with a quadratic upper bound.

Numerical Design of Optimized First-Order Algorithms Optimal first-order methods for convex functions with a quadratic upper bound

Reference 18

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 9252e8d6-b7b4-400d-86fc-7e1703c47130 · outbound

This paper cites Provably faster gradient descent via long steps.

Numerical Design of Optimized First-Order Algorithms Provably faster gradient descent via long steps

Reference 19

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 645512ba-8901-434c-b77e-62e18ede6770 · outbound

This paper cites an unresolved cited work.

Numerical Design of Optimized First-Order Algorithms Unresolved cited work

Reference 20

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation fdd3f974-6a64-404e-8aab-dd1c1ad00569 · outbound

This paper cites Van Parys, and Ernest K.

Numerical Design of Optimized First-Order Algorithms Van Parys, and Ernest K

Reference 21

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 2d1447ea-f8c3-45a2-972c-732987457636 · outbound

This paper cites an unresolved cited work.

Numerical Design of Optimized First-Order Algorithms Unresolved cited work

Reference 22

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Observation 1e3ed446-4914-461a-abf2-5e4646b124a7 · outbound

This paper cites Hendrickx, and Ion Necoara.

Numerical Design of Optimized First-Order Algorithms Hendrickx, and Ion Necoara

Reference 23

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Source-reported events for the cited work

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Observation 346a78c5-39c0-44b1-b05f-d240749e043c · outbound

This paper cites an unresolved cited work.

Numerical Design of Optimized First-Order Algorithms Unresolved cited work

Reference 24

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 6649fbe8-8f16-4854-a2c0-6706b7e7dba6 · outbound

This paper cites an unresolved cited work.

Numerical Design of Optimized First-Order Algorithms Unresolved cited work

Reference 25

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ce0a7491-566c-4be4-9e9a-637d09c16905 · outbound

This paper cites A universal catalyst for first-order optimization.

Numerical Design of Optimized First-Order Algorithms A universal catalyst for first-order optimization

Reference 26

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 6110c8f7-8f99-440d-9488-95d268e2644b · outbound

This paper cites Monteiro and Benar F.

Numerical Design of Optimized First-Order Algorithms Monteiro and Benar F

Reference 27

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 24a61b46-8c7c-4b6c-8094-b2c85b63a371 · outbound

This paper cites Linear convergence of first order methods for non-strongly convex optimization.

Numerical Design of Optimized First-Order Algorithms Linear convergence of first order methods for non-strongly convex optimization

Reference 28

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation b7d245da-4b56-43b8-9fbf-4c43aa604caf · outbound

This paper cites an unresolved cited work.

Numerical Design of Optimized First-Order Algorithms Unresolved cited work

Reference 29

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation b564a910-9fdd-4072-8152-086d514e227f · outbound

This paper cites Problem Complexity and Method Efficiency in Optimization.

Numerical Design of Optimized First-Order Algorithms Problem Complexity and Method Efficiency in Optimization

Reference 30

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 691d73d0-4911-4cef-8fb0-b32b9c82f535 · outbound

This paper cites A method of solving a convex programming problem with convergence rate o(1/k2).

Numerical Design of Optimized First-Order Algorithms A method of solving a convex programming problem with convergence rate o(1/k2)

Reference 31

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 2037e4f6-5333-47d9-9b45-aaee3994a23f · outbound

This paper cites Efficiency of coordinate descent methods on huge-scale optimization prob- lems.

Numerical Design of Optimized First-Order Algorithms Efficiency of coordinate descent methods on huge-scale optimization prob- lems

Reference 32

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 49e47a8d-0b88-4f50-be87-5444e0844208 · outbound

This paper cites an unresolved cited work.

Numerical Design of Optimized First-Order Algorithms Unresolved cited work

Reference 33

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 4510ac7e-ccfa-42bd-9bb2-a5b64319a9c2 · outbound

This paper cites an unresolved cited work.

Numerical Design of Optimized First-Order Algorithms Unresolved cited work

Reference 34

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 258eae1e-1269-4433-9054-eaa680ddd5a3 · outbound

This paper cites Accelerated proximal stochastic dual coordinate ascent for regularized loss minimization.

Numerical Design of Optimized First-Order Algorithms Accelerated proximal stochastic dual coordinate ascent for regularized loss minimization

Reference 35

Resolution
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raw_fallback, observed 2026-08-06T13:22:35.085814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T13:22:34.623839Z digest=sha256:eba022b6bf7fa690d67f4a217ba411c6160624c015f8c0fa33b68fbb54770b97

Observation a2c8e9db-cc8c-4db8-8912-dad3d4334990 · outbound

This paper cites An optimal gradient method for smooth strongly convex minimization.

Numerical Design of Optimized First-Order Algorithms An optimal gradient method for smooth strongly convex minimization

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T13:22:35.064959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Numerical Design of Optimized First-Order Algorithms Unresolved cited work

Reference 37

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This paper cites Taylor, Julien M.

Numerical Design of Optimized First-Order Algorithms Taylor, Julien M

Reference 38

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This paper cites On the NP-hardness of solving bilinear matrix inequalities and simultaneous stabilization with static output feedback.

Numerical Design of Optimized First-Order Algorithms On the NP-hardness of solving bilinear matrix inequalities and simultaneous stabilization with static output feedback

Reference 39

Resolution
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This paper cites Convergence analysis of an inexact gradient method on smooth convex functions.

Numerical Design of Optimized First-Order Algorithms Convergence analysis of an inexact gradient method on smooth convex functions

Reference 40

Resolution
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Pith citing papers

Observation 7ece1b8b-3ea0-48ee-82b4-08292369b55d · inbound

Local Updates in Distributed Optimization: Provable Acceleration and Topology Effects cites this paper.

Local Updates in Distributed Optimization: Provable Acceleration and Topology Effects Numerical Design of Optimized First-Order Algorithms

Reference 33

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An optimal first-order method for smooth and strongly convex composite optimization and its stationary limit cites this paper.

An optimal first-order method for smooth and strongly convex composite optimization and its stationary limit Numerical Design of Optimized First-Order Algorithms

Reference 28

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Observation cf5500cd-c9c8-459b-9b79-a932ba312779 · inbound

A lower bound for stepsize-based acceleration of gradient descent cites this paper.

A lower bound for stepsize-based acceleration of gradient descent Numerical Design of Optimized First-Order Algorithms

Reference 12

Resolution
unresolved
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Unavailable: canonical work link unavailable.

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