Paper Citation Record · LEDGER

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization

As of 9 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 3 inbound Pith citation observations for arXiv:2507.09823.

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

pith.paper-citation-record.v1
2507.09823 v2

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:59:08.441534Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T22:20:05.462048Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-21T10:30:00.360992Z

Reference resolution

41 of 41 outbound references displayed

verified exact1
verified fuzzy8
unresolved32
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 044c71cc-3a61-4d6d-8d08-bbbf4a5d29a9 · outbound

This paper cites an unresolved cited work.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:59:15.452095Z

Source-reported events for the cited work

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Observation 1a0db8a3-1de6-48e3-bd1c-067fc7a63dff · outbound

This paper cites an unresolved cited work.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:59:15.297892Z

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 19e7f568-dec2-4313-b79c-bfc5eeb2241f · outbound

This paper cites and Borwein, J.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization and Borwein, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:59:15.152202Z

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Observation c9a3aebf-c635-4fe0-bceb-de1e4d14c66e · outbound

This paper cites an unresolved cited work.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:59:15.005698Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6efaade4-aff6-41dd-8d56-0bd6d6b15f81 · outbound

This paper cites an unresolved cited work.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Unresolved cited work

Reference 5

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Source-reported events for the cited work

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Observation 3925a9a6-2eae-4dfb-8e61-972fb5b3054b · outbound

This paper cites and Orabona, F.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization and Orabona, F

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T17:59:05.573818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ffa4d961-2441-4238-8b8b-d98db76e63f8 · outbound

This paper cites and Liao, L.-Z.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization and Liao, L.-Z

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:59:14.726776Z

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 5c376bc4-a8c3-4972-8f88-fcfe828d2597 · outbound

This paper cites Training GANs with Optimism.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Training GANs with Optimism

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T17:59:05.781404Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8bbfa9b-4596-49a9-a71a-a17516db48a5 · outbound

This paper cites and Mishchenko, K.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization and Mishchenko, K

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:59:14.486915Z

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 b02765e2-0a67-433b-861f-fa9c647ec415 · outbound

This paper cites Grad-GradaGrad? A Non-Monotone Adaptive Stochastic Gradient Method.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Grad-GradaGrad? A Non-Monotone Adaptive Stochastic Gradient Method

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T17:59:05.969035Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d471d597-6a42-49b3-beb2-bac6db1152a2 · outbound

This paper cites and Teboulle, M.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization and Teboulle, M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:59:14.215745Z

Source-reported events for the cited work

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Observation 55ba1440-7c3c-46b5-a3de-a1dc51ed830b · outbound

This paper cites an unresolved cited work.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:59:14.030878Z

Source-reported events for the cited work

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Observation 2fd90a81-0e51-439d-bbdb-09633f2b06e5 · outbound

This paper cites Universal fast gradient method for stochastic composit optimization problems.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Universal fast gradient method for stochastic composit optimization problems

Reference 13

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Source-reported events for the cited work

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Observation 0cddea46-3462-4aa0-9f1d-781f353d6487 · outbound

This paper cites an unresolved cited work.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Unresolved cited work

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bbd06d20-371f-4e35-8d39-f5a4d6d8f595 · outbound

This paper cites Revisiting the Polyak step size.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Revisiting the Polyak step size

Reference 15

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1bbecc25-87ad-4bd0-9230-f36220adc923 · outbound

This paper cites an unresolved cited work.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T17:59:06.402624Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b090e445-d5a3-4a13-b689-640aeeff657f · outbound

This paper cites Y., Bach, F., and Cevher, V.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Y., Bach, F., and Cevher, V

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:59:13.633022Z

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 68214cc9-cd9c-4f6f-86f5-ab184ba9de51 · outbound

This paper cites an unresolved cited work.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:59:13.445326Z

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 ae70bb37-29b5-4dae-b62a-9eca1ad615c7 · outbound

This paper cites an unresolved cited work.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:59:13.321314Z

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 07235cc9-91c2-4069-b10d-7b69961963f5 · outbound

This paper cites SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration

Reference 20

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f9b028b8-6163-4c25-959f-4464acada25d · outbound

This paper cites On Linear Convergence in Smooth Convex-Concave Bilinearly-Coupled Saddle-Point Optimization: Lower Bounds and Optimal Algorithms.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization On Linear Convergence in Smooth Convex-Concave Bilinearly-Coupled Saddle-Point Optimization: Lower Bounds and Optimal Algorithms

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T17:59:06.823782Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09c54d7e-a504-45df-ae67-35141a42d762 · outbound

This paper cites an unresolved cited work.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:59:13.153392Z

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 e1de95b8-eadd-4910-b9f2-2eacfb85e713 · outbound

This paper cites an unresolved cited work.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Unresolved cited work

Reference 23

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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 7e82e2cd-d841-432e-9282-79973d118361 · outbound

This paper cites Y., Yurtsever, A., and Cevher, V.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Y., Yurtsever, A., and Cevher, V

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T17:59:07.100785Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6bfe14ab-f60b-4826-bfc9-c353829fd351 · outbound

This paper cites A simple uniformly optimal method without line search for convex optimization.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization A simple uniformly optimal method without line search for convex optimization

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T17:59:07.249015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d969ca45-1280-49f0-bfb2-faf0dba2cd95 · outbound

This paper cites and Orabona, F.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization and Orabona, F

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:59:12.687854Z

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 0a7b5ea9-a517-4b25-a8db-f5622747caf9 · outbound

This paper cites an unresolved cited work.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:59:12.394294Z

Source-reported events for the cited work

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Observation b0f9ed20-c4a7-4a1e-b57c-f2f28bce2681 · outbound

This paper cites and Mishchenko, K.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization and Mishchenko, K

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:59:12.054477Z

Source-reported events for the cited work

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Observation b516a060-0700-4f86-81f0-571b64b85f5d · outbound

This paper cites and Tam, M.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization and Tam, M

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:59:11.771650Z

Source-reported events for the cited work

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Observation 4784ea8a-5a4d-4ee0-b73c-5f91d8fdee30 · outbound

This paper cites Adaptive Bound Optimization for Online Convex Optimization.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Adaptive Bound Optimization for Online Convex Optimization

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T17:59:07.637463Z

Source-reported events for the cited work

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Observation bcfb6263-7dd2-4108-a4cb-1e431886bb11 · outbound

This paper cites Prodigy: An Expeditiously Adaptive Parameter-Free Learner.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Prodigy: An Expeditiously Adaptive Parameter-Free Learner

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-06T17:59:07.725771Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8b98b4d-e89a-47be-ab97-80c47f017c65 · outbound

This paper cites an unresolved cited work.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:59:11.548068Z

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 25682c3e-7327-4db8-82f5-85bdae9d6939 · outbound

This paper cites an unresolved cited work.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:59:11.304987Z

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 e434bb96-be0e-4350-bf96-9ae683d7be06 · outbound

This paper cites an unresolved cited work.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:59:11.030977Z

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 5868d419-fb29-4e9c-8d10-e50f0f1d5511 · outbound

This paper cites an unresolved cited work.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:59:09.438200Z

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 b294c62b-46ac-4af6-8ee9-5afcaa70cf19 · outbound

This paper cites Normalized Gradients for All.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Normalized Gradients for All

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-06T17:59:08.087181Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 759e5fa9-11a6-40b7-95f8-b30439309509 · outbound

This paper cites Parameter-free Stochastic Optimization of Variationally Coherent Functions.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Parameter-free Stochastic Optimization of Variationally Coherent Functions

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-06T17:59:08.180919Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eefa00d7-bafb-4753-9beb-7b5040da06fb · outbound

This paper cites an unresolved cited work.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:59:09.184361Z

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 b7870bed-257b-4f16-870a-7388ef51c533 · outbound

This paper cites an unresolved cited work.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Unresolved cited work

Reference 39

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac619be3-c147-49e5-bbde-bc00a0ddcca1 · outbound

This paper cites an unresolved cited work.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:59:08.995550Z

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 07688abc-5745-47f8-a6c3-5bc27e5f6aa3 · outbound

This paper cites an unresolved cited work.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:59:08.823723Z

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.

Pith citing papers

Observation 09d11dfc-923e-4bc6-8bcf-52fccc01b5dc · inbound

Non-Euclidean SGD for Structured Optimization: Unified Analysis and Improved Rates cites this paper.

Non-Euclidean SGD for Structured Optimization: Unified Analysis and Improved Rates Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T22:20:05.462048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2683b70-c47b-486e-b612-f428ad9effe3 · inbound

Universal and Parameter-free Gradient Sliding for Composite Optimization cites this paper.

Universal and Parameter-free Gradient Sliding for Composite Optimization Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-21T10:30:00.363440Z

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 beff8048-984b-4cdb-adc0-e7124c25b11e · inbound

Optimal Parameter-Free First-Order Methods for Convex Optimization with Unknown Growth and Smoothness cites this paper.

Optimal Parameter-Free First-Order Methods for Convex Optimization with Unknown Growth and Smoothness Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-14T02:28:43.704810Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.