Paper Citation Record · LEDGER

Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(\epsilon^{-4/7})$ Second-Order Oracle Complexity

As of 8 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2506.08362.

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

pith.paper-citation-record.v1
2506.08362 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:31:41.004408Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-19T21:08:29.524132Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-19T21:12:47.215905Z

Reference resolution

17 of 17 outbound references displayed

verified exact4
verified fuzzy5
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a62f69d6-d682-47ca-9f18-8a6c5dd85a91 · outbound

This paper cites Optimal Methods for Higher-Order Smooth Monotone Variational Inequalities.

Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(\epsilon^{-4/7})$ Second-Order Oracle Complexity Optimal Methods for Higher-Order Smooth Monotone Variational Inequalities

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T05:31:40.939618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c87f4c7b-6e42-4b89-bae6-6d680f88a8f7 · outbound

This paper cites Then ∥ ˆy − y∗∥ ≤ ∥ˆy − y∗( ˆx)∥ + ℓ1/2 µ1/2 y p ∥ ˆx − x∗∥, where we use Lemma 5.3 and y∗(x∗) = x∗ in the above inequality.

Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(\epsilon^{-4/7})$ Second-Order Oracle Complexity Then ∥ ˆy − y∗∥ ≤ ∥ˆy − y∗( ˆx)∥ + ℓ1/2 µ1/2 y p ∥ ˆx − x∗∥, where we use Lemma 5.3 and y∗(x∗) = x∗ in the above inequality

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:31:41.296770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ae5982f1-2c6e-46c2-87cd-25d84fd0fa0e · outbound

This paper cites an unresolved cited work.

Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(\epsilon^{-4/7})$ Second-Order Oracle Complexity Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:31:41.283734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 84831ed6-7ee4-42e5-9d2b-d8b59ca8b257 · outbound

This paper cites an unresolved cited work.

Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(\epsilon^{-4/7})$ Second-Order Oracle Complexity Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:31:41.272504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0fc22256-1ade-43d5-9c3c-ed2b4f4b625b · outbound

This paper cites Mitigating unwanted biases with adversarial learning.

Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(\epsilon^{-4/7})$ Second-Order Oracle Complexity Mitigating unwanted biases with adversarial learning

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:31:41.343327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 47f783a9-c6c3-459c-8bdb-4d3f78058775 · outbound

This paper cites Discussions on the Existing Ω(ϵ−2/3) Lower Bound Adil et al.

Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(\epsilon^{-4/7})$ Second-Order Oracle Complexity Discussions on the Existing Ω(ϵ−2/3) Lower Bound Adil et al

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:31:41.331545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b44b686b-23d2-4065-bbbe-6f34af07b1de · outbound

This paper cites an unresolved cited work.

Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(\epsilon^{-4/7})$ Second-Order Oracle Complexity Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:31:41.319867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a47e477d-0919-4930-b578-d37e0c8a4fe2 · outbound

This paper cites Therefore, we have that min{zTϵ, ¯zTϵ}} ≤µϵ3/3.

Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(\epsilon^{-4/7})$ Second-Order Oracle Complexity Therefore, we have that min{zTϵ, ¯zTϵ}} ≤µϵ3/3

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:31:41.308509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cf448fcd-cbe8-4458-9828-6854078ce9f5 · outbound

This paper cites an unresolved cited work.

Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(\epsilon^{-4/7})$ Second-Order Oracle Complexity Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:31:41.260954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f4752166-0a6a-4cf1-b0e9-1f9856bdba26 · outbound

This paper cites The proof is essentially the same as (Chen et al., 2025b, Theorem 4.1), except here we consider the constrained case.

Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(\epsilon^{-4/7})$ Second-Order Oracle Complexity The proof is essentially the same as (Chen et al., 2025b, Theorem 4.1), except here we consider the constrained case

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:31:41.248709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e477ff36-4bd6-46ac-84a2-bdbf4a101399 · outbound

This paper cites an unresolved cited work.

Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(\epsilon^{-4/7})$ Second-Order Oracle Complexity Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:31:41.236064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 334c4730-d2ab-4e90-8f6d-135d5449c4a4 · outbound

This paper cites The oracle complexity of simplex-based matrix games: Linear separability and nash equilibria.

Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(\epsilon^{-4/7})$ Second-Order Oracle Complexity The oracle complexity of simplex-based matrix games: Linear separability and nash equilibria

Reference 2000

Resolution: verified exact; raw_fallback, observed 2026-08-07T05:31:41.175335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 62a4a877-f9d1-4be3-8439-6c8f97c6d9cb · outbound

This paper cites An Approximation-Based Regularized Extra-Gradient Method for Monotone Variational Inequalities.

Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(\epsilon^{-4/7})$ Second-Order Oracle Complexity An Approximation-Based Regularized Extra-Gradient Method for Monotone Variational Inequalities

Reference 2019

Resolution: verified exact; local_arxiv, observed 2026-08-07T05:31:41.193658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c0019c11-5868-45ee-bd2a-41672cf5b1ea · outbound

This paper cites Explicit Second-Order Min-Max Optimization: Practical Algorithms and Complexity Analysis.

Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(\epsilon^{-4/7})$ Second-Order Oracle Complexity Explicit Second-Order Min-Max Optimization: Practical Algorithms and Complexity Analysis

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-07T05:31:40.956601Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77ac7b33-d3c4-45b2-950d-bcf681ec677b · outbound

This paper cites High-Order Reduced-Gradient Methods for Composite Variational Inequalities.

Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(\epsilon^{-4/7})$ Second-Order Oracle Complexity High-Order Reduced-Gradient Methods for Composite Variational Inequalities

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-07T05:31:40.965105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4eaf145f-d9dc-47ae-91f1-dce33bd05977 · outbound

This paper cites Universal Tensor Methods for Monotone Variational Inequalities.

Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(\epsilon^{-4/7})$ Second-Order Oracle Complexity Universal Tensor Methods for Monotone Variational Inequalities

Reference 2022

Resolution: verified exact; local_arxiv, observed 2026-08-07T05:31:41.052743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d856ae25-6d2e-45de-924e-09cd94bb4fd8 · outbound

This paper cites Faster Newton Methods for Convex and Nonconvex Optimization in Gradient Complexity.

Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(\epsilon^{-4/7})$ Second-Order Oracle Complexity Faster Newton Methods for Convex and Nonconvex Optimization in Gradient Complexity

Reference 2024

Resolution: verified exact; local_arxiv, observed 2026-08-07T05:31:41.211654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation 0a923a6a-0912-4a60-9fa1-3d6dd77be6b8 · inbound

Stochastic Optimization and Data Science cites this paper.

Stochastic Optimization and Data Science Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(\epsilon^{-4/7})$ Second-Order Oracle Complexity

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-05-19T21:12:47.217473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.