Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-11T11:50:26.030339Z
Paper Citation Record · LEDGER
Finding Simple Proofs for First-Order Optimization
As of 9 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2607.08753.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
49 of 49 outbound references displayed
- verified exact30
- verified fuzzy9
- unresolved4
- parse uncertain0
- malformed identifier3
- metadata mismatch3
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ab11bda3-f2a6-487f-a7e8-80ae816e1cf0 · outbound
This paper cites Journal of Optimization Theory and Applications202, 475–496 (2024).
Finding Simple Proofs for First-Order Optimization Journal of Optimization Theory and Applications202, 475–496 (2024)
Reference 1
- Resolution
- metadata mismatch
- doi, observed 2026-07-10T02:06:41.812700Z
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 b509e0c3-87af-4fe8-929b-5bb9ae1c93d5 · outbound
This paper cites an unresolved cited work.
Finding Simple Proofs for First-Order Optimization Unresolved cited work
Reference 2
- Resolution
- verified exact
- doi, observed 2026-07-10T02:06:41.782617Z
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 31175a15-b8ca-4483-b97f-b1bbbdb87edf · outbound
This paper cites Amaldi and V.
Finding Simple Proofs for First-Order Optimization Amaldi and V
Reference 3
- Resolution
- verified exact
- doi, observed 2026-07-10T02:06:41.822865Z
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 a6146c41-26a0-4dde-97ae-999d5a479977 · outbound
This paper cites Principled Analyses and Design of First-Order Methods with Inexact Proximal Operators.
Finding Simple Proofs for First-Order Optimization Principled Analyses and Design of First-Order Methods with Inexact Proximal Operators
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-07-10T02:06:42.039989Z
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 053e5452-4828-4e96-af45-7e6eac800ba0 · outbound
This paper cites Berg Thomsen, A.
Finding Simple Proofs for First-Order Optimization Berg Thomsen, A
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T02:06:42.316698Z
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 46079d0b-b7b8-4420-9aa4-159cb71482a4 · outbound
This paper cites The Annals of Statistics44(2), 813–852 (2016).
Finding Simple Proofs for First-Order Optimization The Annals of Statistics44(2), 813–852 (2016)
Reference 6
- Resolution
- verified exact
- doi, observed 2026-07-10T02:06:41.832732Z
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 6ef23ebb-e974-49ea-b88b-18eabe8def80 · outbound
This paper cites Weighted Norm Inequalities for Paraproducts and Bilinear Pseudodifferential Operators with Mild Regularity.
Finding Simple Proofs for First-Order Optimization Weighted Norm Inequalities for Paraproducts and Bilinear Pseudodifferential Operators with Mild Regularity
Reference 7
- Resolution
- malformed identifier
- doi_truncated, observed 2026-07-10T02:06:41.832930Z
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 fae2dfa4-42a4-4258-9da7-7a54cb1e4d16 · outbound
This paper cites de Klerk, F.
Finding Simple Proofs for First-Order Optimization de Klerk, F
Reference 8
- Resolution
- verified exact
- doi, observed 2026-07-10T02:06:41.831021Z
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 c94e3914-140a-4ee0-857b-1a0d5bcb61fd · outbound
This paper cites Dragomir, A.
Finding Simple Proofs for First-Order Optimization Dragomir, A
Reference 9
- Resolution
- verified exact
- doi, observed 2026-07-10T02:06:41.838377Z
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 fe38f407-c322-4acf-a8e2-2341fdfa5090 · outbound
This paper cites W¨ achter and L.
Finding Simple Proofs for First-Order Optimization W¨ achter and L
Reference 11
- Resolution
- malformed identifier
- doi_truncated, observed 2026-07-10T02:06:41.791680Z
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 dcc2ccb4-1c41-497c-858d-9b8810454444 · outbound
This paper cites Fredholm theory of families of discrete dynamical systems and its applications to bifurcation theory.
Finding Simple Proofs for First-Order Optimization Fredholm theory of families of discrete dynamical systems and its applications to bifurcation theory
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-07-10T02:06:41.837428Z
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 d2f514cd-609f-4eba-986c-066f5cb5d372 · outbound
This paper cites Gorbunov, A.
Finding Simple Proofs for First-Order Optimization Gorbunov, A
Reference 13
- Resolution
- verified exact
- doi, observed 2026-07-10T02:06:41.819268Z
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 c0c71ddc-90ae-4893-8921-4fbe8990c97d · outbound
This paper cites Optimal first-order methods for convex functions with a quadratic upper bound.
Finding Simple Proofs for First-Order Optimization Optimal first-order methods for convex functions with a quadratic upper bound
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-07-10T02:06:42.034614Z
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 756f6b21-038f-4d9c-b5f4-55292e0fddaf · outbound
This paper cites Goujaud, A.
Finding Simple Proofs for First-Order Optimization Goujaud, A
Reference 15
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- verified fuzzy
- raw_fallback, observed 2026-07-10T02:06:42.314974Z
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 cc0183c5-5425-4ca5-9208-88be75fe56b4 · outbound
This paper cites Schwan, Y.
Finding Simple Proofs for First-Order Optimization Schwan, Y
Reference 16
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- metadata mismatch
- arxiv_id, observed 2026-07-10T02:06:41.827740Z
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 e8b9bec5-68c9-4e55-bdcd-489ab0798847 · outbound
This paper cites Goujaud, C.
Finding Simple Proofs for First-Order Optimization Goujaud, C
Reference 17
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- verified exact
- doi, observed 2026-07-10T02:06:41.821074Z
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 3feda423-1a3d-40eb-a0ac-77706419ff27 · outbound
This paper cites Optimization pp.
Finding Simple Proofs for First-Order Optimization Optimization pp
Reference 18
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-10T02:06:41.830750Z
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 7c05e4bb-9bc8-481e-887b-2f4d6aed6a94 · outbound
This paper cites an unresolved cited work.
Finding Simple Proofs for First-Order Optimization Unresolved cited work
Reference 19
- Resolution
- verified exact
- doi, observed 2026-07-10T02:06:41.836639Z
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 d91f40e0-5397-4016-b4f9-c435823df6b5 · outbound
This paper cites Acceleratedproximalpointmethodformaximallymonotoneoperators.Mathematical Programming, 190(1–2):57–87.
Finding Simple Proofs for First-Order Optimization Acceleratedproximalpointmethodformaximallymonotoneoperators.Mathematical Programming, 190(1–2):57–87
Reference 20
- Resolution
- verified exact
- doi, observed 2026-07-10T02:06:41.809830Z
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 4e43e154-614f-4efc-b6e4-06cbc0bd2323 · outbound
This paper cites Kim and J.
Finding Simple Proofs for First-Order Optimization Kim and J
Reference 21
- Resolution
- verified exact
- doi, observed 2026-07-10T02:06:41.845250Z
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 4c784de4-55ce-4453-89e4-62918e2c25c0 · outbound
This paper cites Kim and J.
Finding Simple Proofs for First-Order Optimization Kim and J
Reference 22
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- verified exact
- doi, observed 2026-07-10T02:06:41.789728Z
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 b6feba9e-7df0-4549-9613-90410f5d976e · outbound
This paper cites Kim and J.
Finding Simple Proofs for First-Order Optimization Kim and J
Reference 23
- Resolution
- verified exact
- doi, observed 2026-07-10T02:06:41.810792Z
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 928e7869-f3c4-4741-bea3-c490c9279c55 · outbound
This paper cites an unresolved cited work.
Finding Simple Proofs for First-Order Optimization Unresolved cited work
Reference 24
- Resolution
- verified exact
- doi, observed 2026-07-10T02:06:41.839080Z
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 281c64fa-4125-4b19-ac7d-50c4c0239fd8 · outbound
This paper cites Naldi, M.
Reference 25
- Resolution
- verified exact
- arxiv_id, observed 2026-07-10T02:06:41.841671Z
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 283c2767-9a4f-49ee-a2bc-fda43927e7e8 · outbound
This paper cites Sparse approximate solutions to linear systems.
Finding Simple Proofs for First-Order Optimization Sparse approximate solutions to linear systems
Reference 26
- Resolution
- verified exact
- doi, observed 2026-07-10T02:06:41.827235Z
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 b1f89d6a-b8c2-451f-bf32-1819ef7adcd7 · outbound
This paper cites Park and E.
Finding Simple Proofs for First-Order Optimization Park and E
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T02:06:42.305431Z
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 f77a7e42-acbe-460b-ad29-6d6b7c10666a · outbound
This paper cites Rotaru.Exact Performance Analysis of Fundamental First-Order Optimization Methods.
Finding Simple Proofs for First-Order Optimization Rotaru.Exact Performance Analysis of Fundamental First-Order Optimization Methods
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T02:06:42.303732Z
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 38fed5b7-b6bb-480f-827a-ed6a7687fa20 · outbound
This paper cites Rotaru, F.
Finding Simple Proofs for First-Order Optimization Rotaru, F
Reference 29
- Resolution
- verified exact
- arxiv_id, observed 2026-07-10T02:06:42.031556Z
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 848807cd-4c1d-4d84-9931-4cf774cb327c · outbound
This paper cites an unresolved cited work.
Finding Simple Proofs for First-Order Optimization Unresolved cited work
Reference 30
- Resolution
- verified exact
- doi, observed 2026-07-10T02:06:41.834599Z
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 68fb58e6-01a0-4d5a-9cd6-2433ad8c2222 · outbound
This paper cites Shugart and J.
Finding Simple Proofs for First-Order Optimization Shugart and J
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T02:06:42.307266Z
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 eca24368-c5d7-448c-991e-f112047e67aa · outbound
This paper cites Negative Stepsizes Make Gradient-Descent-Ascent Converge.
Finding Simple Proofs for First-Order Optimization Negative Stepsizes Make Gradient-Descent-Ascent Converge
Reference 32
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- verified exact
- local_arxiv, observed 2026-07-10T02:06:42.037588Z
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 0c90e525-7eb0-48b3-a152-4eae951d7f13 · outbound
This paper cites Taylor.Convex interpolation and performance estimation of first-order methods for convex optimization.
Finding Simple Proofs for First-Order Optimization Taylor.Convex interpolation and performance estimation of first-order methods for convex optimization
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T02:06:42.303574Z
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 7b85d478-6067-4d07-9662-4b4fdc3bf244 · outbound
This paper cites Taylor and F.
Finding Simple Proofs for First-Order Optimization Taylor and F
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T02:06:42.295363Z
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 d427e644-ea3a-4539-98e1-e1300ace6ea3 · outbound
This paper cites an unresolved cited work.
Finding Simple Proofs for First-Order Optimization Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-07-10T02:06:42.293414Z
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 7bfcd489-4314-40dd-84e8-95e152c79777 · outbound
This paper cites Taylor and Y.
Finding Simple Proofs for First-Order Optimization Taylor and Y
Reference 36
- Resolution
- verified exact
- doi, observed 2026-07-10T02:06:41.803578Z
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 0fa7818a-e235-46df-9e56-820285c79d03 · outbound
This paper cites an unresolved cited work.
Finding Simple Proofs for First-Order Optimization Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-07-10T02:06:42.297457Z
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 2f746810-0163-4338-a33e-9dcd82f6a0f1 · outbound
This paper cites an unresolved cited work.
Finding Simple Proofs for First-Order Optimization Unresolved cited work
Reference 38
- Resolution
- verified exact
- doi, observed 2026-07-10T02:06:41.824722Z
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 6874ccc7-66eb-4e04-8170-2e347d022625 · outbound
This paper cites In: 2017 IEEE 56th Annual Conference on Decision and Control (CDC), pp.
Finding Simple Proofs for First-Order Optimization In: 2017 IEEE 56th Annual Conference on Decision and Control (CDC), pp
Reference 39
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- verified exact
- arxiv_id, observed 2026-07-10T02:06:41.843325Z
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 4f4f5e55-ad61-49af-b2ea-e16039065cee · outbound
This paper cites an unresolved cited work.
Finding Simple Proofs for First-Order Optimization Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-07-10T02:06:42.301711Z
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 aa6831fe-f6ba-47f0-9e9f-9a30a1f4e5d3 · outbound
This paper cites Taylor and Julien M.
Finding Simple Proofs for First-Order Optimization Taylor and Julien M
Reference 41
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- verified exact
- doi, observed 2026-07-10T02:06:41.840368Z
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 7bf35118-915c-48d6-a563-c75e81314043 · outbound
This paper cites an unresolved cited work.
Finding Simple Proofs for First-Order Optimization Unresolved cited work
Reference 42
- Resolution
- verified exact
- doi, observed 2026-07-10T02:06:41.797218Z
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 e32ef1aa-4b19-4204-ab41-c0907ce62700 · outbound
This paper cites Cross-Validatory Choice and Assessment of Statistical Pre- dictions.
Finding Simple Proofs for First-Order Optimization Cross-Validatory Choice and Assessment of Statistical Pre- dictions
Reference 43
- Resolution
- malformed identifier
- doi_truncated, observed 2026-07-10T02:06:41.811702Z
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 21bb82af-59ef-41d1-a773-d43f00764d03 · outbound
This paper cites Upadhyaya, S.
Finding Simple Proofs for First-Order Optimization Upadhyaya, S
Reference 44
- Resolution
- verified exact
- doi, observed 2026-07-10T02:06:41.801633Z
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 7a5d01f3-1c9c-46d5-8f81-fba7b143185a · outbound
This paper cites Upadhyaya, S.
Finding Simple Proofs for First-Order Optimization Upadhyaya, S
Reference 45
- Resolution
- verified exact
- arxiv_id, observed 2026-07-10T02:06:42.043964Z
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 58b73b54-e19f-4665-8c90-fd110e1ee47b · outbound
This paper cites An optimal first-order method for smooth and strongly convex composite optimization and its stationary limit.
Finding Simple Proofs for First-Order Optimization An optimal first-order method for smooth and strongly convex composite optimization and its stationary limit
Reference 46
- Resolution
- verified exact
- local_arxiv, observed 2026-07-10T02:06:42.043357Z
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 d0ae7801-2b8a-42c9-8c80-b1af78efcdb0 · outbound
This paper cites Uschmajew and B.
Finding Simple Proofs for First-Order Optimization Uschmajew and B
Reference 47
- Resolution
- verified exact
- doi, observed 2026-07-10T02:06:41.808011Z
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 638922d5-9c9f-4cde-8d5a-722bfd75dcd4 · outbound
This paper cites an unresolved cited work.
Finding Simple Proofs for First-Order Optimization Unresolved cited work
Reference 48
- Resolution
- unresolved
- raw_fallback, observed 2026-07-10T02:06:42.309109Z
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 340e7553-8e6d-46ad-976e-14db3b53cf4c · outbound
This paper cites 1 0 0 # ,bx 1 =.
Finding Simple Proofs for First-Order Optimization 1 0 0 # ,bx 1 =
Reference 49
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T02:06:42.310910Z
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 d9c49721-6d56-443a-b8f8-bb8acd5cdcc9 · outbound
This paper cites Finally, convexity gives F(x N)−F ⋆ ⩽⟨g N , xN −x ⋆⟩, and Young’s inequality in theB/B−1 pair yields 2AN(F(x N)−F ⋆)⩽∥x N −x ⋆∥2 B +A 2 N ∥gN ∥2 B−1.
Finding Simple Proofs for First-Order Optimization Finally, convexity gives F(x N)−F ⋆ ⩽⟨g N , xN −x ⋆⟩, and Young’s inequality in theB/B−1 pair yields 2AN(F(x N)−F ⋆)⩽∥x N −x ⋆∥2 B +A 2 N ∥gN ∥2 B−1
Reference 50
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T02:06:42.313191Z
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
No inbound Pith citation observations are available.