Paper Citation Record · LEDGER

A Unified Primal-Dual Recipe for Accelerating Three-Operator Splitting Methods

As of 4 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2605.26985.

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

pith.paper-citation-record.v1
2605.26985 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T15:41:04.763657Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

9 of 9 outbound references displayed

verified exact3
verified fuzzy0
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 826ca89d-6943-4c7d-9610-9350449d7743 · outbound

This paper cites Allen-Zhu and L.

A Unified Primal-Dual Recipe for Accelerating Three-Operator Splitting Methods Allen-Zhu and L

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-29T15:41:04.763657Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3742215-ebfb-4d66-a150-e5441d32c212 · outbound

This paper cites Ben-Tal and A.

A Unified Primal-Dual Recipe for Accelerating Three-Operator Splitting Methods Ben-Tal and A

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-29T15:41:04.763657Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48e25f5f-4bb6-434d-87b9-67763a6a7afc · outbound

This paper cites Relative Lipschitzness in Extragradient Methods and a Direct Recipe for Acceleration.

A Unified Primal-Dual Recipe for Accelerating Three-Operator Splitting Methods Relative Lipschitzness in Extragradient Methods and a Direct Recipe for Acceleration

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-06-29T15:43:32.534739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation c102286c-2e34-4827-a217-3694ac5fbe14 · outbound

This paper cites A Nesterov-Accelerated Primal-Dual Splitting Algorithm for Convex Nonsmooth Optimization.

A Unified Primal-Dual Recipe for Accelerating Three-Operator Splitting Methods A Nesterov-Accelerated Primal-Dual Splitting Algorithm for Convex Nonsmooth Optimization

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-06-29T15:43:32.528592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation b4d7e7a6-e9b5-4671-b3cf-7d7504eebfa2 · outbound

This paper cites Driggs, M.

A Unified Primal-Dual Recipe for Accelerating Three-Operator Splitting Methods Driggs, M

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-29T15:41:04.763657Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24525635-a5fb-4691-9bbe-7c5f24b73b1f · outbound

This paper cites Online Learning: A Modern Introduction Using Convex Optimization.

A Unified Primal-Dual Recipe for Accelerating Three-Operator Splitting Methods Online Learning: A Modern Introduction Using Convex Optimization

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-06-29T15:43:32.531845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 5588e549-5fc2-46f0-9200-8943c5b4236e · outbound

This paper cites Magic Identity.

A Unified Primal-Dual Recipe for Accelerating Three-Operator Splitting Methods Magic Identity

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-29T15:41:04.763657Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73312a3c-43d9-4f22-870b-2dad1c25b2ef · outbound

This paper cites Then, for any x, y∈R n and any p∈∂ϕ(x), q∈∂ϕ(y) it holds ⟨p−q, x−y⟩ ≥µ∥x−y∥.

A Unified Primal-Dual Recipe for Accelerating Three-Operator Splitting Methods Then, for any x, y∈R n and any p∈∂ϕ(x), q∈∂ϕ(y) it holds ⟨p−q, x−y⟩ ≥µ∥x−y∥

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-29T15:41:04.763657Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e742dbe-9bf1-462e-b5b0-3b7a5bd73934 · outbound

This paper cites Then, for any x, y∈R n it holds µ 2 ∥x−y∥ 2 ≤D ϕ(x;y)≤ 1 2µ ∥∇ϕ(x)− ∇ϕ(y)∥.

A Unified Primal-Dual Recipe for Accelerating Three-Operator Splitting Methods Then, for any x, y∈R n it holds µ 2 ∥x−y∥ 2 ≤D ϕ(x;y)≤ 1 2µ ∥∇ϕ(x)− ∇ϕ(y)∥

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-29T15:41:04.763657Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.