Paper Citation Record · LEDGER

Retraction-Free Decentralized Non-convex Optimization with Orthogonal Constraints

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2405.11590.

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

pith.paper-citation-record.v1
2405.11590 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:20:14.760030Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation c6076da4-e0f9-46d7-a040-b8777967bf07 · inbound

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity cites this paper.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Retraction-Free Decentralized Non-convex Optimization with Orthogonal Constraints

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-07T15:20:14.760030Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 404c0f90-5dea-4b3d-a4fe-f72cb4f3a44d · inbound

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold cites this paper.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Retraction-Free Decentralized Non-convex Optimization with Orthogonal Constraints

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-07T11:23:00.015771Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8a9d7c1-40a8-4c5f-8346-42390f597d94 · inbound

Decentralized Optimization on Compact Submanifolds by Quantized Riemannian Gradient Tracking cites this paper.

Decentralized Optimization on Compact Submanifolds by Quantized Riemannian Gradient Tracking Retraction-Free Decentralized Non-convex Optimization with Orthogonal Constraints

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T05:44:05.242497Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6880f93-5278-4fef-aa79-4fce452e49ec · inbound

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds cites this paper.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Retraction-Free Decentralized Non-convex Optimization with Orthogonal Constraints

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T21:54:27.813724Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1254e57-f932-472d-b198-d98c5e785ef3 · inbound

Online Optimization on Hadamard Manifolds: Curvature Independent Regret Bounds on Horospherically Convex Objectives cites this paper.

Online Optimization on Hadamard Manifolds: Curvature Independent Regret Bounds on Horospherically Convex Objectives Retraction-Free Decentralized Non-convex Optimization with Orthogonal Constraints

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T17:01:57.093557Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb76a7f3-65a6-4eaa-8acc-cbfff6c52ab5 · inbound

A Retraction-Free EXTRA Method for Decentralized Optimization on the Stiefel Manifold cites this paper.

A Retraction-Free EXTRA Method for Decentralized Optimization on the Stiefel Manifold Retraction-Free Decentralized Non-convex Optimization with Orthogonal Constraints

Reference 46

Resolution: verified exact; arxiv_id, observed 2026-05-08T23:34:24.491382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9fb2715d-844e-4247-9d96-bf77e68a9f69 · inbound

A second-order method landing on the Stiefel manifold via Newton$\unicode{x2013}$Schulz iteration cites this paper.

A second-order method landing on the Stiefel manifold via Newton$\unicode{x2013}$Schulz iteration Retraction-Free Decentralized Non-convex Optimization with Orthogonal Constraints

Reference 108

Resolution: verified exact; arxiv_id, observed 2026-05-09T06:40:39.912148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 176f2881-e463-490e-a286-3260ba8bda2d · inbound

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System cites this paper.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Retraction-Free Decentralized Non-convex Optimization with Orthogonal Constraints

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-02T03:41:16.109536Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.