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Paper Citation Record · LEDGER

Retraction-Free Decentralized Non-convex Optimization with Orthogonal Constraints

As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 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 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T23:43:01.072548Z

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 b4638033-cc90-4a42-a62c-bcca9c049ba7 · inbound

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization cites this paper.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Retraction-Free Decentralized Non-convex Optimization with Orthogonal Constraints

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-11T23:43:01.072548Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:43:01.072548Z digest=sha256:b4008f90a724a9180866b9db26166f58c366cbc3f6bf24659734c5959196c8a2

Observation 762cd26d-824f-470d-8534-d9af1c0a88a7 · inbound

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints cites this paper.

Local Linear Convergence of Infeasible Optimization with Orthogonal Constraints Retraction-Free Decentralized Non-convex Optimization with Orthogonal Constraints

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-11T20:33:42.846773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:33:42.846773Z digest=sha256:2899f80ccfeca91e07b8e46148f6b0f0b80c1943d290e983517f8d433900df6e

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.

source=pdf_text observed=2026-08-07T15:20:14.760030Z digest=sha256:593a49701173037cd71cf226aa1e679468417afacb85ee9e9142828442c1adb9

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.

source=arxiv_source observed=2026-08-07T11:23:00.015771Z digest=sha256:564ade453f78c1b1fa7c4013e726f29b43ed4e8f338319f01f08ecd20e1dfe3d

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.

source=pdf_text observed=2026-08-07T05:44:05.242497Z digest=sha256:85f228db1d5a874fa5df22aaa18781fa67e500c077434cb5f74f350a14e01f94

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.

source=pdf_text observed=2026-08-04T21:54:27.813724Z digest=sha256:e0b9066639092fd5005d829d70f3effc9993c147197fb1b073544157fa1a3090

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.

source=pdf_text observed=2026-08-04T17:01:57.093557Z digest=sha256:31bbe79c6bad8d27dad12a444845a6b9dcc33cca6d6e413d087613d1819704e5

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-08T05:52:40.242207Z digest=sha256:ce8b7e776f11137ee329886e6e039f6eab5529cae4579af1da2f9921704c2fcf

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-05-08T18:15:36.016471Z digest=sha256:1081559bb51d11ee0c04a791a8ad02e6bcd4a7271c403b62b3b223df33612b80

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.

source=pdf_text observed=2026-08-02T03:41:16.109536Z digest=sha256:74b043dc3a4ca782b2033cdf7bbc3323300f2fda719cc8c7519f8f24e00c8dd4