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Paper Citation Record · LEDGER

The Intrinsic Riemannian Proximal Gradient Method for Convex Optimization

As of 10 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2507.16055.

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

pith.paper-citation-record.v1
2507.16055 v2

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:27:56.519671Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

8 of 8 outbound references displayed

  • verified exact2
  • verified fuzzy1
  • unresolved3
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a8b8fa9a-d11e-4e40-abbb-ad171c3956ca · outbound

This paper cites Manifolds.Jl: An Exten- sible Julia Framework for Data Analysis on Manifolds.

The Intrinsic Riemannian Proximal Gradient Method for Convex Optimization Manifolds.Jl: An Exten- sible Julia Framework for Data Analysis on Manifolds

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T15:27:56.417762Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:27:56.417762Z digest=sha256:5654b8cae3a8003d3da9c2aad1626d10eb64cc679bb29e4d27e92726a7feabfa

Observation 6510d359-ab6a-4fae-8cc3-9d742ee58806 · outbound

This paper cites A fast iterative shrinkage-thresholding algorithm for linear inverse problems.

The Intrinsic Riemannian Proximal Gradient Method for Convex Optimization A fast iterative shrinkage-thresholding algorithm for linear inverse problems

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-06T15:27:56.465660Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:27:56.465660Z digest=sha256:d02c5ccb65be0f495077b9c76448b7a400155834f8179f2c2251f33bccd260ec

Observation a0e20ffa-46c4-41d8-89b7-e83c59a2974d · outbound

This paper cites First-order Methods for Geodesically Convex Optimization.

The Intrinsic Riemannian Proximal Gradient Method for Convex Optimization First-order Methods for Geodesically Convex Optimization

Reference 49

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:27:56.550202Z

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.

source=pdf_text observed=2026-08-06T15:27:56.519671Z digest=sha256:ab2eb276b09b008e654a1fa4d8912fcd9fcb3e6f86e3280024dd48e2643454f9

Observation c7ace041-67aa-4add-b6bd-e79293533bd0 · outbound

This paper cites Convergence and Trade-Offs in Riemannian Gradient Descent and Riemannian Proximal Point.

The Intrinsic Riemannian Proximal Gradient Method for Convex Optimization Convergence and Trade-Offs in Riemannian Gradient Descent and Riemannian Proximal Point

Reference 195

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:27:57.483287Z

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.

source=pdf_text observed=2026-08-06T15:27:56.511724Z digest=sha256:254dbb47e4a734f95f4d742a7ee4dca0e95dcd6faef32949d78734e8474cd409

Observation d671f047-dc6f-4d09-9f15-03f578fe452f · outbound

This paper cites Implicit Riemannian Optimism with Applications to Min-Max Problems.

The Intrinsic Riemannian Proximal Gradient Method for Convex Optimization Implicit Riemannian Optimism with Applications to Min-Max Problems

Reference 235

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T15:27:56.559139Z

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.

source=pdf_text observed=2026-08-06T15:27:56.514463Z digest=sha256:bdb3020c45b31ff37fdc0bdc4ce2ee68f5f6726153044730daa67c575ccb033f

Observation 298cb763-a318-4579-bad7-ba5d3cdf2a1b · outbound

This paper cites On some basic results related to affine functions on Riemannian manifolds.

The Intrinsic Riemannian Proximal Gradient Method for Convex Optimization On some basic results related to affine functions on Riemannian manifolds

Reference 297

Resolution
unresolved
no resolver link, observed 2026-08-06T15:27:56.517586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:27:56.517586Z digest=sha256:cbbff33edc67c32c4e7c657336b41f8fed4dd527e48c0c58fd0fcc2478f1ed62

Observation c42da6ef-b41a-42f8-ad86-a8998a5a6aa6 · outbound

This paper cites An accelerated first-order method for non-convex optimization on manifolds.

The Intrinsic Riemannian Proximal Gradient Method for Convex Optimization An accelerated first-order method for non-convex optimization on manifolds

Reference 319

Resolution
malformed identifier
local_arxiv, observed 2026-08-06T15:27:56.567486Z

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.

source=pdf_text observed=2026-08-06T15:27:56.509075Z digest=sha256:91b17f33e8106e9fb7e7f9035554662b2bc76a44b88342306df1a8568327dfb5

Observation 1f923d20-8de5-4ddd-be6d-4150e9608502 · outbound

This paper cites Fenchel Duality Theory and A Primal-Dual Algorithm on Riemannian Manifolds.

The Intrinsic Riemannian Proximal Gradient Method for Convex Optimization Fenchel Duality Theory and A Primal-Dual Algorithm on Riemannian Manifolds

Reference 3866

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:27:56.576805Z

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.

source=pdf_text observed=2026-08-06T15:27:56.506440Z digest=sha256:4b070ada48c599710a59e76cb9f7955b5176cfc3a567c6c9c0d2693325c3dba0

Pith citing papers

No inbound Pith citation observations are available.