Paper Citation Record · LEDGER

Fenchel Duality Theory and A Primal-Dual Algorithm on Riemannian Manifolds

As of 23 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 1 inbound Pith citation observation for arXiv:1908.02022.

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

pith.paper-citation-record.v1
1908.02022 v4

Coverage vector

measured 5 of 5 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:02:48.062706Z

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:27:56.506440Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T15:27:56.573829Z

Reference resolution

5 of 5 outbound references displayed

verified exact3
verified fuzzy0
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 85667093-1960-4164-a37e-3f000bd221d8 · outbound

This paper cites Orientation imaging: the emergence of a new microscopy.

Fenchel Duality Theory and A Primal-Dual Algorithm on Riemannian Manifolds Orientation imaging: the emergence of a new microscopy

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-14T15:02:48.041797Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b809dd3-0747-456e-8f73-f524ed9e3a68 · outbound

This paper cites High-order total variation-based image restoration.

Fenchel Duality Theory and A Primal-Dual Algorithm on Riemannian Manifolds High-order total variation-based image restoration

Reference 2

Resolution: verified exact; doi, observed 2026-08-14T15:02:48.108778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b1b20892-cb95-4db2-9564-b7add950cae5 · outbound

This paper cites Collaborative total variation: a general framework for vectorial TV models.

Fenchel Duality Theory and A Primal-Dual Algorithm on Riemannian Manifolds Collaborative total variation: a general framework for vectorial TV models

Reference 3

Resolution: verified exact; doi, observed 2026-08-14T15:02:48.245949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation be997f4b-f15a-4e4b-82b2-bbbcff445470 · outbound

This paper cites Nonlinear total variation based noise removal algorithms.

Fenchel Duality Theory and A Primal-Dual Algorithm on Riemannian Manifolds Nonlinear total variation based noise removal algorithms

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-14T15:02:48.062706Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0dbe0ecd-eb49-4e5f-bb7f-71d7ad627c00 · outbound

This paper cites A combined rst and second order variational approach for image reconstruction.

Fenchel Duality Theory and A Primal-Dual Algorithm on Riemannian Manifolds A combined rst and second order variational approach for image reconstruction

Reference 6

Resolution: verified exact; doi, observed 2026-08-14T15:02:48.097343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

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

The Intrinsic Riemannian Proximal Gradient Method for Convex Optimization cites this paper.

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 2026-08-23T06:30:58.430688+00:00.