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Paper Citation Record · LEDGER

Primal-Dual Methods for Nonsmooth Nonconvex Optimization with Orthogonality Constraints

As of 4 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 1 inbound Pith citation observation for arXiv:2604.04130.

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

pith.paper-citation-record.v1
2604.04130 v1

Coverage vector

measured 4 of 4 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-13T17:11:19.370970Z

measured 5 of 5 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T05:33:10.424336Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

4 of 4 outbound references displayed

  • verified exact1
  • verified fuzzy2
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b18f8831-1a00-465b-9041-3fea63fe89ce · outbound

This paper cites an unresolved cited work.

Primal-Dual Methods for Nonsmooth Nonconvex Optimization with Orthogonality Constraints Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-14T05:18:07.622301Z

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.

source=pdf_text observed=2026-05-13T17:11:19.370970Z digest=sha256:aa3ba541cc5fffec9b0c1117c08d95e26ccee5719bb1dc6b289f333a4e1eac77

Observation dc265214-e20b-4786-91d2-35c1e4f4a5c5 · outbound

This paper cites MADMM: A generic algo- rithm for non-smooth optimization on manifolds.

Primal-Dual Methods for Nonsmooth Nonconvex Optimization with Orthogonality Constraints MADMM: A generic algo- rithm for non-smooth optimization on manifolds

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T05:18:07.625483Z

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.

source=pdf_text observed=2026-05-13T17:11:19.370970Z digest=sha256:3e287a98577faf06ed7349f7f9a669b682f02de5f0da8468a3ae5319b2063e5e

Observation 1f795ae1-84f0-4fe6-92b3-9927f5dd1342 · outbound

This paper cites Keshavan, Andrea Montanari, and Sewoong Oh.

Primal-Dual Methods for Nonsmooth Nonconvex Optimization with Orthogonality Constraints Keshavan, Andrea Montanari, and Sewoong Oh

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T05:18:07.629225Z

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.

source=pdf_text observed=2026-05-13T17:11:19.370970Z digest=sha256:017242b6dacb72c206d60d568926a0be5cfcda204abf3d92a7170c6adacf43f4

Observation 9157c474-d827-424e-ac0e-15b892abe985 · outbound

This paper cites Rotation Group Synchronization via Quotient Manifold.

Primal-Dual Methods for Nonsmooth Nonconvex Optimization with Orthogonality Constraints Rotation Group Synchronization via Quotient Manifold

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-13T17:13:01.163324Z

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.

source=pdf_text observed=2026-05-13T17:11:19.370970Z digest=sha256:37abdf140c5f508fb3d2ff134a8cbc56bdd4a685cd4a9c0ef751859aebb1f0a0

Pith citing papers

Observation c9eb29c3-d82f-4719-9903-7e1c4c8bc250 · inbound

Nonconvex Composite Functional Constraints via First-Order Augmented Lagrangian Methods under Local Regularity cites this paper.

Nonconvex Composite Functional Constraints via First-Order Augmented Lagrangian Methods under Local Regularity Primal-Dual Methods for Nonsmooth Nonconvex Optimization with Orthogonality Constraints

Reference 37

Resolution
unresolved
no resolver link, observed 2026-07-13T05:33:10.424336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:33:10.424336Z digest=sha256:9d2019cf2645232010fbda53aa2a9010da33fcd35d311a3c03c9080e045d6faa