Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Manifold constrained steepest descent for smooth and closed-set optimization
As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2601.21487.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-30T18:42:01.854481Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-03T13:48:21.420602Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation c71b0d1e-814f-4c4c-8bd7-5c74bc985cbb · inbound
Demystifying Manifold Constraints in LLM Pre-training cites this paper.
Demystifying Manifold Constraints in LLM Pre-training Manifold constrained steepest descent for smooth and closed-set optimization
Reference 8
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-08-14T01:00:30.657373Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 41188463-f20f-406a-95a9-abc2ff02217a · inbound
Intrinsic Muon: Spectral Optimization on Riemannian Matrix Manifolds cites this paper.
Intrinsic Muon: Spectral Optimization on Riemannian Matrix Manifolds Manifold constrained steepest descent for smooth and closed-set optimization
Reference 69
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-08-14T01:00:30.657373Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f93d9c63-900f-4023-9faf-b8afd5f6686b · inbound
Symmetry-Compatible Principle for Optimizer Design: Embeddings, LM Heads, SwiGLU MLPs, and MoE Routers cites this paper.
Symmetry-Compatible Principle for Optimizer Design: Embeddings, LM Heads, SwiGLU MLPs, and MoE Routers Manifold constrained steepest descent for smooth and closed-set optimization
Reference 161
- Resolution
- verified exact
- arxiv_id, observed 2026-08-14T01:00:30.657373Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 608f3033-5108-4b10-a1ac-9e81fa796625 · inbound
Symmetry-Compatible Principle for Optimizer Design: Embeddings, LM Heads, SwiGLU MLPs, and MoE Routers cites this paper.
Symmetry-Compatible Principle for Optimizer Design: Embeddings, LM Heads, SwiGLU MLPs, and MoE Routers Manifold constrained steepest descent for smooth and closed-set optimization
Reference 164
- Resolution
- verified exact
- arxiv_id, observed 2026-08-14T01:00:30.657373Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 04b40035-cf36-4ca1-a96e-e7c82a56125f · inbound
Convergence of Spectral Descent for Non-smooth Optimization cites this paper.
Convergence of Spectral Descent for Non-smooth Optimization Manifold constrained steepest descent for smooth and closed-set optimization
Reference 26
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-08-14T01:00:30.657373Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b9b15e51-f9bb-465b-a7c0-eb90cfbda53b · inbound
Learned Subspace Compression for Communication-Efficient Pipeline Parallelism cites this paper.
Learned Subspace Compression for Communication-Efficient Pipeline Parallelism Manifold constrained steepest descent for smooth and closed-set optimization
Reference 63
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-08-14T01:00:30.657373Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 6d151d6a-b835-4293-b503-5fe0ba0dd529 · inbound
Different Layers, Different Manifolds: Module-Wise Weight-Space Geometry in Transformer Optimization cites this paper.
Different Layers, Different Manifolds: Module-Wise Weight-Space Geometry in Transformer Optimization Manifold constrained steepest descent for smooth and closed-set optimization
Reference 11
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-08-14T01:00:30.657373Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.