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Paper Citation Record · LEDGER

Trivializations for Gradient-Based Optimization on Manifolds

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1909.09501.

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

pith.paper-citation-record.v1
1909.09501 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:17:38.188775Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T15:17:43.057377Z

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 cd6132c5-46e2-4568-b1d6-c2050ea0ae7d · inbound

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces cites this paper.

Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces Trivializations for Gradient-Based Optimization on Manifolds

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:17:43.136927Z

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=arxiv_source observed=2026-08-07T15:17:38.188775Z digest=sha256:3d222e82cfe867b743ce509513eb812c7ec38ec57461d1abe98a245917438788

Observation de1cfca3-8754-4c60-a98f-96a604df3f28 · inbound

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum cites this paper.

ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum Trivializations for Gradient-Based Optimization on Manifolds

Reference 34

Resolution
unresolved
no resolver link, observed 2026-07-11T17:48:01.577896Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T17:48:01.577896Z digest=sha256:59a51a187291ed1a489d72e53ae2ea106cee75c3953ebe545d73e13fe641f978