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Paper Citation Record · LEDGER

Second-order geometry and Riemannian Newton-type methods for optimization on the indefinite Stiefel manifold

As of 18 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2603.07133.

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

pith.paper-citation-record.v1
2603.07133 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T18:43:28.459875Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9ef1a58b-995e-45a3-8fff-2d80b0659768 · outbound

This paper cites Absil, R.

Second-order geometry and Riemannian Newton-type methods for optimization on the indefinite Stiefel manifold Absil, R

Reference 1

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no resolver link, observed 2026-08-02T18:43:27.111975Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:43:27.111975Z digest=sha256:f29b07ed95811afaec87ef5f1877393320dbab2b24a18a803bd76aeb6ab85348

Observation 9678bc93-ed37-42da-ac06-b5147fb97a7a · outbound

This paper cites Boumal.An Introduction to Optimization on Smooth Manifolds.

Second-order geometry and Riemannian Newton-type methods for optimization on the indefinite Stiefel manifold Boumal.An Introduction to Optimization on Smooth Manifolds

Reference 2

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no resolver link, observed 2026-08-02T18:43:27.201789Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:43:27.201789Z digest=sha256:85dbd57b9bce73daac4bb9eea552a77af4f0d79d2df84d7c47031a909bab6406

Observation 2cd501cb-f3f3-441e-ae45-bffaa313d15c · outbound

This paper cites Boumal, B.

Second-order geometry and Riemannian Newton-type methods for optimization on the indefinite Stiefel manifold Boumal, B

Reference 3

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unresolved
no resolver link, observed 2026-08-02T18:43:27.317081Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:43:27.317081Z digest=sha256:30d435fbac774f06bb582d259d815cddb31424dab8ca4c69bf53ccf16bcf2e86

Observation 17ae1a67-af84-469a-9d1c-41073b2a7eb1 · outbound

This paper cites Edelman, T.

Second-order geometry and Riemannian Newton-type methods for optimization on the indefinite Stiefel manifold Edelman, T

Reference 4

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unresolved
no resolver link, observed 2026-08-02T18:43:27.411313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:43:27.411313Z digest=sha256:1b23e9f13f6d62d52095326ce6d9234230527a90c7994647e305654ef9ec8a77

Observation fd5e8df5-93ad-4843-a7dd-020b0c2d3cd5 · outbound

This paper cites an unresolved cited work.

Second-order geometry and Riemannian Newton-type methods for optimization on the indefinite Stiefel manifold Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-02T18:43:27.482268Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:43:27.482268Z digest=sha256:70523c21e2f13949fca06e56b1672e43d93efe5f1dfe7219509697b9103f40d7

Observation 94de2ce5-3c92-4ae5-beca-4784d0f31e64 · outbound

This paper cites an unresolved cited work.

Second-order geometry and Riemannian Newton-type methods for optimization on the indefinite Stiefel manifold Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-02T18:43:27.564463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:43:27.564463Z digest=sha256:4d5cfe5c21822fa82d5b934dcedb9954a50b7b7a15a5b3019dd2e95d62e0c9c5

Observation 3463a4e0-d7dc-4898-a0cc-81e4332eed19 · outbound

This paper cites Second-order differential operators, stochastic differential equations and Brownian motions on embedded manifolds.

Second-order geometry and Riemannian Newton-type methods for optimization on the indefinite Stiefel manifold Second-order differential operators, stochastic differential equations and Brownian motions on embedded manifolds

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-02T18:43:27.670256Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:43:27.670256Z digest=sha256:bc9381a4c9a1b50beab21af3646f2d82310154b5080a10ef5e7551376014c688

Observation 51eecf50-3f6d-4898-baa9-f4a1eec99090 · outbound

This paper cites an unresolved cited work.

Second-order geometry and Riemannian Newton-type methods for optimization on the indefinite Stiefel manifold Unresolved cited work

Reference 8

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no resolver link, observed 2026-08-02T18:43:27.798467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:43:27.798467Z digest=sha256:7ea5a663a8dbda8d3ce4247d5a7f06e1231a80666e7d7fa8bc1eb279bcc112a3

Observation 289a36a5-512d-47c3-bb34-8b8d38fae2a5 · outbound

This paper cites Sato.Riemannian Optimization and Its Applications.

Second-order geometry and Riemannian Newton-type methods for optimization on the indefinite Stiefel manifold Sato.Riemannian Optimization and Its Applications

Reference 9

Resolution
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no resolver link, observed 2026-08-02T18:43:27.917129Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:43:27.917129Z digest=sha256:8b5d89634eb9bfe74e3e769e576f1d84fd017ea4b671f2f8a625fdbf2d6cbba0

Observation a20aab61-5845-4282-9ad5-4191b330c6ee · outbound

This paper cites Sato and K.

Second-order geometry and Riemannian Newton-type methods for optimization on the indefinite Stiefel manifold Sato and K

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-02T18:43:28.070993Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:43:28.070993Z digest=sha256:088dbe30315421cd60fa85f2ff3cf72089574d839bcfbc9c26a3ec1a7fe13a1f

Observation 2ef74a63-42e8-4100-8ca5-ef263bcdc882 · outbound

This paper cites an unresolved cited work.

Second-order geometry and Riemannian Newton-type methods for optimization on the indefinite Stiefel manifold Unresolved cited work

Reference 11

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unresolved
no resolver link, observed 2026-08-02T18:43:28.199956Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:43:28.199956Z digest=sha256:dedafe71817de4d06eaa2a689106371e1d13466b46990fa3227e83d4a8eb03ab

Observation b457271c-437f-467b-ac06-1e5bccd951c3 · outbound

This paper cites A generalized canonical metric for optimization on the indefinite Stiefel manifold.

Second-order geometry and Riemannian Newton-type methods for optimization on the indefinite Stiefel manifold A generalized canonical metric for optimization on the indefinite Stiefel manifold

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-02T18:43:28.284823Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:43:28.284823Z digest=sha256:9fd60d939e70841af455a5fe39a899e270ae7fa17c5ecad7561a8401aed290a4

Observation c6d358bf-7e47-481b-9de5-403e78cdcc63 · outbound

This paper cites A Riemannian gradient descent method for optimization on the indefinite Stiefel manifold.

Second-order geometry and Riemannian Newton-type methods for optimization on the indefinite Stiefel manifold A Riemannian gradient descent method for optimization on the indefinite Stiefel manifold

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-02T18:43:28.333923Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:43:28.333923Z digest=sha256:81450808e8f0a9e792818be0eb0fc8e6b7aeb8a658658df0c8d220f4d191da91

Observation 63d04e56-352e-41a1-ab85-31d5eb7f14a4 · outbound

This paper cites Yamada and H.

Second-order geometry and Riemannian Newton-type methods for optimization on the indefinite Stiefel manifold Yamada and H

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-02T18:43:28.398574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:43:28.398574Z digest=sha256:fa556122185d9263dcfb2c3336f6a65526fcdd95bb5225756dc73cdabcc26460

Observation acc5aedc-2de3-4048-b5e1-3a446f115081 · outbound

This paper cites an unresolved cited work.

Second-order geometry and Riemannian Newton-type methods for optimization on the indefinite Stiefel manifold Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-02T18:43:28.459875Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T18:43:28.459875Z digest=sha256:1fff20fd9505f9a9159aa1bd9c6f20c80d70f639f68e93a61f1ca1baebae4536

Pith citing papers

No inbound Pith citation observations are available.