Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-18T15:29:15.351129Z
Paper Citation Record · LEDGER
A generalized canonical metric for optimization on the indefinite Stiefel manifold
As of 7 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 1 inbound Pith citation observation for arXiv:2509.16113.
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 2026-08-06T06:34:29.942622+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-02T18:43:28.284823Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
36 of 36 outbound references displayed
- verified exact2
- verified fuzzy10
- unresolved23
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b2d9de83-b329-4aa9-b637-7675de4b2726 · outbound
This paper cites Princeton University Press, Princeton, NJ (2008).
A generalized canonical metric for optimization on the indefinite Stiefel manifold Princeton University Press, Princeton, NJ (2008)
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:31:34.384630Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 45b8e2f1-4f4a-4d3e-b04a-4cb533234345 · outbound
This paper cites an unresolved cited work.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-05-18T15:31:34.347799Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 10d75bd2-87dd-4b4d-a9f9-ad3329e018e5 · outbound
This paper cites an unresolved cited work.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-05-18T15:31:34.449689Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 8ab92d0b-bd47-4f29-ac71-b0a1f075bee4 · outbound
This paper cites an unresolved cited work.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-05-18T15:31:34.381310Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation f3df2214-1a38-4355-b571-f1bf105156f2 · outbound
This paper cites The real symplectic Stiefel and Grassmann manifolds: metrics, geodesics and applications.
A generalized canonical metric for optimization on the indefinite Stiefel manifold The real symplectic Stiefel and Grassmann manifolds: metrics, geodesics and applications
Reference 5
- Resolution
- verified exact
- arxiv_id, observed 2026-05-18T15:31:33.494806Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation aeb92970-b84f-4da2-ab84-f626629ac6d3 · outbound
This paper cites Cambridge University Press (2023).
A generalized canonical metric for optimization on the indefinite Stiefel manifold Cambridge University Press (2023)
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:31:34.357583Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 005896e9-aac2-4533-ac96-4572e9aaa54e · outbound
This paper cites an unresolved cited work.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-05-18T15:31:34.360713Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 143740e0-40e8-473d-b286-bd995b370595 · outbound
This paper cites Springer Berlin, Heidelberg (1977).
A generalized canonical metric for optimization on the indefinite Stiefel manifold Springer Berlin, Heidelberg (1977)
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:31:34.388831Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 9ee25bca-3585-4eda-965b-1b96c0137670 · outbound
This paper cites an unresolved cited work.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-05-18T15:31:34.351062Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 30c3f3d6-8de5-4840-861a-7ac265f3fbc5 · outbound
This paper cites an unresolved cited work.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-05-18T15:31:34.353994Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 379248d6-3972-4c2b-998f-658a4fb59eab · outbound
This paper cites an unresolved cited work.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-05-18T15:31:34.363907Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation c91e18ce-2363-4f40-a352-07050899f6d5 · outbound
This paper cites an unresolved cited work.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-05-18T15:31:34.367613Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 0c6fd352-6261-42c2-acbc-e0d1459dd82b · outbound
This paper cites Symplectic Stiefel manifold: tractable metrics, second-order geometry and Newton's methods.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Symplectic Stiefel manifold: tractable metrics, second-order geometry and Newton's methods
Reference 13
- Resolution
- verified exact
- arxiv_id, observed 2026-05-18T15:31:33.489191Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 1ad46d20-d40f-4ce0-976c-74d8cb03a6fe · outbound
This paper cites an unresolved cited work.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-05-18T15:31:34.377888Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 978111d8-8968-469d-8abe-04be8959456f · outbound
This paper cites Neural Comput.,16(12), 2639–2664 (2004).
A generalized canonical metric for optimization on the indefinite Stiefel manifold Neural Comput.,16(12), 2639–2664 (2004)
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:31:34.370992Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation de5bcde2-7e9f-4b17-891b-e647692b0070 · outbound
This paper cites an unresolved cited work.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-05-18T15:31:34.374178Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation a2a9d947-3b6d-43fb-913e-84b63c9d657d · outbound
This paper cites Cambridge University Press, Cambridge, UK (1991).
A generalized canonical metric for optimization on the indefinite Stiefel manifold Cambridge University Press, Cambridge, UK (1991)
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:31:34.433490Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 44c9c6cb-7f40-47b4-ab5c-0e8ffff6093a · outbound
This paper cites an unresolved cited work.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-05-18T15:31:34.423844Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 41267efb-ef8c-466f-b1d2-1c465171833a · outbound
This paper cites an unresolved cited work.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-05-18T15:31:34.426824Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 149b7f8e-8ffe-415f-a7c4-5cedb39560e8 · outbound
This paper cites an unresolved cited work.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-05-18T15:31:34.430250Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 3bbbda8e-c437-48fa-93dc-e74e091cf848 · outbound
This paper cites an unresolved cited work.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-05-18T15:31:34.436564Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 20151cf3-ffc0-49ee-98d6-5e910a99a31e · outbound
This paper cites Linear Algebra Appl.,216, 139–158 (1995).
A generalized canonical metric for optimization on the indefinite Stiefel manifold Linear Algebra Appl.,216, 139–158 (1995)
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:31:34.439895Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 4e0abb03-67cf-4ea8-b3b4-99bc44a24943 · outbound
This paper cites an unresolved cited work.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-05-18T15:31:34.443322Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 10108d35-54c7-4ad2-8faf-fde68fd977b3 · outbound
This paper cites an unresolved cited work.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-05-18T15:31:34.407853Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation e82a6703-09df-41b3-80ec-5d3662021ab9 · outbound
This paper cites Neurocomputing,67, 106–135 (2005).
A generalized canonical metric for optimization on the indefinite Stiefel manifold Neurocomputing,67, 106–135 (2005)
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:31:34.410995Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 7933efb4-091d-4aba-8828-ce56bdf9e994 · outbound
This paper cites an unresolved cited work.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-05-18T15:31:34.417512Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 622ab939-ed7f-49be-8b43-32d2356bab2b · outbound
This paper cites SpringerBriefs Electr.
A generalized canonical metric for optimization on the indefinite Stiefel manifold SpringerBriefs Electr
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:31:34.399002Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation a6939704-cef3-4a87-bff7-bd7570848121 · outbound
This paper cites an unresolved cited work.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-05-18T15:31:34.402199Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 2e8bedd5-4ba5-4789-bceb-8a78d71c4e9f · outbound
This paper cites an unresolved cited work.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-05-18T15:31:34.405239Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation a4f6b004-58ab-44e7-8119-e42a1cbd515c · outbound
This paper cites Fields Inst.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Fields Inst
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:31:34.420578Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 38c7b63c-5b2a-4900-95c6-e977ecadbf6d · outbound
This paper cites A Riemannian gradient descent method for optimization on the indefinite Stiefel manifold.
A generalized canonical metric for optimization on the indefinite Stiefel manifold A Riemannian gradient descent method for optimization on the indefinite Stiefel manifold
Reference 31
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-05-18T15:31:33.191186Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 298490d0-1b43-4f97-bdf6-4dac721b6316 · outbound
This paper cites Mathematics and Its Applications.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Mathematics and Its Applications
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:31:34.414326Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 8484a2b0-d611-4bb5-a928-886dfad5149f · outbound
This paper cites an unresolved cited work.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-05-18T15:31:34.453129Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 6a8b4bd0-7f59-405c-a85d-4da1c062db6a · outbound
This paper cites an unresolved cited work.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-05-18T15:31:34.395594Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 6e8b9527-6db5-4184-bf1f-16362ede1331 · outbound
This paper cites an unresolved cited work.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-05-18T15:31:34.392241Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 52a17164-d370-473d-928e-6ec8804821e4 · outbound
This paper cites an unresolved cited work.
A generalized canonical metric for optimization on the indefinite Stiefel manifold Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-05-18T15:31:34.446301Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Pith citing papers
Observation b457271c-437f-467b-ac06-1e5bccd951c3 · inbound
Second-order geometry and Riemannian Newton-type methods for optimization on the indefinite Stiefel manifold cites this paper.
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.