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Paper Citation Record · LEDGER

An new polar factor retraction on the Stiefel manifold with closed-form inverse

As of 21 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2602.19923.

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

pith.paper-citation-record.v1
2602.19923 v2

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T21:33:53.199367Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

17 of 17 outbound references displayed

  • verified exact5
  • verified fuzzy0
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fade6248-77fe-46f4-888a-d453eb1a474f · outbound

This paper cites Absil, R.

An new polar factor retraction on the Stiefel manifold with closed-form inverse Absil, R

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-02T21:33:51.706483Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T21:33:51.706483Z digest=sha256:97a890a1fa69d763a1619fb8dbe125e442aab290f3b8d54cfb343fd87560f6e3

Observation 9306362f-3b86-4e98-8584-7cc4a12392c1 · outbound

This paper cites Bendokat and R.

An new polar factor retraction on the Stiefel manifold with closed-form inverse Bendokat and R

Reference 2

Resolution
verified exact
doi, observed 2026-08-02T21:38:26.265665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-02T21:33:51.784984Z digest=sha256:3c71de53ecaf94c98927316639d5b377ccfbf51a601dcfb3de9a917d349a509a

Observation 5e8939a8-9b46-4105-b228-6ee564f9b2e2 · outbound

This paper cites Edelman, T.

An new polar factor retraction on the Stiefel manifold with closed-form inverse Edelman, T

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-02T21:33:51.868753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T21:33:51.868753Z digest=sha256:5b07cdb07d45d83f17b7c4959549a9b99220219960323d099be37ce9a37b3377

Observation 5e91c292-c914-474f-ab6f-158b12a9a288 · outbound

This paper cites an unresolved cited work.

An new polar factor retraction on the Stiefel manifold with closed-form inverse Unresolved cited work

Reference 4

Resolution
verified exact
doi, observed 2026-08-02T21:38:26.188465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-02T21:33:51.937716Z digest=sha256:6aaddaec06e340c35f1f07062c9cbbfc8a8cc8450ac59c7983e65b065dcc1647

Observation 96dd142c-62eb-43d3-b055-8dd4d53e7f03 · outbound

This paper cites Godement , Introduction to the Theory of Lie Groups , Universitext, Springer International Publishing, 2017.

An new polar factor retraction on the Stiefel manifold with closed-form inverse Godement , Introduction to the Theory of Lie Groups , Universitext, Springer International Publishing, 2017

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-02T21:33:52.037784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T21:33:52.037784Z digest=sha256:0226efdf5fb34ebc18e396d9122350cfe2d677ec4883eeb66e41f97b38761914

Observation 1eae3067-c6f9-4ef3-b786-2dd6790af9fe · outbound

This paper cites an unresolved cited work.

An new polar factor retraction on the Stiefel manifold with closed-form inverse Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-02T21:33:52.140498Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T21:33:52.140498Z digest=sha256:1c6d56c2f8ae7d7ddea95fe12d0756315d38102871b4e7833c3a79048ea70065

Observation 903735be-6cf4-4b41-baa0-950ea283bf81 · outbound

This paper cites an unresolved cited work.

An new polar factor retraction on the Stiefel manifold with closed-form inverse Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-02T21:33:52.237355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T21:33:52.237355Z digest=sha256:3c04ff842544b86ead98ad2958f71fe415dcc5e0a6bd96a0736a73fccd9cbfc3

Observation 313f34ee-e578-45f7-84e9-8cbaa473e160 · outbound

This paper cites H \"u per, I.

An new polar factor retraction on the Stiefel manifold with closed-form inverse H \"u per, I

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-02T21:33:52.316816Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T21:33:52.316816Z digest=sha256:fe2d353d90fe67d0cc42ef51cd8bce52772c1e44e382302699a5f10026e8c583

Observation bcc7a26e-54b9-4d83-b7f2-f4c3555e64df · outbound

This paper cites Maximum volume coordinates for Grassmann interpolation: Lagrange, Hermite, and errors.

An new polar factor retraction on the Stiefel manifold with closed-form inverse Maximum volume coordinates for Grassmann interpolation: Lagrange, Hermite, and errors

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-02T21:33:52.458128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T21:33:52.458128Z digest=sha256:d10e2ef295a566c0185b69933233629741360a4750123a5d8d23f31c0661d959

Observation 4dac25a3-955d-4165-ba35-5b0fc1bf608b · outbound

This paper cites Kaneko, S.

An new polar factor retraction on the Stiefel manifold with closed-form inverse Kaneko, S

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-02T21:33:52.549037Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T21:33:52.549037Z digest=sha256:f0d5ebf6ba8fb9705c8da9ae251b4d10dfa6bbe2d3c8b844c21d440689f70fe7

Observation 635955aa-9037-4424-aca3-4787b034de32 · outbound

This paper cites Mataigne, R.

An new polar factor retraction on the Stiefel manifold with closed-form inverse Mataigne, R

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-02T21:33:52.631787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T21:33:52.631787Z digest=sha256:43a0b3240291463a98f5164fad8a89361de4a18e76ce74dd09d58ce8d1a5398a

Observation 9d244437-a8c5-4a6f-8beb-311c7d9ff44c · outbound

This paper cites Pennec , Intrinsic statistics on R iemannian manifolds: Basic tools for geometric measurements , Journal of Mathematical Imaging and Vision, 25 (2006), p.

An new polar factor retraction on the Stiefel manifold with closed-form inverse Pennec , Intrinsic statistics on R iemannian manifolds: Basic tools for geometric measurements , Journal of Mathematical Imaging and Vision, 25 (2006), p

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-02T21:33:52.734002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T21:33:52.734002Z digest=sha256:550f64b899b47e811c7f5b67753737bbff324eb0f30f967db065e8b8856acf4d

Observation 5f7f5b6f-e1a8-4737-b598-ed6c761da1aa · outbound

This paper cites Sato and K.

An new polar factor retraction on the Stiefel manifold with closed-form inverse Sato and K

Reference 13

Resolution
verified exact
doi, observed 2026-08-02T21:38:26.054314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-02T21:33:52.804340Z digest=sha256:4f37646fb32db44772c40ff2d7f44fcc294dd8c3d8941f432d23538cb34563d6

Observation ed161c27-d5fa-43ef-8031-9d61bcfa3c59 · outbound

This paper cites Sutti , A single shooting method with approximate F rechet derivative for computing geodesics on the S tiefel manifold , Electron.

An new polar factor retraction on the Stiefel manifold with closed-form inverse Sutti , A single shooting method with approximate F rechet derivative for computing geodesics on the S tiefel manifold , Electron

Reference 14

Resolution
verified exact
doi, observed 2026-08-02T21:38:25.978684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-02T21:33:52.964552Z digest=sha256:676ac98648da8a0cef623cd7bffce4063fb2d289ab41263d09423d79af151013

Observation 592d971e-81a7-46bd-9ffa-06dfd654ce3b · outbound

This paper cites Wen and W.

An new polar factor retraction on the Stiefel manifold with closed-form inverse Wen and W

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-02T21:33:53.089173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T21:33:53.089173Z digest=sha256:b8ef42df9e8c60a3edcd577a9eec2254362eeae38c6337e3780f6264dc3abb6b

Observation f58adf48-6d26-4ad0-9f88-4292b7bf0fdd · outbound

This paper cites an unresolved cited work.

An new polar factor retraction on the Stiefel manifold with closed-form inverse Unresolved cited work

Reference 16

Resolution
verified exact
doi, observed 2026-08-02T21:38:25.846668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-02T21:33:53.145347Z digest=sha256:1e181a2118ac218d01db65cd0e193663a9bd4dec32a698d8de28839cbac03866

Observation 208ff8f3-c4b6-4833-b62e-9d43d8d06131 · outbound

This paper cites Zimmermann and K.

An new polar factor retraction on the Stiefel manifold with closed-form inverse Zimmermann and K

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-02T21:33:53.199367Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T21:33:53.199367Z digest=sha256:319ce3d5d4b52158bd3d6b4eeb610d5299512ea379958aed33bc0f517c4ddfe6

Pith citing papers

No inbound Pith citation observations are available.