Pith. sign in

Paper Citation Record · LEDGER

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds

As of 19 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2501.11555.

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

pith.paper-citation-record.v1
2501.11555 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T18:16:31.396982Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:25:44.014041Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-16T11:25:44.272273Z

Reference resolution

28 of 28 outbound references displayed

  • verified exact1
  • verified fuzzy22
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2a75e35d-d166-4ef4-9e90-a78ef1eb3231 · outbound

This paper cites Tuzel, F.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Tuzel, F

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:16:32.069962Z

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.

source=pdf_text observed=2026-08-10T18:16:31.227882Z digest=sha256:feb82db7d6265ce765ace6739417f561a65da6c5e4b696ae7570a7f8eeab3ddc

Observation b3ae054f-b082-4d9d-a4f5-2eacc775879f · outbound

This paper cites Barachant, S.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Barachant, S

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:16:32.055165Z

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.

source=pdf_text observed=2026-08-10T18:16:31.236269Z digest=sha256:caf813ce9f1e63689a2fd2d4688b45e02ab3ef0a7712235c6af26f678317da0c

Observation 5721b17d-1ad2-4f45-94aa-363b68ae815b · outbound

This paper cites Arthur and S.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Arthur and S

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:16:32.019617Z

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.

source=pdf_text observed=2026-08-10T18:16:31.242460Z digest=sha256:106ab6d6f3012cfa46fabf893f0b2dd90f89edd92215db480b40bd7fc63af236

Observation 54272260-9a96-45cd-b358-97073ca73d14 · outbound

This paper cites Ledoit and M.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Ledoit and M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:16:31.997976Z

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.

source=pdf_text observed=2026-08-10T18:16:31.248032Z digest=sha256:e40e4262d33d8a79338d96277f3f744825be491a07ab9cd2a1beb4bae1bb8f86

Observation 7a704901-f70f-4394-bae7-71bf1a8d35f9 · outbound

This paper cites Raninen, D.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Raninen, D

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:16:31.973450Z

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.

source=pdf_text observed=2026-08-10T18:16:31.256202Z digest=sha256:79d6238461824d8ccdd18984853a9fc696852b9e23e08cf6496f4ce70d1ce6a2

Observation acb5b1e2-a89e-4753-92f0-f9168eb297a5 · outbound

This paper cites Santurkar, D.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Santurkar, D

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:16:31.951669Z

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.

source=pdf_text observed=2026-08-10T18:16:31.262033Z digest=sha256:e2fbd3ad18090db45095c64115f766f73e5b217f0929e11963c2508333f09edb

Observation a3f2900b-9e14-4d8a-b749-7e84250488cd · outbound

This paper cites Bouchard, A.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Bouchard, A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:16:31.935582Z

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.

source=pdf_text observed=2026-08-10T18:16:31.268735Z digest=sha256:93669a2713ba41a69988ee496fc093acbac4eb8c6e0218ec8f7d36b905c44677

Observation 451e2ce7-e5dd-456b-8900-915555706f79 · outbound

This paper cites Edelman, T.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Edelman, T

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:16:31.912540Z

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.

source=pdf_text observed=2026-08-10T18:16:31.274627Z digest=sha256:0304124116986333a8a3acfd62f33534001c7221d793fdbef5705295547a93fb

Observation bd37a499-0cac-4efa-84ed-20c848c9ef0f · outbound

This paper cites Absil, R.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Absil, R

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-10T18:16:31.279993Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T18:16:31.279993Z digest=sha256:7deb1f90cf789a5207e833449794776e22b59cffc7fe5f33cf09120c0ce0bf7d

Observation 1c5849aa-215b-47f6-95f2-089e4656d116 · outbound

This paper cites an unresolved cited work.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:16:31.872093Z

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.

source=pdf_text observed=2026-08-10T18:16:31.288819Z digest=sha256:055a00fdbec03847912f45618e77bc609473471b05162dba306d8efd7114700f

Observation 86344247-6eb4-4083-b387-1e8b25801d56 · outbound

This paper cites Absil, R.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Absil, R

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:16:31.850891Z

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.

source=pdf_text observed=2026-08-10T18:16:31.298802Z digest=sha256:7f26b59b2dd38d2ce70008d16393021a91c86bf8731cf6a3db3f25f3a4d9c24d

Observation abe5ee26-c494-4979-bfef-d9f471e7c0cd · outbound

This paper cites Batzies, K.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Batzies, K

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:16:31.809839Z

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.

source=pdf_text observed=2026-08-10T18:16:31.304808Z digest=sha256:0f9fd01cc62213d87c44bf51bcf586a5ed56a3170b88e2a73a75208a42566299

Observation 57b4d9a8-dc00-497e-89c7-0c4b3e813ff9 · outbound

This paper cites Bendokat, R.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Bendokat, R

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:16:31.789934Z

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.

source=pdf_text observed=2026-08-10T18:16:31.310554Z digest=sha256:109f03e9e457bef2949041bcedd6191445752ed49748f4890e9dedbe3cc59e68

Observation b695d521-a5a3-41f7-a435-55bf865498de · outbound

This paper cites Collas, F.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Collas, F

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:16:31.770814Z

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.

source=pdf_text observed=2026-08-10T18:16:31.315157Z digest=sha256:f1720c5868169026b4a8f08077c718c5c4485aee84b0861ab6ceb737315d18f2

Observation 9f16e210-5edc-4905-820f-32daab667b43 · outbound

This paper cites Huang, J.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Huang, J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:16:31.746313Z

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.

source=pdf_text observed=2026-08-10T18:16:31.320546Z digest=sha256:ae3e08a6f4764ab724500a7b56c486c6373e9112d015d2826615146259745dc4

Observation eec0415c-fcde-4a1c-954f-da3c5c66c975 · outbound

This paper cites an unresolved cited work.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:16:31.713506Z

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.

source=pdf_text observed=2026-08-10T18:16:31.325811Z digest=sha256:e7ac73f04eeca2731dcce252ca0c7728aa81d5c3c39854ea5ea584e9f245ac58

Observation 89b46881-05c6-4018-abfc-fb5498e5692d · outbound

This paper cites Kaneko, S.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Kaneko, S

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:16:31.688349Z

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.

source=pdf_text observed=2026-08-10T18:16:31.332003Z digest=sha256:5204116abec82e42a3627a4276b0ce8c3c924004bc86d787df62bcec2e7d2164

Observation 4948bc6d-5f6f-48bb-9a90-8b39b0b5a873 · outbound

This paper cites Fiori, T.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Fiori, T

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:16:31.655723Z

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.

source=pdf_text observed=2026-08-10T18:16:31.338873Z digest=sha256:fe26f409bcfede1802af58ff227f2d7ea7ff83b681d75deaa4e253ea9d80f996

Observation 554cc748-5279-4402-ad5d-06159c88f28d · outbound

This paper cites Absil and J.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Absil and J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:16:31.634849Z

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.

source=pdf_text observed=2026-08-10T18:16:31.344888Z digest=sha256:0fddc5d17702d593908d6d0e66b7c9635b28ef79c63516a916cb88457050bfff

Observation 2c9e0ba4-b47f-422d-bb3b-0b0aa90d94b0 · outbound

This paper cites an unresolved cited work.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:16:31.615795Z

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.

source=pdf_text observed=2026-08-10T18:16:31.352161Z digest=sha256:10fa02f1dc2670c02e981691dad6a8a30209c7084ffdf253d2491a4bd75535fe

Observation fd347838-7714-4dd2-af5f-666abe300be9 · outbound

This paper cites Afsari, R.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Afsari, R

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:16:31.600240Z

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.

source=pdf_text observed=2026-08-10T18:16:31.358770Z digest=sha256:650f7d7ee8c179979fa0e30d414ed24de585d86de2b3e283bfa15f46d31e2e79

Observation a6a69eec-4083-4e95-9b44-7b7f2087ecda · outbound

This paper cites an unresolved cited work.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:16:31.584061Z

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.

source=pdf_text observed=2026-08-10T18:16:31.365227Z digest=sha256:16723cb1a7276be85aa6909ebc3ae8689f4dd1f738fac05afbae45b92788aae7

Observation 59cb9229-6c3e-4ab2-9593-ae1e4005cfb0 · outbound

This paper cites Zimmermann and K.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Zimmermann and K

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:16:31.561707Z

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.

source=pdf_text observed=2026-08-10T18:16:31.370065Z digest=sha256:03f63ab33000a3ad16dcfbc36a8de50bcf0d94ca04dfee743d6cd1acadb3548e

Observation 82632408-dc91-478e-b244-9c6f8c3898bc · outbound

This paper cites Zimmermann.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Zimmermann

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:16:31.537973Z

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.

source=pdf_text observed=2026-08-10T18:16:31.375230Z digest=sha256:0464ab31c7ed9364a7a2ed857702888f1de7a335b173c5f08cc84f49e78ee3ac

Observation 9f2883d8-e3af-4c85-b41d-787f14023620 · outbound

This paper cites An efficient algorithm for the Riemannian logarithm on the Stiefel manifold for a family of Riemannian metrics.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds An efficient algorithm for the Riemannian logarithm on the Stiefel manifold for a family of Riemannian metrics

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-08-10T18:16:31.458141Z

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.

source=pdf_text observed=2026-08-10T18:16:31.380277Z digest=sha256:164f652e927f9345e2e229152d5720269a7457184eccd1686b66af139b0600ea

Observation 120fadad-3c2d-4f74-b848-fc4171a4c3a2 · outbound

This paper cites Bonnabel, A.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Bonnabel, A

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:16:31.515586Z

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.

source=pdf_text observed=2026-08-10T18:16:31.385860Z digest=sha256:92ab15e97f7b0df3ad2d3942ea9bcd0f98c7542b05eef135845568992a074d5e

Observation 8941abf8-9105-4853-9972-42772d8f3f00 · outbound

This paper cites Bouchard, A.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Bouchard, A

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:16:31.500922Z

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.

source=pdf_text observed=2026-08-10T18:16:31.390419Z digest=sha256:6e382b385b8c6de69e9124f7e7b02b0423692b89133d289e5e73f17c08e80605

Observation d929351b-829b-4afd-8472-2574d903e7b9 · outbound

This paper cites Hence, ∇f (V k) =0, and V k is a critical point.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Hence, ∇f (V k) =0, and V k is a critical point

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:16:31.484508Z

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.

source=pdf_text observed=2026-08-10T18:16:31.396982Z digest=sha256:2b82413064ac928afb2e8200092107e708cc4368f86e211246dc734ba14d64a7

Pith citing papers

Observation 0e3e5a16-f195-47bf-ba96-92e29489bf55 · inbound

On the approximation of the Riemannian barycenter cites this paper.

On the approximation of the Riemannian barycenter Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-16T11:25:44.276503Z

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.

source=pdf_text observed=2026-08-16T11:25:44.014041Z digest=sha256:efdd05db6601647655688c9b5224e040d7d5d917edbb0bbb6da610e5a4652608