Pith. sign in

Paper Citation Record · LEDGER

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

As of 17 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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.227882Z digest=sha256:cd8051044fb7da82b8e64fb802721a527fed1d5573b040470de8bfd88afc7ba6

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.236269Z digest=sha256:3ad23326361afede8793c8001e24dbda1a1997931a14829b212a0f76f1a472aa

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.242460Z digest=sha256:4436ce0630c5cfd5de4bd5b78a8d0ed937fd10cf3df2b3ec2294665c69802472

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.248032Z digest=sha256:dedbf12744caafc0d27fa3472877b70e3ad12748fe9b058ae6624465820912b1

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.256202Z digest=sha256:a2891ee28d2fed165f36676b7269def7d8919ebdf59b4530550bdc831cd1b64e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.262033Z digest=sha256:efc6e9a70e566b3746df40cdcd6d0369f502e05d1b3a6cadee0a2bfe04643b5f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.268735Z digest=sha256:37df41d024b6b40bac2d296dfccf0345967da0f5ac8fd197e1d40070fa9a6f7f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.274627Z digest=sha256:c063977b802d938a616d9039cfd1d9722ac7e185e589197d548256d9572baf1e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.288819Z digest=sha256:1d7918c2e9eafd4edcec99da25b3caea5b13692869a2fc63fb0b088bc906dcf9

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.298802Z digest=sha256:be10e8b7f1c41d0cd268a9f6bb0df9f19e53081276d6b8c556c5513cdef90f99

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.304808Z digest=sha256:c32b26b88988ba13048d9f17fc089acdc6210048010646c1141c8e1628dedec2

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.310554Z digest=sha256:634d700be3c4968d57f9d4c50e0bd58d687b9fc7247fc2e6965c1bd6fa8ffc55

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.315157Z digest=sha256:ef8913a2e80319bb44c1a78a900b0d6859fdec61954cbe139a75176e98cf7bcd

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.320546Z digest=sha256:e2420117cd901ff290664c7641bc7861357032b31b8e4bc2b7253434a530765c

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.325811Z digest=sha256:3701715b085966929dc7dd3721921587847b77a9da7c1f15d3b65366dc2f1fe3

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.332003Z digest=sha256:ace78fadc9eade3024599256ff89fd6d4ce3885b5788f9fdcc102e54e8683498

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.338873Z digest=sha256:814e518b0089f0f9292d2e0e020de041bb602b39baef4c7c0012481ba776bed9

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.344888Z digest=sha256:6281b2fd7c7f55b5f8c7bfcbb17581a6de0315e926cedc5c5ca4b1adb1cfb4a0

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.352161Z digest=sha256:22307ff991a4ad8f6b347c3dfe2ed9721a4a0f161df55df13cb72b2e007ae01f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.358770Z digest=sha256:37ce3157be499ba20744c18cf0c026162db2b9a95e85b5e560e98e48ada04335

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.365227Z digest=sha256:65302f3233c0838bc378ca7dae835373ddeff7d0bb56701ce621e90088079be5

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.370065Z digest=sha256:d3d25bdade4b32ebf710736c8d1a484e329542b3569932ceb76bb3ca1d0cc24a

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.375230Z digest=sha256:aed117648ed36613e281d37dbfe884104d15042bc9a478c6c6e861b1eb828c64

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.380277Z digest=sha256:5c5a850c32b0d846cbe39b5252b3849eb3cd0af7894b1a6db76b8d5187e37a2d

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.385860Z digest=sha256:1cfdd8821d50ad75f853aa8866b78e7876c304d930489371694d752c02d0eea0

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.390419Z digest=sha256:88b11a0631a1ec0e34d25937af8c5a38ba9626eaf46cb18854ead66c5a49c60f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T18:16:31.396982Z digest=sha256:6edd70cdb2fbaeb50e23a3d7711421c73d65f0e9b9fa943c98cd0fe9eaa1606f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:25:44.014041Z digest=sha256:05f80bac6002d6cf4bf81b82ff6398e208af963daf7beab83893dff526f9e7d0