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Paper Citation Record · LEDGER

Riemannian Principal Component Analysis

As of 9 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2506.00226.

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

pith.paper-citation-record.v1
2506.00226 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:15:19.834137Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

10 of 10 outbound references displayed

  • verified exact1
  • verified fuzzy3
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bb5acd38-ad4c-4531-a033-ed53dd0618a0 · outbound

This paper cites an unresolved cited work.

Riemannian Principal Component Analysis Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:15:21.041219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:15:19.176645Z digest=sha256:c6e00235432f9b381e05bac39e3ec12b54168995c98fcfc808805f1d938c6c7b

Observation 0418095f-db49-4fd2-b9ee-38bf25ae6bf3 · outbound

This paper cites T., Lu, C., Pizer, S.

Riemannian Principal Component Analysis T., Lu, C., Pizer, S

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T12:15:19.274035Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:15:19.274035Z digest=sha256:54bf852b8e3bc182923b4c3f3b40721886540bb699a03c78f6a5e66310f0a4c9

Observation 72ed7731-f096-4138-8c85-83d808d66b56 · outbound

This paper cites Lapan, Irene E.

Riemannian Principal Component Analysis Lapan, Irene E

Reference 3

Resolution
verified exact
doi, observed 2026-08-07T12:15:20.841559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:15:19.327596Z digest=sha256:60f704915ac45196bc92514458765742a8d3492b54a0b05e4a5c5ace3231523a

Observation f38c089f-92bc-4699-ac6a-a08e7f40b1ea · outbound

This paper cites van der, and Hinton, G.

Riemannian Principal Component Analysis van der, and Hinton, G

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:15:20.714236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:15:19.494508Z digest=sha256:9ca7877a752a9d58d437ad2991d26be23d56f4679dbfe108870233648cc923ce

Observation 5c466b4c-918e-498e-87b8-bfdb41c5c09a · outbound

This paper cites UMAP: Uniform Manifold Approximation and Projection for Dimension Reduction.

Riemannian Principal Component Analysis UMAP: Uniform Manifold Approximation and Projection for Dimension Reduction

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-07T12:15:19.562963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:15:19.562963Z digest=sha256:a9408f82089719b49c0e8fc5786be9e68e99320688e84129232bf05528ac253c

Observation 658d23b0-ad34-49d0-a00b-cf21d1c40a0a · outbound

This paper cites an unresolved cited work.

Riemannian Principal Component Analysis Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:15:20.592756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:15:19.635949Z digest=sha256:19c3e8c777a82b7f92b5388af2b24fce256f881fb3e993d20f74228ab5cb6f84

Observation 3cbc6ec8-ad27-4b10-96fa-49a9fbd48e52 · outbound

This paper cites Sommer S.

Riemannian Principal Component Analysis Sommer S

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:15:20.448995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:15:19.678049Z digest=sha256:8e4f48c00c643ee8beb7f63adafa7fafed7fbdee3526312dce72bd4001f2eec0

Observation d19daa8f-cddf-4f00-b299-9952a672a089 · outbound

This paper cites an unresolved cited work.

Riemannian Principal Component Analysis Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:15:20.355875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:15:19.731847Z digest=sha256:7063ce3c737cab8f7ce5113d84f01439bfd7525a371549e3c85dc1ed5ec08764

Observation 9f441313-2803-4c68-b034-cb7dcde93a40 · outbound

This paper cites (2025).riemannian stats: Tools for Statistical Analysis of Riemannian Data(v1.0) [Python package].

Riemannian Principal Component Analysis (2025).riemannian stats: Tools for Statistical Analysis of Riemannian Data(v1.0) [Python package]

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:15:20.265855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:15:19.762462Z digest=sha256:d17823a8f94b21d0d89d331a792c0163f20a2a67fda9827af2e723788fbd34c9

Observation 099f72de-9c50-431f-bf76-e14bd9c8f057 · outbound

This paper cites S., & Harter, A.

Riemannian Principal Component Analysis S., & Harter, A

Reference 10

Resolution
metadata mismatch
raw_fallback, observed 2026-08-07T12:15:20.065991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:15:19.834137Z digest=sha256:9af908706b9a3e2b956081860c4beecee1af911fa2c7574d82fc259d2167f2ab

Pith citing papers

No inbound Pith citation observations are available.