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Paper Citation Record · LEDGER

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces

As of 7 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2506.04003.

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

pith.paper-citation-record.v1
2506.04003 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:57:10.689718Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T19:21:25.106917Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

31 of 31 outbound references displayed

  • verified exact1
  • verified fuzzy18
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f7ec7a49-79cf-4924-93ad-9f85117ab06c · outbound

This paper cites Anbouhi, W.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Anbouhi, W

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:11.629511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.388351Z digest=sha256:329e4bd321abe68311944a4a48431ef04847996554f3faaebfa125c9654860f1

Observation 4ee496d6-c34c-490d-bf59-cd9874b0a4fc · outbound

This paper cites Biasotti, B.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Biasotti, B

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:11.600746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.397648Z digest=sha256:d144ad418e63949ca2dd467335ed2177011ac9fedd08a439bd06252200508d51

Observation 2592cd3a-3711-4830-b0e0-d1231555e7e3 · outbound

This paper cites Blumberg.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Blumberg

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:11.570844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.405018Z digest=sha256:a47694ca37fd21dfb073e630423fbbf3a0073878195a504f8c9662f6cee827dd

Observation 33e73547-ed13-4990-988c-35bf8e9a3694 · outbound

This paper cites Carlsson.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Carlsson

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:11.548947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.420899Z digest=sha256:210471c0dfbb1beb16fa77063c7a9333a0dce034bb5b7e87f4f7d5bcff4477ff

Observation 23446373-f1a2-433d-a2f3-24ae5e3f4273 · outbound

This paper cites Charon and A.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Charon and A

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:11.517874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.426269Z digest=sha256:2326167778866b354112b5294cd6d8b72ff435a1b4dc01300b9aef14c48ebc06

Observation 1075f1f1-40d6-4a9a-81a8-0bd96c25d882 · outbound

This paper cites Chazal, V.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Chazal, V

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:11.498159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.440817Z digest=sha256:20d4f2d72797037d73b54b020e262fd8c41f699b1b84881d2ed1a7452c9977a1

Observation a6270b3d-f5fc-433c-bc01-0c5cbd1b353e · outbound

This paper cites Curry, H.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Curry, H

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:11.459147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.450372Z digest=sha256:0930e265f47c03e1f6d4b02ea2a735eae0893be34f912f044d34fc7b8650d194

Observation 6bf358b8-c61c-4b9e-b1ae-c8ad24bdca5f · outbound

This paper cites Curry, W.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Curry, W

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:11.422479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.460584Z digest=sha256:4d866cddc7ad33a4100f3ae50715e8e5af85ee3960bac47756bef03c1e95d36b

Observation fa239313-4c16-4341-b879-72b82cda6d1c · outbound

This paper cites an unresolved cited work.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:11.398791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.468890Z digest=sha256:45711088ee8c476a4f4d0298853216460384dc65381e1aea5368b994346539fd

Observation 5dc0f807-dc30-4015-86ac-9819c3f509e0 · outbound

This paper cites an unresolved cited work.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:11.365562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.480578Z digest=sha256:04edf890f0343ace6be4c9479664924d39c7d67961b4b808331827ca52173372

Observation 5a043824-dc14-4804-87d8-873113be5792 · outbound

This paper cites Hammond, P.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Hammond, P

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:11.331862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.492197Z digest=sha256:4b0d3a6f5d12c10894c9a87528c6bd9a3096c39b41a1ee83f1d2a3743016d726

Observation 0f39e7fc-944b-4ab9-b0c9-55e4227cc240 · outbound

This paper cites an unresolved cited work.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:11.263373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.510853Z digest=sha256:d2f66f23b62a8b56fe43483ee1d908f10a67785ff9d431d21f63055639935cf9

Observation b4784058-30a3-4503-934e-8db4a8dc4d8c · outbound

This paper cites an unresolved cited work.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:11.231705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.525868Z digest=sha256:ed80e8d4b7f0c12bed7fd6f3f02fc39b098d28b98abe4655fe1dba6474d0d6f8

Observation 1afad0ae-648f-410f-b395-ccbe7f86c986 · outbound

This paper cites an unresolved cited work.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:11.211007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.536005Z digest=sha256:6d9348d81ab3aedbe026f5907b1285fdb1655340b891ca2dd83ad9ba0307ab0d

Observation f2bca56b-ff22-431c-899d-68c61894894b · outbound

This paper cites an unresolved cited work.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:11.177231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.542462Z digest=sha256:3dfe681628980fd650f3c6dbab017ae212aefb2984143601227f4bb8b97adbef

Observation 20b258d0-48b2-4092-951c-9f86a91fb2c6 · outbound

This paper cites M´ emoli.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces M´ emoli

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:11.154419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.553540Z digest=sha256:512ebfbfab489ace7338851e49fc3273bc0bf45d46883141390be4fdc3e4e167

Observation 4c9f834e-9a91-4cbc-8f22-2c1ad6754a52 · outbound

This paper cites M´ emoli and T.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces M´ emoli and T

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:11.131996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.562213Z digest=sha256:ad6c77ea46da132f495b87c0d48de1068f4f2909ad2c99a6624a4c086b87b48a

Observation c47d098b-af37-4006-ad4c-bd5424956e1b · outbound

This paper cites Michor and D.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Michor and D

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:11.104074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.572705Z digest=sha256:36ef7d3ea1690328857b8ee592459d37310363c63db87cdbee8a986d0025a6d6

Observation 76f44f2b-fb7f-485e-8ade-a097088f7266 · outbound

This paper cites Robust Representation and Estimation of Barycenters and Modes of Probability Measures on Metric Spaces.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Robust Representation and Estimation of Barycenters and Modes of Probability Measures on Metric Spaces

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:57:10.756760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.577867Z digest=sha256:ac013f17e1d8e62e2710b006e30d6a3eadeed3747fe2f218ae53ff7df9f33b02

Observation 95b5076c-3f95-4a34-9802-3fd87ab90489 · outbound

This paper cites Morozov, K.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Morozov, K

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:11.074344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.590820Z digest=sha256:a96b0df850dbff090198dc94805aef4101248ceb58c3af8efd8d16f9d8f13f14

Observation fca27a2d-4b32-459b-b28b-41bdc7afc76e · outbound

This paper cites an unresolved cited work.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:11.053424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.604590Z digest=sha256:083c8efce7b4cb71c873b403501a8e8cbd9473ef3226dc5d84291d7d2f4d786b

Observation 7afaab6f-4b18-47e6-9e3f-806a90814de3 · outbound

This paper cites an unresolved cited work.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:11.031772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.615685Z digest=sha256:2df0d3db93117494f85c4b1105ac38ea9b92e827221fafa644f9ab4c825c3686

Observation 799f4bfd-fd11-4e60-ac94-32c33ef8b02a · outbound

This paper cites Petrakis.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Petrakis

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:11.006350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.623021Z digest=sha256:467409b22389a90647e36b0a6ebc857505a659972d9dae0d21956930d71f593a

Observation e3fee446-4e46-4a24-b563-3489fc119f25 · outbound

This paper cites Rosenberg.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Rosenberg

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:10.987784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.629939Z digest=sha256:0da7256812eafc669004a04ae8a68eefe25e8b17e587190f31fc736abda3e84c

Observation 7c41c43c-671b-499e-8dec-fa62014a984c · outbound

This paper cites an unresolved cited work.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:10.961844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.638531Z digest=sha256:9fabe4ae3baa457d1e390a3da9e3f99ceed782baaec6432566dfaf2d9e2942a5

Observation 7338d2c5-1e06-4c15-b2f1-12207752cc00 · outbound

This paper cites Rubner, C.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Rubner, C

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:10.939422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.653445Z digest=sha256:d819a49d04fd491f118ad8b5e10a701762fd3c35f42166c27e509ebfe8b91ae2

Observation 669b6d8f-bd25-48b8-bada-7d211ca5db24 · outbound

This paper cites an unresolved cited work.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:10.917837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.658326Z digest=sha256:117d15da4c159b3ddaca7c1d908670179c42e8627c4b0a37450c76fcfb5ad4c6

Observation a977745c-aa81-4fec-9ec0-dee8dd157763 · outbound

This paper cites an unresolved cited work.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:10.887848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.666953Z digest=sha256:34095fc3e12003ad2903f948dfb07e212fb159528abb6498825b288a14253fe4

Observation 303005f0-b25a-4c2d-ac06-aa1f963ffcf4 · outbound

This paper cites van der Maaten and G.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces van der Maaten and G

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:10.863011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.678097Z digest=sha256:9ad291ca381451822907943fa01f8bdf83fee9f47021da7977fdb2ab935bc32d

Observation 7e6721c5-6184-4f91-89b7-e52b8626918c · outbound

This paper cites Weed and F.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Weed and F

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:10.824879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.684207Z digest=sha256:aea5970f783fe2601b0264f7469035e9e5ca5575e74f12fc8b75d64dfc6eece4

Observation 3b7280bb-2ab8-41cf-9fcf-c380e0b0fce0 · outbound

This paper cites an unresolved cited work.

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:10.794895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:57:10.689718Z digest=sha256:b4af77ab388ff227a1b402cc50a085f5afe5b15a5249018d2a0630fcbbedfdff

Pith citing papers

Observation 15b79ec3-91cb-4cae-9212-a7583d854462 · inbound

FDRMFL: Multimodal Federated Feature Extraction Model Based on Information Maximization and Contrastive Learning cites this paper.

FDRMFL: Multimodal Federated Feature Extraction Model Based on Information Maximization and Contrastive Learning Observable Covariance and Principal Observable Analysis for Data on Metric Spaces

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-03T19:21:25.106917Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T19:21:25.106917Z digest=sha256:2c69d52d3619656067c4d4a180aa5d86e3d0403d99e6f51af8f396189b68e53e