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Paper Citation Record · LEDGER

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces

As of 19 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 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.388351Z digest=sha256:e11254baefb4c1bac70427e75e4fbcd31252672759018c4f701f4fd17f2895e8

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.397648Z digest=sha256:679d49f9dd92035c22ad0e5fcad6ce95c899af18e961c7b64a1872c995d6ddfc

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.405018Z digest=sha256:4a97a98c391606bd197f4e7bb21eb2ac601345cf3fc5012c8e22a5888cde7d19

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.420899Z digest=sha256:fb7f1e3af6ade96766f9ac1313906314c57219bd8fae9b30f6072c7ffefce2b3

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.426269Z digest=sha256:75e8764497d4497e9da501f319de93174ac91b1bce27a8da83f4a1433b2b4007

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.440817Z digest=sha256:94148b062e588bfa95d2270aa3f6ae836e3e2ca14abb03072507ff21ce405c29

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.450372Z digest=sha256:ef494e9172537b19655c8d0581b5dcf5aa6e776e1c685d04e65db84fb9d9eacb

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.460584Z digest=sha256:c22870a3864f2861c601d017a3741f3451f8b9480cf2e70bbf2f15646e81b3a5

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.468890Z digest=sha256:10170fe78b2d43d6739b52c863e165fe1ae6b75833775e5bb49288f76416f2f9

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.480578Z digest=sha256:5e6e98d989812a9d1cd09988c21ce6259ef22d6c6b1cdedcb95139c17ed34b56

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.492197Z digest=sha256:a63a91784abd8654e4f4698d99f020a6d6473e1e7a7c7b6cc6648b42b374e886

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.510853Z digest=sha256:c82d1620a120cbd2f4f8d8a8d4e774952be1435a7bfed11cffbe1e10152a65f1

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.525868Z digest=sha256:e0bdda6fed08d340a0c7df89460c447a838a67383177c9afa2b0d431943f42d1

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.536005Z digest=sha256:090e48b2b3824eee0db2ac6c647cdd7e19ce8293fbf1a0788b79c5b2f08606c9

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.542462Z digest=sha256:7c37b19d761c20c31453eb9b36414204be1bbb5c207d562d4036e86e97253b95

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.553540Z digest=sha256:b174eb2196bdf1b7514c0e74646dab54dd50eae9f21a10f28c19a21d622f5a94

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.562213Z digest=sha256:420fe4a338c94694475e9cf3b23a7152ecf8a5ed19fc9486b5274944acb2f04c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.572705Z digest=sha256:53496023ffff726c094ee9b97ddaaa34236530fc59a95f2ef99abffe78f3d924

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.577867Z digest=sha256:1015affcc61b791a3cef077141fa2a0418063961622bbbcf9fc67fdb99e4446a

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.590820Z digest=sha256:87e9e17dcee03db46585f6272bbbffb1114a2bd6983872d9f7be3b0c0b3e2fc3

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.604590Z digest=sha256:2a9bed8f8380bcb35f6748137bef910c54770c54cf5ee2dad204cb3529455f54

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.615685Z digest=sha256:ce07c22e7d1e14faefb9fac69ef665f9e2723f7e763320cf3ad92552335e2e26

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.623021Z digest=sha256:1ca079138fa5d95c3bb8023a47f2df5f10a58411754a6ef0ba17d682fc6129f2

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.629939Z digest=sha256:0e880dedfd2830c2bf0dc3eb4c14228a3844dc5a69375b33246af11b2ebc2d4b

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.638531Z digest=sha256:9801bd92f15bc591657bbcd6c0058f07fe69074667bd10480cb55bfe16256380

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.653445Z digest=sha256:a8d16439fe97f95abcdd9bf097b7891d772437966b7166871902e1bf7b82a92d

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.658326Z digest=sha256:2e605c199a6497d82211df85c6d62a577f443a2a17755556ffb8324b0993c4b0

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.666953Z digest=sha256:0d30110dff07947930d82f758d0957ff509b6ed530a331d8f4ed50b729582c57

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.678097Z digest=sha256:3dd9382d56326d3b073bb240d479e37338464c5b44b00b2e2ec7cf117d5ff209

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.684207Z digest=sha256:a9298c13c2f77eefb0eb6be831ebcdee5e311a0f9eece42c90908d711686ddaa

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T10:57:10.689718Z digest=sha256:537065a85f87ebd07d5cc50719bb66b4cde9cb164ea021ad01a70ebeafc18445

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:a2ccad8f53701bcea880eec532c8bcb9bae7912b28927dcccde333bcfe740c23