Paper Citation Record · LEDGER

Random Field Representations of Kernel Distances

As of 8 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2505.23141.

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

pith.paper-citation-record.v1
2505.23141 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:00:24.538027Z

measured 22 of 22 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 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

22 of 22 outbound references displayed

verified exact0
verified fuzzy22
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a4dc2d89-c49f-4bd1-b56e-1e6e5abb53be · outbound

This paper cites Fractional Fields and Applications.

Random Field Representations of Kernel Distances Fractional Fields and Applications

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:29.434047Z

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.

Observation 76a9cc21-b6fc-4140-8362-37d5c986af38 · outbound

This paper cites Probability: Theory and Examples.

Random Field Representations of Kernel Distances Probability: Theory and Examples

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:29.252627Z

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.

Observation 9f20d75e-d18a-45df-b93e-6eef039dda9e · outbound

This paper cites Strictly Proper Scoring Rules, Prediction, and Estimation.

Random Field Representations of Kernel Distances Strictly Proper Scoring Rules, Prediction, and Estimation

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:29.017455Z

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.

Observation 921509a8-d4d5-46e9-a777-cd5ccbf1af99 · outbound

This paper cites A kernel method for the two-sample problem.

Random Field Representations of Kernel Distances A kernel method for the two-sample problem

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:28.805697Z

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.

Observation 8e1d1748-74bc-4694-9eba-378901ac7714 · outbound

This paper cites A Kernel Two- Sample Test.

Random Field Representations of Kernel Distances A Kernel Two- Sample Test

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:28.605402Z

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.

Observation 4cc5aacf-b334-4d80-a6eb-d6ec01691e88 · outbound

This paper cites Neural general circulation models for weather and climate.

Random Field Representations of Kernel Distances Neural general circulation models for weather and climate

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:28.402056Z

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.

Observation 367624e3-9059-42b2-b119-7d2c2b1b29db · outbound

This paper cites AIFS-CRPS: Ensemble forecasting using a model trained with a loss function based on the Continuous Ranked Probability Score.

Random Field Representations of Kernel Distances AIFS-CRPS: Ensemble forecasting using a model trained with a loss function based on the Continuous Ranked Probability Score

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:28.164669Z

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.

Observation 48b049c9-3cb7-4008-8328-482a70cf4ee3 · outbound

This paper cites Sharp constants in the hardy-Littlewood-Sobolev and related inequalities.

Random Field Representations of Kernel Distances Sharp constants in the hardy-Littlewood-Sobolev and related inequalities

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:27.942689Z

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.

Observation fb429de2-8c4c-46a1-9f48-fc522b02df81 · outbound

This paper cites Characterization of translation invariant MMD on R d and connections with Wasserstein distances.

Random Field Representations of Kernel Distances Characterization of translation invariant MMD on R d and connections with Wasserstein distances

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:27.693766Z

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.

Observation c07956de-f9f9-46e2-b995-a0291ac16a10 · outbound

This paper cites Cambridge series in statistical and proba- bilistic mathematics: Brownian motion series number 30.

Random Field Representations of Kernel Distances Cambridge series in statistical and proba- bilistic mathematics: Brownian motion series number 30

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:27.436629Z

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.

Observation 96708b3a-4eec-4fc2-877f-d7811390b24d · outbound

This paper cites Growth rate of certain Gaussian processes.

Random Field Representations of Kernel Distances Growth rate of certain Gaussian processes

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:27.187511Z

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.

Observation 98ba0fe4-20cb-4d1b-b248-7c0a9753238a · outbound

This paper cites Methods of Modern Mathematical Physics.

Random Field Representations of Kernel Distances Methods of Modern Mathematical Physics

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:26.971786Z

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.

Observation 8d94edf8-0739-47c7-9e51-5cbded353f96 · outbound

This paper cites Real and complex analysis, 3rd ed.

Random Field Representations of Kernel Distances Real and complex analysis, 3rd ed

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:26.765986Z

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.

Observation 91c11951-ea22-47c2-a267-dc7b81fa13e8 · outbound

This paper cites Fractional Brownian motion with variable Hurst parameter: Definition and properties.

Random Field Representations of Kernel Distances Fractional Brownian motion with variable Hurst parameter: Definition and properties

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:26.533583Z

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.

Observation 24d75812-fe7e-49f8-9233-87c4c4e12149 · outbound

This paper cites Fractional Brownian motion in a nutshell.

Random Field Representations of Kernel Distances Fractional Brownian motion in a nutshell

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:26.311094Z

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.

Observation 44505cb8-96e7-415b-816d-fb113addb5cd · outbound

This paper cites Hilbert space embeddings and metrics on probability mea- sures.

Random Field Representations of Kernel Distances Hilbert space embeddings and metrics on probability mea- sures

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:26.116494Z

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.

Observation bc2236ec-3aa9-4138-9a5e-c69a2506374b · outbound

This paper cites Brownian distance covariance.

Random Field Representations of Kernel Distances Brownian distance covariance

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:25.887024Z

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.

Observation 5d4c398e-84f9-4f8d-be2b-41d1e237a021 · outbound

This paper cites Energy statistics: A class of statistics based on distances.

Random Field Representations of Kernel Distances Energy statistics: A class of statistics based on distances

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:25.672976Z

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.

Observation 9d561779-2ad3-4b77-b319-3bb82446c73c · outbound

This paper cites The topological support of Gaussian measure in Banach space.

Random Field Representations of Kernel Distances The topological support of Gaussian measure in Banach space

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:25.454132Z

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.

Observation 025e3404-5c2e-499f-bef7-7d27f3371f06 · outbound

This paper cites Reproducing kernel Hilbert spaces of Gaussian priors.

Random Field Representations of Kernel Distances Reproducing kernel Hilbert spaces of Gaussian priors

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:25.228973Z

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.

Observation 4411a49e-5d2a-474f-b5d5-ed4fdbbc9c12 · outbound

This paper cites Controlling Wasserstein Distances by Kernel Norms with Application to Compressive Statistical Learning.

Random Field Representations of Kernel Distances Controlling Wasserstein Distances by Kernel Norms with Application to Compressive Statistical Learning

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:24.961566Z

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.

Observation 3bf6c6c3-bfeb-4730-b149-65667d994f6b · outbound

This paper cites Lecture notes on the Gaussian Free Field.

Random Field Representations of Kernel Distances Lecture notes on the Gaussian Free Field

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:24.758097Z

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.

Pith citing papers

No inbound Pith citation observations are available.