Paper Citation Record · LEDGER

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem

As of 17 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:1908.09370.

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

pith.paper-citation-record.v1
1908.09370 v2

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:18:53.937460Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

38 of 38 outbound references displayed

verified exact4
verified fuzzy11
unresolved12
parse uncertain0
malformed identifier7
metadata mismatch4

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 639bcf59-cc6e-42bc-885e-b7f637c3857b · outbound

This paper cites Borkowska, Probabilistic Load Flow, IEEE Trans.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Borkowska, Probabilistic Load Flow, IEEE Trans

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-14T11:18:53.150801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf626391-1e96-4387-90e9-c17f7caff60b · outbound

This paper cites an unresolved cited work.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Unresolved cited work

Reference 2

Resolution: metadata mismatch; raw_fallback, observed 2026-08-14T11:18:56.086529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b298e52f-e8da-4860-852f-0d7637800392 · outbound

This paper cites an unresolved cited work.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Unresolved cited work

Reference 3

Resolution: metadata mismatch; raw_fallback, observed 2026-08-14T11:18:55.884335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2829c047-ad18-40d0-8dce-cfc55e5c4836 · outbound

This paper cites an unresolved cited work.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Unresolved cited work

Reference 4

Resolution: metadata mismatch; raw_fallback, observed 2026-08-14T11:18:55.708647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4c310221-929d-401e-a22e-b6c3540b3256 · outbound

This paper cites an unresolved cited work.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-14T11:18:53.265549Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bce68077-42b0-4125-9882-bb94df742862 · outbound

This paper cites Zhang, S.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Zhang, S

Reference 6

Resolution: verified exact; doi, observed 2026-08-14T11:18:54.232177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8d29f4b9-54f6-4cd7-ba1a-d0f12ce66761 · outbound

This paper cites an unresolved cited work.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T11:18:53.339209Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5151f0c2-685d-4d4e-970f-655123a0d56a · outbound

This paper cites an unresolved cited work.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:18:57.830035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3f7ab12c-d6cd-4ac3-a48c-4a705fe42069 · outbound

This paper cites an unresolved cited work.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:18:57.773292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a1440d23-0b81-46cc-9356-226304d61a50 · outbound

This paper cites an unresolved cited work.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Unresolved cited work

Reference 10

Resolution: malformed identifier; doi_truncated, observed 2026-08-14T11:18:55.151757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation df7d01d6-3418-4961-9331-227a8362674a · outbound

This paper cites an unresolved cited work.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Unresolved cited work

Reference 11

Resolution: metadata mismatch; raw_fallback, observed 2026-08-14T11:18:55.037903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation df51ddf5-8efe-4c34-8b43-c1e8802e2c4c · outbound

This paper cites Rosenblueth, Two-point estimates in probabilities, Appl.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Rosenblueth, Two-point estimates in probabilities, Appl

Reference 12

Resolution: verified exact; doi, observed 2026-08-14T11:18:54.192690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8c8c78b6-78b6-4e38-a2b7-efa43e549cf9 · outbound

This paper cites an unresolved cited work.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Unresolved cited work

Reference 13

Resolution: verified exact; doi, observed 2026-08-14T11:18:54.150426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 92fb31b7-f665-4278-8423-4b9416e76c80 · outbound

This paper cites an unresolved cited work.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Unresolved cited work

Reference 14

Resolution: malformed identifier; no resolver link, observed 2026-08-14T11:18:53.450737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb9c0e0a-7252-422f-af89-8c8df192b165 · outbound

This paper cites Hong, An eﬃcient point estimate method for probabilistic anal- ysis, Reliab.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Hong, An eﬃcient point estimate method for probabilistic anal- ysis, Reliab

Reference 15

Resolution: malformed identifier; raw_fallback, observed 2026-08-14T11:18:57.717250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 92b25e67-d29a-418f-8b10-34be61cb6fce · outbound

This paper cites A "missing" family of classical orthogonal polynomials.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem A "missing" family of classical orthogonal polynomials

Reference 16

Resolution: malformed identifier; no resolver link, observed 2026-08-14T11:18:53.489658Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 108aa0e8-3e39-4683-9097-e259280c1f57 · outbound

This paper cites Xiu, Numerical Methods for Stochastic Computations : A Spectral Method Approach, Princeton University Press, 2010.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Xiu, Numerical Methods for Stochastic Computations : A Spectral Method Approach, Princeton University Press, 2010

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:57.633823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 94ec0536-a151-4eba-834b-9b99726d8f06 · outbound

This paper cites an unresolved cited work.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:18:57.595396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d745257a-b1ef-4245-9561-f43ee636398a · outbound

This paper cites an unresolved cited work.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-14T11:18:53.545529Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1257c926-e587-43c3-aa48-0c45f91a8e86 · outbound

This paper cites an unresolved cited work.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-14T11:18:53.554716Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ed02c7e-4a45-4a8f-afc8-9c925bb31009 · outbound

This paper cites an unresolved cited work.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:18:57.552971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2f7ccaa8-3670-4f86-9220-b993d5e7fee9 · outbound

This paper cites Karhunen, On linear methods in probability and statistics, Ann.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Karhunen, On linear methods in probability and statistics, Ann

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:57.496143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ed89e29e-5510-45ad-a2ea-6e887fb5ee3d · outbound

This paper cites Lo` eve, Probability Theory II, volume 46 of Graduate Texts in Mathematics, Springer New York, New York, NY, 1978.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Lo` eve, Probability Theory II, volume 46 of Graduate Texts in Mathematics, Springer New York, New York, NY, 1978

Reference 23

Resolution: malformed identifier; raw_fallback, observed 2026-08-14T11:18:57.446705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ce4d3e48-ddc3-4103-9987-94227f8d48d2 · outbound

This paper cites A Multilevel Stochastic Collocation Method for Partial Differential Equations with Random Input Data.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem A Multilevel Stochastic Collocation Method for Partial Differential Equations with Random Input Data

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:18:54.418609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 86c5464e-dab8-4f27-82d3-6e110e0b5c22 · outbound

This paper cites Griebel, T.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Griebel, T

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:57.405527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f297b660-9a68-47df-a0fa-60629ef8221e · outbound

This paper cites Gerstner, M.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Gerstner, M

Reference 26

Resolution: malformed identifier; raw_fallback, observed 2026-08-14T11:18:57.354375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f7489453-5377-47a9-bb4a-f6757223b5f8 · outbound

This paper cites Combining Coeﬃcient.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Combining Coeﬃcient

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:57.294898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2777d3ec-0029-4ee6-b8cd-a6bcb2da22a1 · outbound

This paper cites an unresolved cited work.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:18:57.166328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8389c80e-a526-45b6-8ebc-81037b6ce26a · outbound

This paper cites Novak, K.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Novak, K

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:57.097233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 75702e55-c415-4958-b73e-aa338756b0e7 · outbound

This paper cites Gerstner, M.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Gerstner, M

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:57.034511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f1bd4bfc-ee31-460d-a8ac-41d60188f056 · outbound

This paper cites Fej´ er, Mechanische quadraturen mit positiven cotesschen zahlen, Mathematische Zeitschrift 37 (1933) 287–309.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Fej´ er, Mechanische quadraturen mit positiven cotesschen zahlen, Mathematische Zeitschrift 37 (1933) 287–309

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:56.977552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6a4889a0-bce4-4e8e-b5db-251ca45a7d46 · outbound

This paper cites Burkardt, John Burkhardt’s Home Page, 2019.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Burkardt, John Burkhardt’s Home Page, 2019

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:56.901762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 139e34b5-6037-49ea-b896-003aa36abd85 · outbound

This paper cites an unresolved cited work.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:18:56.856196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a2296a52-c6ee-4ae1-a2c4-6cbea139237c · outbound

This paper cites Kullback, R.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Kullback, R

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:56.770549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a60e7e84-d6b3-4299-81d6-aedaf32b1695 · outbound

This paper cites an unresolved cited work.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Unresolved cited work

Reference 35

Resolution: malformed identifier; raw_fallback, observed 2026-08-14T11:18:56.720099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 75f5796d-8d85-4d98-96f2-73ae044ae348 · outbound

This paper cites Christie, Power Systems Test Case Archive, 2000.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Christie, Power Systems Test Case Archive, 2000

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:56.661690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a9e7e212-f738-4a4e-999b-95b4ee5d8cdc · outbound

This paper cites Barrows, A.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Barrows, A

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-14T11:18:53.916112Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 02f4a45d-2ee4-41e0-8390-194217f44481 · outbound

This paper cites Ghaddar, J.

A Coupled Karhunen--Lo\`eve and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem Ghaddar, J

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:56.595618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.