Paper Citation Record · LEDGER

Newtonian potentials of Legendre polynomials on rectangles have displacement structure

As of 7 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2506.03003.

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

pith.paper-citation-record.v1
2506.03003 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:27:33.166598Z

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 fuzzy17
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d51d5306-33f3-44e0-9345-1743c96703c9 · outbound

This paper cites af Klinteberg and A.-K.

Newtonian potentials of Legendre polynomials on rectangles have displacement structure af Klinteberg and A.-K

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:36.910284Z

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 b62c25c1-c5f1-4fc0-b401-22351d6f10a8 · outbound

This paper cites an unresolved cited work.

Newtonian potentials of Legendre polynomials on rectangles have displacement structure Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:27:36.765365Z

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 6301002e-b5b4-48f9-abbf-48fe930f5aba · outbound

This paper cites Atkinson, The numerical evaluation of particular solutions for Poisson ’s equation , IMA J.

Newtonian potentials of Legendre polynomials on rectangles have displacement structure Atkinson, The numerical evaluation of particular solutions for Poisson ’s equation , IMA J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:36.601091Z

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 d9ecd29a-3df1-4769-9b53-e42011ce819d · outbound

This paper cites The Akhiezer iteration and inverse-free solvers for Sylvester matrix equations.

Newtonian potentials of Legendre polynomials on rectangles have displacement structure The Akhiezer iteration and inverse-free solvers for Sylvester matrix equations

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T11:27:31.457459Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46b95d01-f25a-4eb5-b1fe-c12e2921cf68 · outbound

This paper cites an unresolved cited work.

Newtonian potentials of Legendre polynomials on rectangles have displacement structure Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:27:36.423927Z

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 c3fa4dcf-e521-4668-97ae-d8f6702ca7a0 · outbound

This paper cites Beckermann and A.

Newtonian potentials of Legendre polynomials on rectangles have displacement structure Beckermann and A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:36.254136Z

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 8423e43f-bd50-4cb1-a8b7-484dc589b2a9 · outbound

This paper cites Beckermann and A.

Newtonian potentials of Legendre polynomials on rectangles have displacement structure Beckermann and A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:36.104175Z

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 08478277-65b3-4fbd-9b2b-47221d92923e · outbound

This paper cites https://dlmf.nist.gov/, Release 1.2.4 of 2025- 03-15, https://dlmf.nist.gov/.

Newtonian potentials of Legendre polynomials on rectangles have displacement structure https://dlmf.nist.gov/, Release 1.2.4 of 2025- 03-15, https://dlmf.nist.gov/

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:35.925895Z

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 45de28c2-30cb-48dc-843b-c0bb2f1c9c19 · outbound

This paper cites Fortunato and A.

Newtonian potentials of Legendre polynomials on rectangles have displacement structure Fortunato and A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:35.761386Z

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 888b16d6-b07a-4346-848f-2e0d4a385d9d · outbound

This paper cites Gautschi and J.

Newtonian potentials of Legendre polynomials on rectangles have displacement structure Gautschi and J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:35.600142Z

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 ce550c25-ef04-4792-b7a7-12c815852568 · outbound

This paper cites Greengard and J.-Y.

Newtonian potentials of Legendre polynomials on rectangles have displacement structure Greengard and J.-Y

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:35.430121Z

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 98d2ea2c-7a6f-4a98-9dd5-88b526371e79 · outbound

This paper cites Greengard, M.

Newtonian potentials of Legendre polynomials on rectangles have displacement structure Greengard, M

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:35.235732Z

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 f5c19373-e4c6-4612-a6ed-4180cb92884c · outbound

This paper cites Gutleb, J.

Newtonian potentials of Legendre polynomials on rectangles have displacement structure Gutleb, J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:35.050530Z

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 1fb3c2af-01f3-4933-864b-949c6ae3641a · outbound

This paper cites an unresolved cited work.

Newtonian potentials of Legendre polynomials on rectangles have displacement structure Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:27:34.895572Z

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 c6fd1b7d-235c-448b-a366-01e20cd5a5e7 · outbound

This paper cites Heinig and K.

Newtonian potentials of Legendre polynomials on rectangles have displacement structure Heinig and K

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:34.707278Z

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 a11c6edf-0b87-461c-9dda-173b025eb465 · outbound

This paper cites Joldes, J.-M.

Newtonian potentials of Legendre polynomials on rectangles have displacement structure Joldes, J.-M

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:34.520433Z

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 891911e7-4581-458c-a13b-8a16d5f10d3b · outbound

This paper cites Olver, MultivariateSingularIntegrals.jl.

Newtonian potentials of Legendre polynomials on rectangles have displacement structure Olver, MultivariateSingularIntegrals.jl

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:34.363916Z

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 4389ffb2-342c-4862-99ac-cd2f746e3225 · outbound

This paper cites Olver, R.

Newtonian potentials of Legendre polynomials on rectangles have displacement structure Olver, R

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:34.171471Z

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 98a639b6-0e3f-4d1a-85e3-956a805186f4 · outbound

This paper cites Pu and M.

Newtonian potentials of Legendre polynomials on rectangles have displacement structure Pu and M

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:33.971262Z

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 a9450057-205a-43de-b36b-290f588d2dc8 · outbound

This paper cites Sarnoff et al.

Newtonian potentials of Legendre polynomials on rectangles have displacement structure Sarnoff et al

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:33.788902Z

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 2bd351c7-402b-4b15-bd70-570aef311465 · outbound

This paper cites Shen and K.

Newtonian potentials of Legendre polynomials on rectangles have displacement structure Shen and K

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:27:33.570449Z

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 aa152dab-536a-4908-b3c0-11dce2b5021a · outbound

This paper cites an unresolved cited work.

Newtonian potentials of Legendre polynomials on rectangles have displacement structure Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:27:33.370265Z

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.