Paper Citation Record · LEDGER

Function integration, reconstruction and approximation using rank-1 lattices

As of 21 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:1908.01178.

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

pith.paper-citation-record.v1
1908.01178 v4

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:36:24.322844Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

36 of 36 outbound references displayed

verified exact0
verified fuzzy22
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 34b70ba6-27ef-4ba2-be50-696399638da0 · outbound

This paper cites Byrenheid, L.

Function integration, reconstruction and approximation using rank-1 lattices Byrenheid, L

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:24.753538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 17432ba0-c6bb-49c3-938e-fe2a0418026f · outbound

This paper cites Chkifa, A.

Function integration, reconstruction and approximation using rank-1 lattices Chkifa, A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:24.745208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7cea112a-e717-42c5-a1c8-5699a94e58da · outbound

This paper cites Cohen, M.

Function integration, reconstruction and approximation using rank-1 lattices Cohen, M

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:24.736586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f800fffc-da6e-404a-bd5d-fd9e3cc53c4d · outbound

This paper cites Cools, F.Y.

Function integration, reconstruction and approximation using rank-1 lattices Cools, F.Y

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:24.728098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1c52703f-3545-4bd2-b733-f9ad73a44531 · outbound

This paper cites Cools, F.Y.

Function integration, reconstruction and approximation using rank-1 lattices Cools, F.Y

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:24.719162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3382051b-a291-4e46-880e-b9fe846c4abb · outbound

This paper cites Cools, K.

Function integration, reconstruction and approximation using rank-1 lattices Cools, K

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:24.710795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 043cea1c-7414-4669-bf50-cb7c2e88f8c4 · outbound

This paper cites an unresolved cited work.

Function integration, reconstruction and approximation using rank-1 lattices Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:36:24.702632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 63fe7d48-54c7-4850-81a5-bbb6a5e8b462 · outbound

This paper cites an unresolved cited work.

Function integration, reconstruction and approximation using rank-1 lattices Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:36:24.694317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b893653a-5ab3-4f17-93c0-1fab8daac993 · outbound

This paper cites K¨ ammerer, Reconstructing hyperbolic cross trigono metric polynomials from sampling along rank-1 lattices, SIAM J.

Function integration, reconstruction and approximation using rank-1 lattices K¨ ammerer, Reconstructing hyperbolic cross trigono metric polynomials from sampling along rank-1 lattices, SIAM J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:24.685764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8ac7f08e-ec3e-40b9-b8db-ccf777b4ee99 · outbound

This paper cites K¨ ammerer, Reconstructing multivariate trigonome tric polynomials from samples along rank-1 lattices, in G.E.

Function integration, reconstruction and approximation using rank-1 lattices K¨ ammerer, Reconstructing multivariate trigonome tric polynomials from samples along rank-1 lattices, in G.E

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:24.676906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ab2e04e5-8fe6-49a9-b01b-1edab4eb515b · outbound

This paper cites K¨ ammerer, D.

Function integration, reconstruction and approximation using rank-1 lattices K¨ ammerer, D

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:24.667802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4fe25917-a259-41c8-aa35-08509b18a39e · outbound

This paper cites K¨ ammerer, S.

Function integration, reconstruction and approximation using rank-1 lattices K¨ ammerer, S

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:24.659579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2ae937f2-240f-46dc-8d30-2714f5a95cd1 · outbound

This paper cites K¨ ammerer, T.

Function integration, reconstruction and approximation using rank-1 lattices K¨ ammerer, T

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:24.651242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9dd8ea53-fe41-4cd2-b581-445acc37ecf6 · outbound

This paper cites an unresolved cited work.

Function integration, reconstruction and approximation using rank-1 lattices Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:36:24.642596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 92a806cd-e967-4811-9ace-a50c4d30c417 · outbound

This paper cites an unresolved cited work.

Function integration, reconstruction and approximation using rank-1 lattices Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:36:24.634075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0d3da267-1f97-4942-94ce-3c342adfe6ea · outbound

This paper cites an unresolved cited work.

Function integration, reconstruction and approximation using rank-1 lattices Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:36:24.625846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 48cbfd9c-1875-4b32-9536-733104814b8c · outbound

This paper cites an unresolved cited work.

Function integration, reconstruction and approximation using rank-1 lattices Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:36:24.617664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c645fdfa-74c9-45be-aece-b243dc9b5c28 · outbound

This paper cites an unresolved cited work.

Function integration, reconstruction and approximation using rank-1 lattices Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:36:24.609468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 07690f39-ef2e-4743-8aba-48ed5781a531 · outbound

This paper cites an unresolved cited work.

Function integration, reconstruction and approximation using rank-1 lattices Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:36:24.599973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 772e9b4f-6375-4651-b9fc-e7a70f1c20d2 · outbound

This paper cites an unresolved cited work.

Function integration, reconstruction and approximation using rank-1 lattices Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:36:24.591637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e2ec0a84-e505-4622-b19c-9a0f617264eb · outbound

This paper cites Migliorati, F.

Function integration, reconstruction and approximation using rank-1 lattices Migliorati, F

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:24.581790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 94e164cb-0642-44ef-9e56-eefee9a4bf53 · outbound

This paper cites Migliorati, F.

Function integration, reconstruction and approximation using rank-1 lattices Migliorati, F

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:24.572919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b839d6a3-41b7-41b1-aff0-6f587e65e793 · outbound

This paper cites Migliorati, Multivariate Markov-type and Nikolski i-type inequalities for polynomials associated with downward closed multi-index sets, J.

Function integration, reconstruction and approximation using rank-1 lattices Migliorati, Multivariate Markov-type and Nikolski i-type inequalities for polynomials associated with downward closed multi-index sets, J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:24.564610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f5348ab8-97ff-4465-bcb3-b5ab4991bbd5 · outbound

This paper cites Munthe-Kaas, T.

Function integration, reconstruction and approximation using rank-1 lattices Munthe-Kaas, T

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:24.555963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 74c43976-6082-4f10-a45c-6aeb633ec0d5 · outbound

This paper cites Narayan, Z.

Function integration, reconstruction and approximation using rank-1 lattices Narayan, Z

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:24.547836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 188440e7-5c78-4455-9a4a-e92bc73ad0ea · outbound

This paper cites Potts, T.

Function integration, reconstruction and approximation using rank-1 lattices Potts, T

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:24.539372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2336a789-7ed2-43bb-ba06-174aaa9ae71b · outbound

This paper cites Potts, T.

Function integration, reconstruction and approximation using rank-1 lattices Potts, T

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:24.530478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 13bd6496-e9bd-447d-9f48-61f6be71641e · outbound

This paper cites an unresolved cited work.

Function integration, reconstruction and approximation using rank-1 lattices Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:36:24.521794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7493de75-b7fe-4ea0-b611-029d848544f3 · outbound

This paper cites Suryanarayana, D.

Function integration, reconstruction and approximation using rank-1 lattices Suryanarayana, D

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:24.512909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 608a149c-7785-4520-94b4-f8c36d95bcd6 · outbound

This paper cites Suzuki, G.

Function integration, reconstruction and approximation using rank-1 lattices Suzuki, G

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:24.503924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 38ed99a5-3995-41aa-b3d3-5631425d691f · outbound

This paper cites Suzuki, D.

Function integration, reconstruction and approximation using rank-1 lattices Suzuki, D

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:24.495369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 205a9327-f18b-40f9-8e31-b4218a43288f · outbound

This paper cites Volkmer, sparseFFTr1l software library, https://w ww-user.tu-chemnitz.de/∼tovo/software.php.en.

Function integration, reconstruction and approximation using rank-1 lattices Volkmer, sparseFFTr1l software library, https://w ww-user.tu-chemnitz.de/∼tovo/software.php.en

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:24.486527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 832022d3-349e-4dea-90c0-8bc7719c3922 · outbound

This paper cites an unresolved cited work.

Function integration, reconstruction and approximation using rank-1 lattices Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:36:24.477342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9fbe5ac9-051e-4460-8417-0def97bc3088 · outbound

This paper cites an unresolved cited work.

Function integration, reconstruction and approximation using rank-1 lattices Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:36:24.468651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 90a268b5-d4a7-474a-93ea-4da7ea5529d0 · outbound

This paper cites an unresolved cited work.

Function integration, reconstruction and approximation using rank-1 lattices Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:36:24.459294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 084dc493-f9bc-4b5f-a081-b429f2ae9fbf · outbound

This paper cites an unresolved cited work.

Function integration, reconstruction and approximation using rank-1 lattices Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:36:24.449763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.