Paper Citation Record · LEDGER

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms

As of 10 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2507.15703.

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

pith.paper-citation-record.v1
2507.15703 v1

Coverage vector

measured 27 of 27 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T15:29:27.902412Z

measured 27 of 27 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

27 of 27 outbound references displayed

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unresolved13
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External citation measurements

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Outbound references

Observation 7018d79e-ebf2-469b-a608-df498358a772 · outbound

This paper cites In this approach, we create a box of dimensions N × N × M , populate it with simulated values of the 3-D Fourier transform ˜T⃗k, and apply an inverse FFT to simulate a map.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms In this approach, we create a box of dimensions N × N × M , populate it with simulated values of the 3-D Fourier transform ˜T⃗k, and apply an inverse FFT to simulate a map

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:29:28.631932Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bbc6cea5-c607-4aa9-8652-b04ae0552691 · outbound

This paper cites pseudo-Cls.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms pseudo-Cls

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:29:28.612035Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 48f3456a-9609-41f6-8f6e-c259fe7108a5 · outbound

This paper cites shrinking.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms shrinking

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:29:28.594741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6f89ee0a-f1b4-400c-8013-af6a2f994db2 · outbound

This paper cites 4-Year COBE DMR Cosmic Microwave Background Observations: Maps and Basic Results.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms 4-Year COBE DMR Cosmic Microwave Background Observations: Maps and Basic Results

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T15:29:27.573712Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 71f21d9b-8031-40a8-8986-26f4c15b441e · outbound

This paper cites Challinor, Cmb anisotropy science: a review, Pro- ceedings of the International Astronomical Union 8, 42 (2012).

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms Challinor, Cmb anisotropy science: a review, Pro- ceedings of the International Astronomical Union 8, 42 (2012)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:29:28.578526Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3aad980b-4a9a-4fb2-ab85-8863eeb4d14b · outbound

This paper cites HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T15:29:27.746684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e924faf-8bb9-4825-ab19-d22729d7a1ea · outbound

This paper cites an unresolved cited work.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:29:28.562039Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cc8c7a9c-8c0f-47d7-ae3f-72491db3f335 · outbound

This paper cites an unresolved cited work.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:29:28.540919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4e2b07aa-8ba2-4ec6-9cde-e522cc9401da · outbound

This paper cites Akrami, F.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms Akrami, F

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:29:28.524954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6f5a6bbe-b38f-40e2-80e7-38bc60e5b9b1 · outbound

This paper cites SPT-3G: A Next-Generation Cosmic Microwave Background Polarization Experiment on the South Pole Telescope.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms SPT-3G: A Next-Generation Cosmic Microwave Background Polarization Experiment on the South Pole Telescope

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T15:29:27.779328Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 826da248-c704-450e-90d2-786132417e06 · outbound

This paper cites Bleem, P.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms Bleem, P

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:29:28.501799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f73ebc93-f56a-4e08-8839-f08b5c64a637 · outbound

This paper cites The Atacama Cosmology Telescope: Two-Season ACTPol Spectra and Parameters.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms The Atacama Cosmology Telescope: Two-Season ACTPol Spectra and Parameters

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T15:29:27.793089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce41d0b5-54a9-481a-9ca1-3fc6c216931b · outbound

This paper cites an unresolved cited work.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T15:29:27.799460Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c8181513-5a32-4092-8379-9f6878c79f39 · outbound

This paper cites Snowmass 2021 CMB-S4 White Paper.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms Snowmass 2021 CMB-S4 White Paper

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T15:29:27.805186Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f11db537-9d9e-4c9b-921a-fdf8e36fa7ce · outbound

This paper cites Dodelson, Modern Cosmology , 1st ed.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms Dodelson, Modern Cosmology , 1st ed

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:29:28.485051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8bfa01af-b3a0-4f02-a8eb-bf0ecfb669da · outbound

This paper cites an unresolved cited work.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:29:28.468940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1df53a1b-8deb-4c6d-bebf-497b6d3c897d · outbound

This paper cites Accelerating spherical harmonic transforms for a large number of sky maps.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms Accelerating spherical harmonic transforms for a large number of sky maps

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:29:28.060382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6adb9a54-700c-4518-8b9b-66b53908b96b · outbound

This paper cites an unresolved cited work.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:29:28.454704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 325c51c0-af8b-4bbd-8a0b-5cd6a4ff3cb8 · outbound

This paper cites and Seljebotn, D.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms and Seljebotn, D

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:29:28.438685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 20594b59-9ea0-4473-b046-4deb9f5220f0 · outbound

This paper cites Suda and M.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms Suda and M

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:29:28.420733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 10d8b89c-44e5-4166-89e1-25e06239b493 · outbound

This paper cites Fast algorithms for spherical harmonic expansions, III.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms Fast algorithms for spherical harmonic expansions, III

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:29:28.027269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0551d6b8-9721-407e-bfdf-39e644b9f0c9 · outbound

This paper cites Tygert, Fast algorithms for spherical harmonic expan- sions, II, Journal of Computational Physics 227, 4260 (2008).

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms Tygert, Fast algorithms for spherical harmonic expan- sions, II, Journal of Computational Physics 227, 4260 (2008)

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:29:28.403117Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ef27cf34-8cea-4dd6-ad6c-420f4a0b270a · outbound

This paper cites an unresolved cited work.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:29:28.376820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ec7211a6-6a76-4cda-9c53-4fdb92511ea4 · outbound

This paper cites an unresolved cited work.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:29:28.348187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d4a85f7a-9be2-4636-b01b-267c088d39d4 · outbound

This paper cites an unresolved cited work.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:29:28.321004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation fcbc8b3a-f882-4202-9087-4ee0f16a434b · outbound

This paper cites A Fast and Accurate Algorithm for Spherical Harmonic Analysis on HEALPix Grids with Applications to the Cosmic Microwave Background Radiation.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms A Fast and Accurate Algorithm for Spherical Harmonic Analysis on HEALPix Grids with Applications to the Cosmic Microwave Background Radiation

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:29:27.996627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2342556c-407b-4c7a-9c9c-64f52c773513 · outbound

This paper cites Polarization of the Cosmic Microwave Background.

Simulating Partial Sky Cosmic Microwave Background Maps with 3D Fast Fourier Transforms Polarization of the Cosmic Microwave Background

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:29:27.969057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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