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Paper Citation Record · LEDGER

Fourier transform of composed functions

As of 13 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2412.00075.

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

pith.paper-citation-record.v1
2412.00075 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T12:15:24.431957Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

11 of 11 outbound references displayed

  • verified exact2
  • verified fuzzy6
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9e37004b-0a1e-4e53-890e-42afe60c239c · outbound

This paper cites A Spectral Analysis of Function Composit ion and its Implications for Sampling in Direct Volume Visualization.

Fourier transform of composed functions A Spectral Analysis of Function Composit ion and its Implications for Sampling in Direct Volume Visualization

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:15:24.622040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:15:24.382907Z digest=sha256:893dbbb4865e5dd3088eaf073f7491e67ccdb2f3aedcf64d98a2629f23d3b6cc

Observation c6ecb00a-5456-4515-bc53-24531013bcb7 · outbound

This paper cites Notes on black-hole evaporation.

Fourier transform of composed functions Notes on black-hole evaporation

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-12T12:15:24.392684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T12:15:24.392684Z digest=sha256:49233dbde651d6e5d7e3ae4b567d2bdb48a2b62d93653d6aa84f1e1f5b7114b0

Observation 82779802-dd69-4d3f-8d08-cd000b210e69 · outbound

This paper cites Quantum Gravity: The New Synthesis.

Fourier transform of composed functions Quantum Gravity: The New Synthesis

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:15:24.606413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:15:24.397340Z digest=sha256:d345a58b266601b692cc5cea5f4ef3426a5ae795870024cf18c35b9bb7c6e484

Observation f0f74e04-80f6-4e7a-bfad-07fe8c7ef8e1 · outbound

This paper cites Accelerating decay with acceleration.

Fourier transform of composed functions Accelerating decay with acceleration

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:15:24.591866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:15:24.402731Z digest=sha256:f5f6118e8dce04b5a0f8b8d886faed4d2fb5c307d25cf65167a343eb6474ad6f

Observation 566ecf4c-c06c-4e2b-9341-2daa0aa27a24 · outbound

This paper cites an unresolved cited work.

Fourier transform of composed functions Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-12T12:15:24.576706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:15:24.412849Z digest=sha256:2f434b218ae988f59d9486266f0c7cd27f77b727b94d236a6c1b206d58fe0305

Observation 5c4516d9-493b-4ff7-b79f-73fa539019d1 · outbound

This paper cites Fourier analysis: an introduction.

Fourier transform of composed functions Fourier analysis: an introduction

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:15:24.561045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:15:24.417600Z digest=sha256:64c29806212e26d66e5e870ed8d5a22b28c654a77ef227a2c52b484d8c68c75e

Observation e9cd2850-6706-4dd5-ab0a-843164423277 · outbound

This paper cites Real analysis: measure theory, integra- tion, and Hilbert spaces.

Fourier transform of composed functions Real analysis: measure theory, integra- tion, and Hilbert spaces

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:15:24.545780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:15:24.422581Z digest=sha256:b9d7cd2db65ef6bbae86044eb7a5aedbc89f0da870a33b2df348503480232699

Observation 6fab4b52-e4e9-40a6-9968-cee3590f612a · outbound

This paper cites an unresolved cited work.

Fourier transform of composed functions Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T12:15:24.530231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:15:24.427178Z digest=sha256:69c054caa0ebfcd35c25864cfed4728b8dca172cd8eccd57afd60e438c5852f4

Observation 6a6606fe-fe2b-4a4c-96a6-5894b86f27ca · outbound

This paper cites https://dlmf.nist.gov/, Release 1.1.9 of 2023-03-15.

Fourier transform of composed functions https://dlmf.nist.gov/, Release 1.1.9 of 2023-03-15

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:15:24.514258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:15:24.431957Z digest=sha256:1193f90aea9cced3881b7038c3c8be53ec0d643ecec4710e6071e995f494f356

Observation ef409ee2-bbd7-4a2c-b958-398530d2b68a · outbound

This paper cites an unresolved cited work.

Fourier transform of composed functions Unresolved cited work

Reference 1360

Resolution
verified exact
doi, observed 2026-08-12T12:15:24.476749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:15:24.388186Z digest=sha256:856de0c76a1bd2da1370f06447ed68181e556ec4b92b7b48c376f0a422a45d1d

Observation 9f106f03-5ba4-43bd-ba5d-59a39f708517 · outbound

This paper cites Accelerating decay with acceleration.

Fourier transform of composed functions Accelerating decay with acceleration

Reference 2023

Resolution
verified exact
local_arxiv, observed 2026-08-12T12:15:24.498313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:15:24.407209Z digest=sha256:5cdeb8bea3cc707fe5770138f25459d488051a8220be870eefde9e146552dfd7

Pith citing papers

No inbound Pith citation observations are available.