Paper Citation Record · LEDGER

FourierQK: Spectral Preprocessing of Query-Key Projections Improves Transformer Attention

As of 9 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2607.07478.

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

pith.paper-citation-record.v1
2607.07478 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-09T09:58:20.387878Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

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

18 of 18 outbound references displayed

verified exact7
verified fuzzy9
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a9712030-8c4e-46dc-95f7-a241a49c8f09 · outbound

This paper cites Energy-Gated Attention: Spectral Salience as an Inductive Bias for Transformer Attention.

FourierQK: Spectral Preprocessing of Query-Key Projections Improves Transformer Attention Energy-Gated Attention: Spectral Salience as an Inductive Bias for Transformer Attention

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-07-09T10:06:09.452463Z

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 2374a566-eaf5-4958-a65e-5b0c3c290b67 · outbound

This paper cites Energy-Gated Attention and Wavelet Positional Encoding: Complementary Inductive Biases for Transformer Attention.

FourierQK: Spectral Preprocessing of Query-Key Projections Improves Transformer Attention Energy-Gated Attention and Wavelet Positional Encoding: Complementary Inductive Biases for Transformer Attention

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-07-09T10:06:09.448659Z

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 fe4d1abd-6869-49c9-b4b7-f746bd5587f0 · outbound

This paper cites Beyond Sinusoids: A Morlet Wavelet Framework for Transformer Positional Encoding.

FourierQK: Spectral Preprocessing of Query-Key Projections Improves Transformer Attention Beyond Sinusoids: A Morlet Wavelet Framework for Transformer Positional Encoding

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-07-09T10:06:09.445706Z

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 504ff4c9-254d-4b34-a212-d56d4d6555c3 · outbound

This paper cites Multiscale POD of Transformer Attention Fields: Scale-Selective Analysis via Morlet Scalogram.

FourierQK: Spectral Preprocessing of Query-Key Projections Improves Transformer Attention Multiscale POD of Transformer Attention Fields: Scale-Selective Analysis via Morlet Scalogram

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-07-09T10:06:09.434603Z

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 a48dd4f2-edcb-44cd-bdc7-3a3911124a5c · outbound

This paper cites FourierQK : F ilter S hape, A dmissibility, and the L eakage-- C overage L aw.

FourierQK: Spectral Preprocessing of Query-Key Projections Improves Transformer Attention FourierQK : F ilter S hape, A dmissibility, and the L eakage-- C overage L aw

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T10:06:09.896957Z

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 0a7f42eb-e69b-4f89-874c-e7ca51aa29a4 · outbound

This paper cites MorletQK : C ausal W avelet Q uery-- K ey A ttention at W ord S cale.

FourierQK: Spectral Preprocessing of Query-Key Projections Improves Transformer Attention MorletQK : C ausal W avelet Q uery-- K ey A ttention at W ord S cale

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T10:06:09.868744Z

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 07638475-760e-447c-9e8a-50de09bcabbc · outbound

This paper cites an unresolved cited work.

FourierQK: Spectral Preprocessing of Query-Key Projections Improves Transformer Attention Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-07-09T10:06:09.877816Z

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 5ab662dc-aab6-493a-9114-2d2ac1950054 · outbound

This paper cites Wavelet transforms and their applications to turbulence.

FourierQK: Spectral Preprocessing of Query-Key Projections Improves Transformer Attention Wavelet transforms and their applications to turbulence

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T10:06:09.873275Z

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 50ba0815-229a-45ef-858e-510a8e13b107 · outbound

This paper cites Efficiently Modeling Long Sequences with Structured State Spaces.

FourierQK: Spectral Preprocessing of Query-Key Projections Improves Transformer Attention Efficiently Modeling Long Sequences with Structured State Spaces

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-07-09T10:06:09.436048Z

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 8d96ea67-3533-4f75-981a-fe26e0a40208 · outbound

This paper cites E., Shen, Z., Long, S.

FourierQK: Spectral Preprocessing of Query-Key Projections Improves Transformer Attention E., Shen, Z., Long, S

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T10:06:09.894445Z

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 7f456c2f-b09e-4837-943c-a1e5ee027134 · outbound

This paper cites Wavelet GPT: Wavelet Inspired Large Language Models.

FourierQK: Spectral Preprocessing of Query-Key Projections Improves Transformer Attention Wavelet GPT: Wavelet Inspired Large Language Models

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-07-09T10:06:09.429483Z

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 16ca0232-c4e1-43ee-8456-912d725faa83 · outbound

This paper cites FNet: Mixing Tokens with Fourier Transforms.

FourierQK: Spectral Preprocessing of Query-Key Projections Improves Transformer Attention FNet: Mixing Tokens with Fourier Transforms

Reference 12

Resolution: metadata mismatch; local_arxiv, observed 2026-07-09T10:06:09.440493Z

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 87883c8b-b226-4f26-9340-e68664d162f9 · outbound

This paper cites A Wavelet Tour of Signal Processing.

FourierQK: Spectral Preprocessing of Query-Key Projections Improves Transformer Attention A Wavelet Tour of Signal Processing

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T10:06:09.888820Z

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 f0525de3-a5c3-42d1-b6c6-dc149c75c861 · outbound

This paper cites RoFormer : Enhanced transformer with rotary position embedding.

FourierQK: Spectral Preprocessing of Query-Key Projections Improves Transformer Attention RoFormer : Enhanced transformer with rotary position embedding

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T10:06:09.876512Z

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 9f28d774-0133-44c5-9ed2-1e04104225ba · outbound

This paper cites Language through a prism: A spectral approach for multiscale language representations.

FourierQK: Spectral Preprocessing of Query-Key Projections Improves Transformer Attention Language through a prism: A spectral approach for multiscale language representations

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T10:06:09.879227Z

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 dae6b5c7-0631-4259-80c0-b74954e35d4e · outbound

This paper cites and Compo, G.

FourierQK: Spectral Preprocessing of Query-Key Projections Improves Transformer Attention and Compo, G

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T10:06:09.886075Z

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 c271dc05-76b5-4c63-9532-bc204d529309 · outbound

This paper cites N., Kaiser, ., and Polosukhin, I.

FourierQK: Spectral Preprocessing of Query-Key Projections Improves Transformer Attention N., Kaiser, ., and Polosukhin, I

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T10:06:09.891406Z

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 a124e326-5996-43df-b8c8-7ae10b0c3598 · outbound

This paper cites Towards Signal Processing In Large Language Models.

FourierQK: Spectral Preprocessing of Query-Key Projections Improves Transformer Attention Towards Signal Processing In Large Language Models

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-07-09T10:06:09.442770Z

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.

Pith citing papers

No inbound Pith citation observations are available.