Paper Citation Record · LEDGER

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks

As of 21 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2507.19514.

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

pith.paper-citation-record.v1
2507.19514 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:26:08.901973Z

measured 39 of 39 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

39 of 39 outbound references displayed

verified exact3
verified fuzzy20
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5019f8c5-5532-46c5-a1b7-350866e30d18 · outbound

This paper cites LeCun, L.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks LeCun, L

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:13.371599Z

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 e34821cd-3630-4770-8cc6-112a55dbbb36 · outbound

This paper cites Hochreiter and J.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Hochreiter and J

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T16:26:04.819252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a8576373-e080-4e6b-bef3-26ca5639bb66 · outbound

This paper cites J., and Adelson, E.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks J., and Adelson, E

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:13.350544Z

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 49a3c7dc-f4ae-47f0-90d0-b7cd61a815a8 · outbound

This paper cites K., Vandergheynst, P., and Gribonval, R.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks K., Vandergheynst, P., and Gribonval, R

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:13.337419Z

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 2b6eae96-4112-49d8-9e47-62cec2f6ac22 · outbound

This paper cites Feature Detection with Automatic Scale Selection.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Feature Detection with Automatic Scale Selection

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:13.325014Z

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 23cbf457-384e-4759-8cd9-c5b59074c831 · outbound

This paper cites A Wavelet Tour of Signal Processing.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks A Wavelet Tour of Signal Processing

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:13.312512Z

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 5e3d6934-a333-4e3d-9a08-e9d40eb4c3d6 · outbound

This paper cites I., Narang, S.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks I., Narang, S

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:13.300527Z

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 6077432f-5e0d-4c11-8c5e-54264c24dbc1 · outbound

This paper cites Bruna and S.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Bruna and S

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:13.288086Z

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 ca11324d-9d21-4bf1-94c1-ad60de6b9a2f · outbound

This paper cites an unresolved cited work.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:26:13.274134Z

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 5eba7639-f672-42e7-8743-1a4b7b18906d · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Adam: A Method for Stochastic Optimization

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T16:26:05.766653Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50902a87-2d98-438c-b642-63af09fa0232 · outbound

This paper cites Sweldens.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Sweldens

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:13.248760Z

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 3cc3f6a3-59bf-47a8-854c-87064ff16b67 · outbound

This paper cites From Attention to Atoms: Spectral Dictionary Learning for Fast, Interpretable Language Models.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks From Attention to Atoms: Spectral Dictionary Learning for Fast, Interpretable Language Models

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:26:10.004358Z

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 df920e52-1619-4c4f-8de4-9aa5f9df2773 · outbound

This paper cites A Hybrid Wavelet-Fourier Method for Next-Generation Conditional Diffusion Models.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks A Hybrid Wavelet-Fourier Method for Next-Generation Conditional Diffusion Models

Reference 16

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T16:26:09.718694Z

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 216f57de-a49d-4177-bc2c-e3aa2dad07f2 · outbound

This paper cites Breaking Quadratic Barriers: A Non-Attention LLM for Ultra-Long Context Horizons.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Breaking Quadratic Barriers: A Non-Attention LLM for Ultra-Long Context Horizons

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:26:09.403900Z

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 a27d6756-71bc-462d-8202-f13e7a815b45 · outbound

This paper cites Pennington, R.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Pennington, R

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:13.235835Z

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 2bcfb7f1-8f8a-4111-aa12-4008d186d387 · outbound

This paper cites Devlin, M.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Devlin, M

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:13.223931Z

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 5a9aa6b9-aa6d-48ff-9f7f-4649cfba5af0 · outbound

This paper cites an unresolved cited work.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:26:13.151868Z

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 3d529d7d-2686-4424-9a6e-003b5f4cb7bf · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Fourier Neural Operator for Parametric Partial Differential Equations

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-06T16:26:06.706027Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3974783e-c163-4e50-ab56-a9d766ef3bac · outbound

This paper cites FNet: Mixing Tokens with Fourier Transforms.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks FNet: Mixing Tokens with Fourier Transforms

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T16:26:06.784142Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation abe728c9-8638-4b68-92b4-14f3261d6641 · outbound

This paper cites Diffusive relaxation to equilibria for an extended reaction-diffusion system on the real line.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Diffusive relaxation to equilibria for an extended reaction-diffusion system on the real line

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:26:09.100637Z

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 8108c677-0b96-4eb2-9a5c-d9bdd7770002 · outbound

This paper cites an unresolved cited work.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:26:12.715321Z

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 36b4685f-8ec9-4b8c-9bd8-a5e92f3a051c · outbound

This paper cites an unresolved cited work.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:26:12.474886Z

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 6f1cde48-d04b-4010-a3c1-9e70f6c83c88 · outbound

This paper cites an unresolved cited work.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:26:12.903323Z

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 d770fc22-28a8-42e5-8b72-330ad9c93901 · outbound

This paper cites an unresolved cited work.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:26:11.720830Z

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 b2500119-99f8-4cfe-a152-e7a481606116 · outbound

This paper cites Zhang, S.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Zhang, S

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:11.501319Z

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 980112da-09e4-407e-b5e5-678fea5c1eb6 · outbound

This paper cites Vaswani, N.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Vaswani, N

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-06T16:26:07.685678Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 28813c2d-0b60-4714-9073-ed3eb73fc991 · outbound

This paper cites Vetterli and J.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Vetterli and J

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:11.926085Z

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 aca430c9-0c44-4008-a23c-51bd9c05e310 · outbound

This paper cites Daubechies.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Daubechies

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:12.329003Z

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 dd5fa881-28fb-4e7e-a51e-0859c3425ac8 · outbound

This paper cites Strang and T.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Strang and T

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:11.289863Z

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 8b10430f-be40-4b87-8153-fa98f33a40f1 · outbound

This paper cites an unresolved cited work.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:26:11.067322Z

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 bc46d4f5-7eff-4f4c-804d-9b38d8ef068d · outbound

This paper cites Cohen, I.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Cohen, I

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:12.145173Z

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 b85c5d50-03a1-4fdf-b177-31ef7ea3384b · outbound

This paper cites an unresolved cited work.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:26:11.006207Z

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 3f866f06-7417-4b6f-b2d5-40318d22fb32 · outbound

This paper cites Vincent, H.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Vincent, H

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:13.261061Z

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 f06d03dd-5da1-41ef-9882-da4d3193f032 · outbound

This paper cites an unresolved cited work.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:26:10.889485Z

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 8d169842-2222-4af7-9a4f-c7e7907b5960 · outbound

This paper cites BERT: Pre-training of Deep Bidirectional Transformers for Language Understanding.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks BERT: Pre-training of Deep Bidirectional Transformers for Language Understanding

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:10.778950Z

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 31c22d30-f243-48a2-afe4-d2018faa6348 · outbound

This paper cites RoBERTa: A Robustly Optimized BERT Pretraining Approach.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks RoBERTa: A Robustly Optimized BERT Pretraining Approach

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-06T16:26:08.680148Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e3b57ba2-83ab-472b-a7b3-f840ebce38eb · outbound

This paper cites What Does BERT Look At? An Analysis of BERT’s Attention.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks What Does BERT Look At? An Analysis of BERT’s Attention

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:10.685487Z

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 ba48a8b0-1cfe-43cf-a01d-29a051c0d0b4 · outbound

This paper cites Analyzing the Structure of Attention in a Transformer Language Model.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Analyzing the Structure of Attention in a Transformer Language Model

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:10.590658Z

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 008c3775-ea31-4cb5-82d5-cfa036141f77 · outbound

This paper cites Axiomatic Attribution for Deep Net- works.

Wavelet Logic Machines: Learning and Reasoning in the Spectral Domain Without Neural Networks Axiomatic Attribution for Deep Net- works

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:26:10.316969Z

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.