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Paper Citation Record · LEDGER

Additive decomposition of one-dimensional signals using Transformers

As of 16 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2506.05942.

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

pith.paper-citation-record.v1
2506.05942 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:19:18.676110Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

24 of 24 outbound references displayed

  • verified exact4
  • verified fuzzy6
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 09cdbca5-76be-4fd6-8411-cccdf64972f1 · outbound

This paper cites write newline.

Additive decomposition of one-dimensional signals using Transformers write newline

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:19:21.655288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T10:19:15.500084Z digest=sha256:47ab79f8418828799f8889c22cff6aaf303d681dc8e0eea5a4038c0d5e3eaaad

Observation b4f07982-c1fb-4f2a-b868-288263b45596 · outbound

This paper cites Layer Normalization.

Additive decomposition of one-dimensional signals using Transformers Layer Normalization

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T10:19:15.662336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:19:15.662336Z digest=sha256:6032d99a5545426e560007d3d1b8cd494e5225f8f53a524e874bd2b3a4ca0fe6

Observation adeb9bca-3a36-41d9-b469-2914bafac80b · outbound

This paper cites , author Selesnick, I.

Additive decomposition of one-dimensional signals using Transformers , author Selesnick, I

Reference 3

Resolution
verified exact
doi, observed 2026-08-07T10:19:19.087822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T10:19:15.864066Z digest=sha256:fda140480a6f4552ba214bb058f1924cccda3ab1cd125fee9f1fcab6dfcabb2e

Observation 4c4d5cbc-0102-4898-9ba4-1d532bf85fa3 · outbound

This paper cites , author Zhang, H.

Additive decomposition of one-dimensional signals using Transformers , author Zhang, H

Reference 4

Resolution
metadata mismatch
raw_fallback, observed 2026-08-07T10:19:20.077322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T10:19:16.026064Z digest=sha256:8bd148975babe8fdb20b02678968788aa328500a6461f8888a6f8d9f52da009d

Observation 5c889b78-2652-4c5d-bc20-737344013d86 · outbound

This paper cites , author Huska, M.

Additive decomposition of one-dimensional signals using Transformers , author Huska, M

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-07T10:19:16.161681Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:19:16.161681Z digest=sha256:088f4a9c2b846774cffac8bab0de140dd8c4a149a3aea8a53d211814b031a802

Observation 10a9ef1e-1f61-4a8a-ac6a-15707c1fab74 · outbound

This paper cites , author Lu, J.

Additive decomposition of one-dimensional signals using Transformers , author Lu, J

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T10:19:16.317710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:19:16.317710Z digest=sha256:e568db5f5b07aea0f23f42712dd5deea5f1e26c2c276339d17df3b9994db00fc

Observation 8765af41-9a0f-457e-89e7-fda526616607 · outbound

This paper cites , author Beyer, L.

Additive decomposition of one-dimensional signals using Transformers , author Beyer, L

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:19:21.391060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T10:19:16.477268Z digest=sha256:96e60a275a1b7c7c35d1a04dbb83c846706b486ead98a5431d8aa7b017fc80ae

Observation 5a57b2fd-b3ab-4768-bee8-8ebe9585e54f · outbound

This paper cites , & author Zosso, D.

Additive decomposition of one-dimensional signals using Transformers , & author Zosso, D

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-07T10:19:16.689896Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:19:16.689896Z digest=sha256:b443305536331790250049f5385529337322244c71c8ab0963ad5dabb54a4040

Observation f147b652-caaa-4d64-a2cf-24366872b7b4 · outbound

This paper cites , & author Rehman, N.

Additive decomposition of one-dimensional signals using Transformers , & author Rehman, N

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:19:21.137051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T10:19:16.849511Z digest=sha256:592d54b919f310091b3e2076b89b62c074c199093eefcae49b0b2c18488fb71f

Observation ae91295d-9d4d-447c-8194-93ac8d568953 · outbound

This paper cites , author Huska, M.

Additive decomposition of one-dimensional signals using Transformers , author Huska, M

Reference 10

Resolution
verified exact
doi, observed 2026-08-07T10:19:18.958555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T10:19:17.086810Z digest=sha256:ec8b7a831c4d9b037fa21fd27aa56c200795a03a097c0bc0d9c5d82b686ac455

Observation 0ea12fc6-d48f-4831-8cbd-5fadb5031926 · outbound

This paper cites an unresolved cited work.

Additive decomposition of one-dimensional signals using Transformers Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:19:20.929029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T10:19:17.301719Z digest=sha256:c06dcb7e02d5c4c45ad01e23ab4c6927251fbcd9742d1b059f2258615dcaf90a

Observation 5e7a433d-afb2-4dcf-85f0-b602e0ad8926 · outbound

This paper cites , & author Ba, J.

Additive decomposition of one-dimensional signals using Transformers , & author Ba, J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:19:20.781708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T10:19:17.457937Z digest=sha256:ac46cf31c662a4505c477ec88a1d5e0f3452f08c20f5dce9b2ec682be7ce09bf

Observation aae77e15-5521-4136-a903-690fd7cc3fc0 · outbound

This paper cites , author Jiao, S.-B.

Additive decomposition of one-dimensional signals using Transformers , author Jiao, S.-B

Reference 13

Resolution
verified exact
doi, observed 2026-08-07T10:19:18.885944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T10:19:17.657032Z digest=sha256:3ddb9168976d9ff714d50718947fb89136839c35b32a7168a253dfc722558dea

Observation 366ee058-b41e-4610-b7fb-bc1424d2f4cd · outbound

This paper cites , author Tan, Y.

Additive decomposition of one-dimensional signals using Transformers , author Tan, Y

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T10:19:17.815569Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:19:17.815569Z digest=sha256:480dd3488db57b6f13d8340b7cff0364ab3a9b8a2c0d360776c67136b55c67fc

Observation b4e845b2-0864-457e-a55c-c12112571718 · outbound

This paper cites an unresolved cited work.

Additive decomposition of one-dimensional signals using Transformers Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:19:20.622128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T10:19:17.958575Z digest=sha256:8cf870dde9a983844dab352ef8ea7f4d509c63f8095471a98a0f5a6f154b1f4d

Observation afcfbb23-57d7-4a13-8935-8100c077f8e2 · outbound

This paper cites , author Joshi, S.

Additive decomposition of one-dimensional signals using Transformers , author Joshi, S

Reference 16

Resolution
verified exact
raw_fallback, observed 2026-08-07T10:19:19.601931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T10:19:18.127952Z digest=sha256:45df1904c9562a148663cb750c0ed96129daeef3bda900a04b06e832aac8a5ac

Observation c565be84-dc96-4741-aca0-eb7c2faa01f9 · outbound

This paper cites Super-Convergence: Very Fast Training of Neural Networks Using Large Learning Rates.

Additive decomposition of one-dimensional signals using Transformers Super-Convergence: Very Fast Training of Neural Networks Using Large Learning Rates

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T10:19:18.245327Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:19:18.245327Z digest=sha256:b18a5d13228174aea7763185a4f04ed57dbf6888a03911789ca14001fefc2469

Observation f3572383-918c-4fe2-af49-a28482ce113f · outbound

This paper cites , author Hinton, G.

Additive decomposition of one-dimensional signals using Transformers , author Hinton, G

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-07T10:19:18.327798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:19:18.327798Z digest=sha256:e6fa73c0a2490749bbbd727de8de40eab640079d4006a5286b1ad4c2e25a8956

Observation 9b2cd1d8-c07d-4b84-81c5-b24f2a2c69e9 · outbound

This paper cites , author Shazeer, N.

Additive decomposition of one-dimensional signals using Transformers , author Shazeer, N

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:19:20.441432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T10:19:18.380049Z digest=sha256:914376a8e087b1220cf7acfbb6612aa72f52c73295cf720b4e41d25134984220

Observation 1259c245-45e2-46c0-b5d2-40ce50296d33 · outbound

This paper cites , author Zhou, T.

Additive decomposition of one-dimensional signals using Transformers , author Zhou, T

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-07T10:19:18.450097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:19:18.450097Z digest=sha256:8b25a23b3d81504c6e8d800b1f948380e6df80b26d31d1717e0c54f0eeac7f3d

Observation 5063993c-7746-4ece-9ccd-98522a4e3a17 · outbound

This paper cites , author Xu, J.

Additive decomposition of one-dimensional signals using Transformers , author Xu, J

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:19:20.241095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-07T10:19:18.486980Z digest=sha256:695bda6cbef15a5a29859ccbd7298987806dccc1f9f237ac4b694525cc150b04

Observation fc99d231-a1c1-4330-b55b-1e58942efc00 · outbound

This paper cites , author Cicone, A.

Additive decomposition of one-dimensional signals using Transformers , author Cicone, A

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T10:19:18.556017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:19:18.556017Z digest=sha256:c302e4dcc8c91da644f072a251a35373b010cc9e8a9c6380c96aed3f68d4f91a

Observation e735ce77-b52f-4152-9015-9e2e297eff42 · outbound

This paper cites FEDformer: Frequency Enhanced Decomposed Transformer for Long-term Series Forecasting.

Additive decomposition of one-dimensional signals using Transformers FEDformer: Frequency Enhanced Decomposed Transformer for Long-term Series Forecasting

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-07T10:19:18.613727Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:19:18.613727Z digest=sha256:c35678cb7e120e488d13d84e0956d9df5fd7262e0596907adb7945af106757b5

Observation 27ff0105-d1cf-44d0-9d62-2ae4c649fb83 · outbound

This paper cites , author Feng, Z.

Additive decomposition of one-dimensional signals using Transformers , author Feng, Z

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-07T10:19:18.676110Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:19:18.676110Z digest=sha256:b1f250e0ac5b350752c375547cae4b2963a1c7458ff0e5cd584edeb72edb63ad

Pith citing papers

No inbound Pith citation observations are available.