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Paper Citation Record · LEDGER

Additive decomposition of one-dimensional signals using Transformers

As of 21 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 2026-08-21T06:32:19.484+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

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:19:15.500084Z digest=sha256:19fcd8931ac9d6c0bb00fe297c79c754caba5ad05c64f61daacf7a186bf1d5c7

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:aa51aaf43da51c133c03fd6c038efe30f389d28df6c8fafef63b8a092028b43c

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:19:15.864066Z digest=sha256:7e860c7d7f22ed97130805f227b774d381924d6dfcb7c73a075472280f59760f

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:19:16.026064Z digest=sha256:7f2426561ebddd9f2684a9321c19055a53c1bd6293625241a5f5c4c5a842ff6d

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=sha256:99731cd2657d531667418b52a54bba39b24a90fc8167e97c21b5f1a361331713

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

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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:d02b85fa49638076b3235231d5203b67bd0ff356c7dc9688906282b32b0f2db8

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:19:16.477268Z digest=sha256:cc28c02bec9596ae54b498b57b3bacac42d94eb83168fc9bafbe211929c529e3

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

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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=sha256:890102167c5048d7e33f70a264290553647de17e1212785d1372990938993302

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:19:16.849511Z digest=sha256:5b94249eadf5cb70e4af11747bbd806adad217c5c369710c983a1d2cb9a9904e

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:19:17.086810Z digest=sha256:3c58fd1472e6a44ac917a456637a2e8e500e8c27ad84b6e93ff1859a15aea4fb

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:19:17.301719Z digest=sha256:4a510971bdc15e735499edd0c208896ffa905bae41741ccc9bc7b8c07d725978

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:19:17.457937Z digest=sha256:4487d4740989fd10575c6d7b88df619a1ddb6603932dade943d5eb00d61058f2

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:19:17.657032Z digest=sha256:284fee8bb28bee7b0b88bd4e050afaad51796a00d1d97b6182fbfd2c3f307895

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=sha256:98b978e2de5ed94bbe4620d14d7e1e397fe56b4db451163d07a913bc555ee768

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:19:17.958575Z digest=sha256:1681e027126918987918fb20a1cad4812fecf7357cba76d5214f6d32b865d5b1

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:19:18.127952Z digest=sha256:bd8ba888172ffd8c8e3e4924ca3b15306eaa801735ea9a48c65438bb60fe2a66

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=sha256:7cb95980f2f931f92ab7737421a2533b454a88f13f72a26d385918a8a48b7845

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=sha256:94dfd719603225174f74c80d666c22d412fc80537e8c42e36e06c5f88745b2e8

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:19:18.380049Z digest=sha256:d8b800c4ccad6ad55f1f2aba3ffa354a4f62b7f26e86a276926523689af6e2d9

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:d6a55186fb6ca861ab73ceb89e2d5d3a62ed9186498c84cf81b204bf51874e82

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:19:18.486980Z digest=sha256:50da3b6d705d8c27becfacc782a7901d3a2fd81308caaabb684e99879f7cafd2

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=sha256:189acaf4193a39f92c142398479d2c58c4374ffb0f896a0df592340d12f5ad3b

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=sha256:61cd1948c512eb1b0640894bb71e1ad4b8b6234245df621055ddffea0cc14852

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:c7f33f269776674999eccf6d4edb85316c8df4502e14ac00d3c19317f91a3ed4

Pith citing papers

No inbound Pith citation observations are available.