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Paper Citation Record · LEDGER

Embedding and Approximation Theorems for Echo State Networks

As of 17 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:1908.05202.

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

pith.paper-citation-record.v1
1908.05202 v2

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:35:46.087477Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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 exact2
  • verified fuzzy11
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1f709891-f3e2-4572-8363-4b029eb1da5b · outbound

This paper cites Data-driven prediction of a multi-scale Lorenz 96 chaotic system using deep learning methods: Reservoir computing, ANN, and RNN-LSTM.

Embedding and Approximation Theorems for Echo State Networks Data-driven prediction of a multi-scale Lorenz 96 chaotic system using deep learning methods: Reservoir computing, ANN, and RNN-LSTM

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-14T13:35:46.029397Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:35:46.029397Z digest=sha256:c951112c5908bf59dad2cb86748adce670f3b4330dbf1006ac448c30caa2b06c

Observation 89313ac9-2014-4336-afef-0174ebf79f39 · outbound

This paper cites (2019), ‘Data-driven reconstruction of nonlinear dynamics from sparse observation’, Journal of Computational Physics 395, 671 –.

Embedding and Approximation Theorems for Echo State Networks (2019), ‘Data-driven reconstruction of nonlinear dynamics from sparse observation’, Journal of Computational Physics 395, 671 –

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:35:46.171899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation db382cd5-03c7-4cfa-8321-427a36eeb2d6 · outbound

This paper cites R., Girvan, M.

Embedding and Approximation Theorems for Echo State Networks R., Girvan, M

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:35:46.238078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 4fdd5507-4fcf-4c88-b066-cffcfec40292 · outbound

This paper cites G., Arghir, A., Günther, T.

Embedding and Approximation Theorems for Echo State Networks G., Arghir, A., Günther, T

Reference 27

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verified fuzzy
raw_fallback, observed 2026-08-14T13:35:46.228948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:35:46.060615Z digest=sha256:6bee1743fd182289072ff33f34d91b8052a61fdaa5919585137df2a878a71938

Observation f2882546-78ac-445d-b4c1-6ac628f8aa16 · outbound

This paper cites Ghrist, R.

Embedding and Approximation Theorems for Echo State Networks Ghrist, R

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:35:46.276559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 83241698-7b82-40a8-afb5-55a9ea9df3a4 · outbound

This paper cites an unresolved cited work.

Embedding and Approximation Theorems for Echo State Networks Unresolved cited work

Reference 68

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:35:46.219746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation fe42d0a7-a10b-4d54-bbfe-e5dc8866e3be · outbound

This paper cites Approximation Bounds for Random Neural Networks and Reservoir Systems.

Embedding and Approximation Theorems for Echo State Networks Approximation Bounds for Random Neural Networks and Reservoir Systems

Reference 75

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:35:46.153402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:35:46.040598Z digest=sha256:7fdbb5e14efe63973730906b5f6fa78788e2d831e4726658e1acb4be6f095755

Observation bf46d47c-8a12-4d19-8d4e-2740486ffe1b · outbound

This paper cites & Adams, H.

Embedding and Approximation Theorems for Echo State Networks & Adams, H

Reference 123

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:35:46.190353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:35:46.073697Z digest=sha256:1eabfd1c6c5f9377e458676e5750841d1a3cdfdbfcd6b7d029f0b97db4218ba7

Observation f54d4132-f4e3-4b7b-ad8f-726801275720 · outbound

This paper cites & Meiss, J.

Embedding and Approximation Theorems for Echo State Networks & Meiss, J

Reference 305

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:35:46.285887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:35:46.033599Z digest=sha256:1d3adc72bf53e12bbebc01a9bc5fc11ad8a3d5a9b2863b9a9adbc99af2665a9a

Observation fdf142fb-4c7c-481b-baa1-94d4a318871b · outbound

This paper cites B., Nakane, R., Kanazawa, N., Takeda, S., Numata, H., Nakano, D.

Embedding and Approximation Theorems for Echo State Networks B., Nakane, R., Kanazawa, N., Takeda, S., Numata, H., Nakano, D

Reference 366

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:35:46.200031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 2cb22984-4554-4bbb-85d8-efe7bc37bb32 · outbound

This paper cites Sprott, J.

Embedding and Approximation Theorems for Echo State Networks Sprott, J

Reference 423

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:35:46.209740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 600b7839-e8ea-4944-9625-d6614fbc4598 · outbound

This paper cites Tralie, C., Saul, N.

Embedding and Approximation Theorems for Echo State Networks Tralie, C., Saul, N

Reference 432

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:35:46.181058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 6f4898a9-cce0-408a-bfae-48359501e6cf · outbound

This paper cites echo state.

Embedding and Approximation Theorems for Echo State Networks echo state

Reference 501

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:35:46.257511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:35:46.051353Z digest=sha256:17fa451dd752a405d8b75eae23164090888fd48934524807335da7bed2b12b75

Observation 3dbba725-b69d-458d-97c8-d46ecbb5c4e3 · outbound

This paper cites TikZ-network manual.

Embedding and Approximation Theorems for Echo State Networks TikZ-network manual

Reference 508

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:35:46.139762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:35:46.044436Z digest=sha256:a216e48f3787800fcb145bfe9304212b4b48bed8c3737df088e001081e995828

Observation 724fe289-076e-48db-b3d7-8fbc35b35e24 · outbound

This paper cites & Siew, C.-K.

Embedding and Approximation Theorems for Echo State Networks & Siew, C.-K

Reference 560

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:35:46.267062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:35:46.047944Z digest=sha256:ae526c285876c66f1a1a21a58aa48b854227485b6e7058545f76b2f3025ba81f

Observation 897ab886-4a14-4e62-b1a0-bc7681039f5e · outbound

This paper cites Bayesian optimization of hyper-parameters in reservoir computing.

Embedding and Approximation Theorems for Echo State Networks Bayesian optimization of hyper-parameters in reservoir computing

Reference 689

Resolution
unresolved
no resolver link, observed 2026-08-14T13:35:46.087477Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 5b6f3236-69c1-4a38-9847-49c989bf147f · outbound

This paper cites Backpropagation Algorithms and Reservoir Computing in Recurrent Neural Networks for the Forecasting of Complex Spatiotemporal Dynamics.

Embedding and Approximation Theorems for Echo State Networks Backpropagation Algorithms and Reservoir Computing in Recurrent Neural Networks for the Forecasting of Complex Spatiotemporal Dynamics

Reference 925

Resolution
unresolved
no resolver link, observed 2026-08-14T13:35:46.080942Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:35:46.080942Z digest=sha256:e8db557898bb23d2223c6e05c3a7010cfb05a3892f1a8390aa8407b9408e9e1e

Observation 1a061d1e-1e6a-47a3-b630-df4419ff54b9 · outbound

This paper cites an unresolved cited work.

Embedding and Approximation Theorems for Echo State Networks Unresolved cited work

Reference 7317

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:35:46.248222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Pith citing papers

No inbound Pith citation observations are available.