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Paper Citation Record · LEDGER

Predicting Critical Transitions in Multiscale Dynamical Systems Using Reservoir Computing

As of 17 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:1908.03771.

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

pith.paper-citation-record.v1
1908.03771 v5

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:07:46.867080Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

15 of 15 outbound references displayed

  • verified exact3
  • verified fuzzy5
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b3a19c0f-356f-44d7-9071-0b067fe86c80 · outbound

This paper cites A GARWAL AND J.

Predicting Critical Transitions in Multiscale Dynamical Systems Using Reservoir Computing A GARWAL AND J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:07:47.096027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:07:46.802576Z digest=sha256:593ea3bc4599d60bab3ea3ae7469f135a1d72328990e6ad2ac2947b938b16eb4

Observation 83ce6f40-b95f-44fa-814b-22b2bbdb09cb · outbound

This paper cites Discrete-time signatures and randomness in reservoir computing.

Predicting Critical Transitions in Multiscale Dynamical Systems Using Reservoir Computing Discrete-time signatures and randomness in reservoir computing

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:07:46.977264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation a7d10cfe-e231-4d80-a506-05fa271b8558 · outbound

This paper cites an unresolved cited work.

Predicting Critical Transitions in Multiscale Dynamical Systems Using Reservoir Computing Unresolved cited work

Reference 223

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:07:47.047123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:07:46.831388Z digest=sha256:12d60efadd084ab131391cbee63ba95f12f28d91bb9a674b56d54b59525339ac

Observation 22345508-858e-49b6-9a37-7cae54d21d74 · outbound

This paper cites EISENMAN AND J.

Predicting Critical Transitions in Multiscale Dynamical Systems Using Reservoir Computing EISENMAN AND J

Reference 503

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:07:47.059149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:07:46.820415Z digest=sha256:4b092db5feff8532933ccf68aba20647b84f4157af28d4cf62f9d51fec1554b0

Observation 979ef98f-38c6-4c4a-bc55-482a3d342561 · outbound

This paper cites Risk bounds for reservoir computing.

Predicting Critical Transitions in Multiscale Dynamical Systems Using Reservoir Computing Risk bounds for reservoir computing

Reference 865

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:07:46.948032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:07:46.841133Z digest=sha256:c350e6893fe5c8ac9bcd2935f3f7f4b014b38c584ce65e1724155b54a9b72d08

Observation 90caf324-2ece-4527-8418-95696f4e49b3 · outbound

This paper cites Deep Echo State Network (DeepESN): A Brief Survey.

Predicting Critical Transitions in Multiscale Dynamical Systems Using Reservoir Computing Deep Echo State Network (DeepESN): A Brief Survey

Reference 1009

Resolution
unresolved
no resolver link, observed 2026-08-14T14:07:46.825312Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:07:46.825312Z digest=sha256:d8739d5811b9d955cc401087933ad1f2b9470b0e8fc1574f2b07d8c639f0f776

Observation 7598b7cd-16e6-45d4-baf4-5e3d47c6e1c3 · outbound

This paper cites How to Construct Deep Recurrent Neural Networks.

Predicting Critical Transitions in Multiscale Dynamical Systems Using Reservoir Computing How to Construct Deep Recurrent Neural Networks

Reference 1361

Resolution
unresolved
no resolver link, observed 2026-08-14T14:07:46.863273Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:07:46.863273Z digest=sha256:0e65bdc25cb574b789cfbc468f21efb4aa1e0fba2fcbd2a84b7adf74ca3cc652

Observation 3506e41b-e594-4e69-807e-8c5bec598609 · outbound

This paper cites an unresolved cited work.

Predicting Critical Transitions in Multiscale Dynamical Systems Using Reservoir Computing Unresolved cited work

Reference 1996

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:07:47.004367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:07:46.855243Z digest=sha256:43e988faaef4275159da03fead5be410003f79f4eb0bca3cbe7d83116924bacb

Observation dc05a8dc-1c45-465a-b3e9-1c2a7063f4ed · outbound

This paper cites Understanding Recurrent Neural Networks Using Nonequilibrium Response Theory.

Predicting Critical Transitions in Multiscale Dynamical Systems Using Reservoir Computing Understanding Recurrent Neural Networks Using Nonequilibrium Response Theory

Reference 2002

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:07:46.930815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:07:46.850783Z digest=sha256:83bdef622a50e39e547ba6fe06e517d8cd29c4e41560accaa164a6df91f09a18

Observation 2497e002-66e3-49d4-9c33-b02fd0aacc7f · outbound

This paper cites B ERNER , U.

Predicting Critical Transitions in Multiscale Dynamical Systems Using Reservoir Computing B ERNER , U

Reference 2006

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:07:47.071426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:07:46.810848Z digest=sha256:23c3d196105569ea40134ef6fd48c2a677f615e24e2679a0d874c3e482ed0dbb

Observation 142581f6-fab6-43e8-b118-c1a7557130ad · outbound

This paper cites Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations.

Predicting Critical Transitions in Multiscale Dynamical Systems Using Reservoir Computing Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations

Reference 2008

Resolution
unresolved
no resolver link, observed 2026-08-14T14:07:46.867080Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:07:46.867080Z digest=sha256:76f54bca90d16557033151a1ca3441df2b0984eca1e8987f50572f6979fdbf38

Observation fec21513-0ee7-494e-8dc0-1bb0aa924626 · outbound

This paper cites an unresolved cited work.

Predicting Critical Transitions in Multiscale Dynamical Systems Using Reservoir Computing Unresolved cited work

Reference 2016

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:07:47.019214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:07:46.846034Z digest=sha256:4fa82852eac899a588ebe078fdcdbbefb045276559e0f8aa0cd612fedc80db92

Observation f6aa2dcf-ddba-4cfd-a885-0760fb5bdc12 · outbound

This paper cites B ECK, Brownian motion from deterministic dynamics, Physica A: Sta- tistical Mechanics and its Applications, 169 (1990), pp.

Predicting Critical Transitions in Multiscale Dynamical Systems Using Reservoir Computing B ECK, Brownian motion from deterministic dynamics, Physica A: Sta- tistical Mechanics and its Applications, 169 (1990), pp

Reference 2019

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:07:47.084213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:07:46.806902Z digest=sha256:13a4f5881b271c2daf31257efc7bf798ab35a39f445ff690dce63cf34df73d4e

Observation a80bb91a-ed99-4253-89e4-fdf06470ebff · outbound

This paper cites an unresolved cited work.

Predicting Critical Transitions in Multiscale Dynamical Systems Using Reservoir Computing Unresolved cited work

Reference 4950

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:07:46.990858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:07:46.859681Z digest=sha256:0978cbe58a1045d78e435c1db71824118baca282ee6d2f3cd410d8d60d81bbaf

Observation 3e601a2a-8d0c-4618-bda5-73cf3a7c82e9 · outbound

This paper cites G ASPARD , M.

Predicting Critical Transitions in Multiscale Dynamical Systems Using Reservoir Computing G ASPARD , M

Reference 5166

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:07:47.033091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:07:46.836890Z digest=sha256:08f9138847d94dfe5ed96f1feb52cb624a7e62a8238eb83f281654089c65e8fc

Pith citing papers

No inbound Pith citation observations are available.