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Paper Citation Record · LEDGER

Minimal Deterministic Echo State Networks Outperform Random Reservoirs in Learning Chaotic Dynamics

As of 13 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2507.06050.

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

pith.paper-citation-record.v1
2507.06050 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:17:57.817047Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:17:56.835972Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T19:17:58.054684Z

Reference resolution

13 of 13 outbound references displayed

  • verified exact1
  • verified fuzzy4
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9794c505-801e-4b0f-91cd-3e56d3fc6060 · outbound

This paper cites an unresolved cited work.

Minimal Deterministic Echo State Networks Outperform Random Reservoirs in Learning Chaotic Dynamics Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:17:58.208573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:17:56.936784Z digest=sha256:ef35122e3de9498ecec79c580eda9b5e01e40e5290f5ce549a50670913aa1831

Observation df39f319-6852-4e1d-9ac7-b192ca96da1a · outbound

This paper cites an unresolved cited work.

Minimal Deterministic Echo State Networks Outperform Random Reservoirs in Learning Chaotic Dynamics Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:17:58.192793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:17:57.062534Z digest=sha256:14a2fb57c98c31a63e18c9bf065b48a12b0c051296518b76d6f4d54d7804276d

Observation 4606214c-4a8b-484c-9de8-b77dfd750e3f · outbound

This paper cites an unresolved cited work.

Minimal Deterministic Echo State Networks Outperform Random Reservoirs in Learning Chaotic Dynamics Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:17:58.178614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:17:57.148750Z digest=sha256:c8b3f7ed12dd082ac339a589e2c693f0dfbb0e51b678ccfc3ca4e7c389dbc9d3

Observation d5414de0-3669-4548-8efe-a2fd6fa26f64 · outbound

This paper cites Cycle weights are Wi+1,i = r and W1,N = r.

Minimal Deterministic Echo State Networks Outperform Random Reservoirs in Learning Chaotic Dynamics Cycle weights are Wi+1,i = r and W1,N = r

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:17:58.163936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:17:57.190062Z digest=sha256:5f3e3d8ef8e9b72c72ec4e1d7f958afa4aa72ac1d1129a75477e54761bf96f07

Observation e8d96997-9146-47a5-94fe-5eb33e33aee0 · outbound

This paper cites Nonzero weights are Wi+1,i = r, W1,N = r, and Wi,i = ll.

Minimal Deterministic Echo State Networks Outperform Random Reservoirs in Learning Chaotic Dynamics Nonzero weights are Wi+1,i = r, W1,N = r, and Wi,i = ll

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:17:58.149168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:17:57.331574Z digest=sha256:890e5201c54b1792346f0c234dabf48f2dc888a161804f35abf6dcf714431aee

Observation 9cd409cb-84f4-4ce7-8baf-f166f2f94ad7 · outbound

This paper cites an unresolved cited work.

Minimal Deterministic Echo State Networks Outperform Random Reservoirs in Learning Chaotic Dynamics Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:17:58.134159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:17:57.398680Z digest=sha256:973ae7a0c140cdf899cb53de4a8d937f473f8c3fe578d22002d5209044726fec

Observation 72ff1d61-1fbd-4c53-8716-ed007a33101b · outbound

This paper cites an unresolved cited work.

Minimal Deterministic Echo State Networks Outperform Random Reservoirs in Learning Chaotic Dynamics Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:17:58.120276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:17:57.515458Z digest=sha256:ccbfab91b34bf5494063d7b4e097ea562ca093660864f2c0fc90bb88a8adf35e

Observation f605bb06-cc5b-4dc2-a72d-b551836939be · outbound

This paper cites an unresolved cited work.

Minimal Deterministic Echo State Networks Outperform Random Reservoirs in Learning Chaotic Dynamics Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:17:58.106291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:17:57.581014Z digest=sha256:07a9ca982616035d2d3187a5996b248b8a1209185f2605b92bb6723e7d44b3b9

Observation ab82b287-c382-4732-bf7c-d750f8d5aeb9 · outbound

This paper cites an unresolved cited work.

Minimal Deterministic Echo State Networks Outperform Random Reservoirs in Learning Chaotic Dynamics Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:17:58.092029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:17:57.662808Z digest=sha256:d92889ba663c9548e61eb63e44c5d569ea47677224214d2099853c3393fb1e03

Observation c80dd2d1-eba5-47ac-b29a-70e8a00324de · outbound

This paper cites That is, Wi+1,i = r and Wi,i+1 = r, plus the wrap-around connections W1,N = r and WN,1 = r.

Minimal Deterministic Echo State Networks Outperform Random Reservoirs in Learning Chaotic Dynamics That is, Wi+1,i = r and Wi,i+1 = r, plus the wrap-around connections W1,N = r and WN,1 = r

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:17:58.076922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:17:57.780473Z digest=sha256:1ce4fa3532791b9b8e5d68ca20b448bda8f1770bc8403536188622d2923eaf16

Observation db60b1eb-2b5f-489b-9dfd-82e8011c441c · outbound

This paper cites The resulting high-dimensional represen- tations, called states, are then used to train only the output layer, usually through linear regression27.

Minimal Deterministic Echo State Networks Outperform Random Reservoirs in Learning Chaotic Dynamics The resulting high-dimensional represen- tations, called states, are then used to train only the output layer, usually through linear regression27

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:17:58.223028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:17:56.776101Z digest=sha256:dda15623a6d4bee3aea1c5a45410b4836d8d237ae427af8208fc081cf7be79e3

Observation 2b3ce78c-6731-4fa5-a882-0279c9020e30 · outbound

This paper cites Minimal Deterministic Echo State Networks Outperform Random Reservoirs in Learning Chaotic Dynamics.

Minimal Deterministic Echo State Networks Outperform Random Reservoirs in Learning Chaotic Dynamics Minimal Deterministic Echo State Networks Outperform Random Reservoirs in Learning Chaotic Dynamics

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:17:58.061478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:17:56.835972Z digest=sha256:d46dc4b36d632d7a7b37533c3185a73ae11bf58ea9689849b1d7d7b359086d88

Observation 0e32fd2f-ffcb-4936-8131-db9d5e81721a · outbound

This paper cites optimization.

Minimal Deterministic Echo State Networks Outperform Random Reservoirs in Learning Chaotic Dynamics optimization

Reference 68

Resolution
unresolved
no resolver link, observed 2026-08-06T19:17:57.817047Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:17:57.817047Z digest=sha256:e8a229a01ea6522b12bd6c23c13fc9167e9f55bf585f03cf31a24ffdcbe64105

Pith citing papers

Observation 2b3ce78c-6731-4fa5-a882-0279c9020e30 · inbound

Minimal Deterministic Echo State Networks Outperform Random Reservoirs in Learning Chaotic Dynamics cites this paper.

Minimal Deterministic Echo State Networks Outperform Random Reservoirs in Learning Chaotic Dynamics Minimal Deterministic Echo State Networks Outperform Random Reservoirs in Learning Chaotic Dynamics

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:17:58.061478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:17:56.835972Z digest=sha256:d46dc4b36d632d7a7b37533c3185a73ae11bf58ea9689849b1d7d7b359086d88