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Paper Citation Record · LEDGER

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

As of 18 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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T19:17:56.936784Z digest=sha256:1c4f801070d82f31b389816a053735087755975df2ab0c9daa96f316aedf6c48

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T19:17:57.062534Z digest=sha256:e03c7b95b1094f2dc01ee6c9aded077f0694e8697618dd3b29c9799b6f1e8e68

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T19:17:57.148750Z digest=sha256:f41b05ee1bbabe44b5e2feb511c704c6bcb45242e96be3e9f300a9f1cb970d85

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T19:17:57.190062Z digest=sha256:b828f64f1d374f77bfaced4fa73119bac9e160a35435bb45d92adce0aa3f38ca

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T19:17:57.331574Z digest=sha256:36b926f43afef39b68e4b9f3402b92b5305b5bf2962d38ca3d03593e3e0b8f61

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T19:17:57.398680Z digest=sha256:71ad427a271ab436ced8aa43827dc2a3a16892de4c7ee86f042b3cfbd04132ed

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T19:17:57.515458Z digest=sha256:911bb88018377adf195cbc0051626e159ca390ec58739e248502dbf800b2c42f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T19:17:57.581014Z digest=sha256:358ac1400d74162f5f52edd682c1c218ea1c0c2fcd0800ce6f2cdf74d88fdedb

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T19:17:57.662808Z digest=sha256:d67d41ab60718c4d3fd3079cc90c2b6228665db36c5ff92f291340ddf307c89f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T19:17:57.780473Z digest=sha256:645ec23478b878a75febf783f29713339fb1ae52fe4772113681c4c37d7d96f2

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T19:17:56.776101Z digest=sha256:8c5a970b992fd0449aadff5f61925b94e10407deb01b8e04fffc50d06e152b26

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T19:17:56.835972Z digest=sha256:1c1540af66f52e1cec1ff7a197977fa66db1620fdc2d53f4ae5582839591af0a

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=sha256:7a361a282ac8a43eea02203c21534eb5a7770270b49fb8ea5d51c4bbff97b8ff

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T19:17:56.835972Z digest=sha256:1c1540af66f52e1cec1ff7a197977fa66db1620fdc2d53f4ae5582839591af0a