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Paper Citation Record · LEDGER

Introduction to nonlinear discrete systems: Theory and modeling

As of 16 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:1908.01497.

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

pith.paper-citation-record.v1
1908.01497 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:22:10.376351Z

measured 40 of 40 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

40 of 40 outbound references displayed

  • verified exact0
  • verified fuzzy7
  • unresolved33
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 09de949b-46a8-4bd6-a76e-9cd13485cb8d · outbound

This paper cites Each site is characterized by some varia bles, so that at a given time these variables specify a state of the system.

Introduction to nonlinear discrete systems: Theory and modeling Each site is characterized by some varia bles, so that at a given time these variables specify a state of the system

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:10.891816Z

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 7dfa3954-67d0-4204-8ac1-969d3052844f · outbound

This paper cites Plane waves For discrete systems, it is instructive to start the analysis from a p lane wave solution.

Introduction to nonlinear discrete systems: Theory and modeling Plane waves For discrete systems, it is instructive to start the analysis from a p lane wave solution

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:10.878627Z

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 2eaa5253-e6b1-44a3-b860-611b4bca2971 · outbound

This paper cites The aim of the problems is t o help a deeper understanding of the methods reviewed in this paper, and a lso to develop skills in working with Mathematica program in Appendix A.

Introduction to nonlinear discrete systems: Theory and modeling The aim of the problems is t o help a deeper understanding of the methods reviewed in this paper, and a lso to develop skills in working with Mathematica program in Appendix A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:10.865680Z

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 187a26aa-c011-4335-ab32-3e86d683cf34 · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.852238Z

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 20fdaeae-acc8-4e31-a61f-839fbe429d64 · outbound

This paper cites }; eqn= I*u[k]’[t] + β*(u[k+1][t]+u[k-1][t]) + γ*(u[k][t])∧ 2*Conjugate[u[k][t]].

Introduction to nonlinear discrete systems: Theory and modeling }; eqn= I*u[k]’[t] + β*(u[k+1][t]+u[k-1][t]) + γ*(u[k][t])∧ 2*Conjugate[u[k][t]]

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:10.840849Z

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 31229f42-f2fd-43da-b224-c9656e5a549f · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.827962Z

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 66d9d24b-adcb-4256-be10-d7bd914db4a0 · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.813979Z

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=2026-08-14T15:22:10.239168Z digest=sha256:e6c2b5a1ea5f78f1b673940718e4d279b224cabcd5d87d991c30f327d8667ba3

Observation f2b97d7f-f768-4935-a6bc-9240f2cae72c · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.801096Z

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=2026-08-14T15:22:10.243467Z digest=sha256:875b136774ec8bf9ebf50b252a0fb7803929db2e9d267c6499316a69da985529

Observation 153d4976-ba81-4f54-a097-f58bfc604eaa · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.787992Z

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 06cbf409-e33f-4ebe-8e16-3d342636c520 · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.775338Z

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 86b23f27-93ec-46a8-af8b-0ffd15b32560 · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.761994Z

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 821a769f-7e21-41be-bc6d-3e4e0c4c5317 · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.749893Z

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 bdd00c50-95ff-408e-9681-df9dfc9557da · outbound

This paper cites standard.

Introduction to nonlinear discrete systems: Theory and modeling standard

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:10.737883Z

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 8f2cb7a2-be0e-4935-b74c-b1e4ed76b679 · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.726521Z

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 d197af38-48d6-431a-a36f-9cbf12475ae0 · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.715073Z

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 d1c0e521-9cd7-4fca-be7d-cc2b43f03301 · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.701895Z

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 9a723662-a707-45ad-8d53-e13f8674e1ae · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.690656Z

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 c62133ab-f3e7-4d4a-bfbc-27cf0be159cb · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.679531Z

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 84f1b470-5684-4132-b6ba-ef000fb793bd · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.667251Z

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 f722c79b-82f5-428f-8078-a134a1942d3c · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.654315Z

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 2c88cb85-f6ad-4664-8fe2-dd788ab3c28c · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.642581Z

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 90085383-d957-4e59-bf6f-5e7bf1ac435e · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.630506Z

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 de470f6a-c3cd-47c6-8e29-4e103079a6f8 · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.619005Z

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 5eb50f34-59d2-42fb-bcbc-ba878de82271 · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.606636Z

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 f960a8e2-0eb2-4d54-a07e-72aedfbf84c9 · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.594995Z

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=2026-08-14T15:22:10.314822Z digest=sha256:9b243d3189caddac214fdf78553e352d03c5395df9668e2e816b3ea6ae2ee1c0

Observation 22f8d25d-190d-422b-988f-8c912d53497c · outbound

This paper cites (Cambridge Univ.

Introduction to nonlinear discrete systems: Theory and modeling (Cambridge Univ

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:10.582995Z

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 81dbc953-2aaa-4a67-ab2e-c313cdd450c5 · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.570059Z

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 9a3ca9b6-3f0e-44ab-8dfa-22e39381b5c3 · outbound

This paper cites n” that refers to n-th step of the Mathematica code in Appendix.

Introduction to nonlinear discrete systems: Theory and modeling n” that refers to n-th step of the Mathematica code in Appendix

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:22:10.558245Z

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 73c4ab53-0946-41f4-8570-1674af5e7af7 · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.546298Z

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 631f9bb0-2b53-40a0-9e61-9730a6a00dfc · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.533836Z

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 59af335c-d329-4e32-be09-71ac5c17e98f · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.521820Z

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 5235bd65-72c5-438d-adf2-025545bab07a · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.510426Z

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=2026-08-14T15:22:10.344344Z digest=sha256:df0f24cbddd6c72a0f2ab57193ed15bd2a56494a962501e53cdfc347c1d63f92

Observation ffb34048-9824-4982-a9f6-371bfcef93db · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.498270Z

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=2026-08-14T15:22:10.347951Z digest=sha256:932eac798dadf1510668d83a9550857f4045c866b3ecd39407548e8b997e6858

Observation b6c2f29c-29c6-410e-a057-4940c1502765 · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.485299Z

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=2026-08-14T15:22:10.351693Z digest=sha256:02805635a12f6c14a539c24a5e1a8a00430dba71f10615976d90a9e48d206210

Observation 4954bedf-dcf6-4626-8cf6-399693355f96 · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.472185Z

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=2026-08-14T15:22:10.356506Z digest=sha256:40afdf3fd078a4cb0b5016731f3d447a3af8bbb8f717e99c15d9b9dc1374fd17

Observation 51d5ef16-6e77-4bb9-83cf-0d87b71d74ec · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.459883Z

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=2026-08-14T15:22:10.360250Z digest=sha256:eefcc14dd4143e4f0b87ef8377c48b0a053855d11db68ff270e203dbaf70d5f2

Observation 61bd6ac3-ecb0-49f0-927d-76b929d2288b · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.447958Z

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=2026-08-14T15:22:10.364312Z digest=sha256:4cd943b7d4097de8620c009876542746611e76e365b04cf155e11edde9abf587

Observation 99c2bf04-c98e-4d3d-831a-7a88d82dddb5 · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.435825Z

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=2026-08-14T15:22:10.368626Z digest=sha256:8880e72b6157ed02d37b10534e9139972809bd00049f9c8607eb4ce3db45eb08

Observation e837ecbf-ccbf-40e2-befb-545344f6bba7 · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.423288Z

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=2026-08-14T15:22:10.372732Z digest=sha256:5021f278433ee4af9b1bb0e114e2e690ee41fcad9908d162ba0b0e6c7803ad1c

Observation 89f68a81-bc1f-4c01-94ac-c65e1bfe25f2 · outbound

This paper cites an unresolved cited work.

Introduction to nonlinear discrete systems: Theory and modeling Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:22:10.410237Z

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=2026-08-14T15:22:10.376351Z digest=sha256:6da9f17f403915ee1d64a3b95883af6a31525919c3b7cf32a11b56426f9fdf3f

Pith citing papers

No inbound Pith citation observations are available.