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Paper Citation Record · LEDGER

Shadowing in CR-Dynamical Systems

As of 8 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2505.23089.

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

pith.paper-citation-record.v1
2505.23089 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:13:26.493054Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

35 of 35 outbound references displayed

  • verified exact6
  • verified fuzzy24
  • unresolved4
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c63caca4-4fb6-40ad-8f29-f933e338834d · outbound

This paper cites Weak forms of shadowing and stability for set-valued maps.

Shadowing in CR-Dynamical Systems Weak forms of shadowing and stability for set-valued maps

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:13:36.052326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:23.328763Z digest=sha256:3c283d2a79326f08e5c249664b52d7ba7bdb2d100558e150fd620687de3701ca

Observation 93abd436-72b0-46c6-9e76-69931a3d43c3 · outbound

This paper cites Some variations of transitivity for cr-dynamical systems.

Shadowing in CR-Dynamical Systems Some variations of transitivity for cr-dynamical systems

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:13:35.780003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:23.431370Z digest=sha256:f477ab731d8b265b8e934cab98071bfd461159a02c0eb1cb51bcf81572a56831

Observation 734215a6-5618-4eea-ad9a-f11752595fba · outbound

This paper cites Aggarwal.

Shadowing in CR-Dynamical Systems Aggarwal

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:13:35.514790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:23.566865Z digest=sha256:bb6b640cb594e7b43cecdf8a5f7ca542c42515ebebbfa7b2ef4b3eb87c040276

Observation 99dc1d4c-7198-4466-808a-31ff7517ba76 · outbound

This paper cites Topological chain and shad- owing properties of dynamical systems on uniform spaces.

Shadowing in CR-Dynamical Systems Topological chain and shad- owing properties of dynamical systems on uniform spaces

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:13:35.308436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:23.684765Z digest=sha256:806151250304d86789dcf9e81e291c52f774ee3c907e368579c7ee3c08c1af76

Observation 7ee24845-b6aa-4703-8981-69e67cf46c2a · outbound

This paper cites an unresolved cited work.

Shadowing in CR-Dynamical Systems Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:13:35.165912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:23.741338Z digest=sha256:54c21a16f18a1789e1c6ae2b713cdbe91b57bcafaad8b247e477b383d786a8e0

Observation ddf1af06-76ac-4860-9de1-adfcc6d8aced · outbound

This paper cites Some properties of dynamical systems having shadowing.

Shadowing in CR-Dynamical Systems Some properties of dynamical systems having shadowing

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:13:34.996384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:23.822094Z digest=sha256:a738e37ab979000b830eb35565ee920cf67824ffce3a88b62c4bcf1641c283f0

Observation 30802f10-d077-4aab-a59b-7b317e14f028 · outbound

This paper cites Transitive points in cr- dynamical systems.

Shadowing in CR-Dynamical Systems Transitive points in cr- dynamical systems

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:13:34.795229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:23.907678Z digest=sha256:2a04f1ecfb778ccb9bacfd958ba848beef32eb880c87ee20e500724fa04b7931

Observation e53aaf83-19d8-45ac-9625-9189ab26aaf2 · outbound

This paper cites Minimal dynamical systems with closed relations.

Shadowing in CR-Dynamical Systems Minimal dynamical systems with closed relations

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:13:27.967613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:23.961902Z digest=sha256:17f4691656faafa7dca952ad0b35d84a6a1f753d3da2f87bdca87a2b0cf7eecf

Observation dd7f811e-f577-4c88-8d4b-526860c501ee · outbound

This paper cites an unresolved cited work.

Shadowing in CR-Dynamical Systems Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:13:34.462245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:24.048962Z digest=sha256:7766431ccd5919922ab4b24c90afb94f021cd6202a004993f4fb99343782c8d3

Observation 8a675a1b-8ca5-43bf-bdb9-f01367964382 · outbound

This paper cites Introduction to Dynamical Systems.

Shadowing in CR-Dynamical Systems Introduction to Dynamical Systems

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:13:34.252414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:24.138674Z digest=sha256:68ded3843f556512823af084d46c73e254f062f4591d6dd142be2f4f81953e59

Observation b1ba3f31-3daa-4685-874d-0a377556d70a · outbound

This paper cites Shadowing property for inverse limit spaces.

Shadowing in CR-Dynamical Systems Shadowing property for inverse limit spaces

Reference 11

Resolution
verified exact
raw_fallback, observed 2026-08-07T13:13:27.733589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:24.240642Z digest=sha256:d0f5fc0d1f61beafe5cdc9ba2965a4f89dda84997caa6f781f05e91fa08c1a65

Observation 44a4ed42-de05-4d5e-9cd2-3818896a7301 · outbound

This paper cites Christiano and Sharon G.

Shadowing in CR-Dynamical Systems Christiano and Sharon G

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:13:33.989062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:24.319861Z digest=sha256:ec0e7f9dff7bf9365d55a1054a7fe45bee2f0eb45860b36a9231a452a8944caa

Observation c5511378-1f57-40eb-8052-17c1208ab8c0 · outbound

This paper cites Spectral decomposition for topologically anosov homeomorphisms on noncompact and non-metrizable spaces.

Shadowing in CR-Dynamical Systems Spectral decomposition for topologically anosov homeomorphisms on noncompact and non-metrizable spaces

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:13:33.754204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:24.412182Z digest=sha256:6a769f335e10ef5615e4c0460bef1c613c2bd6a7883569a1e3a86590ab8441f8

Observation 4f0db107-6731-4070-a2fb-9e78f214eecd · outbound

This paper cites General Topology.

Shadowing in CR-Dynamical Systems General Topology

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:13:33.561914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:24.488178Z digest=sha256:c5109870eafd8fff94c9b92c3d0a4f58e91f1cb49b1d037b3abbb662adeefd56

Observation 2abd7755-3e37-4c97-aa5b-f002c4deb8e3 · outbound

This paper cites an unresolved cited work.

Shadowing in CR-Dynamical Systems Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:13:33.379158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:24.603635Z digest=sha256:1d9abec5bd8d9b05500d877bb03960f490ea5d817c8981f44ed9e7a024558d8d

Observation 42741e68-2867-4afd-97fc-8aab26d0b90b · outbound

This paper cites Completeness and Completion.

Shadowing in CR-Dynamical Systems Completeness and Completion

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:13:33.182669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:24.671503Z digest=sha256:e61add2dc9003f6fbef7166cd3e576a3084c10105defd0fb1e80a7a34773021e

Observation fc91f2e9-59d6-4d03-b481-5cbf8fdc11f7 · outbound

This paper cites Specification properties in cr-dynamical systems.

Shadowing in CR-Dynamical Systems Specification properties in cr-dynamical systems

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:13:32.284617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:24.826555Z digest=sha256:777b9f8b43371c009ced1a19bae0ba6b3a6d4662586c7a5a023a225ffa7a95a0

Observation 950b5519-795d-476b-a928-3682319dd6e9 · outbound

This paper cites General topology.

Shadowing in CR-Dynamical Systems General topology

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:13:31.310908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:24.940604Z digest=sha256:43fcd5a51d85bc9b8037e09eaa14cc2fbf29fa64c93c1aa794aef02cb40452a6

Observation 2c4da64a-c4c1-4784-a1ee-df35aedbb05b · outbound

This paper cites Rigorous proof of chaotic behaviour in a dumbbell satellite model.

Shadowing in CR-Dynamical Systems Rigorous proof of chaotic behaviour in a dumbbell satellite model

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:13:30.963325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:25.008336Z digest=sha256:9e1a8d2ed25bcec3db421761110a78c41d8e066324d9c814a64b1f6ec25dc0d7

Observation 7fdc1ca8-3fc4-45fb-b28a-3e8de630e467 · outbound

This paper cites Possible chaotic motion of comets in the sun–jupiter sys- tem—a computer-assisted approach based on shadowing.

Shadowing in CR-Dynamical Systems Possible chaotic motion of comets in the sun–jupiter sys- tem—a computer-assisted approach based on shadowing

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:13:30.786072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:25.070016Z digest=sha256:c136c0df6c52a27262a0d363f94cc922fa296432aee5d6c935526e1eb02a0e34

Observation 522c8ffa-c602-4ba0-96ac-0be95a1cd3aa · outbound

This paper cites A note on the average shadowing property for expansive maps.

Shadowing in CR-Dynamical Systems A note on the average shadowing property for expansive maps

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:13:30.353900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:25.174208Z digest=sha256:329628cfed97464b6d78f437c9ae00d6cff315d89c0a27fc573258ce8b638648

Observation d754baf8-5253-4608-b03e-aabb208691e4 · outbound

This paper cites Luo, X.F.

Shadowing in CR-Dynamical Systems Luo, X.F

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:13:30.121052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:25.288628Z digest=sha256:6a05900dfdaf93089d10baee2b8473d3a40ac5eafc636dee34404bb6ec721e36

Observation d2502db8-0897-4ba6-9045-705370de5652 · outbound

This paper cites Recurrence, rigidity, and shadowing in dynamical systems.

Shadowing in CR-Dynamical Systems Recurrence, rigidity, and shadowing in dynamical systems

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:13:29.971556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:25.366362Z digest=sha256:de0ccfe02670b3ed9fa8d3de33f4a33498f81fbd0130bb63aca50c5aea171c1e

Observation 2128d9b0-7e7b-40b5-8042-75f9277eacff · outbound

This paper cites Shifts of finite type as fundamental objects in the theory of shadowing.

Shadowing in CR-Dynamical Systems Shifts of finite type as fundamental objects in the theory of shadowing

Reference 24

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T13:13:29.788509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:25.444953Z digest=sha256:2f9f308a3e14ee7d995e7e4150a7588e57933c731fdce25400e3517f77878e73

Observation 13e33f5e-7d53-490d-b0eb-7261466cea6b · outbound

This paper cites Pilyugin and Janosch Rieger.

Shadowing in CR-Dynamical Systems Pilyugin and Janosch Rieger

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:13:29.499060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:25.611526Z digest=sha256:81995ae1906f61d7299cbf797aa55c7652da6249da62a827b6430e4e1bd226d0

Observation 0e882574-9879-4565-92ef-6fe7c6f472c5 · outbound

This paper cites The specification property on a set-valued map and its inverse limit.

Shadowing in CR-Dynamical Systems The specification property on a set-valued map and its inverse limit

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:13:27.394538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:25.688174Z digest=sha256:7387aaedcc06f2b3b3af1686aab3db57b80456c0f725cde788d0a09b6cd047e3

Observation ebd0bcc0-cd64-42b8-8312-bb4ccc426b60 · outbound

This paper cites an unresolved cited work.

Shadowing in CR-Dynamical Systems Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:13:29.307484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:25.822817Z digest=sha256:977e175311fe4823a59a28bcdb0ddf331d0abd00a8880f416b893706d605893d

Observation 64bf809a-6a0d-4fab-ae51-8ab4c468911e · outbound

This paper cites Verification of chaotic behaviour in the planar restricted three body problem.

Shadowing in CR-Dynamical Systems Verification of chaotic behaviour in the planar restricted three body problem

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:13:29.095262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:25.970868Z digest=sha256:62c6bd81be398ea4e7e0615133e1d7db82b7cee58366ee1838f6f1ee7c3e3bc0

Observation 11a07096-3cff-41e2-a7f1-2aab7d3e6601 · outbound

This paper cites Rigorous verification of chaotic behaviour of maps using validated shadowing.

Shadowing in CR-Dynamical Systems Rigorous verification of chaotic behaviour of maps using validated shadowing

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:13:28.928704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:26.108997Z digest=sha256:843d8c56181bbb44b30affa202f88624b552a8403e4b90fde0d519b46aaaa9e3

Observation 1b0bfc29-765d-4bb6-af22-7fb327ad7e01 · outbound

This paper cites On the pseudo orbit tracing property and its relationship to stability , pages 231–244.

Shadowing in CR-Dynamical Systems On the pseudo orbit tracing property and its relationship to stability , pages 231–244

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:13:28.757520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:26.206754Z digest=sha256:e86301b3bac108436c896e2651077a4353a35cf8b794836021de07de26958447

Observation 43176d02-8a2c-4515-882a-5a5e10a66e9b · outbound

This paper cites On the eventual shadowing property and eventually shadowable points for set-valued dynamical systems.

Shadowing in CR-Dynamical Systems On the eventual shadowing property and eventually shadowable points for set-valued dynamical systems

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:13:28.533543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:26.289453Z digest=sha256:52b6ccc762927ae27ce41c0409e8e13529c8c03907c5fed89ede24a733befdad

Observation 66b5273f-131f-4c82-be41-b82320eb9f48 · outbound

This paper cites Finite type as fundamental objects even non-single-valued and non-continuous,.

Shadowing in CR-Dynamical Systems Finite type as fundamental objects even non-single-valued and non-continuous,

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:13:28.298948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:26.352424Z digest=sha256:00fb32c4ca820774c5245801d1582fed8738023274818bcf023588f525b481fe

Observation 17f87485-d4cb-4db0-a046-c134e3610ad1 · outbound

This paper cites Shadowing property for set-valued map and its inverse limit.

Shadowing in CR-Dynamical Systems Shadowing property for set-valued map and its inverse limit

Reference 33

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:13:26.646689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:26.493054Z digest=sha256:0a938353de31b8d577f5da0aace37bb5f0d63aa9da515e3d9f04fe4535dc6341

Observation 9a7bd842-1976-493e-8e5c-2e9dfb9e23f6 · outbound

This paper cites Some Variations of Transitivity for CR-dynamical systems.

Shadowing in CR-Dynamical Systems Some Variations of Transitivity for CR-dynamical systems

Reference 2023

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:13:28.089439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:23.509624Z digest=sha256:b92e1e8168418567f4ef08795d6ca848325076c16be612dadfe2693dad38f497

Observation 097524e6-9f37-4a36-b881-80faebdb014a · outbound

This paper cites an unresolved cited work.

Shadowing in CR-Dynamical Systems Unresolved cited work

Reference 2024

Resolution
verified exact
raw_fallback, observed 2026-08-07T13:13:27.179080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:13:26.412610Z digest=sha256:47d8bb6811e7cc5d56095ced3374a7ecab426f5852cae2e7337c15b08020617a

Pith citing papers

No inbound Pith citation observations are available.