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Paper Citation Record · LEDGER

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles

As of 8 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2506.07716.

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

pith.paper-citation-record.v1
2506.07716 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:40:47.447692Z

measured 34 of 34 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

34 of 34 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved25
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e3674c0b-2b9c-40f4-b485-dd31434e664d · outbound

This paper cites Immirzi, 1966.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Immirzi, 1966

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:40:47.809521Z

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.

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Observation b388fb46-c9cf-42ce-88df-cb0a1d29db10 · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.798369Z

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=2026-08-07T05:40:47.339322Z digest=sha256:cf3ca045c93b50ad6ff16b129609ff236c2023262d2abb0cdb6a37eb552209cf

Observation 861d328f-b5b0-400a-8a7b-7a1f4a10bac2 · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.786048Z

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=2026-08-07T05:40:47.343634Z digest=sha256:f6f6c20c7e66723b390d9cc068bb3793e4d63fd3dc30871d6317c86643c054ba

Observation 58938643-4157-4576-9c8e-261fd61f3002 · outbound

This paper cites Part I: Simplest case in R2, International Journal of Circuit Theory and Applications, 1991, 19(3): 251-307.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Part I: Simplest case in R2, International Journal of Circuit Theory and Applications, 1991, 19(3): 251-307

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:40:47.775550Z

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=2026-08-07T05:40:47.349608Z digest=sha256:e4cf3071b7fea60fde919129b6e374bd03140f01851bcc4175609e085edadef6

Observation 1902cb6f-16e9-409c-b859-7efc2b555119 · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.765470Z

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=2026-08-07T05:40:47.355110Z digest=sha256:abcaddf912122a0790827139550e54e6fc777333af1b403fb60cbb42cec99dee

Observation 5edb7d2b-1fa2-4bee-9038-2c142e61dfa5 · outbound

This paper cites Springer Berlin Heidelberg, 2013: 221-232.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Springer Berlin Heidelberg, 2013: 221-232

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:40:47.754679Z

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=2026-08-07T05:40:47.359358Z digest=sha256:72ef152a6fa637fc0fb717d5140351d9f2593856de58da06ea966de4416fc7fc

Observation 6d4dc661-7e92-40c2-8c0b-00efbe7024fc · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.743156Z

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=2026-08-07T05:40:47.363379Z digest=sha256:2dad12629ccf8d8717beb6915e582acb0464868a46807fe06b204cae326abe85

Observation 6beb7e21-8f3b-4a33-8bb7-845046681d83 · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.731938Z

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=2026-08-07T05:40:47.366497Z digest=sha256:9504c1a65e7357d3fd9af9c45e2ea94ea9b652b6409722950057399c115094cf

Observation 8be26f24-d928-4a33-ab71-9ac27ac7b2f3 · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.722247Z

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=2026-08-07T05:40:47.369472Z digest=sha256:9f2c6a7875334f80f1978a0dc7e02166e343ccae369e1c48ffe4e7088dc5696c

Observation e682f1de-d4b8-46d0-9bce-f75db874dbf4 · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.712556Z

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=2026-08-07T05:40:47.372823Z digest=sha256:865f7b1dc0b8ced6a79ae3d38529bea8958e4021c79fb514db2a5e1db7161ea0

Observation 1c4549f6-9ea0-4db3-a1de-a39e3b4ae050 · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.702838Z

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=2026-08-07T05:40:47.376042Z digest=sha256:1b35cb658c51e46be757a0ac1a8795c0fab29eb7f9b3eb65957d500d50c45b8d

Observation 96463727-d5ba-4216-a7cc-a808243101e8 · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.693375Z

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=2026-08-07T05:40:47.379765Z digest=sha256:5b35c5f29f7ad50c4970e5013cba654f1fbe623bce698e7c9811e7a38018da7f

Observation 5a072a81-bbaa-4982-8017-950f22de0f47 · outbound

This paper cites Ap- plication to the analysis of memristor oscillators, Nonlinear Analysis: Real World Applications, 2018, 43: 495-514.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Ap- plication to the analysis of memristor oscillators, Nonlinear Analysis: Real World Applications, 2018, 43: 495-514

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:40:47.683501Z

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=2026-08-07T05:40:47.383545Z digest=sha256:f3e106dd70ee3284bf2c1281f91471a63c100d9dc9f7513108f26f6e959b634e

Observation 5ec43742-1ac2-4809-81dd-74f3d317dac2 · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.673722Z

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=2026-08-07T05:40:47.386894Z digest=sha256:ea2777d4725d7c5066f8ad4c9b7f4f9ab26dce3e7c6e85f8a6d5bbf925ee9bc9

Observation acabf625-34ec-446a-8666-aaef56d33e7a · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.664613Z

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=2026-08-07T05:40:47.390115Z digest=sha256:cf63284f0664358ec51a390e65cfd14387429461fbee34d23fdca42f5e902b75

Observation f7600944-6aa8-4e51-b3aa-0684b191468e · outbound

This paper cites Dynamics of Continuous, Discrete and Impulsive Systems-series B: Applications and Algorithms, 2012, 19(3): 325-335.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Dynamics of Continuous, Discrete and Impulsive Systems-series B: Applications and Algorithms, 2012, 19(3): 325-335

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:40:47.655418Z

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=2026-08-07T05:40:47.392900Z digest=sha256:39e63428e91051f46a91881ba46409413726b685a746b957845b46b16eace1ff

Observation fcc8c6e6-3c96-48de-8445-0202691571a1 · outbound

This paper cites Discrete and Continuous Dynamical Systems, 2013, 33(9): 3915-3936.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Discrete and Continuous Dynamical Systems, 2013, 33(9): 3915-3936

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:40:47.645411Z

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=2026-08-07T05:40:47.395770Z digest=sha256:b654ed4d813b090c00eef35bf40adcbcc6757f991a927981ea5bf8e4ac596784

Observation eb6ede5f-cb85-4849-a6db-dad2ec39d3c8 · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.635085Z

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=2026-08-07T05:40:47.398890Z digest=sha256:28064e76b899eba68c049fad1454ed3d319c12784d782cfaf48aaf6bfb75a9b1

Observation 5d4762f3-5dcc-4dd6-a62d-1c346b493bf3 · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.625724Z

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=2026-08-07T05:40:47.401747Z digest=sha256:b4d251fcd0d9e041b9d3f0c5ef136d1625b2a92db6c43f7fb96085a004218b2b

Observation 14b8e1b3-cb6b-4ec4-a16b-d62500df950d · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.617360Z

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=2026-08-07T05:40:47.404630Z digest=sha256:4471324ec55212ad4a0eb15b92ad339f01cc3601800eb77a3607d56bffe79b60

Observation 33fa8f50-c771-48fa-ae59-3ecf61bc5f6e · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.609169Z

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=2026-08-07T05:40:47.407803Z digest=sha256:f7f1b1bc2cdf65a1cb32a3a4c50824eaf8e1f18301a148d9665e95e8e692049b

Observation 1b233495-9fef-475f-884b-ea4917d47eda · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.600250Z

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=2026-08-07T05:40:47.410893Z digest=sha256:0f9e1881a61633998e035b4ef7765101d8cb4ea9cfe9d09b0eb96151f960fcfe

Observation 0f0fa63c-371f-4614-b5fb-b45f1f501f57 · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.591949Z

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=2026-08-07T05:40:47.413787Z digest=sha256:bb0827eeed3905e095df67e0a4009078e006b61b0225da32da99b80781a9f7ea

Observation a4d03e1e-901b-4a03-96c4-ee19337ce871 · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.583634Z

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=2026-08-07T05:40:47.416747Z digest=sha256:81dc9babe46d4d25ee7e409749e5140f7f09282c104ca463eb61fbbde6cfe229

Observation b8e55066-fcaf-4fb4-9151-4660c64cd3f6 · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.574252Z

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=2026-08-07T05:40:47.419776Z digest=sha256:efb157e6da0c424153cf7093ea83fa9da4831ed4fb6d55ffa2d5af9c790c95cb

Observation 767052fb-e0ec-4291-82d5-ee6724054ec8 · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.564676Z

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=2026-08-07T05:40:47.422756Z digest=sha256:106a70fcb4b9013f2df9110c3ea57514b7fb8a187a36abb9296fb218a11cf89c

Observation 7c7df56d-2720-488d-8659-62571618ef69 · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.554856Z

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=2026-08-07T05:40:47.425705Z digest=sha256:1b74f632f0a26083e1d88cd4cea8456c5b35e713f9c844abc3d42a0308317075

Observation 38af2142-54e3-4a39-bf0b-48740b0d9c06 · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.544633Z

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=2026-08-07T05:40:47.428568Z digest=sha256:1616b1afb876fa8438694f976bbb8c6ce88fc1661a662d79cabdcdc3edf0ce81

Observation 3b01cace-8983-4015-840c-4e7514c0cb12 · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.534777Z

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=2026-08-07T05:40:47.432354Z digest=sha256:f18314c1de1c21ec0de72e45f9b23cdf6cb299641d3c64013c29b9680acd4b70

Observation c150b46f-42e3-4363-8c82-a5027bd9a68d · outbound

This paper cites The discontinuous planar piecewise linear systems with two improper nodes have at most one limit cycle, Nonlinear Analysis: Real World Applications, 2024, 80: 104180.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles The discontinuous planar piecewise linear systems with two improper nodes have at most one limit cycle, Nonlinear Analysis: Real World Applications, 2024, 80: 104180

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:40:47.523960Z

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=2026-08-07T05:40:47.435349Z digest=sha256:bb57043998444b15195b16990035ba3f2e0a67ed3656c5975ef2c3d3aef82dc7

Observation 9414f2a9-3fb8-499d-8599-2eeef0556f1b · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.512709Z

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=2026-08-07T05:40:47.438244Z digest=sha256:23335c5029b3ccb7e493b9237fd4b8b4a70f7a9c326eddca2a814308544afc8f

Observation 0ba62026-661d-4cdf-bc78-d915cc8171a9 · outbound

This paper cites an unresolved cited work.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:40:47.500608Z

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=2026-08-07T05:40:47.441513Z digest=sha256:1de1351df8aeeaea9277cf2968143fb1c0599e642e0b7c22c8d3586ac784583d

Observation b202f99b-6048-4e38-aee1-c976f0b97907 · outbound

This paper cites International Journal of Bifurcation and Chaos, 2018, 28(13): 1850166.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles International Journal of Bifurcation and Chaos, 2018, 28(13): 1850166

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:40:47.489272Z

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=2026-08-07T05:40:47.444578Z digest=sha256:af7951983473b2fcefc9263fa6d07127facc8b06eb59798fa2526044c396f837

Observation b0c7f17a-7720-4308-be87-be86f501381f · outbound

This paper cites Qualitative Theory of Dynamical Systems, 2020, 19(1): 1-22.

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles Qualitative Theory of Dynamical Systems, 2020, 19(1): 1-22

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:40:47.478910Z

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=2026-08-07T05:40:47.447692Z digest=sha256:d9d3dfd62a70efe45fb6d3b01eba70043e07597c6ad55b4ec841b9503333000e

Pith citing papers

No inbound Pith citation observations are available.