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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 22 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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.334631Z digest=sha256:8f071f1aa714720b662e9b336450db90bb45bf59696d0522608b866516bb4048

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.339322Z digest=sha256:58a8f07437a865ad705fe6900e4be0fc1bff7d6d29bd596e7f45be795c4d477f

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.343634Z digest=sha256:0572a241f6c2b831e73193d516eee3e0e077a9cfc9e56b1b917d8fcb1a795054

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.349608Z digest=sha256:95a1a96802debcf2e899762dedac456877395ca8982b43e94db056ee88cee4d5

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.355110Z digest=sha256:0eca699a6fc29fa85936be43afed4b4f97671fc49321aba85257a6559683d3d7

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.359358Z digest=sha256:2194f5b511202495eb27f14c6d0f23b64505f805f161d9523451bb2eb987d890

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.363379Z digest=sha256:56fdd333c40516dccf8dc55148c3854234d50e0e0236e0c9c7050f4fdcee6ed1

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.366497Z digest=sha256:24d35812f897ed02f10ae22f1b57bb5ec7a2f9a84adc220fa57ea43f4b76eef7

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.369472Z digest=sha256:ba7a78f7fa7a633827155b1a68a537b72b7707d935bd7a6d623e8735cbe80615

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.372823Z digest=sha256:5d86d4dfb5e158cf2d1fb4ef4a598ec8b928566233a28fd44b3ab58a3c72e020

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.376042Z digest=sha256:aed61d2d2eff2b6fc5da2f41bde960357f2a4a67e40682e0cac0b1348d6cf609

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.379765Z digest=sha256:8b02ac9da928b0de2d8fb0fff639d62cf5bb0fc2f9a2a97436266d7a48f2facc

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.383545Z digest=sha256:31beff7133b19231ce3322d298657de1bfe64ffed01299cb53326e8f6690b4aa

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.386894Z digest=sha256:22939033be68a78ca5603eafea4266ff48d4da3639b40baad20b9b7817c65df1

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.390115Z digest=sha256:b97da82e7649514256d143ce74ede0e4d2cd135a16a639e2200215464369eabb

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.392900Z digest=sha256:7afb7685e34586aa7de0b02de8577ffdd3943bba633fd6d94fd740c723343984

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.395770Z digest=sha256:259c5936f69634f2774865a8a95c1f8809ff21b71641e34633624f5257aea1c7

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.398890Z digest=sha256:8c1f6837503faf4f6c895e12e74e820794c37af85734dff1202475e3ff0f9b5b

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.401747Z digest=sha256:155a81956c9a98666f174a88cc7dc77376f7998e541a2c5268c9d1c1ad88590d

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.404630Z digest=sha256:a663c353124b46978349c4450a0b3a4cecf5df4225fed65f13dc92df0ec84206

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.407803Z digest=sha256:357a1144da2f774ed720cdb8f38cda710c3e86030068480224cf3f19c023f939

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.410893Z digest=sha256:edf3c944c0cb866e1d41b33d927bf1f74f2deaf5cd78c54d5899f5641a5bd12a

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.413787Z digest=sha256:96167b4bc7e2efd3393483ebedee3b2953be49b92dec233509ad86c8a06be3f5

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.416747Z digest=sha256:38f7b8922bca429cb968ebe3dbd96a2a201de02338ac14c204f34dac2d5b4765

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.419776Z digest=sha256:ee63948d703e152dc887f3e82a1969029ff2b1be804ca73f55c9971d65d6ea43

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.422756Z digest=sha256:f8687c61ecdfdb04962656f2901d29446a825eab198f52610dc7c12d22b4286b

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.425705Z digest=sha256:a2c701f78a95c51ce673fd43f4dada52b7d7e366258cdbed323eece26acf6b38

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.428568Z digest=sha256:2b492bf00ec05082bbafdeb52f0079ada1eeb316f4924d6a6e691500dbfe9d06

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.432354Z digest=sha256:6285a403bdf8de4af1d24022422dc88d7b5f24109dcf09a775eda8fde2c4a9c0

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.435349Z digest=sha256:d7dcf6ac0a1cea3d44c93ae823ff904f7d21d63a617e32ae1f5eb4c0942ffc7b

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.438244Z digest=sha256:56073a21ea42bd77f8664e47e7c86ffe9e5b5fd597a4e9fd59038987e1b56fe9

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.441513Z digest=sha256:92cc3fbf786bd0d6f5530899ea97c86e413747b7cb50d82d9f4a7e64f85fa998

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.444578Z digest=sha256:943a6294faa7abac79bb306769e4a3eec89237b1d60f5757c881a871b77aabe0

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T05:40:47.447692Z digest=sha256:aa570da5369193493fa9e17980fd576eec3c6375bf7b4640e7fa0c53c462cb0a

Pith citing papers

No inbound Pith citation observations are available.