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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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.334631Z digest=sha256:beecdcceb9cb3c6ab90eb8e521f7c6ab6439e2c85cf6107bc130fd18a2374139

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.339322Z digest=sha256:b123cd29c7e9f5f84e299b6d5322707ce5e0a3128d2092d9ed97ddcb18246c8f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.343634Z digest=sha256:2e60238bed5b08a1d4ab61852e875fa4232a83550df00f47a51de0d398aa5309

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.349608Z digest=sha256:7401348ca3737ae03e6247ffd4341f049d336ca00049aa6a3bce0099db12def2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.355110Z digest=sha256:5878d2cc17796d5623b98e87bb202d52629e9a49de8a0a4c60373bd635f88161

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.359358Z digest=sha256:4b90b49c625cc691b28f5ab07f65444269e67055798a0b9ff1d266add4518ba4

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.363379Z digest=sha256:612d82459aa56910be8a2d288e0331fa6504683d38a28906a79131661ab50010

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.366497Z digest=sha256:f7ce2d9ed93c494797d253ab096d11c1ea3892e4ed18c83508b5b41a52ebe04b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.369472Z digest=sha256:af815f6f413bc77a554ea2de4b9baddc653d2b9d4696e0dbdb5c67a21e90b56e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.372823Z digest=sha256:c8eee2fd2a9a662c818e32bef423bfeef1d0e10164848c5a0235d5426f1cc114

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.376042Z digest=sha256:0daeb1172990792e10f243f691518b4db0169264faaa8343e1f5cba38973f44f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.379765Z digest=sha256:e3f2f33d3529a57c75d0a674fd34e0e70c7eda0e3cb290b5982270be109f0f94

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.383545Z digest=sha256:7f735d5295ba8d4743c21856f75e52b27c55b55bf6b5ed30eaceb009422fa410

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.386894Z digest=sha256:112230d6e4e76f4cd82b8295c0bf73198b71028420534f0d929000b0cac8e986

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.390115Z digest=sha256:ac2bfb932265f9e7f6380850c04ffdd68d818c3c7b9c87e2ec92f1a0037137ac

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.392900Z digest=sha256:68768a699366a9bdc4706dfbcd685db95c577f8de08055b067e798640c1e6522

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.395770Z digest=sha256:7749f25917f6892038136e903857bdaeb28a9797b8c59b3a4e34f91b66fe36bd

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.398890Z digest=sha256:ee95651b9db294da688640e3ab92c15d9c8a2f437633fd3edfe50b1becfb158e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.401747Z digest=sha256:7c5d7000c69b59c1a7db067d7fd49d8efd18054b86cf0464fd3d3e19f5182aa6

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.404630Z digest=sha256:e004eda4d4e267882b892514d3680ad0be3c27ba2ed9f8afa070fe167c40bcc8

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.407803Z digest=sha256:c94b86cf628e96d07e9a4042ce7af82c81f3796ccf5548d638bb02cea170e044

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.410893Z digest=sha256:ff5e3460e86f61fdc619fd2aaa9656ff306f1c4d479fa07421d7bf3b7f29330f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.413787Z digest=sha256:a171eb8191dcb0659c415d6dbb3cdc96a7da5b05c6da0aacc2a812568bf83e1d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.416747Z digest=sha256:2a6245392bcd4af6c073119359fd0de2b09bafdc36c14d50029d25afbbe41821

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.419776Z digest=sha256:41ce46cd40903e9af55f35112cede592bec4b00653952f864dcf6fc86d9dc470

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.422756Z digest=sha256:67fa2a5cda1b838afeb60b9f7a870bdb022511a7e1d0e3ae7b23deb52b97cfaf

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.425705Z digest=sha256:301ebbab63630413b359cabc636e5654d1a531f33039394e956fde4ed4792612

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.428568Z digest=sha256:c9e5a7d1554ccaf452e8b30c6f7c674db82ef10df7fde03fc76ea8b28ad21958

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.432354Z digest=sha256:148aafbe953ba3c76a8014fa90aa386e011e9de1b40c4dadc89e1a2ff6e0e08f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.435349Z digest=sha256:348019c7a44592c4e58ab0bdf080f6d9140ba04f508ace5a19333949335a7ed2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.438244Z digest=sha256:794e6058b02f6319c9973592c0a1ddc11a56fa0e7661c761db3845f89d7845d7

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.441513Z digest=sha256:1f62c7eb3d8048e2bfab068b8b3cb5584d02fd1580128e07de473ffe73f3c9b2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.444578Z digest=sha256:bf84145045d6b9ac02c357203738f9ae5e446e0f643e729f901ddbd82aceedc0

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:40:47.447692Z digest=sha256:d891af421a6f8f1228d2e2eb80ed8b1a7ce46da1d1f7af10d3240a38e02c0de9

Pith citing papers

No inbound Pith citation observations are available.