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Paper Citation Record · LEDGER

The Extended Alpha Group Dynamic Mapping

As of 8 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2507.18303.

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

pith.paper-citation-record.v1
2507.18303 v2

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-19T02:51:37.827109Z

measured 37 of 37 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

37 of 37 outbound references displayed

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  • verified fuzzy27
  • unresolved5
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 82ed2e63-2e5a-42ac-b367-0c246386c905 · outbound

This paper cites an unresolved cited work.

The Extended Alpha Group Dynamic Mapping Unresolved cited work

Reference 1

Resolution
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Source-reported events for the cited work

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Observation 359fa091-8405-4514-81e3-faace8581792 · outbound

This paper cites Optimization of a Runge-Kutta 4th Order Method-based Airbrake Control System for High-Speed Vehicles Using Neural Networks.

The Extended Alpha Group Dynamic Mapping Optimization of a Runge-Kutta 4th Order Method-based Airbrake Control System for High-Speed Vehicles Using Neural Networks

Reference 2

Resolution
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Source-reported events for the cited work

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Observation c3082475-4514-4350-9b3f-7f148dca4466 · outbound

This paper cites Ordinary differential equations.

The Extended Alpha Group Dynamic Mapping Ordinary differential equations

Reference 3

Resolution
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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.

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Observation 19b439af-5388-4c2a-a0d8-f635c6f7016c · outbound

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The Extended Alpha Group Dynamic Mapping Unresolved cited work

Reference 4

Resolution
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Source-reported events for the cited work

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Observation 30915275-8bee-41bc-a4bb-2e49116b9dbe · outbound

This paper cites Visual analysis of nonlinear dynamical systems: chaos, frac- tals, self-similarity and the limits of prediction.Systems, v.

The Extended Alpha Group Dynamic Mapping Visual analysis of nonlinear dynamical systems: chaos, frac- tals, self-similarity and the limits of prediction.Systems, v

Reference 5

Resolution
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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.

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Observation 8511da6c-fa22-4da2-b16c-ca53d615af33 · outbound

This paper cites Detection of attraction domains of non-linear systems using bifurcation analysis and Lyapunov functions.In- ternational Journal of Control, v.

The Extended Alpha Group Dynamic Mapping Detection of attraction domains of non-linear systems using bifurcation analysis and Lyapunov functions.In- ternational Journal of Control, v

Reference 6

Resolution
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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.

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Observation c2000096-2bde-4974-b684-befed88c8ea4 · outbound

This paper cites Poincaré maps for detecting chaos in fractional-order systems with hidden attractors for its Kaplan-Yorke di- mension optimization.AIMS Math, v.

The Extended Alpha Group Dynamic Mapping Poincaré maps for detecting chaos in fractional-order systems with hidden attractors for its Kaplan-Yorke di- mension optimization.AIMS Math, v

Reference 7

Resolution
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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.

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Observation 04314bb8-8f7a-40ce-bbc2-0a1e95e58015 · outbound

This paper cites Propos- ing the Alpha Group.International Journal for Research in Engineering Application & Management (IJREAM).

The Extended Alpha Group Dynamic Mapping Propos- ing the Alpha Group.International Journal for Research in Engineering Application & Management (IJREAM)

Reference 8

Resolution
verified exact
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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.

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Observation 806e60d1-1200-4af8-9b0a-0857fb8aa852 · outbound

This paper cites The Alpha Group Tensorial Metric.Revista Brasileira de História da Matemática – (RBHM).

The Extended Alpha Group Dynamic Mapping The Alpha Group Tensorial Metric.Revista Brasileira de História da Matemática – (RBHM)

Reference 9

Resolution
verified fuzzy
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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.

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Observation 31472bb0-eb3d-45a0-9fcb-ed25f3bee832 · outbound

This paper cites Division as a radial vector relation- ship – Alpha group.Studies in Engineering and Exact Sciences, v.

The Extended Alpha Group Dynamic Mapping Division as a radial vector relation- ship – Alpha group.Studies in Engineering and Exact Sciences, v

Reference 10

Resolution
verified exact
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Source-reported events for the cited work

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Observation 6280c885-67f0-4df1-86f5-7248151f8b72 · outbound

This paper cites Hybrid symbolic-numeric framework for power system modeling and analysis.

The Extended Alpha Group Dynamic Mapping Hybrid symbolic-numeric framework for power system modeling and analysis

Reference 11

Resolution
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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.

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Observation 14d3af4d-af3b-46fc-a16a-cd5c9b53de3d · outbound

This paper cites APLI- CAÇÕES DE SISTEMAS DINÂMICOS COM PYTHON EM ECONO- MIA: UMA SIMULAÇÃO NUMÉRICA DE INFLAÇÃO X DESEM- PREGO COM RUNGE-KUTTA12.

The Extended Alpha Group Dynamic Mapping APLI- CAÇÕES DE SISTEMAS DINÂMICOS COM PYTHON EM ECONO- MIA: UMA SIMULAÇÃO NUMÉRICA DE INFLAÇÃO X DESEM- PREGO COM RUNGE-KUTTA12

Reference 12

Resolution
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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.

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Observation 5455b959-3506-43e2-b293-4e159af62e14 · outbound

This paper cites PySINDy: A Python package for the Sparse Identification of Nonlinear Dynamics from Data.

The Extended Alpha Group Dynamic Mapping PySINDy: A Python package for the Sparse Identification of Nonlinear Dynamics from Data

Reference 13

Resolution
verified exact
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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.

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Observation 116adaa2-8d80-4037-9a54-cb3f52c4ab12 · outbound

This paper cites an unresolved cited work.

The Extended Alpha Group Dynamic Mapping Unresolved cited work

Reference 14

Resolution
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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.

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Observation a77f5419-9c08-4310-991d-372ad906261d · outbound

This paper cites Courier Dover Publications.

The Extended Alpha Group Dynamic Mapping Courier Dover Publications

Reference 15

Resolution
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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.

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Observation 599dd704-66e0-486d-9939-d1fe565641a3 · outbound

This paper cites Courier Corporation.

The Extended Alpha Group Dynamic Mapping Courier Corporation

Reference 16

Resolution
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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.

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Observation 1c995918-d7a0-4b18-8c7a-6aed91e02211 · outbound

This paper cites New York, US: Springer International Publishing AG.

The Extended Alpha Group Dynamic Mapping New York, US: Springer International Publishing AG

Reference 17

Resolution
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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.

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Observation 506f4140-2edf-4d53-ae71-32820e53e5bc · outbound

This paper cites Array programming with NumPy.Nature, v.

The Extended Alpha Group Dynamic Mapping Array programming with NumPy.Nature, v

Reference 18

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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.

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Observation 02748143-340f-4fa5-b82c-1df71a46921d · outbound

This paper cites Academic Press.

The Extended Alpha Group Dynamic Mapping Academic Press

Reference 19

Resolution
verified fuzzy
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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.

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Observation 1ace9b69-37c2-451e-b46d-59ca99be32fd · outbound

This paper cites Learning differential equations that are easy to solve.

The Extended Alpha Group Dynamic Mapping Learning differential equations that are easy to solve

Reference 20

Resolution
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Source-reported events for the cited work

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Observation 79d682b0-86d0-4345-bb76-7f5c2611b818 · outbound

This paper cites An introduction to lattice gauge theory and spin systems.

The Extended Alpha Group Dynamic Mapping An introduction to lattice gauge theory and spin systems

Reference 21

Resolution
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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.

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Observation d6fbcccd-bf67-438d-a8db-df7ff2083ca3 · outbound

This paper cites an unresolved cited work.

The Extended Alpha Group Dynamic Mapping Unresolved cited work

Reference 22

Resolution
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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.

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Observation fe7da064-bd5c-4c10-9dbd-9cf48486877c · outbound

This paper cites Extended dynamic mode decomposition for two paradigms of non-linear dynamical systems.

The Extended Alpha Group Dynamic Mapping Extended dynamic mode decomposition for two paradigms of non-linear dynamical systems

Reference 23

Resolution
verified fuzzy
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Source-reported events for the cited work

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Observation 471341aa-170f-4ad6-9533-01ac3059a50b · outbound

This paper cites USA: Trelgol Publishing.

The Extended Alpha Group Dynamic Mapping USA: Trelgol Publishing

Reference 24

Resolution
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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.

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Observation a7be5259-053d-4e07-b994-efcc9205cda2 · outbound

This paper cites Gauge theory: Historical origins and some modern developments.Reviews of Modern Physics, v.

The Extended Alpha Group Dynamic Mapping Gauge theory: Historical origins and some modern developments.Reviews of Modern Physics, v

Reference 25

Resolution
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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.

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Observation 0682af36-eab1-41c5-9649-40afa8899a85 · outbound

This paper cites an unresolved cited work.

The Extended Alpha Group Dynamic Mapping Unresolved cited work

Reference 26

Resolution
unresolved
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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.

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Observation 48fb518b-4a54-4aca-bf88-e2b0b77e2272 · outbound

This paper cites Program Design and Implementation of Y Class Matrix Eigenvalue Based on Python Language.

The Extended Alpha Group Dynamic Mapping Program Design and Implementation of Y Class Matrix Eigenvalue Based on Python Language

Reference 27

Resolution
verified fuzzy
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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.

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Observation 84b4473f-6f4a-4216-aa46-dd70d8d2cfa9 · outbound

This paper cites CRC Press.

The Extended Alpha Group Dynamic Mapping CRC Press

Reference 28

Resolution
verified fuzzy
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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.

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Observation 4bb293b1-2099-44d0-8ecc-2789aeacab04 · outbound

This paper cites Lattice gauge theories: an introduction.

The Extended Alpha Group Dynamic Mapping Lattice gauge theories: an introduction

Reference 29

Resolution
verified fuzzy
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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.

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Observation 0e5b782e-fdc5-4e55-b2d9-89596851a3d7 · outbound

This paper cites Gauge unification of fundamental forces.Reviews of Modern Physics, v.

The Extended Alpha Group Dynamic Mapping Gauge unification of fundamental forces.Reviews of Modern Physics, v

Reference 30

Resolution
verified fuzzy
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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.

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Observation 9dc179f4-86ba-4768-94b8-41f6e3ba29bd · outbound

This paper cites Poincaré maps: a modern systematic approach toward obtaining effective sections.Nonlinear Dynamics, v.

The Extended Alpha Group Dynamic Mapping Poincaré maps: a modern systematic approach toward obtaining effective sections.Nonlinear Dynamics, v

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T02:52:00.680295Z

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.

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Observation b9d75763-4a80-4aea-b3e5-a9eadd4fa191 · outbound

This paper cites Existence of periodic so- lutions to quaternion-valued impulsive differential equations.Qualitative Theory of Dynamical Systems, v.

The Extended Alpha Group Dynamic Mapping Existence of periodic so- lutions to quaternion-valued impulsive differential equations.Qualitative Theory of Dynamical Systems, v

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T02:52:00.683656Z

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.

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Observation cfa35345-5ae7-4bc2-be07-47f1b3551a71 · outbound

This paper cites CRC Press.

The Extended Alpha Group Dynamic Mapping CRC Press

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T02:52:00.696571Z

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.

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Observation 21921141-b75b-4265-b465-4e4e518f7ab3 · outbound

This paper cites Gauge theories.Gauge Theories in the Twentieth Century, p.

The Extended Alpha Group Dynamic Mapping Gauge theories.Gauge Theories in the Twentieth Century, p

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T02:52:00.658380Z

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.

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Observation 8005f4b9-58d0-4b15-a393-01de840d6f96 · outbound

This paper cites Conformal field the- ory on the universal family of stable curves with gauge symmetries.

The Extended Alpha Group Dynamic Mapping Conformal field the- ory on the universal family of stable curves with gauge symmetries

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T02:52:00.651714Z

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=2026-05-19T02:51:37.827109Z digest=sha256:6995d3cd7fb3efad6f07853139c857e2ee80eb3c185170f6b51daec55fde5a97

Observation 681c5f7d-de93-4274-bb2f-58020713528d · outbound

This paper cites Dynamics at infinity and a Hopf bifurcation arising in a quadratic system with coexisting attractors.Pramana, v.

The Extended Alpha Group Dynamic Mapping Dynamics at infinity and a Hopf bifurcation arising in a quadratic system with coexisting attractors.Pramana, v

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T02:52:00.641643Z

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=2026-05-19T02:51:37.827109Z digest=sha256:823098b04b94832e747a5b4240f0165372948ce523bca6d95e67b24d4c619294

Observation 41261605-6788-4022-9126-ba46ed529f97 · outbound

This paper cites Handbook of differential equa- tions.

The Extended Alpha Group Dynamic Mapping Handbook of differential equa- tions

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T02:52:00.635766Z

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=2026-05-19T02:51:37.827109Z digest=sha256:b57f2b00e692ca4c5418df403a957b1231fa445ca4c173e6fe249e2d935e60d2

Pith citing papers

No inbound Pith citation observations are available.