Paper Citation Record · LEDGER

Proper Orthogonal Decomposition-based Model-Order Reduction for Smoothed Particle Hydrodynamics Simulation -- Mass-Spring-Damper System

As of 9 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2508.00335.

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

pith.paper-citation-record.v1
2508.00335 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T10:18:34.684997Z

measured 23 of 23 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

23 of 23 outbound references displayed

verified exact1
verified fuzzy21
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bcc374bc-7673-41a9-9527-d35a45cd6e4f · outbound

This paper cites A survey of projection-based model reduction methods for parametric dynamical systems.

Proper Orthogonal Decomposition-based Model-Order Reduction for Smoothed Particle Hydrodynamics Simulation -- Mass-Spring-Damper System A survey of projection-based model reduction methods for parametric dynamical systems

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:18:39.041659Z

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.

Observation 7fe76340-50be-49dc-b341-ba37d06fcd3e · outbound

This paper cites The proper orthogonal decomposition in the analysis of turbulent flows.

Proper Orthogonal Decomposition-based Model-Order Reduction for Smoothed Particle Hydrodynamics Simulation -- Mass-Spring-Damper System The proper orthogonal decomposition in the analysis of turbulent flows

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:18:38.831981Z

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.

Observation f1942e7c-25a4-4206-9db4-8c2c85394b82 · outbound

This paper cites Machine learning and reduced order computation of a friction stir welding model.

Proper Orthogonal Decomposition-based Model-Order Reduction for Smoothed Particle Hydrodynamics Simulation -- Mass-Spring-Damper System Machine learning and reduced order computation of a friction stir welding model

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:18:38.614583Z

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.

Observation 457f0bf5-95fc-4197-8c07-93b9dacf49c5 · outbound

This paper cites Galerkin v.

Proper Orthogonal Decomposition-based Model-Order Reduction for Smoothed Particle Hydrodynamics Simulation -- Mass-Spring-Damper System Galerkin v

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:18:38.357532Z

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.

Observation 1e28c5a8-ebed-4aaf-85bc-75400e5289a1 · outbound

This paper cites Efficient non-linear model re- duction via a least-squares petrov–galerkin projection and compressive tensor approxima- tions.

Proper Orthogonal Decomposition-based Model-Order Reduction for Smoothed Particle Hydrodynamics Simulation -- Mass-Spring-Damper System Efficient non-linear model re- duction via a least-squares petrov–galerkin projection and compressive tensor approxima- tions

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:18:38.181837Z

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.

Observation 38093be1-e887-4528-aecb-fdfd6c5d0ff4 · outbound

This paper cites An introduction to the proper orthogonal decomposition.

Proper Orthogonal Decomposition-based Model-Order Reduction for Smoothed Particle Hydrodynamics Simulation -- Mass-Spring-Damper System An introduction to the proper orthogonal decomposition

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:18:37.984747Z

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.

Observation 91c887f9-4f92-467b-98fd-65caf2d2dc7c · outbound

This paper cites Space–time least-squares petrov–galerkin projection for nonlinear model reduction.

Proper Orthogonal Decomposition-based Model-Order Reduction for Smoothed Particle Hydrodynamics Simulation -- Mass-Spring-Damper System Space–time least-squares petrov–galerkin projection for nonlinear model reduction

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:18:37.729999Z

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.

Observation 419fe5d2-edbf-4067-a17f-f292647cd2b7 · outbound

This paper cites Reduced order models for lagrangian hydrodynamics.

Proper Orthogonal Decomposition-based Model-Order Reduction for Smoothed Particle Hydrodynamics Simulation -- Mass-Spring-Damper System Reduced order models for lagrangian hydrodynamics

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T10:18:33.123195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67b1a485-7fd4-4c91-b725-1b5168312223 · outbound

This paper cites Feasibility analysis of a pod-based reduced or- der model with application in eulerian–lagrangian simulations.

Proper Orthogonal Decomposition-based Model-Order Reduction for Smoothed Particle Hydrodynamics Simulation -- Mass-Spring-Damper System Feasibility analysis of a pod-based reduced or- der model with application in eulerian–lagrangian simulations

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:18:37.532406Z

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.

Observation e1e05d9c-c6e9-422c-85df-e6b64c45a291 · outbound

This paper cites Proper orthogonal decomposition-based model-order reduction for smoothed particle hydrodynamics simulation.

Proper Orthogonal Decomposition-based Model-Order Reduction for Smoothed Particle Hydrodynamics Simulation -- Mass-Spring-Damper System Proper orthogonal decomposition-based model-order reduction for smoothed particle hydrodynamics simulation

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:18:37.359841Z

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.

Observation 8a365ca5-82d4-4ada-8651-92bce8444626 · outbound

This paper cites Robust and Efficient Meshfree Solid Thermo-Mechanics Simulation of Friction Stir Welding.

Proper Orthogonal Decomposition-based Model-Order Reduction for Smoothed Particle Hydrodynamics Simulation -- Mass-Spring-Damper System Robust and Efficient Meshfree Solid Thermo-Mechanics Simulation of Friction Stir Welding

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:18:37.160847Z

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.

Observation 2f7dc373-1978-4d4a-835f-6de2595930d1 · outbound

This paper cites The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: An overview.

Proper Orthogonal Decomposition-based Model-Order Reduction for Smoothed Particle Hydrodynamics Simulation -- Mass-Spring-Damper System The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: An overview

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:18:36.963809Z

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.

Observation e3759b0a-ebcc-423d-97a2-db158a03b6b6 · outbound

This paper cites Model order re- duction in fluid dynamics: Challenges and perspectives.

Proper Orthogonal Decomposition-based Model-Order Reduction for Smoothed Particle Hydrodynamics Simulation -- Mass-Spring-Damper System Model order re- duction in fluid dynamics: Challenges and perspectives

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:18:36.790462Z

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.

Observation 17a24cb5-e12b-45bf-b45f-a8c7f5c8261a · outbound

This paper cites Smoothed particle hydrodynamics (sph): An overview and recent developments.

Proper Orthogonal Decomposition-based Model-Order Reduction for Smoothed Particle Hydrodynamics Simulation -- Mass-Spring-Damper System Smoothed particle hydrodynamics (sph): An overview and recent developments

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:18:36.599771Z

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.

Observation 57e900fa-b3df-483f-9bb8-de49f7811cc5 · outbound

This paper cites Reduced-order modeling: New ap- proaches for computational physics.

Proper Orthogonal Decomposition-based Model-Order Reduction for Smoothed Particle Hydrodynamics Simulation -- Mass-Spring-Damper System Reduced-order modeling: New ap- proaches for computational physics

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:18:36.398500Z

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.

Observation 3522df74-62c8-485d-b11c-db845ad49005 · outbound

This paper cites Lagrangian-to-eulerian mapping for modal decomposition of mul- tiphase flows via smoothed-particle hydrodynamics.

Proper Orthogonal Decomposition-based Model-Order Reduction for Smoothed Particle Hydrodynamics Simulation -- Mass-Spring-Damper System Lagrangian-to-eulerian mapping for modal decomposition of mul- tiphase flows via smoothed-particle hydrodynamics

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:18:36.227989Z

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.

Observation 9b513d6f-8e3c-452f-8053-0c518de8f014 · outbound

This paper cites Lagrangian basis method for dimensionality reduction of convection dominated nonlinear flows.

Proper Orthogonal Decomposition-based Model-Order Reduction for Smoothed Particle Hydrodynamics Simulation -- Mass-Spring-Damper System Lagrangian basis method for dimensionality reduction of convection dominated nonlinear flows

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-06T10:18:34.870386Z

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.

Observation 927e0e04-a7b4-48b6-b1ae-add4b1eb9d18 · outbound

This paper cites Smoothed particle hydrodynamics.

Proper Orthogonal Decomposition-based Model-Order Reduction for Smoothed Particle Hydrodynamics Simulation -- Mass-Spring-Damper System Smoothed particle hydrodynamics

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:18:36.071103Z

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.

Observation 58a53f71-5bb8-408c-96e3-192f003352b5 · outbound

This paper cites Smoothed particle hydrodynamics.

Proper Orthogonal Decomposition-based Model-Order Reduction for Smoothed Particle Hydrodynamics Simulation -- Mass-Spring-Damper System Smoothed particle hydrodynamics

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:18:35.902326Z

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.

Observation 846d1af4-8f8c-4455-8e9d-b7d0968ab1e1 · outbound

This paper cites Dynamic data-driven reduced-order models.

Proper Orthogonal Decomposition-based Model-Order Reduction for Smoothed Particle Hydrodynamics Simulation -- Mass-Spring-Damper System Dynamic data-driven reduced-order models

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:18:35.732038Z

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.

Observation fc330f50-915c-42b1-8459-180e29d1defb · outbound

This paper cites Reduced order models based on local pod plus galerkin projection.

Proper Orthogonal Decomposition-based Model-Order Reduction for Smoothed Particle Hydrodynamics Simulation -- Mass-Spring-Damper System Reduced order models based on local pod plus galerkin projection

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:18:35.486467Z

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.

Observation 6ee5e88c-016f-415b-8106-5f54e3e12fd9 · outbound

This paper cites Model reduction for com- pressible flows using pod and galerkin projection.

Proper Orthogonal Decomposition-based Model-Order Reduction for Smoothed Particle Hydrodynamics Simulation -- Mass-Spring-Damper System Model reduction for com- pressible flows using pod and galerkin projection

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:18:35.295162Z

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.

Observation e9ca62fc-4bdf-48b7-93c3-24322168bbe0 · outbound

This paper cites Modal analysis of fluid flows: An overview.

Proper Orthogonal Decomposition-based Model-Order Reduction for Smoothed Particle Hydrodynamics Simulation -- Mass-Spring-Damper System Modal analysis of fluid flows: An overview

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:18:35.090613Z

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.

Pith citing papers

No inbound Pith citation observations are available.