Paper Citation Record · LEDGER

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches

As of 21 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2505.17919.

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

pith.paper-citation-record.v1
2505.17919 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:41:34.168674Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

33 of 33 outbound references displayed

verified exact0
verified fuzzy22
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External citation measurements

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Outbound references

Observation f6c577a1-0946-42f4-a0b4-852888a339b6 · outbound

This paper cites Generalized scheme of the no-time-counter scheme for the dsmc in rarefied gas flow analysis.Computers & fluids, 22(2-3):253–257, 1993.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Generalized scheme of the no-time-counter scheme for the dsmc in rarefied gas flow analysis.Computers & fluids, 22(2-3):253–257, 1993

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:38.578308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6d1bd26c-456b-4901-98b2-9e6a14b91d61 · outbound

This paper cites Neural flows: Efficient alternative to neural odes.Advances in neural information processing systems, 34:21325–21337, 2021.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Neural flows: Efficient alternative to neural odes.Advances in neural information processing systems, 34:21325–21337, 2021

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:29.387459Z

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Unavailable: canonical work link unavailable.

Observation c6bb86de-7013-4209-90d5-2cfc7f6625a4 · outbound

This paper cites Approach to translational equilibrium in a rigid sphere gas.Phys.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Approach to translational equilibrium in a rigid sphere gas.Phys

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:38.322201Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9afdd19e-bb09-48a8-8fa2-8a458eef437b · outbound

This paper cites an unresolved cited work.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:38.110948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3c5f1ce7-6b78-40d4-9885-a4de5c4dd110 · outbound

This paper cites Bowman, Gabor Angeli, Christopher Potts, and Christopher D.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Bowman, Gabor Angeli, Christopher Potts, and Christopher D

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:37.931415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 80d82052-a0a8-4ee9-bd0c-d57a73e1271b · outbound

This paper cites Neural ordinary differential equations.Advances in neural information processing systems, 31, 2018.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Neural ordinary differential equations.Advances in neural information processing systems, 31, 2018

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:30.132358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 694f55f0-3480-4944-9a8d-dcb1ddabab65 · outbound

This paper cites Efficient and flexible method for reducing moderate-size deep neural networks with condensation.Entropy, 26(7):567, 2024.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Efficient and flexible method for reducing moderate-size deep neural networks with condensation.Entropy, 26(7):567, 2024

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:37.741291Z

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Observation b6c0e4f3-f7d4-4f6b-98d8-6b6596eb79fd · outbound

This paper cites Imagenet: A large- scale hierarchical image database.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Imagenet: A large- scale hierarchical image database

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:30.390804Z

Source-reported events for the cited work

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Observation cf0c5296-70d9-4d5e-8764-c149d92f98f3 · outbound

This paper cites Bert: Pre-training of deep bidirectional transformers for language understanding.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Bert: Pre-training of deep bidirectional transformers for language understanding

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:37.553053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 345a6b55-5080-46b1-9e09-5f4a2a3b1b32 · outbound

This paper cites Economon, Francisco Palacios, Sean R.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Economon, Francisco Palacios, Sean R

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:37.342151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b97722ab-3a5a-4666-bdfd-64f64166f2f9 · outbound

This paper cites Pde-gcn: Novel architectures for graph neural networks motivated by partial differential equations.Advances in neural information processing systems, 34:3836–3849, 2021.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Pde-gcn: Novel architectures for graph neural networks motivated by partial differential equations.Advances in neural information processing systems, 34:3836–3849, 2021

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:37.170382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 29230c23-d28f-45b7-a979-63b56a9038dd · outbound

This paper cites Hamiltonian neural networks.Advances in neural information processing systems, 32, 2019.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Hamiltonian neural networks.Advances in neural information processing systems, 32, 2019

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:31.022918Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cac588de-62ec-4eb8-b71d-0ac13b3ad1f6 · outbound

This paper cites Deep residual learning for image recognition.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Deep residual learning for image recognition

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:31.119805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f488eb2-2ca8-4e6c-b061-e627151beca8 · outbound

This paper cites Molecular dynamics simulation for all.Neuron, 99(6):1129–1143, 2018.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Molecular dynamics simulation for all.Neuron, 99(6):1129–1143, 2018

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:37.015889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f7bb6198-c624-4398-b1dc-0b6aa0e0defa · outbound

This paper cites Neural controlled differential equations for irregular time series.Advances in neural information processing systems, 33:6696– 6707, 2020.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Neural controlled differential equations for irregular time series.Advances in neural information processing systems, 33:6696– 6707, 2020

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:31.386681Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6622fe7d-20aa-4fb6-8090-2dd259dd0351 · outbound

This paper cites Transformer for partial differential equations’ operator learning, 2023.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Transformer for partial differential equations’ operator learning, 2023

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:36.828387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 90988771-55be-4fa9-a257-719f34e78611 · outbound

This paper cites Fourier neural operator for parametric partial differen- tial equations, 2021.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Fourier neural operator for parametric partial differen- tial equations, 2021

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:36.635185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7158dce6-d7e4-49d3-956f-6f8f963da0fe · outbound

This paper cites Dendritic integration inspired artificial neural networks capture data correlation.Advances in Neural Information Processing Systems, 37:79325–79349, 2024.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Dendritic integration inspired artificial neural networks capture data correlation.Advances in Neural Information Processing Systems, 37:79325–79349, 2024

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:36.475284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5048d7cf-612a-4fad-af92-1b53c1940158 · outbound

This paper cites Courier Corporation, 2004.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Courier Corporation, 2004

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:36.292750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e8dc424a-eefe-4449-8172-21bc237d3b3f · outbound

This paper cites Pde-net 2.0: Learning pdes from data with a numeric- symbolic hybrid deep network.Journal of Computational Physics, 399:108925, 2019.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Pde-net 2.0: Learning pdes from data with a numeric- symbolic hybrid deep network.Journal of Computational Physics, 399:108925, 2019

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:36.140637Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4ed94f83-6f4e-42f4-8354-2f6d7183798e · outbound

This paper cites Pde-net: Learning pdes from data.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Pde-net: Learning pdes from data

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:35.952697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 20356188-2be6-49df-9f75-61439b74a55b · outbound

This paper cites Maas, Raymond E.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Maas, Raymond E

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:35.780325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a01c6e79-e35e-437a-b0ee-16251ab07b47 · outbound

This paper cites Neural ode processes.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Neural ode processes

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:35.566048Z

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Observation 690e0980-5766-4d3d-b86b-3fb284c38a09 · outbound

This paper cites On second order behaviour in augmented neural odes.Advances in neural information processing systems, 33:5911–5921, 2020.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches On second order behaviour in augmented neural odes.Advances in neural information processing systems, 33:5911–5921, 2020

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:35.380986Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 88bb42d6-4305-45a3-b206-dc4b6cf07e7c · outbound

This paper cites Battaglia.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Battaglia

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:35.205345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d2f6f5a6-ea80-47ba-9fad-ea06a2813cc1 · outbound

This paper cites Latent ordinary differential equations for irregularly-sampled time series.Advances in neural information processing systems, 32, 2019.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Latent ordinary differential equations for irregularly-sampled time series.Advances in neural information processing systems, 32, 2019

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:33.116353Z

Source-reported events for the cited work

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Observation 748956d4-2b94-404b-b1d9-9186a3b4a98d · outbound

This paper cites Combinatorial optimization with physics-inspired graph neural networks.Nature Machine Intelligence, 4(4):367–377, 2022.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Combinatorial optimization with physics-inspired graph neural networks.Nature Machine Intelligence, 4(4):367–377, 2022

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:34.995417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 357d7999-0fa4-4cbf-b11c-3bb73496695a · outbound

This paper cites Hamiltonian Generative Networks.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Hamiltonian Generative Networks

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:33.400067Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b4192fc-dd5a-432f-b8ea-cfd88b33713b · outbound

This paper cites Attention is all you need.Advances in neural information processing systems, 30, 2017.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Attention is all you need.Advances in neural information processing systems, 30, 2017

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:33.607758Z

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Unavailable: canonical work link unavailable.

Observation 27eb286a-5626-40ff-9220-0a11cd576af1 · outbound

This paper cites Convection-diffusion equation: a theoret- ically certified framework for neural networks.IEEE Transactions on Pattern Analysis and Machine Intelligence, 2025.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Convection-diffusion equation: a theoret- ically certified framework for neural networks.IEEE Transactions on Pattern Analysis and Machine Intelligence, 2025

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:34.803781Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5f989c28-a3bb-48a3-a3d6-a1dcb8ddebd0 · outbound

This paper cites An overview of condensation phenomenon in deep learning.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches An overview of condensation phenomenon in deep learning

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:33.904594Z

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Unavailable: canonical work link unavailable.

Observation 5c3f32c0-8b48-4486-aeca-6b067fc29393 · outbound

This paper cites Embedding principle of loss landscape of deep neural networks.Advances in Neural Information Processing Systems, 34:14848–14859, 2021.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Embedding principle of loss landscape of deep neural networks.Advances in Neural Information Processing Systems, 34:14848–14859, 2021

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:34.617659Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f9fcb913-89b7-43e7-903b-7323283636f1 · outbound

This paper cites Towards understanding the condensation of neural networks at initial training.Advances in Neural Information Processing Systems, 35:2184–2196, 2022.

KITINet: Kinetics Theory Inspired Network Architectures with PDE Simulation Approaches Towards understanding the condensation of neural networks at initial training.Advances in Neural Information Processing Systems, 35:2184–2196, 2022

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:34.405227Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

No inbound Pith citation observations are available.