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Paper Citation Record · LEDGER

Hierarchical Implicit Neural Emulators

As of 11 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2506.04528.

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

pith.paper-citation-record.v1
2506.04528 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

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One-hop event checks from named stored sources.

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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

52 of 52 outbound references displayed

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External citation measurements

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Outbound references

Observation 8d7ee510-7770-478a-84ef-165a2e977625 · outbound

This paper cites FourCastNet: A Global Data-driven High-resolution Weather Model using Adaptive Fourier Neural Operators.

Hierarchical Implicit Neural Emulators FourCastNet: A Global Data-driven High-resolution Weather Model using Adaptive Fourier Neural Operators

Reference 1

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Observation ed6859de-ffd6-45a7-9dd5-a67c1ee0aedc · outbound

This paper cites Embed and Emulate: Contrastive representations for simulation-based inference.

Hierarchical Implicit Neural Emulators Embed and Emulate: Contrastive representations for simulation-based inference

Reference 2

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Observation 4cc12825-62e1-4fdf-a46f-54fb27436bab · outbound

This paper cites Learning skillful medium-range global weather forecasting.Science, 382(6677):1416–1421, 2023.

Hierarchical Implicit Neural Emulators Learning skillful medium-range global weather forecasting.Science, 382(6677):1416–1421, 2023

Reference 3

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Observation 5c973957-5acc-4c39-8e66-7bd54e0ca7ed · outbound

This paper cites Neural general circulation models for weather and climate.Nature, 632(8027):1060–1066, 2024.

Hierarchical Implicit Neural Emulators Neural general circulation models for weather and climate.Nature, 632(8027):1060–1066, 2024

Reference 4

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Observation 1c3427e8-d82f-4a58-a09f-5dd16d2d7b14 · outbound

This paper cites ACE: A fast, skillful learned global atmospheric model for climate prediction.

Hierarchical Implicit Neural Emulators ACE: A fast, skillful learned global atmospheric model for climate prediction

Reference 5

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Observation fa4ab04d-0742-4a24-b177-3db03a77003d · outbound

This paper cites Owen, Mordechai Kornbluth, and Boris Kozinsky.

Hierarchical Implicit Neural Emulators Owen, Mordechai Kornbluth, and Boris Kozinsky

Reference 6

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Observation 4b969319-e331-42fe-936c-158851dc7e4c · outbound

This paper cites An overview about neural networks potentials in molecular dynamics simulation.International Journal of Quantum Chemistry, 124(11):e27389, 2024.

Hierarchical Implicit Neural Emulators An overview about neural networks potentials in molecular dynamics simulation.International Journal of Quantum Chemistry, 124(11):e27389, 2024

Reference 7

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Source-reported events for the cited work

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Observation 03dd5e56-f94e-4b7b-a038-4c5c470c7781 · outbound

This paper cites Neural network and nearest neighbor algorithms for enhancing sampling of molecular dynamics.Journal of chemical theory and computation, 13(6):2489–2500, 2017.

Hierarchical Implicit Neural Emulators Neural network and nearest neighbor algorithms for enhancing sampling of molecular dynamics.Journal of chemical theory and computation, 13(6):2489–2500, 2017

Reference 8

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Observation 906f7aa1-6fb5-43bf-a3c6-fd36e844c781 · outbound

This paper cites Field-level neural network emulator for cosmological n-body simulations.The Astrophysical Journal, 952(2):145, 2023.

Hierarchical Implicit Neural Emulators Field-level neural network emulator for cosmological n-body simulations.The Astrophysical Journal, 952(2):145, 2023

Reference 9

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Observation cb253ce4-387e-4264-92cc-7f611615662f · outbound

This paper cites Simple lessons from complex learning: what a neural network model learns about cosmic structure formation.PNAS nexus, 2(4):pgac250, 2023.

Hierarchical Implicit Neural Emulators Simple lessons from complex learning: what a neural network model learns about cosmic structure formation.PNAS nexus, 2(4):pgac250, 2023

Reference 10

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Observation 20dc1ca8-4303-4bcc-bca5-82cb838e82e3 · outbound

This paper cites Learning to predict the cosmological structure formation.Proceedings of the National Academy of Sciences, 116(28):13825–13832, 2019.

Hierarchical Implicit Neural Emulators Learning to predict the cosmological structure formation.Proceedings of the National Academy of Sciences, 116(28):13825–13832, 2019

Reference 11

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Observation d9a1c012-cb71-408c-b364-eab11fa8c133 · outbound

This paper cites When are dynamical systems learned from time series data statistically accurate?.

Hierarchical Implicit Neural Emulators When are dynamical systems learned from time series data statistically accurate?

Reference 12

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Observation 07c16dae-eb08-412e-9ecf-1ba3e358d85d · outbound

This paper cites On some limitations of current machine learning weather prediction models.

Hierarchical Implicit Neural Emulators On some limitations of current machine learning weather prediction models

Reference 13

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Observation e5acd101-3a51-4b6a-9e61-5b30322f0d5c · outbound

This paper cites Challenges of learning multi-scale dynamics with AI weather models: Implications for stability and one solution.

Hierarchical Implicit Neural Emulators Challenges of learning multi-scale dynamics with AI weather models: Implications for stability and one solution

Reference 14

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Observation 33313dc4-96d0-46e6-be60-85d33b187a01 · outbound

This paper cites Machine learning for climate physics and simulations.Annual Review of Condensed Matter Physics, 16, 2024.

Hierarchical Implicit Neural Emulators Machine learning for climate physics and simulations.Annual Review of Condensed Matter Physics, 16, 2024

Reference 15

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Observation 7969eeee-2e15-42cd-98f4-8b88c3baff25 · outbound

This paper cites A comparison of data-driven approaches to build low-dimensional ocean models.Journal of Advances in Modeling Earth Systems, 13(9):e2021MS002537, 2021.

Hierarchical Implicit Neural Emulators A comparison of data-driven approaches to build low-dimensional ocean models.Journal of Advances in Modeling Earth Systems, 13(9):e2021MS002537, 2021

Reference 16

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Observation ffd09525-c517-4e21-9ff6-33ddd0f0ce21 · outbound

This paper cites Towards Multi-spatiotemporal-scale Generalized PDE Modeling.

Hierarchical Implicit Neural Emulators Towards Multi-spatiotemporal-scale Generalized PDE Modeling

Reference 17

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Observation 60625166-1fff-44c9-a90f-b3833ece7540 · outbound

This paper cites Message Passing Neural PDE Solvers.

Hierarchical Implicit Neural Emulators Message Passing Neural PDE Solvers

Reference 18

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Observation 502710f3-0888-41d6-acfd-4d2732bb1907 · outbound

This paper cites Pdebench: An extensive benchmark for scientific machine learning,.

Hierarchical Implicit Neural Emulators Pdebench: An extensive benchmark for scientific machine learning,

Reference 19

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation d2322a6f-22af-4223-9fef-074014a9be48 · outbound

This paper cites Dyffusion: A dynamics-informed diffusion model for spatiotemporal forecasting.Advances in neural information processing systems, 36:45259–45287, 2023.

Hierarchical Implicit Neural Emulators Dyffusion: A dynamics-informed diffusion model for spatiotemporal forecasting.Advances in neural information processing systems, 36:45259–45287, 2023

Reference 20

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Observation bccd5f23-7bbd-4355-a139-d088bcbf63f5 · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

Hierarchical Implicit Neural Emulators Fourier Neural Operator for Parametric Partial Differential Equations

Reference 21

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Observation c6961fa7-98b2-49c9-8d6d-ddcae4854825 · outbound

This paper cites Wavelet neural operator: a neural operator for parametric partial differential equations.

Hierarchical Implicit Neural Emulators Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 22

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Observation a7650d89-b46e-4b80-8296-a89f4d311bde · outbound

This paper cites Wavelet Diffusion Neural Operator.

Hierarchical Implicit Neural Emulators Wavelet Diffusion Neural Operator

Reference 23

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Observation 81e033a6-4a8c-442a-a275-6cf498ced0bb · outbound

This paper cites Learning chaotic dynamics in dissipative systems.

Hierarchical Implicit Neural Emulators Learning chaotic dynamics in dissipative systems

Reference 24

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Observation 1eea7e0a-74bd-49e2-8f4a-662873a8cdbc · outbound

This paper cites Lu, Elena Orlova, and Rebecca Willett.

Hierarchical Implicit Neural Emulators Lu, Elena Orlova, and Rebecca Willett

Reference 25

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 2d287471-dfbd-45f3-996f-9c424a8c0056 · outbound

This paper cites Unconditional convergence of the euler semi-implicit scheme for the three-dimensional incompressible mhd equations.IMA Journal of Numerical Analysis, 35(2):767–801, 2015.

Hierarchical Implicit Neural Emulators Unconditional convergence of the euler semi-implicit scheme for the three-dimensional incompressible mhd equations.IMA Journal of Numerical Analysis, 35(2):767–801, 2015

Reference 26

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Observation 8011814a-3afe-467e-83df-9e98f41dad88 · outbound

This paper cites U-Net: Convolutional networks for biomedical image segmentation.

Hierarchical Implicit Neural Emulators U-Net: Convolutional networks for biomedical image segmentation

Reference 27

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Observation aec9c72e-680b-42fb-9552-eaa13b5d1e68 · outbound

This paper cites Feature pyramid networks for object detection.

Hierarchical Implicit Neural Emulators Feature pyramid networks for object detection

Reference 28

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Unavailable: canonical work link unavailable.

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Observation 453b31ee-38b3-4371-ab0f-27c659c763d3 · outbound

This paper cites Multiscale vision transformers.

Hierarchical Implicit Neural Emulators Multiscale vision transformers

Reference 29

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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This paper cites Progressive multigrid eigensolvers for multiscale spectral segmenta- tion.

Hierarchical Implicit Neural Emulators Progressive multigrid eigensolvers for multiscale spectral segmenta- tion

Reference 30

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Source-reported events for the cited work

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Observation 0f75fd71-67ab-48c1-bf6e-3e23c3f39b6a · outbound

This paper cites Multigrid neural architectures.

Hierarchical Implicit Neural Emulators Multigrid neural architectures

Reference 31

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Source-reported events for the cited work

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This paper cites an unresolved cited work.

Hierarchical Implicit Neural Emulators Unresolved cited work

Reference 32

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Observation 6e5c2a8d-cd23-4797-bde9-998424ddbce2 · outbound

This paper cites NVAE: A deep hierarchical variational autoencoder.Advances in neural information processing systems, 33:19667–19679, 2020.

Hierarchical Implicit Neural Emulators NVAE: A deep hierarchical variational autoencoder.Advances in neural information processing systems, 33:19667–19679, 2020

Reference 33

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 71682fa6-9c91-4efa-97a0-1b2aa6766bce · outbound

This paper cites Nested Diffusion Models Using Hierarchical Latent Priors.

Hierarchical Implicit Neural Emulators Nested Diffusion Models Using Hierarchical Latent Priors

Reference 34

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 4c16f774-8528-4e1b-b890-c988886419b5 · outbound

This paper cites GenCast: Diffusion-based ensemble forecasting for medium-range weather.

Hierarchical Implicit Neural Emulators GenCast: Diffusion-based ensemble forecasting for medium-range weather

Reference 35

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Observation ae190ebb-bb58-4165-9790-1316c70fda30 · outbound

This paper cites DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators.

Hierarchical Implicit Neural Emulators DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-07T10:45:39.838313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:45:39.838313Z digest=sha256:71facfe3cb774bd10bb5d45e919b5519553798859dd41e1ac433c033de2e5457

Observation 373d163b-13bd-4f4c-8ebf-65f9ac5e9905 · outbound

This paper cites Pde- refiner: Achieving accurate long rollouts with neural pde solvers.Advances in Neural Information Processing Systems, 36:67398–67433, 2023.

Hierarchical Implicit Neural Emulators Pde- refiner: Achieving accurate long rollouts with neural pde solvers.Advances in Neural Information Processing Systems, 36:67398–67433, 2023

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:45:40.367778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:45:39.842940Z digest=sha256:83670666d8d606478e5fcd5f6b4daf7af591541412f01c40baf3cb51e48a9735

Observation 957082c1-df94-4fcb-ad1f-10295b9d7ca8 · outbound

This paper cites MultiPDENet: PDE-embedded Learning with Multi-time-stepping for Accelerated Flow Simulation.

Hierarchical Implicit Neural Emulators MultiPDENet: PDE-embedded Learning with Multi-time-stepping for Accelerated Flow Simulation

Reference 38

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:45:39.975620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:45:39.847914Z digest=sha256:7db0004509e70fd2916e66b3672a8d2f9ccc79e1f6be202b4c4cc5c5ef570a73

Observation 5eb17f2b-d31c-4b88-9fec-35461903d4e6 · outbound

This paper cites Implicit-explicit methods for time-dependent partial differential equations.SIAM Journal on Numerical Analysis, 32(3):797–823, 1995.

Hierarchical Implicit Neural Emulators Implicit-explicit methods for time-dependent partial differential equations.SIAM Journal on Numerical Analysis, 32(3):797–823, 1995

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:45:40.353402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:45:39.852677Z digest=sha256:a55f33914abac7a970d32db2c13dba05b84004fe22aa713df0df520d49370521

Observation 442cfae7-8267-4bdc-8c60-845613ef0804 · outbound

This paper cites Strong stability-preserving high-order time discretization methods.SIAM review, 43(1):89–112, 2001.

Hierarchical Implicit Neural Emulators Strong stability-preserving high-order time discretization methods.SIAM review, 43(1):89–112, 2001

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:45:40.338696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:45:39.856876Z digest=sha256:6bd406b4e09eb45508347881fadd2b54c8e261c1cabaf70c8c8016f7223cb91c

Observation 62f82a0d-a335-4080-beee-aa0c3e18867e · outbound

This paper cites On the stability of implicit-explicit linear multistep methods.Applied Numerical Mathematics, 25(2-3):193–205, 1997.

Hierarchical Implicit Neural Emulators On the stability of implicit-explicit linear multistep methods.Applied Numerical Mathematics, 25(2-3):193–205, 1997

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-07T10:45:39.861193Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:45:39.861193Z digest=sha256:cc93da5a8792db60550b13bed91fce54d662d3671f3b08955e99a24cc792a335

Observation 0cc4b67f-2186-4ccd-9f8b-2c8388ef75a9 · outbound

This paper cites Courier Corporation, 2012.

Hierarchical Implicit Neural Emulators Courier Corporation, 2012

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:45:40.314997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:45:39.865779Z digest=sha256:23259ef37f74e03fc64778e59164b704b1fa3d12d8e272237383b9ec1684e445

Observation 3e829700-7f56-48dc-bc8d-3198cc4d0566 · outbound

This paper cites Learning closed-form equations for subgrid-scale closures from high-fidelity data: Promises and challenges.Journal of Advances in Modeling Earth Systems, 16(7):e2023MS003874, 2024.

Hierarchical Implicit Neural Emulators Learning closed-form equations for subgrid-scale closures from high-fidelity data: Promises and challenges.Journal of Advances in Modeling Earth Systems, 16(7):e2023MS003874, 2024

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:45:40.300821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:45:39.870001Z digest=sha256:a16a0db4c2c0bd44dc26702ac411de42650c3baa7ca76d8eeafb794d9164f574

Observation 902cc8cf-7fa1-451c-bfa6-fd095d0237b2 · outbound

This paper cites an unresolved cited work.

Hierarchical Implicit Neural Emulators Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:45:40.285988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:45:39.874327Z digest=sha256:3f131d35dc90ba81688998f4b0a6bbe66890d600ad42ae6442a00dd9145b9f49

Observation 34eabcd7-fa5c-47ca-a80a-07a193084ec7 · outbound

This paper cites Thermalizer: Stable autoregressive neural emulation of spatiotemporal chaos.

Hierarchical Implicit Neural Emulators Thermalizer: Stable autoregressive neural emulation of spatiotemporal chaos

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-07T10:45:39.878564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:45:39.878564Z digest=sha256:5355457f873f13f873214bcf6f27a590a2cd6976fd1c918258984eef0b23fbde

Observation dae9f6c3-7bd0-472d-a902-ee131300633e · outbound

This paper cites Subgrid modelling for two- dimensional turbulence using neural networks.Journal of Fluid Mechanics, 858:122–144, 2019.

Hierarchical Implicit Neural Emulators Subgrid modelling for two- dimensional turbulence using neural networks.Journal of Fluid Mechanics, 858:122–144, 2019

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:45:40.271160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:45:39.883114Z digest=sha256:1699cbb0e7bbc310bf76a8755f9b9ee6af215074efbdd929b720bb9b5ce98943

Observation 235ce793-fd97-4bce-a183-c77de2897a97 · outbound

This paper cites Cambridge University Press, 2017.

Hierarchical Implicit Neural Emulators Cambridge University Press, 2017

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-07T10:45:39.887361Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:45:39.887361Z digest=sha256:7eec63ddcc77bea155f7adb7b1115ba955258fb66e0fef7c7ce8c2be22cb0f50

Observation b2066559-2bb3-440d-bf91-2df7fffdf728 · outbound

This paper cites py2d: High-performance 2D Navier-Stokes solver in python (version 0.1), 2024.

Hierarchical Implicit Neural Emulators py2d: High-performance 2D Navier-Stokes solver in python (version 0.1), 2024

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:45:40.248195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:45:39.892533Z digest=sha256:3703dd688dda1d230465b5d3424357a07acaa8d2c3ac2847bda9ffac4af69247

Observation 0c384b13-30e4-4499-9e77-e93c730a534f · outbound

This paper cites Diffusion models beat gans on image synthesis.

Hierarchical Implicit Neural Emulators Diffusion models beat gans on image synthesis

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-07T10:45:39.897026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:45:39.897026Z digest=sha256:8aeacac39d722f811d948fb42f947d53fd7934c62f980a315c1a726bd0711571

Observation 0178816c-dd62-42e6-ad33-6aee5f070099 · outbound

This paper cites Turbulent flows.Measurement Science and Technology, 12(11):2020–2021, 2001.

Hierarchical Implicit Neural Emulators Turbulent flows.Measurement Science and Technology, 12(11):2020–2021, 2001

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:45:40.224078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:45:39.902342Z digest=sha256:937ce3caef51778e91a5c1e4dc1e55d6e194ce2151a6192892655ad53f03ba75

Observation c21d1698-ac8f-456c-94ac-4fade9c60bf5 · outbound

This paper cites Fourier neural operator for parametric partial differential equations.

Hierarchical Implicit Neural Emulators Fourier neural operator for parametric partial differential equations

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:45:40.208886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T10:45:39.906548Z digest=sha256:2b6b38ab652694a3b935ecb31d520c8cb3abcc5eac961410d2dd67afe28b321c

Observation e0f6a752-460b-42e6-bc87-9860899c05b8 · outbound

This paper cites PDEBENCH: An Extensive Benchmark for Scientific Machine Learning.

Hierarchical Implicit Neural Emulators PDEBENCH: An Extensive Benchmark for Scientific Machine Learning

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-07T10:45:39.760233Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:45:39.760233Z digest=sha256:556c61165b8da90cd7defcf31f85c1c397545f97214bba8c17f7293db2d5e921

Pith citing papers

No inbound Pith citation observations are available.