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Paper Citation Record · LEDGER

Deep neural network approximations for Monte Carlo algorithms

As of 15 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 1 inbound Pith citation observation for arXiv:1908.10828.

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pith.paper-citation-record.v1
1908.10828 v1

Coverage vector

measured 55 of 55 reference resolution

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measured 56 of 56 standing notices

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measured 1 of 1 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: arxiv_reference, observed 2026-05-24T12:39:29.086052Z

Reference resolution

55 of 55 outbound references displayed

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External citation measurements

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Outbound references

Observation 58fc7b9f-3781-477d-a845-a6164cf60705 · outbound

This paper cites Deep splitting method for parabolic PDEs.

Deep neural network approximations for Monte Carlo algorithms Deep splitting method for parabolic PDEs

Reference 1

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Observation b3badd1d-252d-4ff8-afba-4d1454903a24 · outbound

This paper cites Solving the Kolmogorov PDE by means of deep learning.

Deep neural network approximations for Monte Carlo algorithms Solving the Kolmogorov PDE by means of deep learning

Reference 2

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This paper cites Machine Learning Approximation Algorithms for High-Dimensional Fully Nonlinear Partial Differential Eq uations and Second-order Backward Stochastic Differential Equations.

Deep neural network approximations for Monte Carlo algorithms Machine Learning Approximation Algorithms for High-Dimensional Fully Nonlinear Partial Differential Eq uations and Second-order Backward Stochastic Differential Equations

Reference 3

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This paper cites Deep optimal stopping.

Deep neural network approximations for Monte Carlo algorithms Deep optimal stopping

Reference 4

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This paper cites Solving high-dimensional optimal stopping problems using deep learning.

Deep neural network approximations for Monte Carlo algorithms Solving high-dimensional optimal stopping problems using deep learning

Reference 5

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This paper cites Dynamic programming.

Deep neural network approximations for Monte Carlo algorithms Dynamic programming

Reference 6

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This paper cites Applications of variational inequalities in stochastic control , vol.

Deep neural network approximations for Monte Carlo algorithms Applications of variational inequalities in stochastic control , vol

Reference 7

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Observation 78aaa35d-6d46-460d-94ec-e1af0f82ccec · outbound

This paper cites A unified deep artificial neural network ap- proach to partial differential equations in complex geometries.

Deep neural network approximations for Monte Carlo algorithms A unified deep artificial neural network ap- proach to partial differential equations in complex geometries

Reference 8

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This paper cites Analysis of the Generalization Error: Empirical Risk Minimization over Deep Artificial Neural Networks Overcomes the Curse of Dimensionality in the Numerical Approximation of Black-Scholes Partial Differential Equations.

Deep neural network approximations for Monte Carlo algorithms Analysis of the Generalization Error: Empirical Risk Minimization over Deep Artificial Neural Networks Overcomes the Curse of Dimensionality in the Numerical Approximation of Black-Scholes Partial Differential Equations

Reference 9

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This paper cites Machine learning for semi linear PDEs.

Deep neural network approximations for Monte Carlo algorithms Machine learning for semi linear PDEs

Reference 10

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Deep neural network approximations for Monte Carlo algorithms Unresolved cited work

Reference 11

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This paper cites E., Yu, D., Deng, L., and Acero, A.

Deep neural network approximations for Monte Carlo algorithms E., Yu, D., Deng, L., and Acero, A

Reference 12

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This paper cites A Discussion on Solving Partial Differential Equations using Neural Networks.

Deep neural network approximations for Monte Carlo algorithms A Discussion on Solving Partial Differential Equations using Neural Networks

Reference 13

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This paper cites Deep learning-based numerical meth- ods for high-dimensional parabolic partial differential equations an d backward stochastic differential equations.

Deep neural network approximations for Monte Carlo algorithms Deep learning-based numerical meth- ods for high-dimensional parabolic partial differential equations an d backward stochastic differential equations

Reference 14

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This paper cites The deep Ritz method: A deep learning-based numerical algorithm for solving variational problems.

Deep neural network approximations for Monte Carlo algorithms The deep Ritz method: A deep learning-based numerical algorithm for solving variational problems

Reference 15

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This paper cites DNN Ex- pression Rate Analysis of High-dimensional PDEs: Application to Optio n Pric- ing.

Deep neural network approximations for Monte Carlo algorithms DNN Ex- pression Rate Analysis of High-dimensional PDEs: Application to Optio n Pric- ing

Reference 16

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Deep neural network approximations for Monte Carlo algorithms Deep reinforcement learn- ing for partial differential equation control

Reference 17

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Deep neural network approximations for Monte Carlo algorithms Asymptotic expansion as prior knowledge in deep learning method for high dimensional BSDEs

Reference 18

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This paper cites Variance Reduction Applied to Machine Learning for Pricing Bermudan/American Options in High Dimension.

Deep neural network approximations for Monte Carlo algorithms Variance Reduction Applied to Machine Learning for Pricing Bermudan/American Options in High Dimension

Reference 19

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Deep neural network approximations for Monte Carlo algorithms Speech recognition with deep recurrent neural networks

Reference 20

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This paper cites A proof that artificial neural networks overcome the curse of dimensionality in the numerical approximation of Black-Scholes partial differential equations.

Deep neural network approximations for Monte Carlo algorithms A proof that artificial neural networks overcome the curse of dimensionality in the numerical approximation of Black-Scholes partial differential equations

Reference 21

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Deep neural network approximations for Monte Carlo algorithms Space-time error estimates for deep neural network approximations for differential equations

Reference 22

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Deep neural network approximations for Monte Carlo algorithms Solving high-dimensional partial differ- ential equations using deep learning

Reference 23

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Deep neural network approximations for Monte Carlo algorithms Convergence of the Deep BSDE Method for Coupled FBSDEs

Reference 24

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Deep neural network approximations for Monte Carlo algorithms Deep Primal-Dual Algorithm for BSDEs: Applica- tions of Machine Learning to CV A and IM

Reference 25

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Deep neural network approximations for Monte Carlo algorithms E., Mohamed, A.-r., Jaitly , N., Senior, A., V anhoucke, V., Nguyen, P., Sainath, T

Reference 26

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Deep neural network approximations for Monte Carlo algorithms Convolutional neural network ar- chitectures for matching natural language sentences

Reference 27

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Deep neural network approximations for Monte Carlo algorithms Unresolved cited work

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Deep neural network approximations for Monte Carlo algorithms Some machine learning schemes for high-dimensional nonlinear PDEs

Reference 29

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Deep neural network approximations for Monte Carlo algorithms A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations

Reference 30

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Deep neural network approximations for Monte Carlo algorithms Deep Curve-dependent PDEs for affine rough volatility

Reference 31

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This paper cites A proof that deep artificial neural networks overcome the curse of dimensionality in the numerical approximation of Kolmogorov partial differential equations with constant diffusion and nonlinear drift coefficients.

Deep neural network approximations for Monte Carlo algorithms A proof that deep artificial neural networks overcome the curse of dimensionality in the numerical approximation of Kolmogorov partial differential equations with constant diffusion and nonlinear drift coefficients

Reference 32

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Deep neural network approximations for Monte Carlo algorithms Numerical solution of elliptic partial differential equation using radial basis function neura l networks

Reference 33

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Deep neural network approximations for Monte Carlo algorithms A convolu- tional neural network for modelling sentences

Reference 34

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 36331dd0-55cc-49ee-aba1-dbc6c841feb8 · outbound

This paper cites A Theoretical Analysis of Deep Neural Networks and Parametric PDEs.

Deep neural network approximations for Monte Carlo algorithms A Theoretical Analysis of Deep Neural Networks and Parametric PDEs

Reference 36

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 993fc583-6767-4ff6-97dc-228fa54f96f6 · outbound

This paper cites E., Likas, A., and Fotiadis, D.

Deep neural network approximations for Monte Carlo algorithms E., Likas, A., and Fotiadis, D

Reference 37

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raw_fallback, observed 2026-08-14T10:39:30.164917Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 57cf2c04-88a7-4127-a4a3-9d228bdd47fd · outbound

This paper cites PDE-Net: Learning PDEs from Data.

Deep neural network approximations for Monte Carlo algorithms PDE-Net: Learning PDEs from Data

Reference 38

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 094cf00d-d2c8-4be8-ad80-2e67462bcb68 · outbound

This paper cites Deep learning observables in computational fluid dynamics.

Deep neural network approximations for Monte Carlo algorithms Deep learning observables in computational fluid dynamics

Reference 39

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T10:39:29.813831Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 8a362de8-ca8d-4423-9d2d-34f8c2ad18be · outbound

This paper cites an unresolved cited work.

Deep neural network approximations for Monte Carlo algorithms Unresolved cited work

Reference 40

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unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation b0a57744-2f8c-426f-b370-f9f8712afe7b · outbound

This paper cites J., and Fern ´andez, A.

Deep neural network approximations for Monte Carlo algorithms J., and Fern ´andez, A

Reference 41

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation f6648e70-a0d3-4e58-9958-92b4ad38e54e · outbound

This paper cites Tractability of multivariate problems.

Deep neural network approximations for Monte Carlo algorithms Tractability of multivariate problems

Reference 42

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:39:29.634160Z digest=sha256:6a1b5e77dcb48c1a97b7a2d46d385c2ae09b86a4ad492ca2b87fb0901698eee0

Observation 712dbfa7-83e2-45bd-824b-d5c9982f625b · outbound

This paper cites Tractability of multivariate problems.

Deep neural network approximations for Monte Carlo algorithms Tractability of multivariate problems

Reference 43

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 61aa838f-e4be-44a0-9534-7cf2594f2245 · outbound

This paper cites Neural networks-based backward scheme for fully nonlinear PDEs.

Deep neural network approximations for Monte Carlo algorithms Neural networks-based backward scheme for fully nonlinear PDEs

Reference 44

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:39:29.640410Z digest=sha256:16222feb2f104a3b649c8d67c5a0f6fa1704e27d4af2ac2d5b6ff306f4a0233d

Observation 2ef84694-3aad-4a43-87d0-fcfac025a915 · outbound

This paper cites Deep hidden physics models: Deep learning of nonlinear partial differential equations.

Deep neural network approximations for Monte Carlo algorithms Deep hidden physics models: Deep learning of nonlinear partial differential equations

Reference 45

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation bd7bc629-6375-4edd-a90d-420f76985367 · outbound

This paper cites Rectified deep neural networks overcome the curse of dimensionality for nonsmooth value functions in zero-sum games of nonlinear stiff systems.

Deep neural network approximations for Monte Carlo algorithms Rectified deep neural networks overcome the curse of dimensionality for nonsmooth value functions in zero-sum games of nonlinear stiff systems

Reference 46

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:39:29.649643Z digest=sha256:ee863f8e2d53b61622176d8443d68cd600ce2fd4d23cb81d9818e046a52eb42a

Observation 48cc8bbd-df98-42f5-badc-0609773a86bf · outbound

This paper cites Deep learning detecting fraud in credit card transactions.

Deep neural network approximations for Monte Carlo algorithms Deep learning detecting fraud in credit card transactions

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:39:30.097660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:39:29.653315Z digest=sha256:54253dbf5e01ea92250599fe80203f35939cab1ae156be67179eb28fc8741c6f

Observation 8eb8fe8f-74ae-4774-b64d-e9c1cd762814 · outbound

This paper cites Very Deep Convolutional Networks for Large-Scale Image Recognition.

Deep neural network approximations for Monte Carlo algorithms Very Deep Convolutional Networks for Large-Scale Image Recognition

Reference 48

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unresolved
no resolver link, observed 2026-08-14T10:39:29.656731Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:39:29.656731Z digest=sha256:c305ce4603170824e6303c5419be73f8c6014aa8ef40b591002e520880e957ef

Observation 443f1acf-90b3-4132-b548-6e7e4bba9c42 · outbound

This paper cites DGM: A deep learning algorithm for solving partial differential equations.

Deep neural network approximations for Monte Carlo algorithms DGM: A deep learning algorithm for solving partial differential equations

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:39:30.087909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:39:29.659869Z digest=sha256:1cd1caea3a449c6f2716658c94ea463194da3fb6aed5eb292269bd45f360c1f7

Observation 535f13b6-d678-4f71-a5fb-00058aceca44 · outbound

This paper cites Deepface: Closing the gap to human-level performance in face verification.

Deep neural network approximations for Monte Carlo algorithms Deepface: Closing the gap to human-level performance in face verification

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:39:30.078464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:39:29.662811Z digest=sha256:e1d7477ab7ad4ad12b09ceb3456b0fc582295b891e58e6b4dbbe0f6eec70a549

Observation 24c82622-5c6b-49b2-964d-a5213b27d5da · outbound

This paper cites Solving inverse problems in nonlinear PDEs by recurrent neural networks.

Deep neural network approximations for Monte Carlo algorithms Solving inverse problems in nonlinear PDEs by recurrent neural networks

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:39:30.067879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:39:29.666066Z digest=sha256:852d85455363ce787008b94cd5d9c875f5c08f6e47dfbfb810401d997a7cad3b

Observation b9b871e6-c858-46e4-a702-4d40e9c41e4a · outbound

This paper cites Deep & cross network for ad click predictions.

Deep neural network approximations for Monte Carlo algorithms Deep & cross network for ad click predictions

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:39:30.057766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:39:29.669408Z digest=sha256:ba34da98bc33e52dee3a9ffcbf977a533da5c45097b8fedc2f52890ba7664d99

Observation beee2f90-4472-4cb8-bff4-1005739721c5 · outbound

This paper cites Face recognition based on deep learning.

Deep neural network approximations for Monte Carlo algorithms Face recognition based on deep learning

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:39:30.047634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:39:29.672466Z digest=sha256:590a04a243747403907c0dbe8dcca50ef27aa4a1dae987f10bb85217b9c4b884

Observation 75f330af-ea3c-4a63-abe7-93bbdd6a31fb · outbound

This paper cites J., and Sim, K.

Deep neural network approximations for Monte Carlo algorithms J., and Sim, K

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T10:39:30.037443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:39:29.675312Z digest=sha256:ef459ec51dbc325bfcf792be86e4357ef6932f11258b6b0e17f99c999c39b6b6

Observation 3133b7cb-446f-4a16-8a2c-57a3f31d746e · outbound

This paper cites an unresolved cited work.

Deep neural network approximations for Monte Carlo algorithms Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-14T10:39:30.026994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:39:29.678317Z digest=sha256:c1e8fd88f199c544db1a6bb2908856ed0754b9b39cb75d8a6597343873f53240

Pith citing papers

Observation 39bcd1ef-2639-40cb-80df-0f7cc4a7d3c8 · inbound

Deep neural network approximation theory for high-dimensional functions cites this paper.

Deep neural network approximation theory for high-dimensional functions Deep neural network approximations for Monte Carlo algorithms

Reference 44

Resolution
verified exact
arxiv_id, observed 2026-05-24T12:39:29.089898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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