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Paper Citation Record · LEDGER

Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem

As of 19 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2506.23969.

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

pith.paper-citation-record.v1
2506.23969 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:41:49.604894Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

22 of 22 outbound references displayed

  • verified exact2
  • verified fuzzy13
  • unresolved7
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation abce0169-e552-4f7b-a6ea-85993c336a47 · outbound

This paper cites Tensor networks and hierarchical tensors for the solution of high-dimensional partial differential equations.

Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem Tensor networks and hierarchical tensors for the solution of high-dimensional partial differential equations

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:41:53.765059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 88eb0501-b96d-4e29-a290-62123c26bc0b · outbound

This paper cites Overcoming the curse of dimensionality in the numerical approximation of high-dimensional semilinear elliptic partial differential equations.

Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem Overcoming the curse of dimensionality in the numerical approximation of high-dimensional semilinear elliptic partial differential equations

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:41:53.611956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 8e132787-fd3a-4af8-806b-72f391b8e8dc · outbound

This paper cites An overview on deep learning-based approximation methods for partial differential equations.

Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem An overview on deep learning-based approximation methods for partial differential equations

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-06T21:41:47.597395Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 73b18556-bea3-4fa0-b9bd-a9dc102ea592 · outbound

This paper cites Numerical simulations for full history recursive multilevel Picard approximations for systems of high-dimensional partial differential equations.

Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem Numerical simulations for full history recursive multilevel Picard approximations for systems of high-dimensional partial differential equations

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:41:53.442029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:41:47.764179Z digest=sha256:81a070c371b0ed0f0525d633631ff85eb26d13bdf8ca287f1faf00e2beb69915

Observation dcecaa7c-4e0b-40ca-a4d8-0581a4612497 · outbound

This paper cites On multilevel Picard numerical approximations for high-dimensional nonlinear parabolic partial differential equations and high-dimensional nonlinear backward stochastic differential equations.

Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem On multilevel Picard numerical approximations for high-dimensional nonlinear parabolic partial differential equations and high-dimensional nonlinear backward stochastic differential equations

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:41:49.995300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:41:47.913090Z digest=sha256:719deeffa383d53f30747aa9e3e8a5dd5ba3f308d432816aaf848fc437608664

Observation 43acfee1-babc-493f-857a-9e6486ef178b · outbound

This paper cites Multilevel Picard iterations for solving smooth semilinear parabolic heat equations.

Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem Multilevel Picard iterations for solving smooth semilinear parabolic heat equations

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:41:53.210014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:41:47.992805Z digest=sha256:33919b0cb92a5d7c3f638d45babf4a0e5fbd3a9faaf706fb93153ab7a3c20bf9

Observation c3808e27-c831-4036-83f0-3ce5448bfbda · outbound

This paper cites an unresolved cited work.

Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:41:52.967295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 6ed56f11-8da7-4a50-82e7-7e7b2c7524ed · outbound

This paper cites P., and Caines, P.

Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem P., and Caines, P

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:41:52.804111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:41:48.144251Z digest=sha256:ba9bbb36c110f1594800f7b198c5a3146e945ad99d0913d9257eba0a94819293

Observation d8c661a1-be05-441c-a1d6-27ce27fc5bdf · outbound

This paper cites Overcoming the curse of dimensionality in the numerical approximation of parabolic partial differential equations.

Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem Overcoming the curse of dimensionality in the numerical approximation of parabolic partial differential equations

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:41:52.519657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:41:48.328762Z digest=sha256:c012ac365e4964a2c4fb636c333df86a7f8be442b604b6a104b06eb5d12d60bb

Observation d6cfc632-5d29-41aa-93fd-7bfca4eba260 · outbound

This paper cites Multilevel Picard approximations for high-dimensional semilinear second-order PDEs with Lipschitz nonlinearities.

Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem Multilevel Picard approximations for high-dimensional semilinear second-order PDEs with Lipschitz nonlinearities

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-06T21:41:48.419144Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:41:48.419144Z digest=sha256:f6e0c874e63cc6015964a61838ae12be7c00bab36dfdf8848883aa9143746364

Observation 49bdc76c-cf68-4380-a8f4-6dca0d7f2b93 · outbound

This paper cites an unresolved cited work.

Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:41:52.228869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:41:48.480830Z digest=sha256:36d89b10f7613fe5ff535949504d35404ef71696d35a420279bac8197cd603be

Observation b05b7db8-dfb7-4ac1-9f43-4192569c72b4 · outbound

This paper cites A., and von Wurstemberger, P.

Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem A., and von Wurstemberger, P

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:41:52.010371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:41:48.549855Z digest=sha256:38674b1288866642180334a7d66fcb24dbc43bdf44977641ee79dc73db727eef

Observation 5cb9faa7-4be4-4942-8dc5-1ebc0b922fbf · outbound

This paper cites Overcoming the curse of dimensionality in the approximative pricing of financial derivatives with default risks.

Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem Overcoming the curse of dimensionality in the approximative pricing of financial derivatives with default risks

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:41:51.836114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:41:48.664326Z digest=sha256:bfcd486596fb60a39948486943b1928bac25086569be074a00b853872481651b

Observation b9b6600c-f084-43e5-974f-fa7b6aebb0ee · outbound

This paper cites Multilevel Picard approximations of high-dimensional semilinear parabolic differential equations with gradient-dependent nonlinearities.

Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem Multilevel Picard approximations of high-dimensional semilinear parabolic differential equations with gradient-dependent nonlinearities

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:41:51.641206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:41:48.732506Z digest=sha256:abdde4648bf31dc3def9b51981196f1216a080cb3aaebdbf5bd5d4c2ce48ab8c

Observation 70c8b4ce-fdb9-4e8b-9643-5581fff76343 · outbound

This paper cites On the speed of convergence of Picard iterations of backward stochastic differential equations.

Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem On the speed of convergence of Picard iterations of backward stochastic differential equations

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-06T21:41:48.792962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:41:48.792962Z digest=sha256:ef09cae00029dc61078ce8e6dbc0c93089339f1e8c755978d9c6d71300dfda65

Observation 29644187-a016-46dc-b5cc-8985e4319b11 · outbound

This paper cites an unresolved cited work.

Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:41:51.444692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation de3fe40e-749b-4be1-bb5f-2ef1e11644e7 · outbound

This paper cites A.Multilevel Picard approximations of high-dimensional semilinear partial differential equations with locally monotone coefficient functions.

Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem A.Multilevel Picard approximations of high-dimensional semilinear partial differential equations with locally monotone coefficient functions

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:41:51.135100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:41:48.984851Z digest=sha256:3ce6dc028112789124bcef993511a682f15de4c65dee3a0be9afc5c23b058376

Observation 58ee3160-eec9-4f7a-8aa6-1024267c34f4 · outbound

This paper cites Jeux ` a champ moyen.

Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem Jeux ` a champ moyen

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:41:50.943134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:41:49.107757Z digest=sha256:9b02e6fea4d17dec5677576f91879fc51e80467cfd03d85be9182cd0b0d2ed1e

Observation d0ca955b-be17-4b02-b8e3-97ecc46e3e4d · outbound

This paper cites Jeux ` a champ moyen.

Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem Jeux ` a champ moyen

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:41:50.705603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:41:49.228443Z digest=sha256:8770e565eb4fdf8ee9eed9356c80e585e729b723c2bb045b88eb1abdd96f2cd9

Observation 0aa00901-06db-41e5-b943-f1353035b896 · outbound

This paper cites A., and Wu, S.

Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem A., and Wu, S

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:41:50.467543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:41:49.352115Z digest=sha256:edac1d8d3fd1e5c0973524f52f880a1f53106bc31c2538c24fc305fe0ab18eeb

Observation 8597a9cb-71f9-45e2-9626-41394caaa6ea · outbound

This paper cites Multilevel Picard algorithm for general semilinear parabolic PDEs with gradient-dependent nonlinearities.

Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem Multilevel Picard algorithm for general semilinear parabolic PDEs with gradient-dependent nonlinearities

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:41:49.789628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T21:41:49.500627Z digest=sha256:e0b62392fb609a7533a178f4047750e45d038561f22502790c1b9746ced8f341

Observation 8093f103-8081-49b5-b6d5-710cb4dc6982 · outbound

This paper cites an unresolved cited work.

Full history recursive multilevel Picard approximations suffer from the curse of dimensionality for the Hamilton-Jacobi-Bellman equation of a stochastic control problem Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:41:50.226083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Pith citing papers

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