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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 9 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 2026-08-09T06:31:02.800959+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
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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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:41:47.448361Z digest=sha256:ef5375accbbdafdb4d084616120e14f4c4d5c0bc3a0d868548bf6880dfa66ee2

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:41:47.764179Z digest=sha256:03805f70a1167aebdfec444fcc8ab6ca11ba108edbbc13e1896369dfeaa3e367

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:41:47.913090Z digest=sha256:08fcb5f3d0323a9e86dbcbe242db8f919215e0fd8021ea9bcf4c1e2a37a52c6f

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:41:47.992805Z digest=sha256:eb50236b429c6e370b5ff06897c07dfbb66c493e36eac0dd68266c7367a7460f

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:41:48.036422Z digest=sha256:28c38ae045675e9eba4b70b8d7c1e04206f6235a63871342b0f52b78ab859028

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:41:48.144251Z digest=sha256:3aa7ce87a0ec60184b581e0424f6519f139fa730e323ec8dd7912c0252ac87fd

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:41:48.328762Z digest=sha256:3a8cca4467f8da613fac89819a7cb2b25fa11ae4625d5f32102b1e7003999f66

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=sha256:023130c2473143b5f7ee734efbd1c4705342f36a5c1e40726fe3112f636aadb7

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 2026-08-09T06:31:02.800959+00:00.

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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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:41:48.549855Z digest=sha256:a854953eb0ac72f732729cdf57ac4ae94f23983c95c905bd23efea874b6be644

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:41:48.664326Z digest=sha256:53b375f4d7ee793a703e78d491f23698d4da1df253d1d89d11931ef42f6f9880

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:41:48.732506Z digest=sha256:93c5174ad53b2341fead127ca438ffea75dc5c58d0f724fdc311b33ee5e82f70

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=sha256:7e365532325e673c3c46907f11cc43daa80f6fec1ec3839da478a243be4510cd

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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:41:48.984851Z digest=sha256:b1be9c25f60950428568ab50c73294427a048ad42cce8c2dc35be17b5597723d

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:41:49.107757Z digest=sha256:d0cf959b708094cf3c345cb43c6b2cfe9ed40692b4fb0865addffec966cec9c1

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:41:49.228443Z digest=sha256:e71383e3f36d076ee9a48b9d6cb742369b73e2a5cedc1991585ad63ae9eef476

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:41:49.352115Z digest=sha256:3cf7816e92b532af9b4b6968379034b26077a836fda8fd15dfadbcb516081ac0

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:41:49.500627Z digest=sha256:ad6582149f715d37dc95532df1a38fff5b02430576c4a7f11003ae1932f4482a

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T21:41:49.604894Z digest=sha256:5add347816284e7cd73d273c7fe30de486d3e79a5b89ad33b06aa68a5381d784

Pith citing papers

No inbound Pith citation observations are available.