Paper Citation Record · LEDGER

A deep shotgun method for solving high-dimensional parabolic partial differential equations

As of 16 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2506.15481.

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

pith.paper-citation-record.v1
2506.15481 v1

Coverage vector

measured 20 of 20 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-15T19:42:20.619679Z

measured 20 of 20 standing notices

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.

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

20 of 20 outbound references displayed

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verified fuzzy10
unresolved6
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4a6231cd-047a-4e7d-872c-fc3a6889b627 · outbound

This paper cites Nucleic acids re- search 9(13), 3015–3027 (1981).

A deep shotgun method for solving high-dimensional parabolic partial differential equations Nucleic acids re- search 9(13), 3015–3027 (1981)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:42:20.920477Z

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.

Observation a698512f-bf94-4ea1-832e-b56d9a518ada · outbound

This paper cites SOC-MartNet: A Martingale Neural Network for the Hamilton-Jacobi-Bellman Equation without Explicit inf H in Stochastic Optimal Controls.

A deep shotgun method for solving high-dimensional parabolic partial differential equations SOC-MartNet: A Martingale Neural Network for the Hamilton-Jacobi-Bellman Equation without Explicit inf H in Stochastic Optimal Controls

Reference 2

Resolution: metadata mismatch; local_arxiv, observed 2026-08-15T19:42:20.783470Z

Source-reported events for the cited work

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Observation bd230071-0eea-4286-8013-db3e669571b7 · outbound

This paper cites DeepMartNet -- A Martingale Based Deep Neural Network Learning Method for Dirichlet BVPs and Eigenvalue Problems of Elliptic PDEs in R^d.

A deep shotgun method for solving high-dimensional parabolic partial differential equations DeepMartNet -- A Martingale Based Deep Neural Network Learning Method for Dirichlet BVPs and Eigenvalue Problems of Elliptic PDEs in R^d

Reference 3

Resolution: metadata mismatch; local_arxiv, observed 2026-08-15T19:42:20.767995Z

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.

Observation 6f6c7234-c5ad-42e5-a959-169ec94baf80 · outbound

This paper cites Nature526(7571), 68 (2015).

A deep shotgun method for solving high-dimensional parabolic partial differential equations Nature526(7571), 68 (2015)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:42:20.909938Z

Source-reported events for the cited work

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Observation ab6608ab-1d7a-45e4-acae-0658c1db1391 · outbound

This paper cites Proceedings of the National Academy of Sciences 115(34), 8505–8510 (2018).

A deep shotgun method for solving high-dimensional parabolic partial differential equations Proceedings of the National Academy of Sciences 115(34), 8505–8510 (2018)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:42:20.899235Z

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.

Observation 116d39ed-5cac-4ddc-aff1-798f0a8a3a22 · outbound

This paper cites Probability, Uncertainty and Quantitative Risk 5(1), 5 (2020).

A deep shotgun method for solving high-dimensional parabolic partial differential equations Probability, Uncertainty and Quantitative Risk 5(1), 5 (2020)

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:42:20.888941Z

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.

Observation 3bdac93e-c522-41d7-9aba-75875b71e135 · outbound

This paper cites Neural Networks 176, 106369 (2024).

A deep shotgun method for solving high-dimensional parabolic partial differential equations Neural Networks 176, 106369 (2024)

Reference 7

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Source-reported events for the cited work

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Observation 5fc33af0-02aa-4afb-91c6-6a9d64874878 · outbound

This paper cites Bias-Variance Trade-off in Physics-Informed Neural Networks with Randomized Smoothing for High-Dimensional PDEs.

A deep shotgun method for solving high-dimensional parabolic partial differential equations Bias-Variance Trade-off in Physics-Informed Neural Networks with Randomized Smoothing for High-Dimensional PDEs

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T19:42:20.573847Z

Source-reported events for the cited work

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Observation faefb63e-758a-431d-a383-542b98c746cc · outbound

This paper cites SIAM Journal on Scientific Computing43(6), B1105– B1132 (2021).

A deep shotgun method for solving high-dimensional parabolic partial differential equations SIAM Journal on Scientific Computing43(6), B1105– B1132 (2021)

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:42:20.878036Z

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.

Observation b15feade-e2fc-475c-9ca8-193029dbe5fb · outbound

This paper cites Journal of Machine Learning 2(1), 31–64 (2023).

A deep shotgun method for solving high-dimensional parabolic partial differential equations Journal of Machine Learning 2(1), 31–64 (2023)

Reference 10

Resolution: verified exact; doi, observed 2026-08-15T19:42:20.651482Z

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.

Observation 55e7d789-3395-4c21-a37e-bc8b539d9664 · outbound

This paper cites Randomized Automatic Differentiation.

A deep shotgun method for solving high-dimensional parabolic partial differential equations Randomized Automatic Differentiation

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T19:42:20.585570Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4213c2ef-fe85-4b12-8a4b-0182835be201 · outbound

This paper cites Systems & control letters 14(1), 55–61 (1990).

A deep shotgun method for solving high-dimensional parabolic partial differential equations Systems & control letters 14(1), 55–61 (1990)

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T19:42:20.589507Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d6a0100-ebd7-4d80-93db-5874b7164390 · outbound

This paper cites an unresolved cited work.

A deep shotgun method for solving high-dimensional parabolic partial differential equations Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:42:20.861062Z

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.

Observation 849c6a75-17c0-4d03-9818-f561a883656a · outbound

This paper cites In: Peter Carr Gedenkschrift: Research Advances in Mathematical Finance, pp.

A deep shotgun method for solving high-dimensional parabolic partial differential equations In: Peter Carr Gedenkschrift: Research Advances in Mathematical Finance, pp

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:42:20.850829Z

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.

Observation 1be84821-1c04-4c32-8877-66e446776173 · outbound

This paper cites Journal of Computational physics 378, 686–707 (2019).

A deep shotgun method for solving high-dimensional parabolic partial differential equations Journal of Computational physics 378, 686–707 (2019)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:42:20.839969Z

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.

Observation 89474f04-f067-412c-a868-1ab005890be0 · outbound

This paper cites Journal of Machine Learning Re- search 25(248), 1–40 (2024).

A deep shotgun method for solving high-dimensional parabolic partial differential equations Journal of Machine Learning Re- search 25(248), 1–40 (2024)

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:42:20.829385Z

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.

Observation 4d2fca08-5cc4-46db-85a9-5c480bdb9c59 · outbound

This paper cites Randomized Forward Mode of Automatic Differentiation For Optimization Algorithms.

A deep shotgun method for solving high-dimensional parabolic partial differential equations Randomized Forward Mode of Automatic Differentiation For Optimization Algorithms

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-15T19:42:20.608405Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 078be6d4-6d4e-4257-947d-781b52d104e4 · outbound

This paper cites Journal of computational physics 375, 1339–1364 (2018).

A deep shotgun method for solving high-dimensional parabolic partial differential equations Journal of computational physics 375, 1339–1364 (2018)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:42:20.817280Z

Source-reported events for the cited work

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Observation cb8088e9-a058-4201-a02e-d83d37703cdc · outbound

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A deep shotgun method for solving high-dimensional parabolic partial differential equations Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:42:20.806586Z

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.

Observation 166b4de6-2844-4453-8d5c-e3afe73e8504 · outbound

This paper cites Journal of Computational Physics 470, 111557 (2022).

A deep shotgun method for solving high-dimensional parabolic partial differential equations Journal of Computational Physics 470, 111557 (2022)

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:42:20.794878Z

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.

Pith citing papers

No inbound Pith citation observations are available.