Paper Citation Record · LEDGER

HJRNO: Hamilton-Jacobi Reachability with Neural Operators

As of 17 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2504.19989.

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

pith.paper-citation-record.v1
2504.19989 v2

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:42:17.755502Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T00:49:36.716960Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

verified exact1
verified fuzzy15
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b5cd80da-0f28-4fbf-b34a-1b0c0088c3d1 · outbound

This paper cites Neural operators for accelerating scientific simulations and design.

HJRNO: Hamilton-Jacobi Reachability with Neural Operators Neural operators for accelerating scientific simulations and design

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:42:18.093816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9ff7197a-06ee-473c-aa1e-e40f885f43ce · outbound

This paper cites Hamilton- jacobi reachability: A brief overview and recent advances.

HJRNO: Hamilton-Jacobi Reachability with Neural Operators Hamilton- jacobi reachability: A brief overview and recent advances

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:42:18.080525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 43dfe777-58c5-47f3-8d70-efbae33954d4 · outbound

This paper cites Deepreach: A deep learning approach to high-dimensional reachability.

HJRNO: Hamilton-Jacobi Reachability with Neural Operators Deepreach: A deep learning approach to high-dimensional reachability

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:42:18.067662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6790fbc4-a398-4407-941b-ca00df0c8abe · outbound

This paper cites Parameter- conditioned reachable sets for updating safety assurances online.

HJRNO: Hamilton-Jacobi Reachability with Neural Operators Parameter- conditioned reachable sets for updating safety assurances online

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:42:18.054071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d2017d07-82d6-41af-bf06-1f9b3bac42b5 · outbound

This paper cites DualGuard MPPI: Safe and Performant Optimal Control by Combining Sampling-Based MPC and Hamilton-Jacobi Reachability.

HJRNO: Hamilton-Jacobi Reachability with Neural Operators DualGuard MPPI: Safe and Performant Optimal Control by Combining Sampling-Based MPC and Hamilton-Jacobi Reachability

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-16T05:42:17.673362Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f886898c-0e7e-4b97-87c8-8c8c3f92ee10 · outbound

This paper cites The Fourier Transform and Its Applications.

HJRNO: Hamilton-Jacobi Reachability with Neural Operators The Fourier Transform and Its Applications

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:42:18.040757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 47e2e908-61df-47d0-a55e-1e58d1d4e3cb · outbound

This paper cites Choose a transformer: Fourier or galerkin.

HJRNO: Hamilton-Jacobi Reachability with Neural Operators Choose a transformer: Fourier or galerkin

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T05:42:17.682957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b25604f-6e83-4691-a693-99229e7e5b80 · outbound

This paper cites Exact and efficient hamilton-jacobi guaranteed safety analysis via system decomposition.

HJRNO: Hamilton-Jacobi Reachability with Neural Operators Exact and efficient hamilton-jacobi guaranteed safety analysis via system decomposition

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:42:18.017498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 93886d7f-5808-409d-8c67-da7bc488085c · outbound

This paper cites Decomposition of reachable sets and tubes for a class of nonlinear systems.

HJRNO: Hamilton-Jacobi Reachability with Neural Operators Decomposition of reachable sets and tubes for a class of nonlinear systems

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:42:18.004045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ba6f7d7b-72ca-4419-b4f0-1e6d8f733897 · outbound

This paper cites Hamilton–jacobi reachability: Some recent theoretical advances and applications in unmanned airspace management.

HJRNO: Hamilton-Jacobi Reachability with Neural Operators Hamilton–jacobi reachability: Some recent theoretical advances and applications in unmanned airspace management

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:42:17.990825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2a316b26-5e01-4fca-abff-3efff65500cf · outbound

This paper cites Reference Neural Operators: Learning the Smooth Dependence of Solutions of PDEs on Geometric Deformations.

HJRNO: Hamilton-Jacobi Reachability with Neural Operators Reference Neural Operators: Learning the Smooth Dependence of Solutions of PDEs on Geometric Deformations

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-16T05:42:17.859631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f7e6c255-16f6-4e0b-a88e-57ca9b1d9ccb · outbound

This paper cites Some properties of viscosity solutions of hamilton-jacobi equations.

HJRNO: Hamilton-Jacobi Reachability with Neural Operators Some properties of viscosity solutions of hamilton-jacobi equations

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:42:17.977120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation da323a7b-78f4-4888-aea3-e356727efa41 · outbound

This paper cites Viscosity solutions of hamilton- jacobi equations.

HJRNO: Hamilton-Jacobi Reachability with Neural Operators Viscosity solutions of hamilton- jacobi equations

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:42:17.962893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6345a672-520a-4e6e-8c1d-337cfe53dab5 · outbound

This paper cites Gnot: A general neural operator transformer for operator learning.

HJRNO: Hamilton-Jacobi Reachability with Neural Operators Gnot: A general neural operator transformer for operator learning

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-16T05:42:17.712196Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e735620d-fac7-4714-b70d-279dadaefa87 · outbound

This paper cites Fastrack: A modular framework for fast and guaranteed safe motion planning.

HJRNO: Hamilton-Jacobi Reachability with Neural Operators Fastrack: A modular framework for fast and guaranteed safe motion planning

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:42:17.940585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ee278b44-f979-410c-a2d8-e977cb994d30 · outbound

This paper cites Neu- ral operator: Learning maps between function spaces with applications to pdes.

HJRNO: Hamilton-Jacobi Reachability with Neural Operators Neu- ral operator: Learning maps between function spaces with applications to pdes

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:42:17.927716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5d7239ec-b76d-4a70-8099-6c76b93bd574 · outbound

This paper cites Fourier neural operator with learned deformations for pdes on general ge- ometries.

HJRNO: Hamilton-Jacobi Reachability with Neural Operators Fourier neural operator with learned deformations for pdes on general ge- ometries

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:42:17.914260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7042f3c0-6130-452a-8dbd-295bc13f4986 · outbound

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

HJRNO: Hamilton-Jacobi Reachability with Neural Operators Fourier Neural Operator for Parametric Partial Differential Equations

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-16T05:42:17.728382Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f758561b-55cd-4088-bb46-fc8d1408d265 · outbound

This paper cites Neural Operator: Graph Kernel Network for Partial Differential Equations.

HJRNO: Hamilton-Jacobi Reachability with Neural Operators Neural Operator: Graph Kernel Network for Partial Differential Equations

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-16T05:42:17.732461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 366ae3ef-d07c-4e91-8e16-9b9578c4cf31 · outbound

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

HJRNO: Hamilton-Jacobi Reachability with Neural Operators DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-16T05:42:17.738069Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4d1622a3-203b-4ec7-b696-6f00b796acda · outbound

This paper cites hj reachability: Hamilton-jacobi reachability analysis in jax.

HJRNO: Hamilton-Jacobi Reachability with Neural Operators hj reachability: Hamilton-jacobi reachability analysis in jax

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:42:17.901333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a4424044-0c80-4324-af49-06de5da1fb22 · outbound

This paper cites Guaranteeing constraints of disturbed nonlinear systems using set-based optimal control in generator space.

HJRNO: Hamilton-Jacobi Reachability with Neural Operators Guaranteeing constraints of disturbed nonlinear systems using set-based optimal control in generator space

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:42:17.888264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b0ee1067-c431-4872-9871-5c319d6dbd53 · outbound

This paper cites Exact Imposition of Safety Boundary Conditions in Neural Reachable Tubes.

HJRNO: Hamilton-Jacobi Reachability with Neural Operators Exact Imposition of Safety Boundary Conditions in Neural Reachable Tubes

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-16T05:42:17.751218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d5822a5-3cc6-4b2d-8317-07512c43e9a5 · outbound

This paper cites A Physics-Informed Machine Learning Framework for Safe and Optimal Control of Autonomous Systems.

HJRNO: Hamilton-Jacobi Reachability with Neural Operators A Physics-Informed Machine Learning Framework for Safe and Optimal Control of Autonomous Systems

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-16T05:42:17.755502Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation c91f8bcb-792d-4b20-be67-766537d75499 · inbound

Towards General Language-Conditioned Latent Safety Filters cites this paper.

Towards General Language-Conditioned Latent Safety Filters HJRNO: Hamilton-Jacobi Reachability with Neural Operators

Reference 229

Resolution: unresolved; no resolver link, observed 2026-08-04T00:49:36.716960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.