Paper Citation Record · LEDGER

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning

As of 20 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2607.07893.

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

pith.paper-citation-record.v1
2607.07893 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-10T15:54:48.026121Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

30 of 30 outbound references displayed

verified exact5
verified fuzzy24
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a63fd0b9-ceb1-4cd8-9168-472d87bc402c · outbound

This paper cites Akametalu, Shromona Ghosh, Jaime F.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Akametalu, Shromona Ghosh, Jaime F

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:57:20.885073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5bb8a948-0d0d-4444-ba9a-35109cce95cf · outbound

This paper cites Learning dexterous in-hand manipulation.The International Journal of Robotics Research, 39(1):3– 20, 2020.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Learning dexterous in-hand manipulation.The International Journal of Robotics Research, 39(1):3– 20, 2020

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:57:20.846293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b0e89efa-db7d-41b3-beac-e6f0d1b89a9a · outbound

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

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Hamilton- jacobi reachability: A brief overview and recent advances

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:57:20.867588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b1f33a20-c3fa-4d80-951a-fc46688b3622 · outbound

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

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Deepreach: A deep learning approach to high-dimensional reachability

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:57:20.844307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fabb5a72-80a5-46b2-a728-7b3da82aedfb · outbound

This paper cites Springer.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Springer

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:57:20.848228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8aae9330-fe1d-4e36-a7f8-2d580b87c48f · outbound

This paper cites Bertsekas and John N.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Bertsekas and John N

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:57:20.873456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d4402c54-4967-4aef-a21a-a165e6dc0dad · outbound

This paper cites Robust control barrier–value functions for safety- critical control.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Robust control barrier–value functions for safety- critical control

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:57:20.865540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3ecc579e-21d8-47bb-8343-e04ce67b8302 · outbound

This paper cites an unresolved cited work.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-07-10T15:57:20.863607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ca7ab78d-0037-4261-b7eb-68d3c442246f · outbound

This paper cites Magnetic control of tokamak plasmas through deep reinforcement learning.Nature, 602(7897):414– 419, 2022.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Magnetic control of tokamak plasmas through deep reinforcement learning.Nature, 602(7897):414– 419, 2022

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:57:20.840103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7ca5bcf0-a5b0-4c3b-be67-98de4c4325f0 · outbound

This paper cites Bridging hamilton-jacobi safety analysis and reinforcement learning.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Bridging hamilton-jacobi safety analysis and reinforcement learning

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:57:20.861791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7c15492b-3b49-43a8-8922-c7d046c5623f · outbound

This paper cites Hamilton-jacobi reachability estimation in reinforcement learning.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Hamilton-jacobi reachability estimation in reinforcement learning

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:57:20.883268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 54da9fe7-917d-4d6b-b1aa-1386403666d8 · outbound

This paper cites Hamilton-jacobi reachability in reinforcement learning: A survey.IEEE Open Journal of Control Systems, 3:310–324, 2024.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Hamilton-jacobi reachability in reinforcement learning: A survey.IEEE Open Journal of Control Systems, 3:310–324, 2024

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:57:20.886956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5608a162-0336-4288-b452-6edc1c16e9ee · outbound

This paper cites Springer, 2003.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Springer, 2003

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:57:20.858183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 496e4ce7-e39e-48b1-8d63-6d36efe5479a · outbound

This paper cites Scalable learning of safety guarantees for autonomous systems using hamilton-jacobi reachability.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Scalable learning of safety guarantees for autonomous systems using hamilton-jacobi reachability

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:57:20.860035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation cbc12ae6-415d-4988-906a-cd44175655b8 · outbound

This paper cites Safety and Liveness Guarantees through Reach-Avoid Reinforcement Learning.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Safety and Liveness Guarantees through Reach-Avoid Reinforcement Learning

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-07-10T15:57:20.799854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8d82eb6c-850b-45b2-8925-8a049f677d8f · outbound

This paper cites A hopf-lax formula in hamilton– jacobi analysis of reach-avoid problems.IEEE Control Systems Letters, 5(3):1055–1060, 2020.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning A hopf-lax formula in hamilton– jacobi analysis of reach-avoid problems.IEEE Control Systems Letters, 5(3):1055–1060, 2020

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:57:20.869743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 719103bd-57cb-48b1-80a6-feca0d57bc26 · outbound

This paper cites Con- verse barrier certificates for finite-time safety verification of continuous- time perturbed deterministic systems.Systems & Control Letters, 209:106357, 2026.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Con- verse barrier certificates for finite-time safety verification of continuous- time perturbed deterministic systems.Systems & Control Letters, 209:106357, 2026

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:57:20.856425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4133079c-0d91-4963-b136-7679bc3b1bbf · outbound

This paper cites On reachability and minimum cost optimal control.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning On reachability and minimum cost optimal control

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:57:20.854303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 860eaa32-4e26-4a55-907b-cfa53d83af4a · outbound

This paper cites Kavukcuoglu, David Silver, Andrei A.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Kavukcuoglu, David Silver, Andrei A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:57:20.850254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 57591cb7-3f80-4b3c-8491-feb0580525fe · outbound

This paper cites Error bounds for approximate value iteration.Proceedings of the National Conference on Artificial Intelligence (AAAI), 2005.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Error bounds for approximate value iteration.Proceedings of the National Conference on Artificial Intelligence (AAAI), 2005

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:57:20.871773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1949a59c-a52f-483d-87ed-1078e32999fa · outbound

This paper cites Finite-time bounds for fitted value iteration.Journal of Machine Learning Research, 9:815–857, 2008.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Finite-time bounds for fitted value iteration.Journal of Machine Learning Research, 9:815–857, 2008

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:57:20.881449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8bbdf55d-2fbf-4c44-9db7-8c54b052f23c · outbound

This paper cites Dual- objective reinforcement learning with novel hamilton-jacobi-bellman formulations.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Dual- objective reinforcement learning with novel hamilton-jacobi-bellman formulations

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-07-10T15:57:20.789928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0f5c673a-92ba-4316-b7f1-cd270c973fc7 · outbound

This paper cites Bellman Value Decomposition for Task Logic in Safe Optimal Control.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Bellman Value Decomposition for Task Logic in Safe Optimal Control

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-07-10T15:57:20.786910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 17f03e30-3856-4236-aebf-2fd3250f22e8 · outbound

This paper cites Mastering the game of go with deep neural networks and tree search.nature, 529(7587):484–489.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Mastering the game of go with deep neural networks and tree search.nature, 529(7587):484–489

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:57:20.875412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bddd4168-2700-4c01-809b-6fc710ecc10f · outbound

This paper cites A general reinforcement learning algorithm that masters chess, shogi, and go through self-play.Science, 362(6419):1140–1144.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning A general reinforcement learning algorithm that masters chess, shogi, and go through self-play.Science, 362(6419):1140–1144

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:57:20.852280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e00f0114-5384-4481-9069-e10bed96447e · outbound

This paper cites Mastering the game of go without human knowledge.nature, 550(7676):354–359.

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:57:20.841939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6afb4f47-709c-4ae5-b52f-1e973520d1da · outbound

This paper cites Unifying Hamilton-Jacobi Reachability and Reinforcement Learning.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Unifying Hamilton-Jacobi Reachability and Reinforcement Learning

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-07-10T15:57:20.795345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3f4b3fb4-1966-403a-b305-229a93dd243e · outbound

This paper cites van Beers, Erik-Jan van Kampen, and Coen C.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning van Beers, Erik-Jan van Kampen, and Coen C

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-07-10T15:57:20.792784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7e98bfa6-0e3e-4679-a9bb-72c82b5c0dde · outbound

This paper cites Grandmaster level in starcraft ii using multi-agent reinforcement learning.nature, 575(7782):350–354, 2019.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Grandmaster level in starcraft ii using multi-agent reinforcement learning.nature, 575(7782):350–354, 2019

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:57:20.877361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c9cfd346-4651-4383-a569-d5fbeb452048 · outbound

This paper cites Inner-approximating reachable sets for polynomial systems with time-varying uncertainties.

Reachability-Preserving Bellman Operator for the Discounted Reach-Cost Value Function: Uniting Hamilton-Jacobi Reachability and Reinforcement Learning Inner-approximating reachable sets for polynomial systems with time-varying uncertainties

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T15:57:20.879312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

No inbound Pith citation observations are available.