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Paper Citation Record · LEDGER

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks

As of 7 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2506.15693.

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

pith.paper-citation-record.v1
2506.15693 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:35:51.819676Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-01T01:19:12.424654Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T13:05:44.247464Z

Reference resolution

24 of 24 outbound references displayed

  • verified exact3
  • verified fuzzy15
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2fbd3cc5-6894-486f-916e-d71b5a4655ea · outbound

This paper cites Control barrier functions: Theory and applications.

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks Control barrier functions: Theory and applications

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:56.169656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation d2f5a5e3-9871-47ba-b34a-963866c08cc0 · outbound

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

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks Robust control barrier–value functions for safety- critical control

Reference 2

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verified fuzzy
raw_fallback, observed 2026-08-07T13:35:55.980398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:35:49.299062Z digest=sha256:8fa63790596005e1b8f487cb0561ebb782dbfbe628729ec6957dfaf22729658c

Observation 96548dce-dc70-4b0d-bbfa-57f86b29b40d · outbound

This paper cites Safe control with learned certificates: A survey of neural lyapunov, barrier, and contrac- tion methods for robotics and control.

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks Safe control with learned certificates: A survey of neural lyapunov, barrier, and contrac- tion methods for robotics and control

Reference 3

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no resolver link, observed 2026-08-07T13:35:49.372262Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:35:49.372262Z digest=sha256:e8715a1076f56924f288a785416d92653591831dae57f66f07b13599629cb901

Observation ab0d5b9b-0339-449c-9b37-5bf3d2ae782a · outbound

This paper cites Fisac, Neil F.

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks Fisac, Neil F

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:55.844298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:35:49.456326Z digest=sha256:23cfd9e7923b9003bcdecd4ed4b9ae295c310dba1340273871cac51f87f8e086

Observation c3655757-be72-43ef-a0fb-7d4e8e1d34d1 · outbound

This paper cites Hamilton-Jacobi Reachability in Reinforcement Learning: A Survey.

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks Hamilton-Jacobi Reachability in Reinforcement Learning: A Survey

Reference 5

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verified exact
local_arxiv, observed 2026-08-07T13:35:52.684774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:35:49.567353Z digest=sha256:b09c0cb178e0e6661debaa0397a1ca7041eea04143a7854c78616e01ee81a2d9

Observation aa990a63-3cce-495c-a024-54dd8ea96872 · outbound

This paper cites Learning to be Safe: Deep RL with a Safety Critic.

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks Learning to be Safe: Deep RL with a Safety Critic

Reference 6

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unresolved
no resolver link, observed 2026-08-07T13:35:49.671135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:35:49.671135Z digest=sha256:681c9790af7d9fcb814c6dfd2bec1852b6fe53a37f5d90af50d96cbbe126bb0e

Observation b9aa0a19-8f82-4431-8c08-f5dd8cf8e781 · outbound

This paper cites Real-time safe control of neural network dynamic models with sound approximation.

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks Real-time safe control of neural network dynamic models with sound approximation

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:55.615762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:35:49.780643Z digest=sha256:0069ce596b8235bde67e5de31391b00355d1376c8a282887411235235b2a5c64

Observation 2856e483-8af5-43e8-b5b1-948c7d94edf9 · outbound

This paper cites Verification of neural control barrier functions with symbolic derivative bounds propagation.

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks Verification of neural control barrier functions with symbolic derivative bounds propagation

Reference 8

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verified fuzzy
raw_fallback, observed 2026-08-07T13:35:55.409438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:35:49.904966Z digest=sha256:11388367a698f58ca2a94eb18f02068d8e7ff6e3fb5f805858cd02f9c59343e2

Observation 2a5e0557-462b-4203-a235-e45121d5b6f0 · outbound

This paper cites Factorized Bilinear Models for Image Recognition.

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks Factorized Bilinear Models for Image Recognition

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:35:52.526930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:35:50.014258Z digest=sha256:ac30b4c9e18b0b5508de4a525e2802e9e148ad901de38bd60d64169911e9fba8

Observation aeab106f-690f-43dc-bd56-26351dff7755 · outbound

This paper cites Algorithms for Verifying Deep Neural Networks.

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks Algorithms for Verifying Deep Neural Networks

Reference 10

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no resolver link, observed 2026-08-07T13:35:50.157809Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:35:50.157809Z digest=sha256:65ec8883b9689d7640844612086e27ece3ef10e020628d6e4289cb2875e64a6e

Observation 9e599f86-db14-416b-9ea3-2aa869941b9f · outbound

This paper cites Control in a safe set: Ad- dressing safety in human-robot interactions.

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks Control in a safe set: Ad- dressing safety in human-robot interactions

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:55.132644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:35:50.302400Z digest=sha256:d774cd0ec68f58174a080bcdf2ae5ba13ca1d07b233f40eb895358a1a875adc6

Observation a61981b7-d904-46ad-8425-ab14bd483236 · outbound

This paper cites The flexible, extensible and efficient toolbox of level set methods.

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks The flexible, extensible and efficient toolbox of level set methods

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:54.953835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:35:50.451408Z digest=sha256:03a4ed12a8702309cd47690834a2a1b07ee7b72d1e211c1b9a09635b04d020ce

Observation a7162695-3f2e-45ca-b832-f59350b53cdc · outbound

This paper cites A time-dependent hamilton-jacobi formulation of reachable sets for continuous dynamic games.

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks A time-dependent hamilton-jacobi formulation of reachable sets for continuous dynamic games

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:54.659987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:35:50.610564Z digest=sha256:98c3619dfa029e83892340052745547c100b2971fc6ca20d3e990262c147b5b7

Observation e99585f3-4c27-4dda-aff6-76b02ab28d42 · outbound

This paper cites Rawlings, David Q.

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks Rawlings, David Q

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:54.445561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:35:50.690255Z digest=sha256:484b5de98e2a949f39d6b03d9edb9d49d9df5324e6ee8caaab7d0f324e23e92f

Observation 0492399c-3376-4b85-bcb8-155b7de2c982 · outbound

This paper cites an unresolved cited work.

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks Unresolved cited work

Reference 15

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unresolved
raw_fallback, observed 2026-08-07T13:35:54.273220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:35:50.841336Z digest=sha256:6b4959470d9e8b08ea0056d143c20adf43ea95f7bf87191936846fef05d3664a

Observation 85f2e082-e725-4692-8836-3ec34871f147 · outbound

This paper cites Q-learning-based Model-free Safety Filter.

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks Q-learning-based Model-free Safety Filter

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:35:52.284753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:35:50.981161Z digest=sha256:0a2a1b8c5e13fccc16e7d8904e2540cb2bec562d369977d8eb1bf429e247739c

Observation ddcb117f-d7b9-46c8-a7f7-75ca179fa84c · outbound

This paper cites Evaluating robustness of neural networks with mixed integer programming, 2019.

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks Evaluating robustness of neural networks with mixed integer programming, 2019

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:54.074743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:35:51.082492Z digest=sha256:575d1f779f36070a991390bbd32643102df44f11392a9b353aca05e0f5f55d91

Observation 2b995149-8620-4e4f-a176-cbffcc9df94b · outbound

This paper cites Refining control barrier functions through hamilton-jacobi reachability.

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks Refining control barrier functions through hamilton-jacobi reachability

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:53.861928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:35:51.208120Z digest=sha256:b5dd4c82d6767f56d736e4c17e40538d35320d142e468097538506976e562d0e

Observation 61b37ffd-d4cc-4480-9261-056eb0395814 · outbound

This paper cites Safe control algorithms using energy functions: A unified framework, benchmark, and new directions.

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks Safe control algorithms using energy functions: A unified framework, benchmark, and new directions

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:53.646961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:35:51.327458Z digest=sha256:53377dde0a1a433d786f90f6bfbe2f314a786dcf6ab43c865b165c599c424d68

Observation a3c0c1c8-44ba-4442-9eed-11e995395e64 · outbound

This paper cites ModelVerification.jl: a Comprehensive Toolbox for Formally Verifying Deep Neural Networks.

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks ModelVerification.jl: a Comprehensive Toolbox for Formally Verifying Deep Neural Networks

Reference 20

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T13:35:52.104192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:35:51.426375Z digest=sha256:55ee0e6acb8fe53bf6c13a127f8f6c9b27a154070444c2c9d3c2c5e1d6bf0ad9

Observation 40051687-8aff-4968-b03e-00dfc6887bc1 · outbound

This paper cites High-order control barrier functions.

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks High-order control barrier functions

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:53.437816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:35:51.526604Z digest=sha256:76874c5c121cd4393358837ef970cd92306ad1fd1d32385d631184e9afd55584

Observation 331ba3c3-5a96-4922-88a9-8dcb1592c899 · outbound

This paper cites Scalable Synthesis of Formally Verified Neural Value Function for Hamilton-Jacobi Reachability Analysis.

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks Scalable Synthesis of Formally Verified Neural Value Function for Hamilton-Jacobi Reachability Analysis

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T13:35:51.600102Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:35:51.600102Z digest=sha256:b0ae0fd5c695649ea0db65d2418dd95dce97bb2fcc34ae3d05f5b7bf7cb4ba23

Observation 790ececd-18ec-4913-bd27-0b0bb3b18571 · outbound

This paper cites Efficient neural network robustness certification with general activation functions, 2018.

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks Efficient neural network robustness certification with general activation functions, 2018

Reference 23

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raw_fallback, observed 2026-08-07T13:35:53.235405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:35:51.708520Z digest=sha256:2cfe0ad0715194e60ca4116ea7f2c8fede78dcc465e01017103e643fe0ec07fa

Observation d91299dd-6621-4a70-a06e-7692a4047e80 · outbound

This paper cites Safety index synthesis via sum-of-squares programming.

Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks Safety index synthesis via sum-of-squares programming

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:52.954813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:35:51.819676Z digest=sha256:3f99f3edd7ca5f329685971976fcf33c6bd8e99337c16fa65bed00af1b7918a4

Pith citing papers

Observation fccd5646-33a9-4858-b134-bb3114f025b2 · inbound

ShardNet: Training Neural Controllers with Hard, Non-Convex Constraints cites this paper.

ShardNet: Training Neural Controllers with Hard, Non-Convex Constraints Verifiable Safety Q-Filters via Hamilton-Jacobi Reachability and Multiplicative Q-Networks

Reference 8

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verified exact
arxiv_id, observed 2026-07-01T13:05:44.249451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-07-01T01:19:12.424654Z digest=sha256:b9625980bd1c273b3c0c2324259cf44246749c750c989bdd5c0e962a8b13233e