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Paper Citation Record · LEDGER

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions

As of 18 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 1 inbound Pith citation observation for arXiv:2508.20204.

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

pith.paper-citation-record.v1
2508.20204 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T15:28:49.417483Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-18T15:16:28.518229Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T15:16:32.227757Z

Reference resolution

29 of 29 outbound references displayed

  • verified exact0
  • verified fuzzy25
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4bb321b3-ab6a-491f-8d1e-b172b74b57de · outbound

This paper cites Probabilistic reachability and safety for controlled discrete time stochastic hybrid systems.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Probabilistic reachability and safety for controlled discrete time stochastic hybrid systems

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:54.066337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation ff24f66f-bc28-4348-ba34-6ce13cc0b565 · outbound

This paper cites an unresolved cited work.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-05T15:28:53.937746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:46.607313Z digest=sha256:2dea5b433d12429d8a4b1dc1947935207878a966e6a8e1cacb580b5f5151cba9

Observation 290da2ad-2999-4fca-9bd4-3b495a08396e · outbound

This paper cites an unresolved cited work.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-05T15:28:53.757183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:46.744403Z digest=sha256:f7be6e6a21f6c59b95e0cd7509182e0eb83205d06f8b202038a4a992c89c9534

Observation d63da314-b3df-48cf-9f36-7ffe9ad633ac · outbound

This paper cites Programmatic strategy synthesis: Resolving nondeterminism in probabilistic programs.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Programmatic strategy synthesis: Resolving nondeterminism in probabilistic programs

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:53.584896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:46.863163Z digest=sha256:495eecdda7b4eb35a0a0db6aa2e2030a3eae0684cfd82e0c0ff7db7554d9fd0d

Observation cd91b172-aefb-4ed7-bdd2-9ec28ea99196 · outbound

This paper cites Optimal inequalities in probability theory: A convex optimization approach.SIAM Journal on Optimization , 15(3):780–804, 2005.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Optimal inequalities in probability theory: A convex optimization approach.SIAM Journal on Optimization , 15(3):780–804, 2005

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:53.427013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:46.930852Z digest=sha256:955c9be884545ba5dbf43afd62e4a958c6bdb993fafb925c9e4ac120a6bfe9cf

Observation 735374a1-edde-4a2f-92f7-fb386c30a709 · outbound

This paper cites Risk- sensitive safety analysis using conditional value-at-risk.IEEE Transactions on Automatic Control, 67(12):6521–6536, 2021.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Risk- sensitive safety analysis using conditional value-at-risk.IEEE Transactions on Automatic Control, 67(12):6521–6536, 2021

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:53.284260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:47.041123Z digest=sha256:a8dc263a8570a121eff6fdf1c76e48d7fc5f2fe6f81324e9f0cf8e82b94be9a2

Observation 5d04e1d8-6193-4eba-bc88-4ff9546a4ae6 · outbound

This paper cites Safe control in the presence of stochastic uncertainties.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Safe control in the presence of stochastic uncertainties

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:53.142166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 0aca8a49-34ad-4968-b7aa-63849957ada3 · outbound

This paper cites Distributionally robust optimization under moment uncertainty with application to data-driven problems.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Distributionally robust optimization under moment uncertainty with application to data-driven problems

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:52.995786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:47.230293Z digest=sha256:c8d347bcb7f381161030dfb38d5fc0135290544797b02cea2403c7435da42e86

Observation 7070c9ba-8080-460a-a3a1-47e50aaf0c5a · outbound

This paper cites Real analysis: modern techniques and their applications, volume 40.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Real analysis: modern techniques and their applications, volume 40

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:52.852671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:47.332496Z digest=sha256:896bea8923e16eef78367aa81c7341da8d992bab5e1c34277c375d5a4cbca479

Observation bce265f2-08fd-43bf-9717-b2129feebd8d · outbound

This paper cites Robust nonlinear control design: state-space and Lyapunov techniques.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Robust nonlinear control design: state-space and Lyapunov techniques

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:52.652562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:47.407749Z digest=sha256:b5d49e086f407de833f478f617c3fd739a2d5a09eb08af7961b98ca5ae61b1a2

Observation f3a65e4e-6872-4cf6-9ea9-c874a81922d2 · outbound

This paper cites Johnson, Samuel Kotz, and Narayanaswamy Balakrishnan.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Johnson, Samuel Kotz, and Narayanaswamy Balakrishnan

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:52.495993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:47.516048Z digest=sha256:90af68692e747efd8ba47643a2776cf1c6e7cbc204221e9061ce52a6137174d5

Observation e49b028d-8805-49b3-9974-45a766e35eb0 · outbound

This paper cites Safety barrier certificates for stochastic hybrid systems.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Safety barrier certificates for stochastic hybrid systems

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:52.359306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:47.634456Z digest=sha256:ddb0fb5c7561cfbeea49c1ea59cdb77bd1b42454acf508e02b2728c7b2297c0c

Observation cb3754b4-b325-4562-b93c-0147e9cf7408 · outbound

This paper cites A converse robust-safety theorem for differential inclusions.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions A converse robust-safety theorem for differential inclusions

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:52.197246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:47.788877Z digest=sha256:f98806ccf1680fac67d690cdc0bfdfce83706194d2893ca99286fb29a7535e09

Observation 32e53bb6-577d-4152-b0b7-8bc124dd2141 · outbound

This paper cites Sufficient conditions for robust safety in differential inclusions using barrier functions.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Sufficient conditions for robust safety in differential inclusions using barrier functions

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:52.038812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:47.935419Z digest=sha256:f02968707e8d6cf37c16ac1c6b6386c85848abf5ed9a7ae07ed12b6d4f360b32

Observation ef095e1b-cfa2-40a3-bd3c-beb9373e4c07 · outbound

This paper cites Abstraction, Refinement and Proof for Probabilistic Systems.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Abstraction, Refinement and Proof for Probabilistic Systems

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:51.866555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:48.014671Z digest=sha256:6e50b1124d5ff0643df38e50563344d0d0536113cb5706ff0c09b58593f642e7

Observation 1b03fc22-9e19-4b71-b84c-8b197b6dfb10 · outbound

This paper cites Stochastic differential equations: an introduction with applications.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Stochastic differential equations: an introduction with applications

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:51.708173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:48.114732Z digest=sha256:d75c9f71463c23a1cd73a8265ac7d8e6688261097fb3ec9a319c00c06ec8fabd

Observation 4ae145ff-79bf-46f3-8d94-8eaf8c743e74 · outbound

This paper cites Pflug and D.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Pflug and D

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:51.566859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:48.203174Z digest=sha256:d88d77fa0c8b3fc620686730b51fddc034b2c881357e667be136289383acc4d2

Observation d4f96ba9-b02c-483a-8627-789182f08fa2 · outbound

This paper cites A lyapunov theorem certifying global weak reachability for stochastic difference inclusions with random inputs.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions A lyapunov theorem certifying global weak reachability for stochastic difference inclusions with random inputs

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:51.390721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:48.282425Z digest=sha256:d4f2b39acbaacc9140b34f87819faf45f9999cc16cb47c7c557fa8ff3ae4a9f2

Observation 383d237a-5899-4fb0-a936-b8273adb31fe · outbound

This paper cites Prajna and A.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Prajna and A

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:51.223339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:48.374311Z digest=sha256:5ed967d9d6f977bc4daf460cff5490ecd8c3465ddba7e285ada4d8d8d7930d37

Observation c9e44623-31c2-4152-8120-bdf6621349b7 · outbound

This paper cites Stochastic safety verification using barrier certificates.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Stochastic safety verification using barrier certificates

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:51.065280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:48.463358Z digest=sha256:1295d4f6897cf4f811ff8636758bfd5c756a257129e6e54596bdf6af34405ac1

Observation a674ba40-3e0c-4a3c-ad3f-d7891edea72a · outbound

This paper cites Frameworks and results in distributionally robust optimization.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Frameworks and results in distributionally robust optimization

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:50.899749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:48.573276Z digest=sha256:a5002b48e145c864ca1fa082968f93fd061dd1e243b7e56d4883518ada56d2bf

Observation e012253a-ca22-48ba-9f83-cd818754e09e · outbound

This paper cites an unresolved cited work.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-05T15:28:50.756420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:48.677468Z digest=sha256:000f81f1f4affcf64a17d3a76310b9a7a30a22a6783f8eee51f834c9755206ba

Observation 23634933-52bd-4ed8-a553-117797bbee41 · outbound

This paper cites Probabilistic reachability and invariance computation of stochastic systems using linear programming.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Probabilistic reachability and invariance computation of stochastic systems using linear programming

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:50.643768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:48.777581Z digest=sha256:08a5ee1193832e2b78d79b7e69a69cd4a9b8b8103aa7f0a70b9e67d4f9227696

Observation f96bd920-538a-4faf-9675-1998b85442b5 · outbound

This paper cites Data- driven distributionally robust safety verification using barrier certificates and conditional mean embeddings.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Data- driven distributionally robust safety verification using barrier certificates and conditional mean embeddings

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:50.422076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:48.893958Z digest=sha256:d9c7bd1545a05ae1425a418bee25d9b2f3ed20581177ba5422a94d184d0bf15f

Observation 1e063668-d0bb-46f8-95b6-924e8f5de036 · outbound

This paper cites Finite-time regional verification of stochastic non-linear systems.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Finite-time regional verification of stochastic non-linear systems

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:50.225109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:48.979013Z digest=sha256:7827cc4f60cf90ea3e0ca4aee36aad484d21f1038ba8daf9799795daf64caa07

Observation 4dd510c8-2b17-4982-9f4d-c92bf09d133b · outbound

This paper cites Verification of discrete time stochastic hybrid systems: A stochastic reach-avoid decision problem.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Verification of discrete time stochastic hybrid systems: A stochastic reach-avoid decision problem

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-05T15:28:49.067687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T15:28:49.067687Z digest=sha256:9d57756dc1b555b8c39b1c2041711337a274295051ce7d059b674f747536e12a

Observation 8fcac40b-212a-4876-84ec-61326fdb9100 · outbound

This paper cites A distributionally robust approach to regret optimal control using the wasserstein distance.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions A distributionally robust approach to regret optimal control using the wasserstein distance

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:50.021679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:49.177742Z digest=sha256:694116c64c30ba22d5a9be514a5cd95fc214b7a480bcec6c25b0f742c77ad270

Observation 81bd9108-380d-4eae-8305-6b5b87d0ffc2 · outbound

This paper cites Safety of stochastic systems: An analytic and computational approach.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions Safety of stochastic systems: An analytic and computational approach

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:49.837145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:49.301493Z digest=sha256:557c5cb0245951dcdd636c2ed6fc11d4715efc364fe9e413e7dd8eee468cf770

Observation 00332120-6bef-45b7-b5ea-f879e52f633c · outbound

This paper cites A dynamic game approach to distributionally robust safety specifications for stochastic systems.

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions A dynamic game approach to distributionally robust safety specifications for stochastic systems

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T15:28:49.631618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T15:28:49.417483Z digest=sha256:8d93c89c32b2a365e2d90363852ba0cfeccbec0047b55ca68fcb45bf17f78b51

Pith citing papers

Observation 91dccb62-b63b-4be7-a2c9-cea06712d7f0 · inbound

Refined Barrier Conditions for Finite-Time Safety and Reach-Avoid Guarantees in Stochastic Systems cites this paper.

Refined Barrier Conditions for Finite-Time Safety and Reach-Avoid Guarantees in Stochastic Systems Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-18T15:16:32.231127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-18T15:16:28.518229Z digest=sha256:a7979840e8af84ae4524ffc84a8412a8ca80fb93b6c2f15261a992255e079b24