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Paper Citation Record · LEDGER

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis

As of 11 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2602.20359.

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

pith.paper-citation-record.v1
2602.20359 v3

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T21:25:02.460237Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-10T00:47:16.225401Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-10T00:49:48.566126Z

Reference resolution

26 of 26 outbound references displayed

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  • verified fuzzy0
  • unresolved25
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  • malformed identifier1
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 19f12d87-f096-491a-9309-d084df4b6ded · outbound

This paper cites A., Cauchi, N., Delicaris, J., Hartmanns, A., Khaled, M., Lavaei, A., Pilch, C., Remke, A., Schupp, S., et al.Arch-comp20 category report: Stochastic models.

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis A., Cauchi, N., Delicaris, J., Hartmanns, A., Khaled, M., Lavaei, A., Pilch, C., Remke, A., Schupp, S., et al.Arch-comp20 category report: Stochastic models

Reference 1

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Observation 83e7f40f-d3d5-4593-8ca7-8152f31fd108 · outbound

This paper cites an unresolved cited work.

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis Unresolved cited work

Reference 2

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Observation 0348d9f2-a956-4fbc-a959-dda8759f0ee7 · outbound

This paper cites P., and Shreve, S.

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis P., and Shreve, S

Reference 3

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Observation b3f9d7b8-549c-4ed4-8ecb-159ad5a21aa1 · outbound

This paper cites InProceedings of the 22nd ACM International Conference on Hybrid Systems: Computation and Control(2019), pp.

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis InProceedings of the 22nd ACM International Conference on Hybrid Systems: Computation and Control(2019), pp

Reference 4

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source=pdf_text observed=2026-08-02T21:25:00.784837Z digest=sha256:eed6b83c49984607288594e9e1dd996c76dbedb70f957c231a971ea7b6fe9cb4

Observation 66f7ae18-8756-4100-9090-cc111ab04341 · outbound

This paper cites an unresolved cited work.

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis Unresolved cited work

Reference 5

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source=pdf_text observed=2026-08-02T21:25:00.816316Z digest=sha256:ffdf4110cab2b5156959bceb5537110f78fe82177111fde93509e22200f1e535

Observation 17a0e3f1-1209-453c-93d3-a61eaa443059 · outbound

This paper cites an unresolved cited work.

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis Unresolved cited work

Reference 6

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source=pdf_text observed=2026-08-02T21:25:00.819642Z digest=sha256:cc23826e5dddc6f4301605caf7769f09044b1539d4d8919dfd1efae1458142f5

Observation f183e5e2-9f6f-4ade-a6cf-348b62a93a6b · outbound

This paper cites J.Parallelizing the dual revised simplex method.

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis J.Parallelizing the dual revised simplex method

Reference 7

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source=pdf_text observed=2026-08-02T21:25:00.874989Z digest=sha256:cbb811a6c480382485d9ee6c96955387b183a9b0014925c76b90a5a1e31fce15

Observation 5b1dc287-a4d3-40be-81b2-aa7f9737868a · outbound

This paper cites [9]Legat, B.Multivariate polynomials in Julia.

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis [9]Legat, B.Multivariate polynomials in Julia

Reference 8

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T21:25:00.980991Z digest=sha256:0c3049b8b197daf3a9120a0f920b6eb6e0444e5d754999b2bb7a7f8c0e6e5eb8

Observation 3880a0e6-6eee-4f44-a5af-711998d0f204 · outbound

This paper cites P.JuMP 1.0: Recent improvements to a modeling language for mathematical optimization.Mathematical Programming Computation(2023).

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis P.JuMP 1.0: Recent improvements to a modeling language for mathematical optimization.Mathematical Programming Computation(2023)

Reference 10

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T21:25:01.072423Z digest=sha256:10845d4ff6a37f21d5bc2f5ae9484e7af9a3756621ebcf5f19f26894a2c855f3

Observation a953b7a5-4cec-4572-bb8d-209ba59631a1 · outbound

This paper cites IntervalMDP.jl: Accelerated Value Iteration for Interval Markov Decision Processes.

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis IntervalMDP.jl: Accelerated Value Iteration for Interval Markov Decision Processes

Reference 11

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Observation 41eef03e-8a4e-417f-bd22-d391962ff671 · outbound

This paper cites A data-driven approach for safety quantification of non-linear stochastic systems with unknown additive noise distribution.

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis A data-driven approach for safety quantification of non-linear stochastic systems with unknown additive noise distribution

Reference 12

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T21:25:01.196953Z digest=sha256:242704f83df00a1e2f9183284a7e1d04a10276010b88c4a34392edfbaee02be9

Observation 903ab93a-be5e-4eb4-938f-9e287f33e2d3 · outbound

This paper cites Safety Guarantees for Neural Network Dynamic Systems via Stochastic Barrier Functions.Advances in Neural Information Processing Systems(2022).

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis Safety Guarantees for Neural Network Dynamic Systems via Stochastic Barrier Functions.Advances in Neural Information Processing Systems(2022)

Reference 14

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Unavailable: canonical work link unavailable.

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Observation d5299659-6f2a-422e-92f1-ae1b26f0ecf9 · outbound

This paper cites Piecewise Stochastic Barrier Functions.

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis Piecewise Stochastic Barrier Functions

Reference 15

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Observation 3de2ea3a-b381-4d95-aaa5-e328e7bc3f40 · outbound

This paper cites an unresolved cited work.

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis Unresolved cited work

Reference 16

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Observation e4056c65-f515-4b9a-bdd3-db881f62e158 · outbound

This paper cites M., et al.Julia: come for the syntax, stay for the speed.Nature 572, 7767 (2019), 141–142.

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis M., et al.Julia: come for the syntax, stay for the speed.Nature 572, 7767 (2019), 141–142

Reference 17

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source=pdf_text observed=2026-08-02T21:25:01.467382Z digest=sha256:36f89a26ec3ea0892bf171639b1597cad312023f5a44ef1ef67cb352a8f0943d

Observation c84204ac-d029-4377-8f8a-a1639f683159 · outbound

This paper cites an unresolved cited work.

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis Unresolved cited work

Reference 18

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T21:25:01.527166Z digest=sha256:c7c20c2d7c63d6a629452451a82a401aeabd2ac7d4e2dccacee062c378adfab4

Observation aa5ab2cc-642d-45ea-a6c0-7845d40d5207 · outbound

This paper cites J.A framework for worst-case and stochastic safety verification using barrier certificates.IEEE Transactions on Automatic Control 52, 8 (2007).

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis J.A framework for worst-case and stochastic safety verification using barrier certificates.IEEE Transactions on Automatic Control 52, 8 (2007)

Reference 19

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Observation 600eee24-8ce0-440f-88dd-c78b428c2978 · outbound

This paper cites A.Introducing SOSTOOLS: A General Purpose Sum of Squares Programming Solver.

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis A.Introducing SOSTOOLS: A General Purpose Sum of Squares Programming Solver

Reference 20

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Observation 6043c9be-77fe-413e-a589-f5415df01317 · outbound

This paper cites A., and Dos Santos, P.

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis A., and Dos Santos, P

Reference 21

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Observation 5c8c2efb-0f8e-4489-9bf9-ca2038a878af · outbound

This paper cites an unresolved cited work.

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis Unresolved cited work

Reference 22

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source=pdf_text observed=2026-08-02T21:25:01.841704Z digest=sha256:6095f882cfd3731df1df9ec17e28f83976654f5c5157d2a4925677511566e5db

Observation 364b47a4-f77e-42f3-a199-351690a1461f · outbound

This paper cites [24]Schneeberger, M., Dörfler, F., and Mastellone, S.Sos construction of com- patible control lyapunov and barrier functions.IFAC-PapersOnLine 56, 2 (2023), 10428–10434.

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis [24]Schneeberger, M., Dörfler, F., and Mastellone, S.Sos construction of com- patible control lyapunov and barrier functions.IFAC-PapersOnLine 56, 2 (2023), 10428–10434

Reference 23

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Observation cc5e7229-49fb-47c1-86cc-69573d94979e · outbound

This paper cites Satisfiability.jl: Satisfiability Modulo Theories in Julia.

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis Satisfiability.jl: Satisfiability Modulo Theories in Julia

Reference 25

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Observation 0037eadb-841c-4489-a76f-34b7ef170443 · outbound

This paper cites In2018 Annual American Control Conference (ACC)(2018), IEEE, pp.

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis In2018 Annual American Control Conference (ACC)(2018), IEEE, pp

Reference 26

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Observation 55dd70f1-a33b-408e-aef8-e9d97e680a57 · outbound

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

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis ModelVerification.jl: a Comprehensive Toolbox for Formally Verifying Deep Neural Networks

Reference 27

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Observation 7fcc805d-6a39-4f23-b9df-72a29f46d1e6 · outbound

This paper cites PRoTECT: Parallelized Construction of Safety Barrier Certificates for Nonlinear Polynomial Systems.

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis PRoTECT: Parallelized Construction of Safety Barrier Certificates for Nonlinear Polynomial Systems

Reference 28

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source=pdf_text observed=2026-08-02T21:25:02.310902Z digest=sha256:4d0acc3fff8328cebe0110f679f0841500e6d090b444ef6338600ceb85faceac

Observation 19a3fdde-f9ad-422b-882c-7ddbe49dd60c · outbound

This paper cites linear.

StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis linear

Reference 29

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source=pdf_text observed=2026-08-02T21:25:02.460237Z digest=sha256:60a963d68f759c52c05b437c541ade57aa1a9063bfbaf22490b0cecf498e8cc8

Pith citing papers

Observation 503bd3c8-270a-479c-bf13-91f5dd1bc81f · inbound

Stochastic Barrier Certificates in the Presence of Dynamic Obstacles cites this paper.

Stochastic Barrier Certificates in the Presence of Dynamic Obstacles StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis

Reference 11

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verified exact
arxiv_id, observed 2026-06-25T01:17:50.823448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-10T00:47:16.225401Z digest=sha256:d6c3a76f8ede8eed26b5b8e13fa3a379133df01fef34c3134ba9c49731e3a831