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Paper Citation Record · LEDGER

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity

As of 19 August 2026, this Paper Citation Record lists 66 of 66 outbound references and 0 inbound Pith citation observations for arXiv:2607.18606.

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

pith.paper-citation-record.v1
2607.18606 v1

Coverage vector

measured 66 of 66 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T15:06:37.469662Z

measured 66 of 66 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

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Source: cited_works

Reference resolution

66 of 66 outbound references displayed

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External citation measurements

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Outbound references

Observation dd11bc92-3b02-4203-8409-08d3ba0e6770 · outbound

This paper cites an unresolved cited work.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Unresolved cited work

Reference 1

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Observation 9e97c566-bbd8-40da-b035-629358e678b0 · outbound

This paper cites an unresolved cited work.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Unresolved cited work

Reference 2

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Observation 77df6b4d-01e1-4063-ba6f-77b8a0293def · outbound

This paper cites Ivanov, T.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Ivanov, T

Reference 3

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Observation c5323ac0-4dff-434d-8457-81a01e0494a2 · outbound

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Unresolved cited work

Reference 4

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Observation 8550355b-a265-4b22-b7ad-00ca7f7826ae · outbound

This paper cites Bansal, M.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Bansal, M

Reference 5

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Observation 78b65676-9b1d-4e39-b57e-46dce412a08c · outbound

This paper cites Chen and C.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Chen and C

Reference 6

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Unresolved cited work

Reference 7

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Unresolved cited work

Reference 8

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Observation ffac0b02-5bc4-4989-abee-0573ca809817 · outbound

This paper cites Selim, A.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Selim, A

Reference 9

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Observation 23907056-e8d8-4087-b19e-17ef4f1077bf · outbound

This paper cites Ganai, Z.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Ganai, Z

Reference 10

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Liu and E

Reference 11

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This paper cites Symplectic Inductive Bias for Data-Driven Target Reachability in Hamiltonian Systems.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Symplectic Inductive Bias for Data-Driven Target Reachability in Hamiltonian Systems

Reference 12

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Observation 55f2c6d6-247e-4888-8ba0-a7535fb7870a · outbound

This paper cites Williams, P.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Williams, P

Reference 13

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Unresolved cited work

Reference 14

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Data-driven Acceleration of MPC with Guarantees

Reference 15

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Observation d81b04bf-c529-4f57-bdc0-afedfee303ac · outbound

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Liebenwein, C

Reference 16

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Observation ceb37cb7-9908-4bcd-b136-79e6f38fff88 · outbound

This paper cites Devonport, F.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Devonport, F

Reference 17

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This paper cites Devonport, F.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Devonport, F

Reference 18

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Observation 18c3a212-c730-4a33-9daf-00245b6fd437 · outbound

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Lew and M

Reference 19

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Unresolved cited work

Reference 20

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Devroye and G

Reference 21

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Unresolved cited work

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Unresolved cited work

Reference 23

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Arias-Castro, B

Reference 24

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Unresolved cited work

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Observation cc61a76d-6985-47c3-8249-e2e699fb6939 · outbound

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Rataj and M

Reference 26

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Observation bad3a0a4-c228-4ec6-903b-baaf7fe68b20 · outbound

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Raissi, P

Reference 27

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Duong and N

Reference 28

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Singh, B

Reference 29

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Greydanus, M

Reference 30

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Djeumou, C

Reference 31

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Unresolved cited work

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Unresolved cited work

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Devonport and M

Reference 34

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Dietrich, R

Reference 35

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Sartipizadeh, A

Reference 36

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This paper cites Dietrich, A.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Dietrich, A

Reference 37

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Hewing and M

Reference 38

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Unresolved cited work

Reference 39

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Unresolved cited work

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Observation a257d7cb-0c8c-49ca-be8b-b8ea007381c3 · outbound

This paper cites an unresolved cited work.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Unresolved cited work

Reference 41

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Observation 549e9794-0cd7-4dea-b7c3-bc8775690528 · outbound

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Unresolved cited work

Reference 42

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Observation 6de1d83f-9a42-4d3a-94d0-ca11a02c8cf9 · outbound

This paper cites Fazlyab, A.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Fazlyab, A

Reference 43

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Observation 57b955d9-78d0-4283-9f1a-1f03f5f72f47 · outbound

This paper cites Latorre, P.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Latorre, P

Reference 44

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Observation 3de530f8-6292-4e71-bd90-37a6ac8c6147 · outbound

This paper cites Shafer and V.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Shafer and V

Reference 45

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Observation 696c4745-f845-45f1-8d52-0de602466f8e · outbound

This paper cites Lindemann, Y.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Lindemann, Y

Reference 46

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Observation 7672553c-1d26-440b-8b4a-d2eda43a36c8 · outbound

This paper cites an unresolved cited work.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Unresolved cited work

Reference 47

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Observation 88b8fe1f-e0b8-4f10-a19c-631299cbdc30 · outbound

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On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Unresolved cited work

Reference 48

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Observation 82407e25-d38c-415e-baee-830890657090 · outbound

This paper cites Tabbara, Y.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Tabbara, Y

Reference 49

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Observation 2cef04bd-643d-490b-a798-6ce2620a6f82 · outbound

This paper cites Lindemann, M.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Lindemann, M

Reference 50

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Observation bd28f23d-bd45-49fb-bb14-89768ca7f098 · outbound

This paper cites Tebjou, G.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Tebjou, G

Reference 51

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Observation 920432f6-b96e-4a25-b591-f2cdc9882bf2 · outbound

This paper cites Bansal and C.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Bansal and C

Reference 52

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Observation 13ac2a94-b295-4530-b476-b154e0f1656b · outbound

This paper cites Lin and S.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Lin and S

Reference 53

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Observation 728bb760-6971-461a-a3bb-511b15b4d7ad · outbound

This paper cites Hashemi, X.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Hashemi, X

Reference 54

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Observation 9e4ae174-6dc3-48a5-9e5f-45cc9b52ad06 · outbound

This paper cites Hashemi, L.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Hashemi, L

Reference 55

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source=pdf_text observed=2026-08-01T15:06:36.669653Z digest=sha256:0f1f812568e539b5a81d90d1a248656adc3cae8a5bb48dec20cc4501d0616124

Observation 8a4b9446-1968-480a-aab9-995ca318ae6c · outbound

This paper cites Bullo.Contraction Theory for Dynamical Systems.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Bullo.Contraction Theory for Dynamical Systems

Reference 56

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Observation 54a51853-4bb4-414b-b75f-1781902f1d0c · outbound

This paper cites an unresolved cited work.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Unresolved cited work

Reference 57

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Observation d5529848-2ec0-4abe-8a32-f9cfa467c070 · outbound

This paper cites Goodfellow, J.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Goodfellow, J

Reference 58

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Observation d7893162-1dda-4afe-ae0f-ca311d6c8411 · outbound

This paper cites an unresolved cited work.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Unresolved cited work

Reference 59

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Observation 908031ed-4952-48b1-9a9e-24bae7df132f · outbound

This paper cites Rodriguez-Casal and P.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Rodriguez-Casal and P

Reference 60

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source=pdf_text observed=2026-08-01T15:06:37.107676Z digest=sha256:15d2e522f7d0dfa8ba5b4ca32dc4278ea42a148b52e0dbc0246112ca34c754f1

Observation 0a61745a-8bce-4874-bee5-34e1d989ea37 · outbound

This paper cites an unresolved cited work.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Unresolved cited work

Reference 62

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source=pdf_text observed=2026-08-01T15:06:37.176925Z digest=sha256:9f7ec3159049d86c274901b1adc64e8eeb4e896c89abe36e00353073cc008f61

Observation b9bc08ef-7c7e-4be9-9e81-1910171b9c64 · outbound

This paper cites an unresolved cited work.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Unresolved cited work

Reference 63

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source=pdf_text observed=2026-08-01T15:06:37.252615Z digest=sha256:487d7e204b9506216da2ac72b433b580bccc1bf6ffa619298a26487a5a114acd

Observation 5e41e389-307a-4ee5-9138-d04237413bab · outbound

This paper cites an unresolved cited work.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Unresolved cited work

Reference 64

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source=pdf_text observed=2026-08-01T15:06:37.321883Z digest=sha256:4ce3ba564668eebdc545749e0db526233817e403a89394b8e3c6e4e3e07abe68

Observation f20a9e52-bf6e-42fb-a694-c22d45041d66 · outbound

This paper cites First, we prove the upper Lipschitz bound.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity First, we prove the upper Lipschitz bound

Reference 65

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Observation 0a6a4338-0734-423c-9b5a-6dc3303dffa3 · outbound

This paper cites Hence sup ℓ∈{0,1} (P (ℓ) T )N dH ( bSN , S(ℓ) T )> r ≥ 1 2 exp −2N h R n = 1 2 exp −2N(2 +α) ne−nLT r R n.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity Hence sup ℓ∈{0,1} (P (ℓ) T )N dH ( bSN , S(ℓ) T )> r ≥ 1 2 exp −2N h R n = 1 2 exp −2N(2 +α) ne−nLT r R n

Reference 66

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source=pdf_text observed=2026-08-01T15:06:37.469662Z digest=sha256:ac7e7efbc5c0e8e78e0da50234575996f3dc9346a9ecb03821aa58c3303fd13e

Observation 447b0a7b-e130-4fe5-8192-6f30a0e589ae · outbound

This paper cites URLhttps://fbullo.github.io/ctds.

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity URLhttps://fbullo.github.io/ctds

Reference 2024

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source=pdf_text observed=2026-08-01T15:06:36.801515Z digest=sha256:d865f5653300306c23ffed04211d01fdecc0ac898c25abd3c93ca1457ff24e2f

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