Paper Citation Record · LEDGER

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space

As of 22 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2506.21481.

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

pith.paper-citation-record.v1
2506.21481 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:44:41.715066Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

24 of 24 outbound references displayed

verified exact1
verified fuzzy7
unresolved11
parse uncertain4
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5d95fea8-bdeb-41ad-9574-608013ff3df7 · outbound

This paper cites an unresolved cited work.

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:44:43.486223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8d469527-1e82-4883-937e-fe0a2835b246 · outbound

This paper cites On Positivity and Minimality for Second-Order Holonomic Sequences.

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space On Positivity and Minimality for Second-Order Holonomic Sequences

Reference 2

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T22:44:41.972687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b99e9c8c-2482-43ac-a62c-0671036d0ac9 · outbound

This paper cites an unresolved cited work.

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space Unresolved cited work

Reference 3

Resolution: parse uncertain; raw_fallback, observed 2026-08-06T22:44:43.741407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f833e9c4-27da-431e-b4ae-e76f14df52e6 · outbound

This paper cites an unresolved cited work.

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:44:43.789721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d85733d9-460a-46e2-96f3-478e47978ed7 · outbound

This paper cites Indeed, since Ei is non-empty, it contains a point x.

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space Indeed, since Ei is non-empty, it contains a point x

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:44:43.779500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 155e584c-47ff-4e5c-9d6a-d0100edcdae8 · outbound

This paper cites It follows that d(y, x) < δ, contradicting the assumption that Ei is disjoint from B(Ek, δ).

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space It follows that d(y, x) < δ, contradicting the assumption that Ei is disjoint from B(Ek, δ)

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:44:43.769636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b46560e3-2836-46e8-ac2e-3c53e7c5534b · outbound

This paper cites Now, EN+1 is required to be a non-empty subset of K, disjoint from K.

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space Now, EN+1 is required to be a non-empty subset of K, disjoint from K

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:44:43.759492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation eea5424f-5dfa-40b6-86c5-a503b90ffb9c · outbound

This paper cites an unresolved cited work.

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space Unresolved cited work

Reference 8

Resolution: parse uncertain; raw_fallback, observed 2026-08-06T22:44:43.750072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3c6abd0f-95be-41f5-a71d-cb246a4342b8 · outbound

This paper cites an unresolved cited work.

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:44:43.732678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 750510ec-4db2-4515-ac64-22cb2f855f9c · outbound

This paper cites Suppose we have constructed E0,..., Em as above with x0 ∉ B(Ei, δ) for i = 0,..., m.

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space Suppose we have constructed E0,..., Em as above with x0 ∉ B(Ei, δ) for i = 0,..., m

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:44:43.630376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 55109f79-6c35-4b69-b6d3-b0cb14c348b3 · outbound

This paper cites an unresolved cited work.

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space Unresolved cited work

Reference 13

Resolution: parse uncertain; raw_fallback, observed 2026-08-06T22:44:43.395505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation dd961230-38e5-4bc4-8cb3-f784143e1766 · outbound

This paper cites an unresolved cited work.

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:44:43.246385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 42d4cb0e-d920-4df9-8212-180aec9926f5 · outbound

This paper cites an unresolved cited work.

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space Unresolved cited work

Reference 15

Resolution: parse uncertain; raw_fallback, observed 2026-08-06T22:44:43.217354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8994a680-6a65-4789-9b84-7243a16d9c53 · outbound

This paper cites an unresolved cited work.

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:44:43.208070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 178196cc-ae0c-4fdb-80f2-3c30d546e354 · outbound

This paper cites an unresolved cited work.

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:44:43.040648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 072e5a6f-470b-4644-a2c1-dc01d72d8bb3 · outbound

This paper cites an unresolved cited work.

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:44:42.965247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5667a855-db45-4c4b-b34e-80143ab6ffdd · outbound

This paper cites Observe that the balls B(x j, δ.

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space Observe that the balls B(x j, δ

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:44:42.844194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b6a48a8f-77af-454e-ada7-0b658334ef04 · outbound

This paper cites Indeed, if j > k > 0 we have x j ∈ EN− j and xk ∈ EN−k, so that d(x j, xk) ≥ δ by the third property of the Eis.

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space Indeed, if j > k > 0 we have x j ∈ EN− j and xk ∈ EN−k, so that d(x j, xk) ≥ δ by the third property of the Eis

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:44:42.747462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3782f6a5-81a3-4d88-ba9a-54f1220204c3 · outbound

This paper cites an unresolved cited work.

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:44:42.584469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d052ef53-0315-4f6d-b661-e420af55efdc · outbound

This paper cites an unresolved cited work.

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:44:42.462874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 680224f1-cc37-4766-8296-879a3717e266 · outbound

This paper cites an unresolved cited work.

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:44:42.283833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation af4b3085-f8d7-4aab-b2cb-bb792b6ff532 · outbound

This paper cites We claim that the instance is not robustly trapped in any of the above cases.

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space We claim that the instance is not robustly trapped in any of the above cases

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:44:42.134447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3e856ced-0fa5-4774-acde-a7bc43800147 · outbound

This paper cites 7 Lenore Blum, Felipe Cucker, Michael Shub, and Steve Smale.

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space 7 Lenore Blum, Felipe Cucker, Michael Shub, and Steve Smale

Reference 2005

Resolution: verified exact; doi, observed 2026-08-06T22:44:41.844070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fa75f3af-ea21-4c37-88a4-7c7ad2832caf · outbound

This paper cites On the topological aspects of the theory of represented spaces.

Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space On the topological aspects of the theory of represented spaces

Reference 2014

Resolution: unresolved; no resolver link, observed 2026-08-06T22:44:40.189026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.