Paper Citation Record · LEDGER

Vietoris--Rips Shadow for Euclidean Graph Reconstruction

As of 8 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2506.01603.

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

pith.paper-citation-record.v1
2506.01603 v3

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:48:04.373120Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

16 of 16 outbound references displayed

verified exact1
verified fuzzy14
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 117d4d30-5fbf-4488-8e7a-2e4964986979 · outbound

This paper cites On Homotopy Types of Euclidean Rips Complexes.Discrete & Computational Geometry, 58(3):526–542, October 2017.

Vietoris--Rips Shadow for Euclidean Graph Reconstruction On Homotopy Types of Euclidean Rips Complexes.Discrete & Computational Geometry, 58(3):526–542, October 2017

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:48:05.121061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 51d22226-1330-4214-aa58-574f7176a45a · outbound

This paper cites Stability and computation of medial axes: a state-of-the-art report.

Vietoris--Rips Shadow for Euclidean Graph Reconstruction Stability and computation of medial axes: a state-of-the-art report

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:48:05.043817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7e5c67e4-e22f-4879-8797-892d7e15516e · outbound

This paper cites Vietoris-Rips complexes also provide topologically correct re- constructions of sampled shapes.

Vietoris--Rips Shadow for Euclidean Graph Reconstruction Vietoris-Rips complexes also provide topologically correct re- constructions of sampled shapes

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:48:04.973567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4a0e9481-4269-48c3-a442-af8a8f57623f · outbound

This paper cites Chambers, Vin de Silva, Jeff Erickson, and Robert Ghrist.

Vietoris--Rips Shadow for Euclidean Graph Reconstruction Chambers, Vin de Silva, Jeff Erickson, and Robert Ghrist

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:48:04.903355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7e94c8ba-b145-425d-a291-93d116d7ccda · outbound

This paper cites A sampling theory for compact sets in Euclidean space.

Vietoris--Rips Shadow for Euclidean Graph Reconstruction A sampling theory for compact sets in Euclidean space

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:48:04.863470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3f0331ae-0474-4afc-bef5-5b6f568e54d1 · outbound

This paper cites Mathematical theory of medial axis transform.Pacific J.

Vietoris--Rips Shadow for Euclidean Graph Reconstruction Mathematical theory of medial axis transform.Pacific J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:48:04.840313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b58b2f9e-a980-4bc7-935e-7f5a0ca684f2 · outbound

This paper cites Helly , Radon, and Carath´eodory type theorems.

Vietoris--Rips Shadow for Euclidean Graph Reconstruction Helly , Radon, and Carath´eodory type theorems

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:48:04.816368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 79f5027e-e651-4b65-b4ea-0d0e2a18bb2f · outbound

This paper cites On the reconstruction of geodesic subspaces ofR n.International Journal of Computational Geometry & Applications, 32(01n02):91–117, 2022.

Vietoris--Rips Shadow for Euclidean Graph Reconstruction On the reconstruction of geodesic subspaces ofR n.International Journal of Computational Geometry & Applications, 32(01n02):91–117, 2022

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:48:04.786889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5245f424-2a9d-4533-8e58-4e7a5a14fb1a · outbound

This paper cites On the Vietoris-Rips complexes and a cohomology theory for metric spaces.Annals of Mathematics Studies, 138:175–188, 1995.

Vietoris--Rips Shadow for Euclidean Graph Reconstruction On the Vietoris-Rips complexes and a cohomology theory for metric spaces.Annals of Mathematics Studies, 138:175–188, 1995

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:48:04.760059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7e13d629-5522-4d0a-ab6a-2fa3126fdf10 · outbound

This paper cites Homotopy reconstruction via the ˇCech complex and the Vietoris-Rips complex.

Vietoris--Rips Shadow for Euclidean Graph Reconstruction Homotopy reconstruction via the ˇCech complex and the Vietoris-Rips complex

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:48:04.736408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8888379f-38ab-4255-a5e7-2727fb09185f · outbound

This paper cites Topological stability and Latschev-type reconstruction theo- rems for spaces of curvature bounded above.arXiv:2406.04259 [math.AT], 2024.

Vietoris--Rips Shadow for Euclidean Graph Reconstruction Topological stability and Latschev-type reconstruction theo- rems for spaces of curvature bounded above.arXiv:2406.04259 [math.AT], 2024

Reference 11

Resolution: verified exact; raw_fallback, observed 2026-08-07T11:48:04.542451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3133b5a4-cec5-4c65-9038-459a0b2ded8c · outbound

This paper cites Jung’s theorem for Alexandrov spaces of curvature bounded above.Annals of Global Analysis and Geometry, 15:263–275, 1997.

Vietoris--Rips Shadow for Euclidean Graph Reconstruction Jung’s theorem for Alexandrov spaces of curvature bounded above.Annals of Global Analysis and Geometry, 15:263–275, 1997

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:48:04.708335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f69e030e-0d8c-4e2e-9d59-4190a1666519 · outbound

This paper cites Vietoris–Rips complexes of metric spaces near a metric graph.Journal of Applied and Computa- tional Topology, pages 1–30, 2023.

Vietoris--Rips Shadow for Euclidean Graph Reconstruction Vietoris–Rips complexes of metric spaces near a metric graph.Journal of Applied and Computa- tional Topology, pages 1–30, 2023

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:48:04.676933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 49dd8092-0bf0-4ebf-8340-92bf6c088e5b · outbound

This paper cites Demystifying Latschev’s theorem: Manifold reconstruction from noisy data.Discrete & Computa- tional Geometry, May 2024.

Vietoris--Rips Shadow for Euclidean Graph Reconstruction Demystifying Latschev’s theorem: Manifold reconstruction from noisy data.Discrete & Computa- tional Geometry, May 2024

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:48:04.637312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6a5cecd5-9c9e-42bd-9c59-549deb3bfa2b · outbound

This paper cites Moise.The Jordan curve theorem, pages 31–41.

Vietoris--Rips Shadow for Euclidean Graph Reconstruction Moise.The Jordan curve theorem, pages 31–41

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:48:04.607768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2a74a97a-3531-4c77-a56c-d68bd3cf6f7f · outbound

This paper cites CRC press, 2018.

Vietoris--Rips Shadow for Euclidean Graph Reconstruction CRC press, 2018

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T11:48:04.373120Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.