Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:48:04.373120Z
Paper Citation Record · LEDGER
Vietoris--Rips Shadow for Euclidean Graph Reconstruction
As of 13 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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.