Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:44:13.551105Z
Paper Citation Record · LEDGER
Curves orthogonal to a vector field in Euclidean spaces
As of 16 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:1908.02834.
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 2026-08-15T06:32:42.880941+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 fuzzy15
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 8612016e-f22f-4aae-9d2d-277efc485c2a · outbound
This paper cites On rectifying slant helices in Euclidean 3-space.
Curves orthogonal to a vector field in Euclidean spaces On rectifying slant helices in Euclidean 3-space
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:44:13.832368Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation fda42511-9205-4ca5-9d8b-16a874e00782 · outbound
This paper cites There is more than one way to frame a curve.
Curves orthogonal to a vector field in Euclidean spaces There is more than one way to frame a curve
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:44:13.815921Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8e20bcd6-7455-45fb-939f-7b761f1247f1 · outbound
This paper cites Rectifying curves in the n -dimensional Euclidean space, Turk.
Curves orthogonal to a vector field in Euclidean spaces Rectifying curves in the n -dimensional Euclidean space, Turk
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:44:13.799801Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation aabedb4c-d632-4700-803f-e9e739020108 · outbound
This paper cites When does the position vector of a space curve alw ays lie in its rectifying curve?.
Curves orthogonal to a vector field in Euclidean spaces When does the position vector of a space curve alw ays lie in its rectifying curve?
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:44:13.783414Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0de1ee0d-522e-4c6b-8571-6ce0ff9bee4a · outbound
This paper cites Rectifying curves and geodesics on a cone in the E uclidean 3-space.
Curves orthogonal to a vector field in Euclidean spaces Rectifying curves and geodesics on a cone in the E uclidean 3-space
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:44:13.768226Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 712d4ea0-10f2-4c2f-b981-9e8f1aef87e7 · outbound
This paper cites Rectifying curves as centrodes and ext remal curves.
Curves orthogonal to a vector field in Euclidean spaces Rectifying curves as centrodes and ext remal curves
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:44:13.752723Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3bf62bc3-7c92-413a-b9d4-7ad015271327 · outbound
This paper cites Space curves define d by curvature-torsion relations and associated helices.
Curves orthogonal to a vector field in Euclidean spaces Space curves define d by curvature-torsion relations and associated helices
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:44:13.737584Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3609cb1a-6a24-4b18-9f40-66651d19d2e7 · outbound
This paper cites Characterization of Spherical and Plane Curves Using Rotation Minimizing Frames.
Curves orthogonal to a vector field in Euclidean spaces Characterization of Spherical and Plane Curves Using Rotation Minimizing Frames
Reference 8
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:44:13.592919Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b535e551-5129-4888-b177-212c2dd4278f · outbound
This paper cites Characterization of curves tha t lie on a geodesic sphere or on a totally geodesic hypersurface in a hyperbolic space or in a sphere.
Curves orthogonal to a vector field in Euclidean spaces Characterization of curves tha t lie on a geodesic sphere or on a totally geodesic hypersurface in a hyperbolic space or in a sphere
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:44:13.722585Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e0b82049-707d-4183-85dc-dcfac760bc0e · outbound
This paper cites Space curves satisfying τ /κ = as + b.
Curves orthogonal to a vector field in Euclidean spaces Space curves satisfying τ /κ = as + b
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:44:13.707566Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3cdd2f1d-848b-4f78-b4f9-43de295c2bfa · outbound
This paper cites Differential Geometry: Curves - Surfaces - Ma nifolds.
Curves orthogonal to a vector field in Euclidean spaces Differential Geometry: Curves - Surfaces - Ma nifolds
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:44:13.692440Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2320e190-857b-44c4-8f55-6951fe238caf · outbound
This paper cites Some characterizations of rectifying curves in the Euclidean space E4.
Curves orthogonal to a vector field in Euclidean spaces Some characterizations of rectifying curves in the Euclidean space E4
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:44:13.674875Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c3e83fbb-3731-4e74-9d30-45e073390e3a · outbound
This paper cites New special curves and developab le surfaces.
Curves orthogonal to a vector field in Euclidean spaces New special curves and developab le surfaces
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:44:13.657569Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation aa3e8823-79ec-48fb-a1e1-39ccaa79c83e · outbound
This paper cites Rectifying curves in the th ree-dimensional sphere.
Curves orthogonal to a vector field in Euclidean spaces Rectifying curves in the th ree-dimensional sphere
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:44:13.641729Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2dd3f19a-d2fd-41d9-94ad-34df97510eca · outbound
This paper cites Rectifying curves in the th ree-dimensional hyperbolic space.
Curves orthogonal to a vector field in Euclidean spaces Rectifying curves in the th ree-dimensional hyperbolic space
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:44:13.624589Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 307ba73e-0690-46d8-90c7-5c2fd69396a1 · outbound
This paper cites Slant helices in the Euclid ean 3-space revisited.
Curves orthogonal to a vector field in Euclidean spaces Slant helices in the Euclid ean 3-space revisited
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:44:13.608930Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Pith citing papers
No inbound Pith citation observations are available.