Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:51:31.942016Z
Paper Citation Record ยท LEDGER
Elliptical trajectories of a point on the elliptical 2-sphere
As of 16 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:1908.02751.
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 2026-08-16T06:30:59.297886+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
30 of 30 outbound references displayed
- verified exact0
- verified fuzzy19
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 886f7aaa-16e4-4df9-93d8-9a822a364944 ยท outbound
This paper cites The motion of a rigid body around an axis in three dimensions is a linear transformation that can be expressed with an orthonormal matrix.
Elliptical trajectories of a point on the elliptical 2-sphere The motion of a rigid body around an axis in three dimensions is a linear transformation that can be expressed with an orthonormal matrix
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:32.486732Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 77409fab-cf67-49e8-9fe5-80f3142a0d3e ยท outbound
This paper cites The real vector space ๐ 3 equipped with the elliptical inner product ๐ต : ๐ 3 ร ๐ 3 โ ๐ ; ๐ต(๐ข, ๐ฃ) = ๐1๐ฅ1๐ฆ1 + ๐2๐ฅ2๐ฆ2 + ๐3๐ฅ3๐ฆ3.
Elliptical trajectories of a point on the elliptical 2-sphere The real vector space ๐ 3 equipped with the elliptical inner product ๐ต : ๐ 3 ร ๐ 3 โ ๐ ; ๐ต(๐ข, ๐ฃ) = ๐1๐ฅ1๐ฆ1 + ๐2๐ฅ2๐ฆ2 + ๐3๐ฅ3๐ฆ3
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:32.469265Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 14c06a34-5098-4344-9719-bccf1097acf3 ยท outbound
This paper cites an unresolved cited work.
Elliptical trajectories of a point on the elliptical 2-sphere Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:51:32.453084Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation da02cb03-9826-4ccd-ac78-a3787b1c0364 ยท outbound
This paper cites an unresolved cited work.
Elliptical trajectories of a point on the elliptical 2-sphere Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:51:32.437124Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 149c8088-d9cd-4e00-97f3-0c4c5acb8c92 ยท outbound
This paper cites an unresolved cited work.
Elliptical trajectories of a point on the elliptical 2-sphere Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:51:32.421992Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b80d68f6-df12-47fe-a1c1-254d28175844 ยท outbound
This paper cites First, we study the features of variational vector field along a curve and calculate the variational formulas for its Darboux curvatures.
Elliptical trajectories of a point on the elliptical 2-sphere First, we study the features of variational vector field along a curve and calculate the variational formulas for its Darboux curvatures
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:32.405014Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 61ad5743-f645-4dc1-bd23-862cdd456c3b ยท outbound
This paper cites A magnetic field ๐น on the ๐๐ธ 2 is a closed 2-form.
Elliptical trajectories of a point on the elliptical 2-sphere A magnetic field ๐น on the ๐๐ธ 2 is a closed 2-form
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:32.382695Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4d8cedd0-3523-4e36-9427-9f39ea26d46c ยท outbound
This paper cites an unresolved cited work.
Elliptical trajectories of a point on the elliptical 2-sphere Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:51:32.363258Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0da78001-8445-4cc2-9d90-60046422ec7d ยท outbound
This paper cites Theorem 5.1.
Elliptical trajectories of a point on the elliptical 2-sphere Theorem 5.1
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:32.343865Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6b7e6b4d-99dc-4c5e-8712-3850987b7171 ยท outbound
This paper cites an unresolved cited work.
Elliptical trajectories of a point on the elliptical 2-sphere Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:51:32.325909Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 03d8ab07-b9da-4f60-b798-6c3495844877 ยท outbound
This paper cites Magnetic vortex filament flows.
Elliptical trajectories of a point on the elliptical 2-sphere Magnetic vortex filament flows
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:32.308367Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f5237129-86f0-4a16-8183-9430309d5c3a ยท outbound
This paper cites General helices in the 3-dimensional Lorentzian space forms.
Elliptical trajectories of a point on the elliptical 2-sphere General helices in the 3-dimensional Lorentzian space forms
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:32.290817Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 852af20f-6df5-403f-888f-49f15d18f844 ยท outbound
This paper cites The Gauss--Landau--Hall problem on Riemanniansurfaces.
Elliptical trajectories of a point on the elliptical 2-sphere The Gauss--Landau--Hall problem on Riemanniansurfaces
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:32.273884Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5f93cf28-ad25-4109-98ca-f817bdf7ad11 ยท outbound
This paper cites A new approach for magnetic curves in 3D Riemannian manifolds.J.
Elliptical trajectories of a point on the elliptical 2-sphere A new approach for magnetic curves in 3D Riemannian manifolds.J
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:32.257189Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ce6dc3a5-e8be-4926-a779-834a3029e227 ยท outbound
This paper cites an unresolved cited work.
Elliptical trajectories of a point on the elliptical 2-sphere Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:51:32.240595Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 23a89d1f-5466-4764-abc1-e5256b247913 ยท outbound
This paper cites Magnetic fields in 2D and 3D sphere.
Elliptical trajectories of a point on the elliptical 2-sphere Magnetic fields in 2D and 3D sphere
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:32.223659Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7c1f7e0f-2195-484f-95d1-510622979eb9 ยท outbound
This paper cites an unresolved cited work.
Elliptical trajectories of a point on the elliptical 2-sphere Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:51:32.205797Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 98b41023-fcdc-4d82-93cb-7511f918aa44 ยท outbound
This paper cites an unresolved cited work.
Elliptical trajectories of a point on the elliptical 2-sphere Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:51:32.188184Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d45b6aaf-d47b-479a-8938-1a018be60b17 ยท outbound
This paper cites an unresolved cited work.
Elliptical trajectories of a point on the elliptical 2-sphere Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:51:32.172152Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bc39df80-14a9-4241-8404-6bf687ec04f4 ยท outbound
This paper cites Magnetic Curves corresponding to Killing magnetic fields in E3.
Elliptical trajectories of a point on the elliptical 2-sphere Magnetic Curves corresponding to Killing magnetic fields in E3
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:32.155239Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b00c1bcc-ff16-4e48-b18d-6fadcb05a2b2 ยท outbound
This paper cites Killing magnetic curves in a Minkowski 3-space.
Elliptical trajectories of a point on the elliptical 2-sphere Killing magnetic curves in a Minkowski 3-space
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:32.138612Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2bb8cfdb-febd-4b44-bb1b-352292dd312f ยท outbound
This paper cites Gurbuz, p-Elastica in the 3-Dimensional Lorentzian Space Forms, Turk J Math 30 (2006) , 33 -- 41.
Elliptical trajectories of a point on the elliptical 2-sphere Gurbuz, p-Elastica in the 3-Dimensional Lorentzian Space Forms, Turk J Math 30 (2006) , 33 -- 41
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:32.122173Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0a8af6da-c4fc-4083-b0d7-423f2a12e3e6 ยท outbound
This paper cites Lopez, Differential Geometry of Curves and Surfaces in Lorentz-Minkowski Space, International Electronic Journal of Geometry,7(1), 44 - 107, 2014.
Elliptical trajectories of a point on the elliptical 2-sphere Lopez, Differential Geometry of Curves and Surfaces in Lorentz-Minkowski Space, International Electronic Journal of Geometry,7(1), 44 - 107, 2014
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:32.105543Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 44161023-9893-4c3e-aebb-30bb07d06361 ยท outbound
This paper cites O'Neill, Semi-Riemannian geometry with applications to relativity, Academic press, New York, 1983.
Elliptical trajectories of a point on the elliptical 2-sphere O'Neill, Semi-Riemannian geometry with applications to relativity, Academic press, New York, 1983
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:32.088766Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5955de3a-6dc1-49c5-9e67-a77244f6425c ยท outbound
This paper cites Notes on Magnetic Curves in 3D semi-Riemannian Manifolds.
Elliptical trajectories of a point on the elliptical 2-sphere Notes on Magnetic Curves in 3D semi-Riemannian Manifolds
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:32.069167Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8ac8981f-ba20-4c89-865c-6add6dc1ca49 ยท outbound
This paper cites an unresolved cited work.
Elliptical trajectories of a point on the elliptical 2-sphere Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:51:32.051072Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3a555991-3171-48d7-af5a-cde6263c8761 ยท outbound
This paper cites Magnetic flows on a Riemann surface.
Elliptical trajectories of a point on the elliptical 2-sphere Magnetic flows on a Riemann surface
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:32.034363Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 76d84dc5-066e-4e69-9222-4988340378c2 ยท outbound
This paper cites World Scientific Publ.
Elliptical trajectories of a point on the elliptical 2-sphere World Scientific Publ
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:32.017270Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4023059a-a4c8-4dc3-a5b0-ac686f857dfa ยท outbound
This paper cites H., Kocayigit H., The Frenet and Darboux Instantaneous Rotain Vectors of Curves on Time-like Surfaces, Mathematical & Computational Applications, Vol.
Elliptical trajectories of a point on the elliptical 2-sphere H., Kocayigit H., The Frenet and Darboux Instantaneous Rotain Vectors of Curves on Time-like Surfaces, Mathematical & Computational Applications, Vol
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:32.000426Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8a4e8e8d-d7a0-4404-8b2f-b19123bf5968 ยท outbound
This paper cites an unresolved cited work.
Elliptical trajectories of a point on the elliptical 2-sphere Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:51:31.981376Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.