Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T15:08:11.737494Z
Paper Citation Record · LEDGER
Rendering Non-Euclidean Geometry in Real-Time Using Spherical and Hyperbolic Trigonometry
As of 16 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:1908.01742.
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
17 of 17 outbound references displayed
- verified exact1
- verified fuzzy13
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation a99b8c83-0c9b-49ca-831d-d56e9d399680 · outbound
This paper cites an unresolved cited work.
Rendering Non-Euclidean Geometry in Real-Time Using Spherical and Hyperbolic Trigonometry Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:08:11.963407Z
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 9b61bef1-cc76-4e02-8fcc-2f877ce508dc · outbound
This paper cites Visualizations of the azimuthal orthographic geometry,.
Rendering Non-Euclidean Geometry in Real-Time Using Spherical and Hyperbolic Trigonometry Visualizations of the azimuthal orthographic geometry,
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:08:11.950132Z
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 22ef56e1-2428-42c8-bb58-11d01e7af462 · outbound
This paper cites Equilateral triangles,.
Rendering Non-Euclidean Geometry in Real-Time Using Spherical and Hyperbolic Trigonometry Equilateral triangles,
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:08:11.937955Z
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 3769e026-6b25-4373-81b3-3c8e10d10c90 · outbound
This paper cites Todhunter, Spherical Trigonometry For the use of colleges and schools.
Rendering Non-Euclidean Geometry in Real-Time Using Spherical and Hyperbolic Trigonometry Todhunter, Spherical Trigonometry For the use of colleges and schools
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:08:11.924940Z
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 3292ff37-ddd9-4209-a852-ccda5e6225eb · outbound
This paper cites an unresolved cited work.
Rendering Non-Euclidean Geometry in Real-Time Using Spherical and Hyperbolic Trigonometry Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:08:11.903204Z
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 4561bb3b-16d8-4964-b0a5-0277b5f718d1 · outbound
This paper cites Trigonometry in the hyperbolic plane,.
Rendering Non-Euclidean Geometry in Real-Time Using Spherical and Hyperbolic Trigonometry Trigonometry in the hyperbolic plane,
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:08:11.892207Z
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 a44a8e30-b4d7-4ad6-b2bc-8f4c77458edf · outbound
This paper cites Gellert, S.
Rendering Non-Euclidean Geometry in Real-Time Using Spherical and Hyperbolic Trigonometry Gellert, S
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:08:11.881576Z
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 01deccc5-45d0-45f5-907f-d987fdf84b73 · outbound
This paper cites Gray, Non-euclidean geometryA re-interpretation.
Rendering Non-Euclidean Geometry in Real-Time Using Spherical and Hyperbolic Trigonometry Gray, Non-euclidean geometryA re-interpretation
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:08:11.869660Z
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 25f82d39-51c0-45b8-a784-756e7af6cca7 · outbound
This paper cites Rendering non-euclidean space in real-time using spherical and hyperbolic trigonometry,.
Rendering Non-Euclidean Geometry in Real-Time Using Spherical and Hyperbolic Trigonometry Rendering non-euclidean space in real-time using spherical and hyperbolic trigonometry,
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:08:11.857197Z
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 3d87b3d0-f3ae-44a4-8ecd-cc12ac37c091 · outbound
This paper cites Multiple-precision zero-finding methods and the complexity of elementary function evaluation.
Rendering Non-Euclidean Geometry in Real-Time Using Spherical and Hyperbolic Trigonometry Multiple-precision zero-finding methods and the complexity of elementary function evaluation
Reference 10
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T15:08:11.773372Z
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 a842a210-ae8d-49fb-8776-9faa1c92d0ca · outbound
This paper cites Fast trigonometry functions using lookup tables,.
Rendering Non-Euclidean Geometry in Real-Time Using Spherical and Hyperbolic Trigonometry Fast trigonometry functions using lookup tables,
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:08:11.842695Z
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 4cfd3e88-b71f-45eb-a5b7-a0017e40310c · outbound
This paper cites Recent research developments in modern cartography in europe,.
Rendering Non-Euclidean Geometry in Real-Time Using Spherical and Hyperbolic Trigonometry Recent research developments in modern cartography in europe,
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:08:11.830516Z
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 f3c25a58-90d7-4a20-94c5-e53f917fe024 · outbound
This paper cites Modelling noneuclidean movement and landscape connectivity in highly structured ecological networks,.
Rendering Non-Euclidean Geometry in Real-Time Using Spherical and Hyperbolic Trigonometry Modelling noneuclidean movement and landscape connectivity in highly structured ecological networks,
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:08:11.818769Z
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 f9f717fb-27a2-455b-b71f-b429ff8d3145 · outbound
This paper cites Interpolation of temperature in a mountainous region using nonlinear profiles and noneu- clidean distances,.
Rendering Non-Euclidean Geometry in Real-Time Using Spherical and Hyperbolic Trigonometry Interpolation of temperature in a mountainous region using nonlinear profiles and noneu- clidean distances,
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:08:11.807548Z
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 9f94ca1f-d845-4896-af86-e9f19f7653e6 · outbound
This paper cites The ontology and cosmology of non-euclidean geometry,.
Rendering Non-Euclidean Geometry in Real-Time Using Spherical and Hyperbolic Trigonometry The ontology and cosmology of non-euclidean geometry,
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:08:11.795966Z
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 1c67e457-7242-4351-bbc5-92adba0537c4 · outbound
This paper cites Geometry and astronomy: Pre-einstein speculations of non-euclidean space,.
Rendering Non-Euclidean Geometry in Real-Time Using Spherical and Hyperbolic Trigonometry Geometry and astronomy: Pre-einstein speculations of non-euclidean space,
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:08:11.785135Z
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 671cc0f8-321d-407a-8ee4-525dd7dce8f2 · outbound
This paper cites an unresolved cited work.
Rendering Non-Euclidean Geometry in Real-Time Using Spherical and Hyperbolic Trigonometry Unresolved cited work
Reference 1886
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:08:11.913661Z
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.