Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:57:20.101212Z
Paper Citation Record · LEDGER
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries
As of 8 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:2506.01354.
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 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-29T02:39:39.801378Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-01T18:05:58.750742Z
Reference resolution
40 of 40 outbound references displayed
- verified exact10
- verified fuzzy18
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 2923e61d-e4fa-4ea6-b449-5d48f1e64470 · outbound
This paper cites – Ebin, D.G., Comparison Theorems in Riemannian Geometry.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries – Ebin, D.G., Comparison Theorems in Riemannian Geometry
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:57:21.259232Z
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 6b15d582-5e12-4572-9d5d-d20bfe3e081e · outbound
This paper cites – Moln ´ar, E.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries – Moln ´ar, E
Reference 2
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- raw_fallback, observed 2026-08-07T11:57:21.249795Z
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 bdd187b6-1ce4-4085-9da0-fc3988cef471 · outbound
This paper cites Filomat, 32/14, (2018) 5023–5036.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries Filomat, 32/14, (2018) 5023–5036
Reference 3
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- raw_fallback, observed 2026-08-07T11:57:21.241056Z
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 2b2304c1-be2c-494a-8ce0-8e8581398c3c · outbound
This paper cites Translation-like isoptic surfaces and angle sums of translation triangles in $\NIL$ geometry.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries Translation-like isoptic surfaces and angle sums of translation triangles in $\NIL$ geometry
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T11:57:21.026220Z
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 6b4c28fb-6e47-4dea-a017-1974ac25573e · outbound
This paper cites an unresolved cited work.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries Unresolved cited work
Reference 5
- Resolution
- verified exact
- doi, observed 2026-08-07T11:57:20.806685Z
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 fe6e1a29-ee61-45d0-98ad-83efb1a40fda · outbound
This paper cites Interior angle sums of geodesic triangles and translation-like isoptic surfaces in Sol geometry.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries Interior angle sums of geodesic triangles and translation-like isoptic surfaces in Sol geometry
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T11:57:21.012461Z
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 1dce4aab-d73a-46fa-9fa6-20cdaac49a34 · outbound
This paper cites Translation-like Apollonius and triangular surfaces in non-constant curvature Thurston geometries.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries Translation-like Apollonius and triangular surfaces in non-constant curvature Thurston geometries
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T11:57:21.000708Z
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 a2b2c864-7f88-48bf-9b98-260767c499da · outbound
This paper cites an unresolved cited work.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries Unresolved cited work
Reference 8
- Resolution
- verified exact
- doi, observed 2026-08-07T11:57:20.548072Z
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 7d2b6264-be57-4d4a-96dc-639a7c35ca61 · outbound
This paper cites Advances in Math., 21, 293–329 (1976).
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries Advances in Math., 21, 293–329 (1976)
Reference 9
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- raw_fallback, observed 2026-08-07T11:57:21.232019Z
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 33578b9c-6457-4d70-b808-b30b9050175c · outbound
This paper cites an unresolved cited work.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:57:21.223056Z
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 30771432-9244-4ccc-87de-6a94929c3b2f · outbound
This paper cites – Szirmai, J., OnNil crystallography, Symmetry Cult.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries – Szirmai, J., OnNil crystallography, Symmetry Cult
Reference 11
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- raw_fallback, observed 2026-08-07T11:57:21.213389Z
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 d3f80ff7-a1d1-47f1-924c-93051ace0b86 · outbound
This paper cites – Szirmai, J.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries – Szirmai, J
Reference 12
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- raw_fallback, observed 2026-08-07T11:57:21.204244Z
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 31632ee2-0d6d-4601-9757-88bec059541b · outbound
This paper cites – Szirmai, J., Symmetries in the 8 homogeneous 3-geometries.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries – Szirmai, J., Symmetries in the 8 homogeneous 3-geometries
Reference 13
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- raw_fallback, observed 2026-08-07T11:57:21.195076Z
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 c03d9841-4996-4ce8-95fa-1e45c42bedb9 · outbound
This paper cites – Szirmai, J., Classification of Sol lattices.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries – Szirmai, J., Classification of Sol lattices
Reference 14
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- raw_fallback, observed 2026-08-07T11:57:21.185932Z
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 4b4fd01d-ded9-4cf0-9fbe-270ecf30a868 · outbound
This paper cites — Szirmai J.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries — Szirmai J
Reference 15
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- raw_fallback, observed 2026-08-07T11:57:21.177509Z
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 73a33ecc-48ab-488e-a2dc-ff68a79a4506 · outbound
This paper cites – Schultz, B.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries – Schultz, B
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:57:21.169058Z
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 29167737-a4da-4a89-9db6-b22449c520d9 · outbound
This paper cites – Schultz B.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries – Schultz B
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:57:21.160185Z
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 9ba041a9-64db-44d8-8f80-e56165daf105 · outbound
This paper cites – Schultz, B.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries – Schultz, B
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:57:21.151817Z
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 2b496b95-9431-4975-8e29-07fa073ddecd · outbound
This paper cites – Su, W., On hyperbolic analogues of some classical the- orems in spherical geometry.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries – Su, W., On hyperbolic analogues of some classical the- orems in spherical geometry
Reference 19
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- raw_fallback, observed 2026-08-07T11:57:21.143284Z
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 9016935f-8f5c-4883-b182-20947c03860a · outbound
This paper cites an unresolved cited work.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:57:21.134003Z
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 d1883650-716e-4a16-b39e-a8008ffc1b73 · outbound
This paper cites Bulletin of the Korean Mathematical Soci- ety (2025) (to appear).
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries Bulletin of the Korean Mathematical Soci- ety (2025) (to appear)
Reference 21
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- raw_fallback, observed 2026-08-07T11:57:21.125013Z
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 3243388a-f6c2-4a2c-9064-8221492f2a78 · outbound
This paper cites The densest geodesic ball packing by a type of Nil lattices.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries The densest geodesic ball packing by a type of Nil lattices
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:57:21.115882Z
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 964df6dc-44b1-4d76-b10a-602647a761cb · outbound
This paper cites an unresolved cited work.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:57:21.106998Z
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 8ef0d62f-2cd2-4de6-a418-e9ec51fb43f0 · outbound
This paper cites an unresolved cited work.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:57:21.098493Z
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 09ba6196-8308-45ba-af0c-71e11d95289b · outbound
This paper cites an unresolved cited work.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:57:21.089079Z
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 b8c0f3a0-de5e-4855-9aa2-e9f00c75f32a · outbound
This paper cites an unresolved cited work.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:57:21.080965Z
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 5dd4bbc1-113a-431b-adf5-70501d1ba8bd · outbound
This paper cites Simply transitive geodesic ball packings to S2 × R space groups generated by glide reflections, Ann.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries Simply transitive geodesic ball packings to S2 × R space groups generated by glide reflections, Ann
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:57:18.834427Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 518ebb97-18fb-4335-8cd5-d950bde781c4 · outbound
This paper cites an unresolved cited work.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries Unresolved cited work
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:57:18.892610Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a657b898-e08f-476c-8ff1-40a72aa02bdd · outbound
This paper cites New York J.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries New York J
Reference 29
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- raw_fallback, observed 2026-08-07T11:57:21.072053Z
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 c0902fe4-2ed6-401a-af44-202bf48dba44 · outbound
This paper cites an unresolved cited work.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:57:21.062567Z
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 d746d76f-a362-4a38-83a4-5ac74e01365f · outbound
This paper cites Triangle angle sums related to translation curves in $\SOL$ geometry.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries Triangle angle sums related to translation curves in $\SOL$ geometry
Reference 31
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- verified exact
- local_arxiv, observed 2026-08-07T11:57:20.989168Z
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 2592ee17-bad0-49a1-9ad8-33cd7fbed8ff · outbound
This paper cites Apollonius surfaces, circumscribed spheres of tetrahedra, Menelaus' and Ceva's theorems in $\SXR$ and $\HXR$ geometries.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries Apollonius surfaces, circumscribed spheres of tetrahedra, Menelaus' and Ceva's theorems in $\SXR$ and $\HXR$ geometries
Reference 32
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- local_arxiv, observed 2026-08-07T11:57:20.976896Z
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 c15dbaf6-30a3-42d6-8f51-5b2391f2a7cb · outbound
This paper cites On Menelaus' and Ceva's theorems in Nil geometry.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries On Menelaus' and Ceva's theorems in Nil geometry
Reference 33
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T11:57:20.964449Z
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 50cea5ea-4fc8-4e54-978d-32592b4dcfca · outbound
This paper cites Classical Notions and Problems in Thurston Geometries.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries Classical Notions and Problems in Thurston Geometries
Reference 34
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- local_arxiv, observed 2026-08-07T11:57:20.952195Z
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 95d4bf4a-a1e0-4116-bd25-9675c256fa1c · outbound
This paper cites Fibre-like cylinders, their packings and coverings in $\widetilde{\mathbf{S}\mathbf{L}_2\mathbf{R}}$ space.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries Fibre-like cylinders, their packings and coverings in $\widetilde{\mathbf{S}\mathbf{L}_2\mathbf{R}}$ space
Reference 35
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-07T11:57:20.938352Z
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 60366604-9015-4623-a7ba-6d1bd6bc0d86 · outbound
This paper cites an unresolved cited work.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:57:21.054339Z
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 83695b01-1d71-409d-a819-2a5fc3e74146 · outbound
This paper cites – Szirmai, J.,, Lattice coverings by congruent translation balls using translation-like bisector surfaces in Nil Geometry.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries – Szirmai, J.,, Lattice coverings by congruent translation balls using translation-like bisector surfaces in Nil Geometry
Reference 37
- Resolution
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- raw_fallback, observed 2026-08-07T11:57:21.045264Z
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 67b7dad4-36f4-4067-a441-e6dda0d6c52e · outbound
This paper cites R., Real-time animation in hyperbolic, spherical, and product ge- ometries.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries R., Real-time animation in hyperbolic, spherical, and product ge- ometries
Reference 38
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- raw_fallback, observed 2026-08-07T11:57:21.035797Z
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 76af9840-298f-422a-a5f6-4b4d7f1bd15f · outbound
This paper cites – Szirmai, J., New lower bound for the optimal congruent geodesic ball packing density of screw motion groups in H2 ×R space.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries – Szirmai, J., New lower bound for the optimal congruent geodesic ball packing density of screw motion groups in H2 ×R space
Reference 39
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- verified exact
- doi, observed 2026-08-07T11:57:20.289071Z
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 3448f59a-4be6-4c13-9c00-86cecab182ac · outbound
This paper cites – Szirmai, J., Geodesic ball packings generated by rotations and monotonicity behavior of their densities in H2×R space.
Menelaus' and Ceva's theorems for translation triangles in Thurston geometries – Szirmai, J., Geodesic ball packings generated by rotations and monotonicity behavior of their densities in H2×R space
Reference 40
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:57:20.101212Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation 52fd933a-08b7-4de1-8a7b-f4ba9880b386 · inbound
Cylinder-like Pappus's hexagon theorem in Nil geometry cites this paper.
Cylinder-like Pappus's hexagon theorem in Nil geometry Menelaus' and Ceva's theorems for translation triangles in Thurston geometries
Reference 23
- Resolution
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- arxiv_id, observed 2026-07-01T18:05:58.751983Z
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.