Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:59:55.547572Z
Paper Citation Record · LEDGER
Brachistochrone on a Velodrome
As of 21 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:1908.02224.
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 2026-08-20T06:33:59.587034+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
29 of 29 outbound references displayed
- verified exact0
- verified fuzzy29
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation c591c366-07f7-447a-b64b-135af3335f6a · outbound
This paper cites 16rspa.royalsocietypublishing.org Proc R Soc A 0000000.
Brachistochrone on a Velodrome 16rspa.royalsocietypublishing.org Proc R Soc A 0000000
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:56.108583Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d81e3300-ec08-4189-a65f-962b5ecbbe7e · outbound
This paper cites The brachistochrone problem and modern control theory.
Brachistochrone on a Velodrome The brachistochrone problem and modern control theory
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:56.084493Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f3e94aed-b2bd-4e89-ba68-40303988a230 · outbound
This paper cites A History of the Calculus of Variations from the 17th through the 19th Century , volume 5.
Brachistochrone on a Velodrome A History of the Calculus of Variations from the 17th through the 19th Century , volume 5
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:56.067710Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ba787fb5-6011-4170-9f17-af92c73b7424 · outbound
This paper cites Brachistochrone with coulomb friction.
Brachistochrone on a Velodrome Brachistochrone with coulomb friction
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:56.052290Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d6988cbc-7c68-4f2b-ba46-114637601077 · outbound
This paper cites On the analytical solution of the brachistochrone problem in a non-conservative field.
Brachistochrone on a Velodrome On the analytical solution of the brachistochrone problem in a non-conservative field
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:56.035968Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 786a8cb9-3bc3-47f1-9503-ac1dea893796 · outbound
This paper cites Brachistochrone with coulomb friction.
Brachistochrone on a Velodrome Brachistochrone with coulomb friction
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:56.018932Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 11363b57-f0ee-4f0b-8ffe-c4a90364a4f4 · outbound
This paper cites Time-optimal control of rolling bodies.
Brachistochrone on a Velodrome Time-optimal control of rolling bodies
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:56.001403Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 54d4efcf-fc11-45a5-9011-88baa16556a5 · outbound
This paper cites The elastochrone: the descent time of a sphere on a flexible beam.
Brachistochrone on a Velodrome The elastochrone: the descent time of a sphere on a flexible beam
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:55.981246Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation aeb11db9-17ae-460a-80db-49f9d0bc0e70 · outbound
This paper cites Time-optimal quantum evolution.
Brachistochrone on a Velodrome Time-optimal quantum evolution
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:55.961449Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 9c76821f-8171-4325-9d27-c175b92ea4a1 · outbound
This paper cites https://assetrio2016.azureedge.net/_odf-documents/c/t/CTM001900_ Results_2016_08_12_2797f6c2_59ec_47cc_b9ba_934d32474041.pdf, 2019.
Brachistochrone on a Velodrome https://assetrio2016.azureedge.net/_odf-documents/c/t/CTM001900_ Results_2016_08_12_2797f6c2_59ec_47cc_b9ba_934d32474041.pdf, 2019
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:55.942380Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 565e3403-d892-4a99-a271-3c675318a721 · outbound
This paper cites Torque and power-velocity relationships in cycling: relevance to track sprint performance in world-class cyclists.
Brachistochrone on a Velodrome Torque and power-velocity relationships in cycling: relevance to track sprint performance in world-class cyclists
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:55.924742Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 51afefed-8e56-4931-9fdf-0b0e41d60f83 · outbound
This paper cites The science of cycling.
Brachistochrone on a Velodrome The science of cycling
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:55.907659Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8e1e4dc7-cf47-40a3-936b-9c5fff087760 · outbound
This paper cites Mathematical physics.
Brachistochrone on a Velodrome Mathematical physics
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:55.889221Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a64f42c0-f9b1-4e54-80f5-d9bd1636e51f · outbound
This paper cites Mechanics of cycling.
Brachistochrone on a Velodrome Mechanics of cycling
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:55.872285Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 03f1cf6c-b6c0-4ec8-88fe-bf918e2c9ba0 · outbound
This paper cites Aerodynamic drag and biomechanical power of a track cyclist as a function of shoulder and torso angles.
Brachistochrone on a Velodrome Aerodynamic drag and biomechanical power of a track cyclist as a function of shoulder and torso angles
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:55.850487Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation cc80c492-f470-45d6-82c8-3912b5a32e9e · outbound
This paper cites Flow topology in the wake of a cyclist and its effect on aerodynamic drag.
Brachistochrone on a Velodrome Flow topology in the wake of a cyclist and its effect on aerodynamic drag
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:55.831195Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 20f14d70-e53d-4f2c-8e8f-489c1354f695 · outbound
This paper cites Riding against the wind: a review of competition cycling aerodynamics.
Brachistochrone on a Velodrome Riding against the wind: a review of competition cycling aerodynamics
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:55.813494Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5426aa69-9dbe-4fbf-a0b0-057492f39606 · outbound
This paper cites The heat of shortening and the dynamic constants of muscle.
Brachistochrone on a Velodrome The heat of shortening and the dynamic constants of muscle
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:55.795808Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4305aeb7-d543-4ecf-b025-1ee3e3dcf2df · outbound
This paper cites Numerical optimization, second edition.
Brachistochrone on a Velodrome Numerical optimization, second edition
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:55.774493Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 126114a8-1ba8-4dbf-af20-5a677a3102b2 · outbound
This paper cites On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming.
Brachistochrone on a Velodrome On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:55.754558Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 0236f0b8-5e2d-4026-9ed0-06643e1f07c2 · outbound
This paper cites Validation of a mathematical model for road cycling power.
Brachistochrone on a Velodrome Validation of a mathematical model for road cycling power
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:55.735296Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1a709166-7144-49f5-aff7-5180200646ee · outbound
This paper cites The understanding and development of cycling aerodynamics.
Brachistochrone on a Velodrome The understanding and development of cycling aerodynamics
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:55.713912Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 7e1a844a-e629-4923-931a-961c65caba81 · outbound
This paper cites An experimental study on aerodynamic performance of time trial bicycle helmets.
Brachistochrone on a Velodrome An experimental study on aerodynamic performance of time trial bicycle helmets
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:55.695616Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 7419e306-0eb1-4e11-8d99-6cb2de818100 · outbound
This paper cites Understanding sprint-cycling performance: the integration of muscle power, resistance, and modeling.
Brachistochrone on a Velodrome Understanding sprint-cycling performance: the integration of muscle power, resistance, and modeling
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:55.677602Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4aa48394-0f88-4afb-9304-345dd04ebfe0 · outbound
This paper cites The anaerobic power reserve and its applicability in professional road cycling.
Brachistochrone on a Velodrome The anaerobic power reserve and its applicability in professional road cycling
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:55.656325Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e688f00f-5626-40d6-b53d-7ea48f9b5009 · outbound
This paper cites Cyclist drag in team pursuit: influence of cyclist sequence, stature, and arm spacing.
Brachistochrone on a Velodrome Cyclist drag in team pursuit: influence of cyclist sequence, stature, and arm spacing
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:55.639990Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 80099c70-1cf6-4298-8563-0d99a1fbf2d8 · outbound
This paper cites Aerodynamics of human-powered vehicles.
Brachistochrone on a Velodrome Aerodynamics of human-powered vehicles
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:55.623048Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b977cf3d-2365-49e0-a626-5d21714f29aa · outbound
This paper cites Jump: A modeling language for mathematical optimization.
Brachistochrone on a Velodrome Jump: A modeling language for mathematical optimization
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:55.606179Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ba93b496-666d-4784-b1f7-43ebeaef6703 · outbound
This paper cites Julia: A fresh approach to numerical computing.
Brachistochrone on a Velodrome Julia: A fresh approach to numerical computing
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:59:55.589290Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
No inbound Pith citation observations are available.