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Paper Citation Record · LEDGER

Brachistochrone on a Velodrome

As of 16 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.

pith.paper-citation-record.v1
1908.02224 v2

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:59:55.547572Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.402172Z digest=sha256:e3167f56e6b05860f73f6d6d31bfeca9be8b492916461ba332e177a4ca386b81

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.407719Z digest=sha256:4e034af3d00bb7cc70df8f52e862b401d0ab2b92a00d2cf1f42a7b2afb1d3337

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.413670Z digest=sha256:890185bbc2374a38795cad1dfad4dcfe6035b1c79843ffc76c3fc26992d40075

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.418893Z digest=sha256:3233d27d76838af5971d89677d92aecc9c53a8d088209773f0e433a6081cf5a7

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.424201Z digest=sha256:226fc619593a7d5ddfde678778f516f0d05aa51862822b00c5fe611bcf95c857

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.430621Z digest=sha256:cdf7b26efc75cdf378f98d74f53362aa2eaab5571b9c3f133cf74bbf4e7048bd

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.436176Z digest=sha256:0cc6348f5db3ff4125fb629b8d891a843f2e32c558d3dbb9b9ef0ca73ada456b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.442105Z digest=sha256:31e93f8baf26f4a5ac3f1a6133623cc8d7944d637bb8dec5beaa44a54579f7aa

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.447776Z digest=sha256:414d8fdc722a34910a508be05b58216e80e93e21dcdd063bbee9886a4f5321ee

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.452598Z digest=sha256:e1daa72bff6d6e9a1698f4d35814482ebca381ed9882beed9a17bacae9903f35

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.457902Z digest=sha256:dcb9d81bfdd836c5e60fa2a6deedc6c63b3fdfab26e59da5686f09559c2a0126

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.462822Z digest=sha256:d932d855aff49422d1393d67f4a9da064c166ee80ad6a743ab5be093e751dcaa

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.467949Z digest=sha256:7255351fb83001813b184a55481aa2d891d362c0f4e28655569a19e35e3ab2e2

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.472639Z digest=sha256:6015cb9fcf1e2ac181eeb738f35c293e3aee3f6a341a0e6626de3f1e6044ea0b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.477629Z digest=sha256:1e23b4ce8cffdb78d2992add5847ef81b6e6611d40fbceb614f679bb6a9f37a5

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.482436Z digest=sha256:f5a47aa7830875ed07e88411d80969b01dd95210691637746e393ab79d96a58d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.487437Z digest=sha256:f988d8fb3090dd159977f371e4b3f650be117e8502d55626310e0e50b6281a9c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.491817Z digest=sha256:a1748aa13439a7837e8213d6f0a9edc97f89c24d98bfe1b274c3a1d856938983

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.496699Z digest=sha256:b1d69f078ca117e04a8f5f794489bf68e8a9cc0e62e1b8b15f062d26e93580f0

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.501027Z digest=sha256:32feb27f3e415e2312671e5b0552c791ed28dcd4ce6efd41119fad6de41c5e71

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.506430Z digest=sha256:b0e989d56f0384e4118d162cf7ea24dc8d0840b7a439cca1765dc3cee19eea40

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.511755Z digest=sha256:456d9f98041534ee77d35df68d63b9c6d11166b4cc523a92f870fbe390f83220

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.516731Z digest=sha256:33357cf8dc61355d38338ce1f3747c1c0a7f7cfe39107dc4ae61ea3e9cd8aea0

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.522480Z digest=sha256:5481a68f07246d01b67ceb5f726f83b3deb4198d016f08b4ce5a10ffc64f2f9d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.528088Z digest=sha256:f59aa62ea6ae9196d1a4f3ddf0eaaa5043fe6bd7ffde1de80c4a0ca750940608

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.532754Z digest=sha256:b382070437679a4dea4fa9bde3d385abc49b753e42576c112b0cf5fffe2083ea

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.537813Z digest=sha256:8b09988a0a59d220b9826be0e7b78ba048f18d6983d71b175ecf39d8e176eb87

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.542651Z digest=sha256:6d50a64066aad223f05e4e21fa84de3e99ade8b9dacce6032412e851427b9c32

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:59:55.547572Z digest=sha256:f59ade48418d556ea4bcc2d86d0cd076ca0bd295a0f8dedb050c5e28b205608d

Pith citing papers

No inbound Pith citation observations are available.