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Paper Citation Record · LEDGER

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes

As of 5 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2607.29265.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.29265 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T10:38:10.869760Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+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

26 of 26 outbound references displayed

  • verified exact8
  • verified fuzzy0
  • unresolved18
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b189eacb-ed32-46a6-9972-295cdc6a9859 · outbound

This paper cites an unresolved cited work.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T10:38:07.381685Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 5cc1f7e6-25ac-47b5-ba7e-c04a212c0d26 · outbound

This paper cites an unresolved cited work.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T10:38:07.493463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 7eec5059-d20f-42d8-8d15-4cd28e527523 · outbound

This paper cites an unresolved cited work.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T10:38:07.658979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T10:38:07.658979Z digest=sha256:31b2e5ce69e905995b2527ce65eeecef15b07c206dea66677d6db9de6c46bd7a

Observation 985af233-bf4d-436d-8578-1f0e771a24d5 · outbound

This paper cites an unresolved cited work.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Unresolved cited work

Reference 4

Resolution
verified exact
doi, observed 2026-08-03T10:39:17.347481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation a7bc4b90-d9d2-4f68-a0e6-dbeb70b9165a · outbound

This paper cites an unresolved cited work.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Unresolved cited work

Reference 5

Resolution
verified exact
doi, observed 2026-08-03T10:39:17.214218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 2a65be13-23d5-45c3-8842-2dbcd7bfb883 · outbound

This paper cites Vratanar and M.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Vratanar and M

Reference 6

Resolution
verified exact
doi, observed 2026-08-03T10:39:16.868684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 01d651e1-9aa9-41a8-9f95-da77b1f9ed19 · outbound

This paper cites Giambò and F.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Giambò and F

Reference 7

Resolution
verified exact
doi, observed 2026-08-03T10:39:16.481125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation d98de844-106f-4297-9796-9fcd46a2dfff · outbound

This paper cites Agmon and A.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Agmon and A

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-03T10:38:08.461268Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T10:38:08.461268Z digest=sha256:9e37f589e871d672a9390d3f1582b536159fa91fe7e5917b29049b86e7bc152a

Observation bd542450-7e4e-4332-8957-a06a488aeef0 · outbound

This paper cites Goldstein, Classical Mechanics , 2nd ed., Addison- Wesley, Reading, MA, 1986.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Goldstein, Classical Mechanics , 2nd ed., Addison- Wesley, Reading, MA, 1986

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-03T10:38:08.601390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T10:38:08.601390Z digest=sha256:1852b97f0cce6cafba8b8a9a758fc1d24de44627eb2d8a8d719f28e044b0da0c

Observation 1fd6972e-93a3-4e56-bc2f-53826e2d8525 · outbound

This paper cites Mingari Scarpello and D.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Mingari Scarpello and D

Reference 10

Resolution
verified exact
doi, observed 2026-08-03T10:39:16.117115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation cc69a21a-276d-49e8-88bc-633e94680314 · outbound

This paper cites an unresolved cited work.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-03T10:38:08.805691Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T10:38:08.805691Z digest=sha256:98107cab048f4498871a392592fdb7c7514a2fc86e5b74af31f6bb9a3f8dbb97

Observation a7f931cf-5358-4ca9-9ebe-285a1996bc7c · outbound

This paper cites Perlick, J.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Perlick, J

Reference 12

Resolution
verified exact
doi, observed 2026-08-03T10:39:15.891485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation f8ba1d3b-c387-4f2a-b154-066ddd9897fc · outbound

This paper cites Giannoni, P.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Giannoni, P

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-03T10:38:09.018007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation bf1e3e63-17d9-4407-bd90-6afbc8ed6e41 · outbound

This paper cites Piccione, in B.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Piccione, in B

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-03T10:38:09.147046Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation a741230b-4168-40fb-8d8a-50b7e7964a57 · outbound

This paper cites an unresolved cited work.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-03T10:38:09.262548Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation f31c7b4f-234c-411e-b966-e11a3309ab7a · outbound

This paper cites Miyake and M.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Miyake and M

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-03T10:38:09.396292Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation e0b8db08-c4ac-47e4-9869-77ab1ae85673 · outbound

This paper cites an unresolved cited work.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-03T10:38:09.525484Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T10:38:09.525484Z digest=sha256:061ba6dc6d7416962f9dedb9c14f57972877f499ff7e158fea46a92bdfa6960e

Observation 3c8ad7ca-4716-4587-8152-524a6e45ab64 · outbound

This paper cites Carlini, A.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Carlini, A

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-03T10:38:09.694900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 4a3cabab-e411-4123-8f36-91676bc9466e · outbound

This paper cites an unresolved cited work.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-03T10:38:09.837475Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 92cdd150-b3b1-4405-9d75-0de9e2df4517 · outbound

This paper cites an unresolved cited work.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-03T10:38:10.056132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 02145a5b-1b37-428e-8141-0392aad0a968 · outbound

This paper cites Universality of isothermal fluid spheres in Lovelock gravity.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Universality of isothermal fluid spheres in Lovelock gravity

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-03T10:38:10.213782Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 66554209-8708-4314-ba3c-5ee48766803c · outbound

This paper cites an unresolved cited work.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Unresolved cited work

Reference 22

Resolution
verified exact
doi, observed 2026-08-03T10:39:15.752924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation be5470ab-1aaa-48f4-9255-ddad0c670102 · outbound

This paper cites Tabatabaei, S.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Tabatabaei, S

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-03T10:38:10.453486Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 438ad423-023a-47df-b374-c10a3316c2fb · outbound

This paper cites Perlick, Class.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Perlick, Class

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-03T10:38:10.624024Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T10:38:10.624024Z digest=sha256:b1978f81ecd74b2f3ee63bb4e5b410a0da5ec19b4c31cebb2d83b1c89230b2d0

Observation 20bd4b37-dc4c-4267-b685-1ea2af1c3c3a · outbound

This paper cites Perlick, Class.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Perlick, Class

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-03T10:38:10.770397Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T10:38:10.770397Z digest=sha256:967bb053fe4a2f8a9ec34141a00d3e08d91bfc4e13a4e2653e2952c21201cc4b

Observation 9d9aa120-5d2f-47ba-a337-c6ecfde96395 · outbound

This paper cites an unresolved cited work.

The brachistochrone problem for a constant velocity traveler in static and spherically symmetric spacetimes Unresolved cited work

Reference 26

Resolution
verified exact
doi, observed 2026-08-03T10:39:15.541788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Pith citing papers

No inbound Pith citation observations are available.