Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T22:36:24.403847Z
Paper Citation Record · LEDGER
As of 13 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2608.09157.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T22:36:24.403847Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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
25 of 25 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 95a69a49-a303-4912-b705-57c8ae1bb420 · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum (11) cannot be realized
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 319e2a3f-466f-49c9-8cec-478ad8fff3ee · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation da9a17a3-d65e-44bc-968a-b5be1122a58a · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum Equation (14) is the governing equation of θmax and is analyzed in detail in the present study
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c70a8159-da48-4b94-b9a3-88d209e8cfd8 · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum In 0 < x < 1/ √ 2, no solutions exist because f (x) < 0
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 100e4b76-43e4-4056-a04a-50dcacce0158 · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum Using x ≃ 1 − c˜v2 0 together with x = cos θmax ≃ 1 − θ2 max/2, the optimal angle is approximated as θmax ≃ √ 2 2 ˜H + 1 ˜v0 = v0√ g(2H + L)
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ef9a0c22-f607-4765-a727-484b40308cdb · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum (7) including a square root
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 25b9383c-7355-453e-8b2e-eb4607e772d3 · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum Tarzan’s dilemma
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8b64c255-ecb9-4d55-93c4-067c6c707527 · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c13db0c9-8131-41a7-999b-f54e0197001c · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum Ganci and D
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f3cec375-c524-4881-a486-c31dc6dc349e · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 85fadaa8-ef5f-4525-aafa-dc2eaddeba57 · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d1f0e506-fc90-4559-bf87-995bfba17d09 · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum Cohen, B
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c7b9ed26-051f-4239-943e-dc67169e58cf · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 2c6778c4-12f4-42de-a860-792527ec3a58 · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 69dfab39-d2ea-49f4-8a07-eb0c0216f376 · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum Bittel, Phys
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9f79fc91-9f9d-4413-bedf-2f5c8693128e · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum Rave and M
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5d5f3c94-8da2-474b-8a39-a23cda91ee32 · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation cf6b5b5a-c197-481f-85dc-9776964efc62 · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum Shima, Eur
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 1dfe077b-2791-4f11-93c3-4747b1b14b41 · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a6785187-67c0-4964-8364-a2b28ba20a4f · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum Tignol, Galois’ Theory of Algebraic Equations (World Scientific, Singapore, 2001)
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 328582fa-c1a3-4903-8e75-f6109fdd4697 · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum Anderson, J
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a0291642-c1b6-429c-9a62-b88e7a593d49 · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum Kovacic and M
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4a0dfbf7-c786-4e69-a14d-c33d1f89695f · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum Efremidis, K
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5d0167ae-7ea0-466c-9f58-641ece780500 · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 701874ec-4725-44d6-87ab-756e80552be1 · outbound
Theoretical analysis of the maximum range of a projectile released from a pendulum Johannessen, Eur
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
No inbound Pith citation observations are available.