Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T14:05:55.992892Z
Paper Citation Record · LEDGER
As of 12 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2505.20479.
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 2026-08-07T14:05:55.992892Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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
33 of 33 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 372e414a-c4b3-48db-80b3-5fe534fc220b · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Barrios and J
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b789040f-61bc-499c-ab9a-bcbbadc9f039 · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 01fef23a-29d3-4d4c-b46d-2b41d971ec13 · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation af403839-e29d-4727-89d4-8ab026c9f9be · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e155d0a7-03ae-4348-9914-78df925f9a2d · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Comalada
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5842cfa9-67b4-4d27-817f-a45e946fdb06 · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6a055fd5-8f07-4307-84e5-ea8726f89c7f · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Dokchitser and V
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9107c73a-d21c-4d35-be33-e8eed71477eb · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Notes on the Parity Conjecture , page 201–249
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 96d5324a-3ef6-4c47-98c4-47ae5a687c6a · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Dummigan
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 03e96e64-e21c-44de-9c0a-7db1000f8cd0 · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 70d0028a-d553-4ec0-b408-d125051bcfdc · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Granville
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 66584bd6-56d7-4ba0-8309-1f1da268e202 · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Halberstam and H.-E
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 400ef612-3855-424e-b545-8a3554744de0 · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Husemöller
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 631a09d1-68e5-46c6-b5fd-46053f3bf054 · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 23400167-d3b4-4d67-a190-e8def937841d · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Unresolved cited work
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7e21ee82-9eeb-497a-918e-cbd1d41de2c6 · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 74fdb3a0-4214-43b1-9e30-9f3b4a966bbc · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion The L-functions and modular forms database.https://www.lmfdb.org, 2025
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 508f181f-5802-4662-8b59-7f2c8ced50c9 · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4154eb53-1ca3-4a3d-9677-3f00074f97fe · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e0b450bf-09ee-4d44-9666-5a850a8a4d68 · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Lozano-Robledo
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7de7ba1c-febc-4e90-bbae-1ccf2c2001df · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 587d3f1a-f218-4418-8261-38355ba79c92 · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Melistas
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c82cd644-e8bd-4fa9-af56-99191e5f0ce3 · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Melistas
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f7a1c851-ea41-4952-beec-b31c428747a0 · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f5e6d7f3-60c0-42cc-8fc0-fbebefcc3edd · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Papadopoulos
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5bc469f5-ac25-4497-9999-1343ccf37a8c · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5124f9a8-592c-425d-96ed-5498aa64dd77 · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d24f376b-0356-468a-8c8e-e43584f65a93 · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d326a66f-81c0-40b5-b9c8-881db1e29e2d · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d8a498e4-7863-4832-8789-517915474879 · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 908a2d0b-b9c2-4ff6-b593-c8c4c0beb110 · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Unresolved cited work
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 47b77971-8c64-4022-972a-3cf16b90cacc · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Tsukazaki.Explicit isogenies of elliptic curves
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a47dd249-ab9e-4f56-ae53-64f815619389 · outbound
Small Tamagawa numbers of elliptic curves with isogenies or torsion Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
No inbound Pith citation observations are available.