Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T16:14:11.585761Z
Paper Citation Record · LEDGER
As of 11 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 1 inbound Pith citation observation for arXiv:2412.10340.
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 2026-08-11T16:14:11.585761Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-02T19:05:04.966848Z
A source-named dated measurement, never combined with another source.
Source: cited_works
67 of 67 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 6f0dda37-14be-42c7-bfa2-6fa5d189f303 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Bajolet, Yu
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a6d6df51-0910-4deb-9bcf-d30a1ad80bc6 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Balakrishnan, N
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b3af3fd5-9e1b-436d-a06d-e5011828d9eb · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1212ccd2-0bed-4df0-910d-3db27e767c21 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f587c0b6-2fe7-40a9-8279-64cab0d215b6 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 08a782b8-df07-4ad1-add5-30cdc480fe22 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Bilu and P
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3d1822d2-a45e-42b2-8a24-f056eff18b8e · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Bilu and P
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 333b99fc-5e0b-428a-a73e-98567072103d · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation af6a45a4-ad2b-4d6e-ac2e-aa64b1e95aec · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fa15b06d-750b-49ca-acbf-2720cd45b754 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Brau and N
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c9bcdab6-3872-4565-80c3-ad71fc308bcb · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Breuil, B
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a7b54d41-f2fb-43f6-8d66-8306aa5dff8c · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 60ace70d-8a0a-4225-a598-26b34c032aab · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9c5df87f-a582-4adc-9df3-6d9226d86613 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2af78c76-f807-4ff0-b2bc-35d8422a9723 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 536e44c1-1cbf-4bea-97c9-d84d529ecd58 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation eeb816e9-efba-4073-92b4-2c5d2b4faae3 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 91eee355-c352-4baa-8bae-4f1abb1e2cda · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a22475b3-e08b-4a8e-8770-82a60185c7e8 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5ceb45dd-af57-40f2-b3b5-1780759117ec · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ba38f5f0-2f4a-49de-9ad3-dc8227f37308 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e21bba08-900f-4b2f-9466-fe15832a921a · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Furio and D
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c770975a-238c-46e6-8906-a7d2fbb56a3b · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 89c9c8cd-2b81-4485-a22c-628d00dab968 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Gaudron and G
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a77e665c-db8b-4269-9096-ac6b851fc25e · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Greenberg
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7aefc3d3-ed92-4f3d-bdd9-d799e3ba7b14 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Greenberg, K
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c7df2f45-91b9-422d-95a7-47a53e2ec0c3 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Hoorfar and M
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 15602f08-1e6e-420d-a83f-b0e0aee7b73b · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Jones and K
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 88ebe55b-ce44-4eec-99f6-58b9c08c9bc5 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f3a42606-7056-4127-868b-2fd3be3c67f3 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0e692287-efa4-4768-a2c3-09156c455700 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c3bba292-7476-4015-9e65-f28e9b6d9cc4 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Le Fourn
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0dcb9f9f-11bb-4683-b0ec-858751476902 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Le Fourn and P
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 47b4bb90-f9a7-45c6-bad7-11658e8e6f78 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1274b5ae-2827-453e-8267-02c5f6290d2f · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0bfa4c3b-789a-4316-898e-f7c82dbfe14b · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals The L-functions and modular forms da tabase
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f7dd6cad-a527-4c89-9928-0745763ae2a7 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Lombardo
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 60a6ef02-f6a8-4b8e-95e9-ff5c697f2f6c · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Lombardo and S
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4659194b-bc1f-48cc-ba67-a443ae85c5d8 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Lozano-Robledo
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3cd869cd-4b6c-4010-ad98-daa5c9ac7fc0 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Masser and G
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6dd07d89-9b25-4a64-8d72-3961201a85d0 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation cc5c7d4a-2b3d-40f9-bda7-3b012b15cc7a · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Mayle and T
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation cf6c079f-6750-4824-91cf-73826d5d3f7e · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a164f638-02a4-4518-b0ae-e0cc9594dbd2 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 032d43a8-3158-4190-bbe9-080681708935 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9873a738-8294-4ec7-b124-07c921b7e700 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Momose and M
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 557266f1-0efc-4455-b414-138d9f6c6891 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6169f5e1-163a-48a0-8ea9-cf06b0c0d7e7 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6474dac0-d035-4ca2-8663-9bb94518aada · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation cf0bae70-05e2-4e19-9537-3fb9539c9a54 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation af08ebe0-1dae-43c9-9bff-e161354954ad · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Rouse, A
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b9850424-b4cf-454c-bc36-3b061e9c17e9 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Rouse and D
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0aa96c3b-b023-493b-8951-47c85b32b2a6 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Schoof and N
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8d5da33a-515a-48d0-9045-1e7232540680 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c9d5619e-acb5-434d-8286-4956f13435ff · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6b60ca41-91f7-4df3-8fb5-b5a99cf1ef9d · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e83005b5-7f73-4668-a14c-0d018f46c2e3 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6b639ad2-f183-425b-ae32-077d1b893dcd · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b1719d3b-dc18-42ab-b13e-b820bd876407 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Sol´ e and M
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7ed2ae69-4ac7-4bc6-a8e5-bcdb52f48902 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e3fd4c0c-9da5-4516-a43e-1659c74befc2 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ec0ee588-7b01-4259-98f1-2b955c29e311 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Bounds for Serre's open image theorem
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 42e4e153-0995-4fc7-8c3b-af779b5021dc · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals On the possible images of the mod ell representations associated to elliptic curves over Q
Reference 63
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5e98ef47-01a0-4aab-86ae-128dd7da2f54 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Possible indices for the Galois image of elliptic curves over Q
Reference 64
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9cc13c75-5459-4bbe-998a-99370d97121a · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Explicit open images for elliptic curves over $\mathbb{Q}$
Reference 65
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 23189e37-d5d8-4f00-866e-902fea8b5885 · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 1967
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c27805b3-2c3e-43ce-becd-1f3b5d6cfcff · outbound
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work
Reference 2022
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2b2db2c1-f3e0-4d8c-ab90-e6f4e08a4cd1 · inbound
Explicit p-adic Hodge theory for elliptic curves and non-split Cartan images Effective bounds for adelic Galois representations attached to elliptic curves over the rationals
Reference 1994
Source-reported events for the cited work
Unavailable: canonical work link unavailable.