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Paper Citation Record · LEDGER

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals

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.

pith.paper-citation-record.v1
2412.10340 v4

Coverage vector

measured 67 of 67 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T16:14:11.585761Z

measured 68 of 68 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T19:05:04.966848Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

67 of 67 outbound references displayed

  • verified exact1
  • verified fuzzy24
  • unresolved42
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6f0dda37-14be-42c7-bfa2-6fa5d189f303 · outbound

This paper cites Bajolet, Yu.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Bajolet, Yu

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:14:12.425267Z

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.

source=pdf_text observed=2026-08-11T16:14:11.355877Z digest=sha256:de426e7705aed1f0c1935ae0a0583fc8804ae99fc61a545904bcfaf7a718e563

Observation a6d6df51-0910-4deb-9bcf-d30a1ad80bc6 · outbound

This paper cites Balakrishnan, N.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Balakrishnan, N

Reference 2

Resolution
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raw_fallback, observed 2026-08-11T16:14:12.416226Z

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.

source=pdf_text observed=2026-08-11T16:14:11.359937Z digest=sha256:20c7d86285857ff3cb7c0cd68e2f563d614480486faf46ca7bbb8cbd068ff968

Observation b3af3fd5-9e1b-436d-a06d-e5011828d9eb · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:14:12.406576Z

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.

source=pdf_text observed=2026-08-11T16:14:11.363654Z digest=sha256:4d93b88aae5917b4e0ef4358d429ba2163fc4de2ff6ce0c6662b41ad481d91d1

Observation 1212ccd2-0bed-4df0-910d-3db27e767c21 · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 4

Resolution
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raw_fallback, observed 2026-08-11T16:14:12.397340Z

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.

source=pdf_text observed=2026-08-11T16:14:11.368827Z digest=sha256:b84eaf2b62eeca70f979d8125852681c9dd71b54a7843b56b66c34ba9bbed1d0

Observation f587c0b6-2fe7-40a9-8279-64cab0d215b6 · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 5

Resolution
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raw_fallback, observed 2026-08-11T16:14:12.387430Z

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.

source=pdf_text observed=2026-08-11T16:14:11.372453Z digest=sha256:49d7e8988b5cf368b2d2db7f575a53a16dd13c90f74ded8ed55dd6bbd84a51bf

Observation 08a782b8-df07-4ad1-add5-30cdc480fe22 · outbound

This paper cites Bilu and P.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Bilu and P

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:14:12.378604Z

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.

source=pdf_text observed=2026-08-11T16:14:11.376551Z digest=sha256:a9915e5b6a5508ae10c15ccb5b3382ab69dbe0529b14c51f3c39b4b2fd7aee52

Observation 3d1822d2-a45e-42b2-8a24-f056eff18b8e · outbound

This paper cites Bilu and P.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Bilu and P

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:14:12.369655Z

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.

source=pdf_text observed=2026-08-11T16:14:11.380099Z digest=sha256:8604bbbf1ffce4251aad0e877a76f4d83c6f989f5a36cf05f7dde7773906d3a4

Observation 333b99fc-5e0b-428a-a73e-98567072103d · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 8

Resolution
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raw_fallback, observed 2026-08-11T16:14:12.360711Z

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.

source=pdf_text observed=2026-08-11T16:14:11.383456Z digest=sha256:ed4ed8f0b589634ef0efe3dbc93274c4cb42159eb6f49991b767219740b97b95

Observation af6a45a4-ad2b-4d6e-ac2e-aa64b1e95aec · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 9

Resolution
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raw_fallback, observed 2026-08-11T16:14:12.351492Z

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.

source=pdf_text observed=2026-08-11T16:14:11.386888Z digest=sha256:022df6dae21bfa44f28c9ba8c5c5c7cd596add5aa5874d7f4fc2299bcd190e91

Observation fa15b06d-750b-49ca-acbf-2720cd45b754 · outbound

This paper cites Brau and N.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Brau and N

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:14:12.342494Z

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.

source=pdf_text observed=2026-08-11T16:14:11.390555Z digest=sha256:8d52bf72bc7c9be4c65f520c0995d97ca8b8eef1999758a716e876247fef329e

Observation c9bcdab6-3872-4565-80c3-ad71fc308bcb · outbound

This paper cites Breuil, B.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Breuil, B

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:14:12.333591Z

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.

source=pdf_text observed=2026-08-11T16:14:11.393867Z digest=sha256:c54283588996accdbfc7b504346d1e1a61d2aa329cc07dbfbc5a0927329cd968

Observation a7b54d41-f2fb-43f6-8d66-8306aa5dff8c · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 12

Resolution
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raw_fallback, observed 2026-08-11T16:14:12.324517Z

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.

source=pdf_text observed=2026-08-11T16:14:11.398466Z digest=sha256:489e3bd87e338f850679005590bc875948f57d5db0538dae54f1ee1c1f0e0822

Observation 60ace70d-8a0a-4225-a598-26b34c032aab · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:14:12.314588Z

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.

source=pdf_text observed=2026-08-11T16:14:11.401757Z digest=sha256:4d98bff911add445457d459dc8e1a4313f35ad9e073c6a322bcd6191f56a20ca

Observation 9c5df87f-a582-4adc-9df3-6d9226d86613 · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 14

Resolution
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raw_fallback, observed 2026-08-11T16:14:12.295535Z

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.

source=pdf_text observed=2026-08-11T16:14:11.409222Z digest=sha256:9cabc071c8fba557da1140eb8b7b5a5a82fcb7413342b67e25000e45a247a2fd

Observation 2af78c76-f807-4ff0-b2bc-35d8422a9723 · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:14:12.285831Z

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.

source=pdf_text observed=2026-08-11T16:14:11.412695Z digest=sha256:db7f5a63f39b7fb487d62538717a61cf502a3c30a00d064d60dec16df0378bf6

Observation 536e44c1-1cbf-4bea-97c9-d84d529ecd58 · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 16

Resolution
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raw_fallback, observed 2026-08-11T16:14:12.276474Z

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.

source=pdf_text observed=2026-08-11T16:14:11.415960Z digest=sha256:e36472e3965cf42ce47ea70532153488cb3f1dcdae8251172f51e010e22d261f

Observation eeb816e9-efba-4073-92b4-2c5d2b4faae3 · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 17

Resolution
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raw_fallback, observed 2026-08-11T16:14:12.267484Z

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.

source=pdf_text observed=2026-08-11T16:14:11.419185Z digest=sha256:f332de6afc2fe0bc4732f6b00261d5dba4450aaa0432c02f73e2e60efe734fbf

Observation 91eee355-c352-4baa-8bae-4f1abb1e2cda · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 18

Resolution
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raw_fallback, observed 2026-08-11T16:14:12.258235Z

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.

source=pdf_text observed=2026-08-11T16:14:11.422363Z digest=sha256:42cb5622a0263fb3071bffbed06647271f51508ff68088d2f2d65b68836683e8

Observation a22475b3-e08b-4a8e-8770-82a60185c7e8 · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 19

Resolution
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raw_fallback, observed 2026-08-11T16:14:12.248698Z

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.

source=pdf_text observed=2026-08-11T16:14:11.425873Z digest=sha256:e6fcc27e979f48e7b10fb69ed82ebdd19cf9f9b9d0164c6ccdca3e9862114d8e

Observation 5ceb45dd-af57-40f2-b3b5-1780759117ec · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 20

Resolution
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raw_fallback, observed 2026-08-11T16:14:12.238861Z

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.

source=pdf_text observed=2026-08-11T16:14:11.428915Z digest=sha256:eb9a41785ba26fe16249370070804da99e75d37aaedb31d227ad100e1ad6fd73

Observation ba38f5f0-2f4a-49de-9ad3-dc8227f37308 · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:14:12.229841Z

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.

source=pdf_text observed=2026-08-11T16:14:11.432106Z digest=sha256:517b96b71d46cdbad8d3f33b38930bc2657c0706bb2d2d758e2413d3bee8bb27

Observation e21bba08-900f-4b2f-9466-fe15832a921a · outbound

This paper cites Furio and D.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Furio and D

Reference 22

Resolution
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no resolver link, observed 2026-08-11T16:14:11.435113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:14:11.435113Z digest=sha256:58d5254b4abaa8f53229ef7ded7051eafed2d8a39aa6edfbaab616ea626c8b67

Observation c770975a-238c-46e6-8906-a7d2fbb56a3b · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 23

Resolution
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raw_fallback, observed 2026-08-11T16:14:12.220227Z

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.

source=pdf_text observed=2026-08-11T16:14:11.438303Z digest=sha256:d74ef877dcf49ecd46b43cf37385194de7cc9feaf3b7d0bf89c62a69a45b5b75

Observation 89c9c8cd-2b81-4485-a22c-628d00dab968 · outbound

This paper cites Gaudron and G.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Gaudron and G

Reference 24

Resolution
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raw_fallback, observed 2026-08-11T16:14:12.211143Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T16:14:11.442100Z digest=sha256:47d2b6e5200c57a0a47ea654c7bf8f0cc580b282eed9afa223c8d2413ad71675

Observation a77e665c-db8b-4269-9096-ac6b851fc25e · outbound

This paper cites Greenberg.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Greenberg

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:14:12.200396Z

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.

source=pdf_text observed=2026-08-11T16:14:11.445189Z digest=sha256:de605b2f668a30926418c48aff6d4d81dd6e0f6ee858ad7101a16b6c82c80c2a

Observation 7aefc3d3-ed92-4f3d-bdd9-d799e3ba7b14 · outbound

This paper cites Greenberg, K.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Greenberg, K

Reference 26

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raw_fallback, observed 2026-08-11T16:14:12.191147Z

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.

source=pdf_text observed=2026-08-11T16:14:11.448337Z digest=sha256:c966b3fdd1a365eeb391002c17525e59f2b749200514b88fe7ed7b2bb30dcf91

Observation c7df2f45-91b9-422d-95a7-47a53e2ec0c3 · outbound

This paper cites Hoorfar and M.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Hoorfar and M

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:14:12.181593Z

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.

source=pdf_text observed=2026-08-11T16:14:11.451643Z digest=sha256:80ac83e3a17da212ffdf171b48f48de7423606184adaf4022989db7f437f9a78

Observation 15602f08-1e6e-420d-a83f-b0e0aee7b73b · outbound

This paper cites Jones and K.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Jones and K

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:14:12.172045Z

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.

source=pdf_text observed=2026-08-11T16:14:11.454815Z digest=sha256:246275089ab2bab7e92c42d9fa4b8886e4691a069bd5646b67c6eb6bb730ac30

Observation 88ebe55b-ce44-4eec-99f6-58b9c08c9bc5 · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 29

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raw_fallback, observed 2026-08-11T16:14:12.162318Z

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.

source=pdf_text observed=2026-08-11T16:14:11.457859Z digest=sha256:ba3f2600d4377fadb1cc26618894bb32cbfa25b47ea6c3ccd7c0d9c94718a1b0

Observation f3a42606-7056-4127-868b-2fd3be3c67f3 · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 30

Resolution
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raw_fallback, observed 2026-08-11T16:14:12.151608Z

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.

source=pdf_text observed=2026-08-11T16:14:11.461216Z digest=sha256:f27b84c2a974903512264fa52d2dd784f3edafad37f7274202865c7365cc06dd

Observation 0e692287-efa4-4768-a2c3-09156c455700 · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 31

Resolution
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raw_fallback, observed 2026-08-11T16:14:12.142112Z

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.

source=pdf_text observed=2026-08-11T16:14:11.464349Z digest=sha256:7b674da27cdcf60ff4eb41dcc6a70ffb3d91ee5d73b3fca830a0d0d370375295

Observation c3bba292-7476-4015-9e65-f28e9b6d9cc4 · outbound

This paper cites Le Fourn.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Le Fourn

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:14:12.131094Z

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.

source=pdf_text observed=2026-08-11T16:14:11.468029Z digest=sha256:67c2ba84e172bb4ca38705d1979c743c352df721579035d26f6be3c134eae812

Observation 0dcb9f9f-11bb-4683-b0ec-858751476902 · outbound

This paper cites Le Fourn and P.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Le Fourn and P

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:14:12.016271Z

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.

source=pdf_text observed=2026-08-11T16:14:11.471661Z digest=sha256:77ebcdd6226e4b4411eeb1b304608c7a96e0d0f0bd633e6f5449e3368bb64261

Observation 47b4bb90-f9a7-45c6-bad7-11658e8e6f78 · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:14:12.006088Z

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.

source=pdf_text observed=2026-08-11T16:14:11.474746Z digest=sha256:42dcfa62e2fa953a1a64775e1b88ae4cff2473b62ac138874950725369a80d5e

Observation 1274b5ae-2827-453e-8267-02c5f6290d2f · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-11T16:14:11.478759Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:14:11.478759Z digest=sha256:a9df84cd7497efc90675b438d29a414c63d657c491e1cf2cc99b675d8ee8da24

Observation 0bfa4c3b-789a-4316-898e-f7c82dbfe14b · outbound

This paper cites The L-functions and modular forms da tabase.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals The L-functions and modular forms da tabase

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:14:11.989776Z

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.

source=pdf_text observed=2026-08-11T16:14:11.481927Z digest=sha256:ffe3d5603ef1664de450d5fd56e425d1881cbc90e6c223083777a1675a03d79b

Observation f7dd6cad-a527-4c89-9928-0745763ae2a7 · outbound

This paper cites Lombardo.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Lombardo

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:14:11.980733Z

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.

source=pdf_text observed=2026-08-11T16:14:11.485872Z digest=sha256:ded328a4882a81c9e35345468579cbd881d32a5e5e6dd369b707178e5fbfc2fe

Observation 60a6ef02-f6a8-4b8e-95e9-ff5c697f2f6c · outbound

This paper cites Lombardo and S.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Lombardo and S

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:14:11.971641Z

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.

source=pdf_text observed=2026-08-11T16:14:11.489340Z digest=sha256:4fa1ddeeb1b2e52516e03e531cbfe1887cd367b0aa8247a657094495ac9573ae

Observation 4659194b-bc1f-48cc-ba67-a443ae85c5d8 · outbound

This paper cites Lozano-Robledo.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Lozano-Robledo

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:14:11.962550Z

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.

source=pdf_text observed=2026-08-11T16:14:11.493369Z digest=sha256:fa8348f18d4b627c32cd8d0252ec0de8b747e27bfd30ebbaeb9a2be9589209af

Observation 3cd869cd-4b6c-4010-ad98-daa5c9ac7fc0 · outbound

This paper cites Masser and G.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Masser and G

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:14:11.952686Z

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.

source=pdf_text observed=2026-08-11T16:14:11.496586Z digest=sha256:929b7ff9f857422903e65ec129e099bca2922bb1798c049bef3527bb8625ad14

Observation 6dd07d89-9b25-4a64-8d72-3961201a85d0 · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:14:11.943076Z

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.

source=pdf_text observed=2026-08-11T16:14:11.499751Z digest=sha256:f4167552e935d2225443d81ad4db8eb6a254de49836ae9ea9f8f951b93919b28

Observation cc5c7d4a-2b3d-40f9-bda7-3b012b15cc7a · outbound

This paper cites Mayle and T.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Mayle and T

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:14:11.932657Z

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.

source=pdf_text observed=2026-08-11T16:14:11.503019Z digest=sha256:db12ff2a99b2a514db4c979bb429731cd9adfbda1ee03c8993d6e368cc73dc64

Observation cf6c079f-6750-4824-91cf-73826d5d3f7e · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:14:11.923483Z

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.

source=pdf_text observed=2026-08-11T16:14:11.506402Z digest=sha256:dac3ad95abf2156aefb8d8d57ba6105ec49967dea007c47cda774651d8f5bbfe

Observation a164f638-02a4-4518-b0ae-e0cc9594dbd2 · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:14:11.913054Z

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.

source=pdf_text observed=2026-08-11T16:14:11.509906Z digest=sha256:17c755d0b92dce88b85cc914d7e2c1ea4c9d3f1ab67c18120e5ba3ba61c070ab

Observation 032d43a8-3158-4190-bbe9-080681708935 · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:14:11.903841Z

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.

source=pdf_text observed=2026-08-11T16:14:11.513015Z digest=sha256:80a25425b305c0878fef7cd7c34c62294f8e3102182f83603c0d267143421c29

Observation 9873a738-8294-4ec7-b124-07c921b7e700 · outbound

This paper cites Momose and M.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Momose and M

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:14:11.893674Z

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.

source=pdf_text observed=2026-08-11T16:14:11.516033Z digest=sha256:0a63a7d6f81f2a4c563882870220df79af46683d3e7da0527b6894b94d33f540

Observation 557266f1-0efc-4455-b414-138d9f6c6891 · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:14:11.883222Z

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.

source=pdf_text observed=2026-08-11T16:14:11.519181Z digest=sha256:2238d9f27e426af89882a2ba23e6ace36bfa9882e60042c344f2e96be7d876e9

Observation 6169f5e1-163a-48a0-8ea9-cf06b0c0d7e7 · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:14:11.874351Z

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.

source=pdf_text observed=2026-08-11T16:14:11.523170Z digest=sha256:ffd90099af4ba2110e0a2000e8a23167a96bcb19e4200a3f2a68a18e54715bfb

Observation 6474dac0-d035-4ca2-8663-9bb94518aada · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:14:11.864760Z

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.

source=pdf_text observed=2026-08-11T16:14:11.527015Z digest=sha256:5bdf9809110e9ae98f23faf6ff596bfd91764d5b22672a098282f2ba84349cff

Observation cf0bae70-05e2-4e19-9537-3fb9539c9a54 · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:14:11.855639Z

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.

source=pdf_text observed=2026-08-11T16:14:11.530823Z digest=sha256:b61acda3e144ab2c2b7e477d44bd9607c8a8a98cde29707f58a298b92e075022

Observation af08ebe0-1dae-43c9-9bff-e161354954ad · outbound

This paper cites Rouse, A.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Rouse, A

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:14:11.846480Z

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.

source=pdf_text observed=2026-08-11T16:14:11.534156Z digest=sha256:e55a48c4e4814e75c7c21f4787e699cab5fce1555aebe210e3970c47b4f5e708

Observation b9850424-b4cf-454c-bc36-3b061e9c17e9 · outbound

This paper cites Rouse and D.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Rouse and D

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:14:11.827761Z

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.

source=pdf_text observed=2026-08-11T16:14:11.541587Z digest=sha256:05da3e689db74aada3d789e4475142f8851af874147fba07b1e02510d1c6dcad

Observation 0aa96c3b-b023-493b-8951-47c85b32b2a6 · outbound

This paper cites Schoof and N.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Schoof and N

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:14:11.817584Z

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.

source=pdf_text observed=2026-08-11T16:14:11.544863Z digest=sha256:f99e8c41cc55299d2b0cbab285c5423abcaaf99264db3961eafc90c155986218

Observation 8d5da33a-515a-48d0-9045-1e7232540680 · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:14:11.807721Z

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.

source=pdf_text observed=2026-08-11T16:14:11.548126Z digest=sha256:e21505064f40e7bcf659d0e820ef99a96fb83f4f77306625ba33c289658fee81

Observation c9d5619e-acb5-434d-8286-4956f13435ff · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:14:11.798691Z

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.

source=pdf_text observed=2026-08-11T16:14:11.551525Z digest=sha256:f38d4013b670e0a6f69ed9be49c9ad561baebbe3c85912921745230688740e98

Observation 6b60ca41-91f7-4df3-8fb5-b5a99cf1ef9d · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:14:11.788529Z

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.

source=pdf_text observed=2026-08-11T16:14:11.554679Z digest=sha256:81be12e3c2601983a2f6bb1c4a6652cea3c5cfdf6fb66afa451298e29aa87c2c

Observation e83005b5-7f73-4668-a14c-0d018f46c2e3 · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:14:11.777267Z

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.

source=pdf_text observed=2026-08-11T16:14:11.558417Z digest=sha256:7890994f5824fca91f3df837dd1dfab6b0129daf12bcdb1f65962bfd6a4a712b

Observation 6b639ad2-f183-425b-ae32-077d1b893dcd · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:14:11.767721Z

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.

source=pdf_text observed=2026-08-11T16:14:11.562304Z digest=sha256:45616b370f34b5bed7b10f690b52bc14fd677ee1f5445ed5e67854b15bc9dff5

Observation b1719d3b-dc18-42ab-b13e-b820bd876407 · outbound

This paper cites Sol´ e and M.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Sol´ e and M

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:14:11.757866Z

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.

source=pdf_text observed=2026-08-11T16:14:11.565387Z digest=sha256:4c3b426adedc55eb912530310571b1caded4ad77338b57a96182bda62b6a6f79

Observation 7ed2ae69-4ac7-4bc6-a8e5-bcdb52f48902 · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:14:11.747142Z

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.

source=pdf_text observed=2026-08-11T16:14:11.568676Z digest=sha256:fcf0f532289fb5088a4688aa8450cd4902e13c6c4549fb73d779097e0637f5b7

Observation e3fd4c0c-9da5-4516-a43e-1659c74befc2 · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 61

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:14:11.735455Z

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.

source=pdf_text observed=2026-08-11T16:14:11.571856Z digest=sha256:e30a60c34857cda944474d2b2b18dbdc8ee771ff4949e80eb1469a905a062759

Observation ec0ee588-7b01-4259-98f1-2b955c29e311 · outbound

This paper cites Bounds for Serre's open image theorem.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Bounds for Serre's open image theorem

Reference 62

Resolution
verified exact
local_arxiv, observed 2026-08-11T16:14:11.649275Z

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.

source=pdf_text observed=2026-08-11T16:14:11.574821Z digest=sha256:61042f6ba28eb196eff8ce1ff2d9f6a025f701dfb66cc8a6f67e628fc20103cd

Observation 42e4e153-0995-4fc7-8c3b-af779b5021dc · outbound

This paper cites On the possible images of the mod ell representations associated to elliptic curves over Q.

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

Resolution
unresolved
no resolver link, observed 2026-08-11T16:14:11.578342Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:14:11.578342Z digest=sha256:0891dc7be3a84683d37bc21428fe2c5c52489a905903e5a22db8e25a5d2aec66

Observation 5e98ef47-01a0-4aab-86ae-128dd7da2f54 · outbound

This paper cites Possible indices for the Galois image of elliptic curves over Q.

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

Resolution
unresolved
no resolver link, observed 2026-08-11T16:14:11.582004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:14:11.582004Z digest=sha256:e9f51bebe5c203ea96a08a00aaf66ecddab4d7518a0634d00d53a2e7df27a49c

Observation 9cc13c75-5459-4bbe-998a-99370d97121a · outbound

This paper cites Explicit open images for elliptic curves over $\mathbb{Q}$.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Explicit open images for elliptic curves over $\mathbb{Q}$

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-11T16:14:11.585761Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:14:11.585761Z digest=sha256:0f94a2bec6f88f9f9f0b131a2a5dd1e16a5d66d78aaec8023010339d536e51eb

Observation 23189e37-d5d8-4f00-866e-902fea8b5885 · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 1967

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:14:12.305040Z

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.

source=pdf_text observed=2026-08-11T16:14:11.405290Z digest=sha256:90617969e24a4063b287f7550ae2a7a796684caa715b112dbc02834bb4410393

Observation c27805b3-2c3e-43ce-becd-1f3b5d6cfcff · outbound

This paper cites an unresolved cited work.

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals Unresolved cited work

Reference 2022

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:14:11.837092Z

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.

source=pdf_text observed=2026-08-11T16:14:11.537480Z digest=sha256:4e6d14d8cb0df1adf422571a1010bcb110c91145ea96471cdf860c90f6793f70

Pith citing papers

Observation 2b2db2c1-f3e0-4d8c-ab90-e6f4e08a4cd1 · inbound

Explicit p-adic Hodge theory for elliptic curves and non-split Cartan images cites this paper.

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

Resolution
unresolved
no resolver link, observed 2026-08-02T19:05:04.966848Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T19:05:04.966848Z digest=sha256:69379f6d74f1754b76d9ee308223b146e6fe213474d0ad647dc676212730a045