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Paper Citation Record · LEDGER

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

As of 12 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:cb528982930ade60a3d9b45c7ae392cd2bf01045ac541fffcb595bfd0c0801a3

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
verified fuzzy
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:d3f7048da8373c8d87c061341739abdecb7971e6107b8612b6705529354b12fa

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=sha256:45021345e08ea970909031c09900fc56d90c2be9f01ac1f4a7e0f317b37bb928

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=sha256:6bed9e86de5fb1b2899d466fe735470b805ab36e3f560d105b555692acab6dd9

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=sha256:6fea9737e6c48acf9cd4cd470e497afa00c4d6fa72fcb9661a62e0e634d6542a

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=sha256:26419f810417ebb7c55cdce46af55eceab9d9deb12fbba729511d4c3126ec71f

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:c17e37c4a92479f1603b325194455caae543bc068b279f565610639536703da2

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:e7ed9607a3b8a05974f508f5bc5cb4722b40cb7110e48715641bf76801559bfa

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=sha256:6ef3b1440f1a9387154f66c0c5a39aea3f6902d4bb60ec1aec5e747f866d30c8

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:a71b779be9949c78bb070e727362007c0cc76bd2a202a61bc92da240792d5f84

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

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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:fe19e16ae92869928b1f758f0b2434183e5c647dd9e2cc23a087c27e528f35d2

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=sha256:0400a5a6bb112267fa2e460fd4484bb5ab56b4680ba048c477a02d906bf2e3de

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
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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:acdbf18caad63c87e57fed291dc497728baaf873efa327808021e99e31a8997b

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=sha256:4f2983ce7491ba287157649a26938b781af50ab9a40645e270573eaab51a6949

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:b995f2d2e34c4a98e5df165ef253d6c6142659fb4e29369f9a815467999ae475

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
unresolved
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:b167a0560dcb104468cf159f38601e1dd9961c5ae98f1ea5c26fbcd10dc83c4f

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
unresolved
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:a7f796cd19d2765c58fd5f23cb6685cd75d992fecb8c9d47214e3bbf7d4f3f78

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=sha256:81af1972272d3f3bd57041a990d534a9ed81a4dfe61e9375ed1ac4ae0741d5f7

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=sha256:1f38a8115be63d527f9cb2e43e39535eeaa0608af64b7a6194b72734a761e146

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:c45a5962a503a58e1ce60fe6603f882cdbbb53a7bcbc406d3242341c4b9516b8

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=sha256:662a7914929c6484ad6b9aa02d76c1d9dd11af7d45159a4858e237ecfa1ecc7b

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=sha256:3b85f29d473b7a9da9b9576dc0081a75f61a88a7011f88d2e8a2114c269928ce

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
unresolved
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=sha256:2a55105d752cabfe61a20e9bb8725f91e267d809564d52faca9532a6c44631e3

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=sha256:49b0a5433cf6340e724d2845b1e3b12671cdfe494cace0816ddf736922569d34

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:f29c827777be5546a07964ea30eb58dc7ed6eda02428be50428c72fa7a893a95

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:f3d243189e1c32dede90fb71acadb8fed41a4ca1553e4be60000e5b4b78597ad

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
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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:f40df2a727eeacf3029753adc5085bb27b6b40366ffefc4b394c8c4746ec949d

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
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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=sha256:722a8edecec72b859357ac4924b5d122a07204e04aef5fc62a4cf76c303ad9c7

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

Resolution
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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:a4dbc1912449d0ff57fbcec25d574e8dc2bac73cef452cc1e54500552de7a5cd

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=sha256:1a69fa77a226ad0d6b9a20040eaa5c81513323effafc72db43bdea109d4787a8

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
unresolved
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=sha256:406b96645c6b6d332faefb41f11cbe68cc05164ca862d094be8fb50a720e7a52

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:e0a1525e9a1ec541a3a9b3cd7a05b3bf444d9b90e71219e195a4ae5d960b93c2

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:ac18ec2eb605aa688d9b8ee7ace8a298fcab2c80a9d9b7b8c295ae20fd8151d0

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
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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:d6088771bef0542611bc86ee0e399926553461e1e8507e8a32569b29522e0bb8

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=sha256:1abd10188aad151dabfe454f8dca605ed817ff6345c951c953bb1ad3406c1d7e

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=sha256:796741300abfe24c4599b59b808bdcc6c50976613aa7c1b167ee01662160cf09

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=sha256:1946e665ccb927064d5c1da49786e03878f12ef90d4a0df7ca3dfea2a8cafa83

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=sha256:3b374982b1bfc9d0f3a5a814a7a6d78d694317a3ec92f443abe7e128c87b6141

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=sha256:8b882d1468f94581f0b9d4e3ed06ed90c0bf6eda74be2257f5096cac4a115414

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=sha256:9c20bfc9ea7878f1e3488997f392d014558e5d6547d7f03869296cd2c0564e2d

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=sha256:4030674af7903ebe0e3ab40624af027d737065271c63b9c37dc1e793227e612c

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=sha256:2017c1a84290ee7ab746a83112be82658dac0b6ffa48e50ceef9ccf48789500f

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:cd056a4085e0d6123317143420a7ff10517696751db0f4756813a39897911d43

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=sha256:7b2a857e25ede21a5e21ab80bf81e89da2b6da878f3b63d462691e69e0bdb36a

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:fb7327d242470c3d3ae5a7165ae11236a7857148951f17f366826e7fb2beefa8

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:d7de2ea0bf18da0ffc31e25f3667aa2df9f3020e1406c20f7ae8446efac7d05b

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:d8f9812561f24ecd18eac045fe8409c4e72dccf5637f9f693bbe293ba65d84fb

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:c365a256bea3aac68fc3c03b621cb4328425c42b9f6a8ecb91f3bd1bb980181f

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:d7540a2bd1a3ec34eb68fd9c411f3d79029a7bf7f846fccc04234b7ba52d70df

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:afdf3b25266edc441d4324bf4c9bbde4e827ec603eb7eb6bf3736e2c8a412270

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=sha256:34f5da39818b474fbc136089f421753e768765f268a6a493fe2cddd1efa7ee88

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:ee699621f020144ddf5fc4e775f2009b104207013403a791ca1faeb993b64725

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=sha256:7e6b4d9fdc8855dcd56cd5b0dec93b4f707b8b45caeee213d7b6655ec03ec92c

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=sha256:4dfd1706eb8598649ce22ae777fdaf0ea5e108bcda05ce3ac3d4a75b9336a08e

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:e29252a972c8f3f2dbaffa4308b3a9683afd3fb28296516b4a46b1b31b564944

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=sha256:8e5646ca1a39dd0bced10f6d391995567a98f4bb67756c3d2e3644960b671134

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=sha256:45c8d0f19ff35edf597f5e8194adbde546b522c13810121fd70403f0cefde124

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:fd7de2ff267a1b40dc8bb7a514456e30312b57906f576235e34b933fbc587363

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:bde7ef1d2df4668dc2c295bfa6b16d5fa280fc19fdc98c6e9e24c2b8fdeb787d

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:c11963753874b228a9119680eedcf0145013e4dbe5d2817f48031f4946ceaa85

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=sha256:6e46a270c9347f2bba94ad8ebd959742630189db246a5155d18625fc6ff7dca7

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:caacd4be3eb9747ca67a44f2bab805eb1673d3a04bfe7319faf1c041981897f4

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=sha256:8c95d90d494f82447cbf05aac3940e0028b213fa153df75701f6acde76e1e754

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=sha256:7fba425f92def1a9687449a3be037dcc5184d0d5dc93166eb73fb1980120a15a

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=sha256:93340468c8c9a46be01917f04a0563595bf784a0e35de073a41399d6ce67f478

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=sha256:8f5d48014a128cc54b2b1f1e568d834c4403ea08d90a9a9edfc383b7005e12c1

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:eb88644de1398f369050c31b93b57ebac4a1497082f1164126a7e8cf87f2fd0b

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=sha256:45369341026ded77d6426d3ca25e9501896b0ee8df9da1e33a69e04699d36163