Paper Citation Record · LEDGER

Elliptic curves and finitely generated Galois groups

As of 13 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2510.00750.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2510.00750 v2

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T13:36:44.872945Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

33 of 33 outbound references displayed

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Outbound references

Observation 9bd88977-34dc-44ef-b0f9-ab05f96b4419 · outbound

This paper cites Geometric and differential Galois theories, 1--11, S\'emin.

Elliptic curves and finitely generated Galois groups Geometric and differential Galois theories, 1--11, S\'emin

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T13:36:42.313867Z

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Observation b2d7300e-4835-431c-a433-aa3ed664711e · outbound

This paper cites C.\ R.\ Acad.\ Sci.\ Paris S\'er.

Elliptic curves and finitely generated Galois groups C.\ R.\ Acad.\ Sci.\ Paris S\'er

Reference 2

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Observation ae5b8347-61ab-4eb9-974b-629c7e737ee3 · outbound

This paper cites Canad.\ J.\ Math.

Elliptic curves and finitely generated Galois groups Canad.\ J.\ Math

Reference 3

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Observation 4f235ede-32a0-4003-8113-4be4de75edf6 · outbound

This paper cites Proc.\ London Math.\ Soc.\ (2) 13 (1913), 6--12.

Elliptic curves and finitely generated Galois groups Proc.\ London Math.\ Soc.\ (2) 13 (1913), 6--12

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T13:36:42.520381Z

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Observation 62b52cd1-250a-45ad-b490-0a8750772914 · outbound

This paper cites an unresolved cited work.

Elliptic curves and finitely generated Galois groups Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T13:36:42.607659Z

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Observation 325e2a6d-c8b5-43bc-8d74-be3e5db97234 · outbound

This paper cites Larsen's conjecture for elliptic curves over $\mathbb{Q}$ with analytic rank at most $1$.

Elliptic curves and finitely generated Galois groups Larsen's conjecture for elliptic curves over $\mathbb{Q}$ with analytic rank at most $1$

Reference 6

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Observation a900d6cf-4dfd-461e-93fd-9a4a12d924a2 · outbound

This paper cites D.; du Sautoy, M.

Elliptic curves and finitely generated Galois groups D.; du Sautoy, M

Reference 7

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Observation 5639a9a6-4b61-4eea-8d27-d6649a73c826 · outbound

This paper cites Bull.\ Lond.\ Math.\ Soc.

Elliptic curves and finitely generated Galois groups Bull.\ Lond.\ Math.\ Soc

Reference 8

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Observation a1bd44b0-4508-487d-8609-f4d0995fcb5d · outbound

This paper cites Int.\ J.\ Number Theory 6 (2010), no.\ 3, 579--586.

Elliptic curves and finitely generated Galois groups Int.\ J.\ Number Theory 6 (2010), no.\ 3, 579--586

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T13:36:42.936391Z

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Observation a8f26c32-e6a6-4c39-883e-cd8323f3f5e8 · outbound

This paper cites Proc.\ London Math.\ Soc.\ (3) 28 (1974), 112--128.

Elliptic curves and finitely generated Galois groups Proc.\ London Math.\ Soc.\ (3) 28 (1974), 112--128

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T13:36:43.014805Z

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Observation 8e7138d1-033c-4619-b9ba-c9204662d1b1 · outbound

This paper cites Third edition.

Elliptic curves and finitely generated Galois groups Third edition

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T13:36:43.080495Z

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Observation 4ff38f7f-c74b-4f9f-bbf9-566d2cd61708 · outbound

This paper cites an unresolved cited work.

Elliptic curves and finitely generated Galois groups Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T13:36:43.117878Z

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Observation 3a0960c0-b220-4988-9c53-6f14662a6c0e · outbound

This paper cites On Larsen's conjecture on the ranks of Elliptic Curves.

Elliptic curves and finitely generated Galois groups On Larsen's conjecture on the ranks of Elliptic Curves

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T13:36:43.206540Z

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Observation 6b75174c-5e84-4d61-b5ae-f29d1cec46dd · outbound

This paper cites W.; Jewett, R.

Elliptic curves and finitely generated Galois groups W.; Jewett, R

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T13:36:43.286004Z

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Observation e8efeb9c-ef34-4236-9a87-e8ec97ba3b56 · outbound

This paper cites an unresolved cited work.

Elliptic curves and finitely generated Galois groups Unresolved cited work

Reference 15

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Observation abfe28b0-f6a9-4125-85fd-b04e02fbebfb · outbound

This paper cites Trans.\ Amer.\ Math.\ Soc.

Elliptic curves and finitely generated Galois groups Trans.\ Amer.\ Math.\ Soc

Reference 16

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Observation 2585e8e1-d7a4-485e-bcfe-93c182e04053 · outbound

This paper cites Amer.\ J.\ Math.

Elliptic curves and finitely generated Galois groups Amer.\ J.\ Math

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T13:36:43.531451Z

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Observation bf869598-cd06-4e04-bc1f-348a37f5a8db · outbound

This paper cites an unresolved cited work.

Elliptic curves and finitely generated Galois groups Unresolved cited work

Reference 18

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Observation dbb5a900-a136-4a3f-8f67-c0b4f7c1a49a · outbound

This paper cites Israel J.\ Math.

Elliptic curves and finitely generated Galois groups Israel J.\ Math

Reference 19

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Observation e369c275-8fd3-419d-b979-4f531f411433 · outbound

This paper cites Abelian varieties and number theory, 1--12, Contemp.

Elliptic curves and finitely generated Galois groups Abelian varieties and number theory, 1--12, Contemp

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T13:36:43.779585Z

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Observation 1932d83f-d5af-4a3f-9421-287837a9215e · outbound

This paper cites J.\ Lond.\ Math.\ Soc.

Elliptic curves and finitely generated Galois groups J.\ Lond.\ Math.\ Soc

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T13:36:43.837053Z

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Observation 3ab39b0c-b7de-4ccd-895f-72239204db07 · outbound

This paper cites Acta.\ Arith.

Elliptic curves and finitely generated Galois groups Acta.\ Arith

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T13:36:43.922925Z

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Observation 8a3eb1fd-02a4-41c3-994e-c1e6e9925853 · outbound

This paper cites J.\ Symbolic Logic 75 (2010), no.\ 2, 481--500.

Elliptic curves and finitely generated Galois groups J.\ Symbolic Logic 75 (2010), no.\ 2, 481--500

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T13:36:44.006598Z

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Observation ca1e86f0-19a4-4471-bdc9-aaf61dc9da7f · outbound

This paper cites Springer-Verlag, New York, 1983.

Elliptic curves and finitely generated Galois groups Springer-Verlag, New York, 1983

Reference 24

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Observation e71f2490-4288-420a-b495-47f44add9c3d · outbound

This paper cites Bull.\ London Math.\ Soc.

Elliptic curves and finitely generated Galois groups Bull.\ London Math.\ Soc

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T13:36:44.116194Z

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Observation 3cba7601-a07c-47ad-b9e4-d6fd4ab89461 · outbound

This paper cites A Mordell-Weil theorem for abelian varieties over fields generated by torsion points.

Elliptic curves and finitely generated Galois groups A Mordell-Weil theorem for abelian varieties over fields generated by torsion points

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T13:36:44.203827Z

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Observation 54aac97f-d8a2-438e-929d-3881735bdec3 · outbound

This paper cites Progress in Mathematics, 212.

Elliptic curves and finitely generated Galois groups Progress in Mathematics, 212

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T13:36:44.309398Z

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Observation f9a562a6-87ec-4348-be60-d9adcf3acd19 · outbound

This paper cites Duke Math.\ J.

Elliptic curves and finitely generated Galois groups Duke Math.\ J

Reference 28

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Observation 672d5646-f17c-4b65-a54c-d2660107c166 · outbound

This paper cites an unresolved cited work.

Elliptic curves and finitely generated Galois groups Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T13:36:44.534920Z

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Observation 7ef25d8d-cedc-4a7e-8f88-7d6125ab1ef9 · outbound

This paper cites an unresolved cited work.

Elliptic curves and finitely generated Galois groups Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T13:36:44.612352Z

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Observation b6567bd0-a0ce-4bb7-a8d8-a42da10d9e7e · outbound

This paper cites Comment.\ Math.\ Helv.

Elliptic curves and finitely generated Galois groups Comment.\ Math.\ Helv

Reference 31

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Observation da751512-f418-4955-8347-72e15a0aa102 · outbound

This paper cites J.\ London Math.\ Soc.\ (2) 28 (1983), no.\ 1, 1--7.

Elliptic curves and finitely generated Galois groups J.\ London Math.\ Soc.\ (2) 28 (1983), no.\ 1, 1--7

Reference 32

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Observation d730a4ae-bb60-4fab-923b-887f4c507382 · outbound

This paper cites https://stacks.math.columbia.edu.

Elliptic curves and finitely generated Galois groups https://stacks.math.columbia.edu

Reference 33

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Pith citing papers

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