Paper Citation Record · LEDGER

A uniform bound on the smallest surjective prime of an elliptic curve

As of 13 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2501.02345.

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

pith.paper-citation-record.v1
2501.02345 v2

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:27:47.471072Z

measured 34 of 34 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.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

34 of 34 outbound references displayed

verified exact1
verified fuzzy17
unresolved16
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6a2a349a-dfd6-4161-85e2-c50b0660fd5f · outbound

This paper cites Number Theory 9 (2023), no.

A uniform bound on the smallest surjective prime of an elliptic curve Number Theory 9 (2023), no

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:27:47.803676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b7ea7c11-0aaf-4fa9-b365-fcf11b851a1d · outbound

This paper cites an unresolved cited work.

A uniform bound on the smallest surjective prime of an elliptic curve Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:27:47.796834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 99b5d04b-d595-45ce-a829-046e8f3ee300 · outbound

This paper cites Number Theory 130 (2010), no.

A uniform bound on the smallest surjective prime of an elliptic curve Number Theory 130 (2010), no

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:27:47.789805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7bc836ec-f41c-48e2-b052-937c7d3b790a · outbound

This paper cites an unresolved cited work.

A uniform bound on the smallest surjective prime of an elliptic curve Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:27:47.781338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d858687f-2522-4b29-8fe1-eb555871ed63 · outbound

This paper cites an unresolved cited work.

A uniform bound on the smallest surjective prime of an elliptic curve Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:27:47.773849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 176d3131-78ec-45a3-a5bf-dd5560c46fca · outbound

This paper cites an unresolved cited work.

A uniform bound on the smallest surjective prime of an elliptic curve Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:27:47.766008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3b4fdc8b-e077-4fc4-a34f-9bc40a978f1a · outbound

This paper cites an unresolved cited work.

A uniform bound on the smallest surjective prime of an elliptic curve Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:27:47.758444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation be2415eb-dd37-423c-b9a2-0d772538a64c · outbound

This paper cites A classification of curious Galois groups as direct products.

A uniform bound on the smallest surjective prime of an elliptic curve A classification of curious Galois groups as direct products

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:27:47.570632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ef637e7f-6a15-47ff-aad9-d53a1b618a83 · outbound

This paper cites Daniels and Enrique Gonz´ alez-Jim´ enez, Serre’s constant of elliptic curves over the rationals , Exp.

A uniform bound on the smallest surjective prime of an elliptic curve Daniels and Enrique Gonz´ alez-Jim´ enez, Serre’s constant of elliptic curves over the rationals , Exp

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:27:47.750565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bc233427-fde3-4bec-a34d-34b527b2bad6 · outbound

This paper cites Daniels and ´Alvaro Lozano-Robledo, Coincidences of division ﬁelds , Ann.

A uniform bound on the smallest surjective prime of an elliptic curve Daniels and ´Alvaro Lozano-Robledo, Coincidences of division ﬁelds , Ann

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:27:47.742831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0cfaa638-be2b-4471-816f-35c9b87c8496 · outbound

This paper cites Deligne and M.

A uniform bound on the smallest surjective prime of an elliptic curve Deligne and M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:27:47.734857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8c1eb459-752a-4a64-bc0f-2d07bfb1052f · outbound

This paper cites Dieulefait, Explicit determination of the images of the Galois represen tations attached to abelian surfaces with End(A) = Z, Experiment.

A uniform bound on the smallest surjective prime of an elliptic curve Dieulefait, Explicit determination of the images of the Galois represen tations attached to abelian surfaces with End(A) = Z, Experiment

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:27:47.726421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f86ff8e5-9abd-4163-b3ca-74fbc32c4887 · outbound

This paper cites an unresolved cited work.

A uniform bound on the smallest surjective prime of an elliptic curve Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-10T22:27:47.416254Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47101f2c-9df6-419a-971d-67a24b6fab77 · outbound

This paper cites A uniform bound on the smallest surjective prime.

A uniform bound on the smallest surjective prime of an elliptic curve A uniform bound on the smallest surjective prime

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:27:47.718679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c191ef7a-2157-4527-b49b-c9a824af84f4 · outbound

This paper cites an unresolved cited work.

A uniform bound on the smallest surjective prime of an elliptic curve Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:27:47.709726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f56eaabc-87ef-48bd-bec7-20ae4fd80ffa · outbound

This paper cites an unresolved cited work.

A uniform bound on the smallest surjective prime of an elliptic curve Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:27:47.701100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5028b72e-d68c-4a4c-b16b-9768b17e28a7 · outbound

This paper cites an unresolved cited work.

A uniform bound on the smallest surjective prime of an elliptic curve Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:27:47.692675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 768db685-647a-4213-837d-5168e6fe1720 · outbound

This paper cites an unresolved cited work.

A uniform bound on the smallest surjective prime of an elliptic curve Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-10T22:27:47.428970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14fda204-5cbb-4618-b4f7-499f12a9bec3 · outbound

This paper cites Mazur and P.

A uniform bound on the smallest surjective prime of an elliptic curve Mazur and P

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:27:47.681265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e7fc2f8b-f43a-4454-8357-1c8b9e8f83d9 · outbound

This paper cites Go ldfeld), Invent.

A uniform bound on the smallest surjective prime of an elliptic curve Go ldfeld), Invent

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:27:47.674119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 78a00348-75b7-412a-a6a7-3413c856add8 · outbound

This paper cites Morrow, Composite images of Galois for elliptic curves over Q and entanglement ﬁelds , Math.

A uniform bound on the smallest surjective prime of an elliptic curve Morrow, Composite images of Galois for elliptic curves over Q and entanglement ﬁelds , Math

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:27:47.666280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 499a9fbe-f729-4ab5-90e9-ad3e867dfc3d · outbound

This paper cites Sutherland, and David Zureick-B rown, ell-adic-galois-images, https://github.com/AndrewVSutherland/ell-adic-galois-images , 2021, GitHub repository.

A uniform bound on the smallest surjective prime of an elliptic curve Sutherland, and David Zureick-B rown, ell-adic-galois-images, https://github.com/AndrewVSutherland/ell-adic-galois-images , 2021, GitHub repository

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:27:47.658747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 948dc5b7-f5c9-4a6c-869f-7ace03872dee · outbound

This paper cites Sutherland, and David Zureick-B rown, ℓ-adic images of Galois for elliptic curves over Q (and an appendix with John Voight) , Forum Math.

A uniform bound on the smallest surjective prime of an elliptic curve Sutherland, and David Zureick-B rown, ℓ-adic images of Galois for elliptic curves over Q (and an appendix with John Voight) , Forum Math

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:27:47.649557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d376ed39-24e4-42c5-b92a-f360c460640a · outbound

This paper cites an unresolved cited work.

A uniform bound on the smallest surjective prime of an elliptic curve Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:27:47.641940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a6676527-8284-4e10-84bb-761e56064094 · outbound

This paper cites 117, Springer-Verlag , New York, 1988, Translated from the French.

A uniform bound on the smallest surjective prime of an elliptic curve 117, Springer-Verlag , New York, 1988, Translated from the French

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:27:47.634620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 26b20455-e8d0-4fe5-a2d7-5f1d9a0e7b05 · outbound

This paper cites 7, A K Peters, Ltd., Wellesley, MA, 1998, With the collaboration of Willem Kuyk and John Labute, Revised reprint of the 1968 original.

A uniform bound on the smallest surjective prime of an elliptic curve 7, A K Peters, Ltd., Wellesley, MA, 1998, With the collaboration of Willem Kuyk and John Labute, Revised reprint of the 1968 original

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:27:47.626036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4d2e9665-7086-461d-aa1e-cdfda0bb3a60 · outbound

This paper cites Silverman, The arithmetic of elliptic curves , second ed., Graduate Texts in Mathematics, vol.

A uniform bound on the smallest surjective prime of an elliptic curve Silverman, The arithmetic of elliptic curves , second ed., Graduate Texts in Mathematics, vol

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:27:47.618298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4180d3df-e5fb-4418-8077-0b4c02a57cc3 · outbound

This paper cites Sutherland, Computing images of Galois representations attached to ell iptic curves , Forum Math.

A uniform bound on the smallest surjective prime of an elliptic curve Sutherland, Computing images of Galois representations attached to ell iptic curves , Forum Math

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:27:47.610185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 55a62a6c-9c2e-4ad6-bf71-ee7b187635e5 · outbound

This paper cites Sutherland and David Zywina, Modular curves of prime-power level with inﬁnitely many rat ional points, Algebra Number Theory 11 (2017), no.

A uniform bound on the smallest surjective prime of an elliptic curve Sutherland and David Zywina, Modular curves of prime-power level with inﬁnitely many rat ional points, Algebra Number Theory 11 (2017), no

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:27:47.602397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1642dc6b-dd15-4119-966f-b113168b14c6 · outbound

This paper cites an unresolved cited work.

A uniform bound on the smallest surjective prime of an elliptic curve Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:27:47.594219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6ac24ac0-75f4-4657-a91f-801696410a43 · outbound

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

A uniform bound on the smallest surjective prime of an elliptic curve On the possible images of the mod ell representations associated to elliptic curves over Q

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-10T22:27:47.463126Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6d092cc-b5b5-41f2-ba27-d5a4704ad00e · outbound

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

A uniform bound on the smallest surjective prime of an elliptic curve Explicit open images for elliptic curves over $\mathbb{Q}$

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-10T22:27:47.465952Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d551511e-4b10-4e6e-baeb-39f2788cee61 · outbound

This paper cites an unresolved cited work.

A uniform bound on the smallest surjective prime of an elliptic curve Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:27:47.586388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a2d280e7-d007-4365-b698-66c580c2b135 · outbound

This paper cites an unresolved cited work.

A uniform bound on the smallest surjective prime of an elliptic curve Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-10T22:27:47.578739Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

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