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Paper Citation Record · LEDGER

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations

As of 23 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2505.12947.

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

pith.paper-citation-record.v1
2505.12947 v1

Coverage vector

measured 30 of 30 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-15T20:39:15.814103Z

measured 30 of 30 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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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Reference resolution

30 of 30 outbound references displayed

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External citation measurements

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Outbound references

Observation 64c384ad-5975-4c6d-8a5c-9b921376b9c0 · outbound

This paper cites Modularity and effective Mordell I.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations Modularity and effective Mordell I

Reference 1

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Observation 3e947c38-0113-422c-b4e8-525c6f306be1 · outbound

This paper cites Explicit Chabauty–Kim for the split Cartan modular curve of level 13.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations Explicit Chabauty–Kim for the split Cartan modular curve of level 13

Reference 2

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Observation 8a69ebb8-7eb3-4dba-aa9a-691acd440135 · outbound

This paper cites Two recent p-adic approaches towards the (effective) Mordell conjecture.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations Two recent p-adic approaches towards the (effective) Mordell conjecture

Reference 3

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Observation 98af2759-aaf7-47c9-8b28-fed53e56f71c · outbound

This paper cites Refined Selmer equations for the thrice-punctured line in depth two.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations Refined Selmer equations for the thrice-punctured line in depth two

Reference 4

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Observation 45024636-daf0-4674-aa4e-7395d35abf2f · outbound

This paper cites Quantitative Siegel’s theorem for Galois coverings.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations Quantitative Siegel’s theorem for Galois coverings

Reference 5

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Observation 45a1caa4-a38a-42b0-87b2-98868871baee · outbound

This paper cites On the modularity of elliptic curves overQ: wild 3-adic exercises.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations On the modularity of elliptic curves overQ: wild 3-adic exercises

Reference 6

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Observation b5995704-b2e5-45e3-8596-1a902ccdedac · outbound

This paper cites A course in computational algebraic number theory.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations A course in computational algebraic number theory

Reference 7

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source=pdf_text observed=2026-08-15T20:39:15.703385Z digest=sha256:b1aa4084555330aa29f162dd60ec11a313b46ee1e38431eb0203f08caef40a7d

Observation ba1a4c71-0611-462b-8c85-ecc296b89e1b · outbound

This paper cites The Unipotent Chabauty-Kim-Kantor Method for Relative Completions.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations The Unipotent Chabauty-Kim-Kantor Method for Relative Completions

Reference 8

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source=pdf_text observed=2026-08-15T20:39:15.707839Z digest=sha256:fe8ffa9bd5ebcded0e48b12af4e8777ec4073769673fd2f4a3b7e730734eb6ee

Observation c43441fb-8ed6-4f88-ac9d-b571f61c61a1 · outbound

This paper cites Algorithms for Modular Elliptic Curves Full Canadian Binding.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations Algorithms for Modular Elliptic Curves Full Canadian Binding

Reference 9

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source=pdf_text observed=2026-08-15T20:39:15.713210Z digest=sha256:11e9102d1d48935136dbafb7293ac9c3759f7fb577dcfaed3cfebee0b4e2c4a0

Observation 4e7a5ef6-74d1-4cfa-9983-90a0132aebd7 · outbound

This paper cites Elliptic Curve Data.GitHubrepository.2025.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations Elliptic Curve Data.GitHubrepository.2025

Reference 10

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Observation 88a7307a-120e-4fec-a019-55725cab57e0 · outbound

This paper cites Mixed Tate motives and the unit equation.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations Mixed Tate motives and the unit equation

Reference 11

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Observation 6cb0a56e-1566-4de0-9fc3-dfbd9788fea5 · outbound

This paper cites Centrum voor wiskunde en informatica, 1989.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations Centrum voor wiskunde en informatica, 1989

Reference 12

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Observation 181a984f-25cb-4a22-8065-3ac518c25de1 · outbound

This paper cites On the Manin constants of modular elliptic curves.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations On the Manin constants of modular elliptic curves

Reference 13

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Observation c5cb5eba-90f6-4a41-875c-4cdb857f5b7d · outbound

This paper cites Endlichkeitssätze für abelsche Varietäten über Zahlkörpern.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations Endlichkeitssätze für abelsche Varietäten über Zahlkörpern

Reference 14

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Observation 7cb8d66a-ee89-4d34-bd2a-d2b322d5f7f0 · outbound

This paper cites Polylogarithmic motivic Chabauty-Kim for P1\{ 0, 1,∞}: the geometric step via resultants.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations Polylogarithmic motivic Chabauty-Kim for P1\{ 0, 1,∞}: the geometric step via resultants

Reference 15

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Observation 87c6b734-90e3-46db-bb44-b673fb1ef5c2 · outbound

This paper cites Effectively computing integral points on the moduli of smooth quartic curves.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations Effectively computing integral points on the moduli of smooth quartic curves

Reference 16

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Observation d41be56b-2665-4c1d-9e43-bf74f58e0b41 · outbound

This paper cites Modularity and integral points on moduli schemes.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations Modularity and integral points on moduli schemes

Reference 17

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Observation c66c3ceb-b580-4ca9-9a64-05e52a9b1af4 · outbound

This paper cites an unresolved cited work.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations Unresolved cited work

Reference 18

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Observation 3e30b98e-172b-4e26-93c8-4ee163783ee3 · outbound

This paper cites The Chabauty-Kim Method for Relative Completions.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations The Chabauty-Kim Method for Relative Completions

Reference 19

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source=pdf_text observed=2026-08-15T20:39:15.760686Z digest=sha256:499a98cdc57e9d0cc9e0cae1dc8a64180ab73b45a2cc6a390a70f622d757c343

Observation f32e5512-e1fd-48e7-b9c2-b128b8072afa · outbound

This paper cites On the number of Q-isomorphism classes of elliptic curves in eachQ-isogeny class.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations On the number of Q-isomorphism classes of elliptic curves in eachQ-isogeny class

Reference 20

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Observation 427014d4-6baa-4862-8fd1-d0afa198bf0a · outbound

This paper cites The motivic fundamental group of the projective line minus three points and the theorem of Siegel.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations The motivic fundamental group of the projective line minus three points and the theorem of Siegel

Reference 21

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Observation 50818b8e-c90c-4977-89a5-2462d48dfb47 · outbound

This paper cites Diophantine problems and p-adic period mappings.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations Diophantine problems and p-adic period mappings

Reference 22

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Observation b8291473-1fce-4591-a7ea-8eb237a1cae0 · outbound

This paper cites Rational isogenies of prime degree.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations Rational isogenies of prime degree

Reference 23

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Observation 97d57e94-e52f-49b2-b212-e355150a96a4 · outbound

This paper cites Algebraiccurvesoverfunctionfields.I.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations Algebraiccurvesoverfunctionfields.I

Reference 24

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Observation 465ea8a7-9025-4195-bf84-24c8d117c4c3 · outbound

This paper cites Über einige anwendungen diophantischer approximationen.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations Über einige anwendungen diophantischer approximationen

Reference 25

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source=pdf_text observed=2026-08-15T20:39:15.789568Z digest=sha256:fec05b69edc5e73ff890924d8cd211c48da306dbcd8c041c26fcd6ce76181c1f

Observation 61eadd02-972a-412f-b758-02c175b1195f · outbound

This paper cites The arithmetic of elliptic curves.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations The arithmetic of elliptic curves

Reference 26

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Observation 91e65335-69e1-42a5-8352-ff6a72348948 · outbound

This paper cites Ring-theoretic properties of certain Hecke algebras.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations Ring-theoretic properties of certain Hecke algebras

Reference 27

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source=pdf_text observed=2026-08-15T20:39:15.798766Z digest=sha256:04d29728a314f249e35ccb4c3845551c38c13f40a042710c5b3cf91a3118c20f

Observation fc1eb514-8b1a-4b7a-a756-81ffdd3e1e5c · outbound

This paper cites Isogénies entre courbes elliptiques.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations Isogénies entre courbes elliptiques

Reference 28

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source=pdf_text observed=2026-08-15T20:39:15.804040Z digest=sha256:3d9a4a32cc3b42ed79282490d0122faf57ac03f6f3d65608643ab62becd67620

Observation 5214329b-341d-42ad-8d3b-fac5b6be1985 · outbound

This paper cites Modular elliptic curves and Fermat’s last theorem.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations Modular elliptic curves and Fermat’s last theorem

Reference 29

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source=pdf_text observed=2026-08-15T20:39:15.809658Z digest=sha256:114b804d57e67e0444b8191bb27430249867990721b1a5455a8be1d99993ca9f

Observation 31097c79-7116-4fda-bfff-266f38d2b73c · outbound

This paper cites Modular Chabauty for Modular Curves: Python/Sage Implementation.

Modular Chabauty: Effective S-Integral Point Computation On Curves with Elliptic Fibrations Modular Chabauty for Modular Curves: Python/Sage Implementation

Reference 30

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source=pdf_text observed=2026-08-15T20:39:15.814103Z digest=sha256:f54964bb82a079adc4f7853e17aefe059baccd3490e8942defd007a4826e2350

Pith citing papers

No inbound Pith citation observations are available.