Paper Citation Record · LEDGER

Remarks on a theorem of Silverman

As of 12 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2607.09002.

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pith.paper-citation-record.v1
2607.09002 v1

Coverage vector

measured 35 of 35 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-13T01:05:47.278769Z

measured 35 of 35 standing notices

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measured 0 of 1 external citation measurements

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Reference resolution

35 of 35 outbound references displayed

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Outbound references

Observation a898e71f-4763-425d-a674-c74de100c9d0 · outbound

This paper cites The Betti map associated to a section of an abelian scheme.Inventiones Mathematicae, 222(1):161–202, 2020.

Remarks on a theorem of Silverman The Betti map associated to a section of an abelian scheme.Inventiones Mathematicae, 222(1):161–202, 2020

Reference 1

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Observation 14b12458-af86-44ed-97e2-57eead488ff3 · outbound

This paper cites an unresolved cited work.

Remarks on a theorem of Silverman Unresolved cited work

Reference 2

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Observation 2e7b7a09-06c7-4929-b322-2d5c06f44e69 · outbound

This paper cites Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve.

Remarks on a theorem of Silverman Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve

Reference 3

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Observation 89a473e8-88d8-4a40-9ce5-bdebd1720024 · outbound

This paper cites Greatest common divisor results on semia- belian varieties and a conjecture of Silverman.Res.

Remarks on a theorem of Silverman Greatest common divisor results on semia- belian varieties and a conjecture of Silverman.Res

Reference 4

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Observation 196bbcd8-9c35-439c-9e42-d280090779a3 · outbound

This paper cites Betti maps, Pell equations in polynomials and almost-Belyi maps.Forum of Mathematics, Sigma, 10:e84, 2022.

Remarks on a theorem of Silverman Betti maps, Pell equations in polynomials and almost-Belyi maps.Forum of Mathematics, Sigma, 10:e84, 2022

Reference 5

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Observation 1fb63bd3-fef0-436c-826e-3af176d95085 · outbound

This paper cites an unresolved cited work.

Remarks on a theorem of Silverman Unresolved cited work

Reference 6

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Observation 4540932e-e5f5-4bcf-898b-99493fe90cf3 · outbound

This paper cites Baum and Melvin M.

Remarks on a theorem of Silverman Baum and Melvin M

Reference 7

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Observation ae165b38-501f-4006-93ea-e7539a69b615 · outbound

This paper cites The orders of the reductions of a point in the Mordell–Weil group of an elliptic curve.Acta Arithmetica, 88(3):219–222, 1999.

Remarks on a theorem of Silverman The orders of the reductions of a point in the Mordell–Weil group of an elliptic curve.Acta Arithmetica, 88(3):219–222, 1999

Reference 8

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Observation 057a2ef1-5c88-4f25-9bc8-82f2e9d55ba6 · outbound

This paper cites On the torsion values for sections of an elliptic scheme.Journal für die reine und angewandte Mathematik (Crelles Journal), 782:1–41, 2022.

Remarks on a theorem of Silverman On the torsion values for sections of an elliptic scheme.Journal für die reine und angewandte Mathematik (Crelles Journal), 782:1–41, 2022

Reference 9

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Observation dd80c510-6d2e-47cf-86cc-2908ac2d92b6 · outbound

This paper cites Number 62 in Mémoires de la Société Mathématique de France (N.S.).

Remarks on a theorem of Silverman Number 62 in Mémoires de la Société Mathématique de France (N.S.)

Reference 10

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Observation 96065f14-561d-4024-abd9-6fe2027d3a71 · outbound

This paper cites A polynomial Zsigmondy theorem.Journal of Algebra, 343(1):138– 142, 2011.

Remarks on a theorem of Silverman A polynomial Zsigmondy theorem.Journal of Algebra, 343(1):138– 142, 2011

Reference 11

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Observation 4a9e8861-2947-4f16-bbcb-fc2b919191c8 · outbound

This paper cites Generic rank of Betti map and unlikely intersections.Compositio Mathematica, 156(12):2469–2509, 2020.

Remarks on a theorem of Silverman Generic rank of Betti map and unlikely intersections.Compositio Mathematica, 156(12):2469–2509, 2020

Reference 12

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Observation 0a36be2b-dbd7-4b38-ad90-6a315424705f · outbound

This paper cites The Relative Manin-Mumford Conjecture.

Remarks on a theorem of Silverman The Relative Manin-Mumford Conjecture

Reference 13

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Observation ae429e28-ce55-48a2-b853-ba6d2f0a4a78 · outbound

This paper cites Springer, New York, 1 edition, 1977.

Remarks on a theorem of Silverman Springer, New York, 1 edition, 1977

Reference 14

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Observation 83472520-41de-4fd3-8e50-74da21836819 · outbound

This paper cites Silverman, Katherine E.

Remarks on a theorem of Silverman Silverman, Katherine E

Reference 15

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Observation 68766c55-1b6e-47bc-8324-0894b0e3b06c · outbound

This paper cites Springer, New York, 1 edition, 1983.

Remarks on a theorem of Silverman Springer, New York, 1 edition, 1983

Reference 16

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Observation be7b4501-83be-4a02-a5d9-3b51ac79929c · outbound

This paper cites On a theorem of liouville in fields of positive characteristic.Canadian Journal of Mathemat- ics, 1:397–400, 1949.

Remarks on a theorem of Silverman On a theorem of liouville in fields of positive characteristic.Canadian Journal of Mathemat- ics, 1:397–400, 1949

Reference 17

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Observation f520cc60-b009-4b58-880b-7ce117349f08 · outbound

This paper cites Divisibility sequences of polynomials and heights estimates.

Remarks on a theorem of Silverman Divisibility sequences of polynomials and heights estimates

Reference 18

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Observation 5dd7a0a6-0775-4dac-9c57-082f58c7895f · outbound

This paper cites Primitive divisors of elliptic divisibility sequences over function fields with constantj-invariant.Journal of Number Theory, 213:152–186, 2020.

Remarks on a theorem of Silverman Primitive divisors of elliptic divisibility sequences over function fields with constantj-invariant.Journal of Number Theory, 213:152–186, 2020

Reference 19

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Observation 654d54e7-171b-42dd-9be4-1e70f7ee4e85 · outbound

This paper cites Common valuations of division polynomials.Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 155(5):1646–1660, 2025.

Remarks on a theorem of Silverman Common valuations of division polynomials.Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 155(5):1646–1660, 2025

Reference 20

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Observation d24d815c-1879-4ad7-a6e6-088c8faff7eb · outbound

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Remarks on a theorem of Silverman Unresolved cited work

Reference 21

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Observation de78b220-6ee8-4947-bc63-18fb812c968d · outbound

This paper cites La Sapienza.

Remarks on a theorem of Silverman La Sapienza

Reference 22

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Observation 99e5e45a-531d-4749-831f-03ddf06faa05 · outbound

This paper cites Primitive divisors of the expressiona n −b n in algebraic number fields.Journal für die reine und angewandte Mathematik, 268/269:27–33, 1974.

Remarks on a theorem of Silverman Primitive divisors of the expressiona n −b n in algebraic number fields.Journal für die reine und angewandte Mathematik, 268/269:27–33, 1974

Reference 23

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Observation b62957e4-899c-49a2-b164-091fd6573e92 · outbound

This paper cites Silverman.

Remarks on a theorem of Silverman Silverman

Reference 24

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Observation 85b99a9b-dedc-4957-916d-083f4452f88c · outbound

This paper cites Silverman.

Remarks on a theorem of Silverman Silverman

Reference 25

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Observation 6e892cae-83ce-4ce1-8e0f-d7d59636247e · outbound

This paper cites Silverman.Advanced Topics in the Arithmetic of Elliptic Curves, volume 151 ofGraduate Texts in Mathematics.

Remarks on a theorem of Silverman Silverman.Advanced Topics in the Arithmetic of Elliptic Curves, volume 151 ofGraduate Texts in Mathematics

Reference 26

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Observation 5562c591-ec89-444b-8ff6-17f25396203d · outbound

This paper cites Silverman.The Arithmetic of Elliptic Curves, volume 106 ofGraduate Texts in Mathematics.

Remarks on a theorem of Silverman Silverman.The Arithmetic of Elliptic Curves, volume 106 ofGraduate Texts in Mathematics

Reference 27

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Observation 193b3bc5-79da-403f-9de8-73418f15ae42 · outbound

This paper cites The Stacks project.https://stacks.math.columbia.edu, 2026.

Remarks on a theorem of Silverman The Stacks project.https://stacks.math.columbia.edu, 2026

Reference 28

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Observation d62d3b30-613b-47bc-8e5c-3232efa1fc1b · outbound

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Remarks on a theorem of Silverman Unresolved cited work

Reference 29

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Observation cd23e429-2480-4530-9122-f39a4f6153db · outbound

This paper cites The rank of elliptic curves.Doklady Akademii Nauk SSSR, 175(4):770– 773, 1967.

Remarks on a theorem of Silverman The rank of elliptic curves.Doklady Akademii Nauk SSSR, 175(4):770– 773, 1967

Reference 30

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Observation f927480d-efc9-46c4-a2aa-a739fb7fc0e2 · outbound

This paper cites Bounding tangencies of sections on elliptic surfaces.International Mathematics Research Notices.

Remarks on a theorem of Silverman Bounding tangencies of sections on elliptic surfaces.International Mathematics Research Notices

Reference 31

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Observation d5cdd66d-89f9-48b2-8032-4b445aba53c8 · outbound

This paper cites Some effectivity results for primitive divisors of elliptic divisibility sequences.Pacific Journal of Mathematics, 325(2):331–351, 2023.

Remarks on a theorem of Silverman Some effectivity results for primitive divisors of elliptic divisibility sequences.Pacific Journal of Mathematics, 325(2):331–351, 2023

Reference 32

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Observation 05af3ec9-2407-477d-bd2c-2835dfde7aa5 · outbound

This paper cites Multiplier ideal sheaves, Nevanlinna theory, and Diophantine approximation.

Remarks on a theorem of Silverman Multiplier ideal sheaves, Nevanlinna theory, and Diophantine approximation

Reference 33

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Observation 255ec218-b6ef-4f99-8fd2-45a58a666ed2 · outbound

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Remarks on a theorem of Silverman Unresolved cited work

Reference 34

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Observation 526b54ee-741b-45f0-8616-da3f4d4fc779 · outbound

This paper cites Zur Theorie der Potenzreste.Monatshefte für Mathematik und Physik, 3(1):265–284, 1892.

Remarks on a theorem of Silverman Zur Theorie der Potenzreste.Monatshefte für Mathematik und Physik, 3(1):265–284, 1892

Reference 35

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