Paper Citation Record · LEDGER

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture

As of 7 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2601.16044.

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

pith.paper-citation-record.v1
2601.16044 v3

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T08:45:27.014761Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

23 of 23 outbound references displayed

verified exact0
verified fuzzy0
unresolved23
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malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5ff80096-a761-4cb9-85c9-4e58c7cdedb7 · outbound

This paper cites INFINITE F AMILIES OF ELLIPTIC CUR VES SATISFYING BSD 9.

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture INFINITE F AMILIES OF ELLIPTIC CUR VES SATISFYING BSD 9

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T08:45:24.625839Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78ffa4ee-a38c-4506-a209-5c8848f0def2 · outbound

This paper cites an unresolved cited work.

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T08:45:24.690536Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f8613b2-5394-447d-9148-09b313b3f8ba · outbound

This paper cites A majority of elliptic curves over $\mathbb Q$ satisfy the Birch and Swinnerton-Dyer conjecture.

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture A majority of elliptic curves over $\mathbb Q$ satisfy the Birch and Swinnerton-Dyer conjecture

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T08:45:24.792247Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac617afb-1b2f-4152-98c8-5817e2c7abdf · outbound

This paper cites Zeta elements for elliptic curves and applications.

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture Zeta elements for elliptic curves and applications

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T08:45:24.930770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ffe273c5-916f-4201-8895-072fc0da4163 · outbound

This paper cites 2, 714–734.

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture 2, 714–734

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T08:45:24.999701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6eb1f6d5-1c48-496d-9d51-6b4cca8e5fca · outbound

This paper cites 3, 223–251.

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture 3, 223–251

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T08:45:25.099890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 372e0877-2d8d-42a1-9320-6b76c0d9cce1 · outbound

This paper cites an unresolved cited work.

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T08:45:25.177881Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f22ac1f-1bde-4882-87bc-447b94351da8 · outbound

This paper cites an unresolved cited work.

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T08:45:25.248883Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f884168-1b67-4c7f-948e-2e3bbabb9e7d · outbound

This paper cites 31, Springer Science & Business Media, 2013.

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture 31, Springer Science & Business Media, 2013

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T08:45:25.316729Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f26e1a26-4ba7-4f0e-bc1b-58c6cdb0fd62 · outbound

This paper cites 3, 419–435.

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture 3, 419–435

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T08:45:25.438584Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21fed5e1-fde5-47c1-9bb5-55e5d1e425fe · outbound

This paper cites 2, 175–198.

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture 2, 175–198

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T08:45:25.602462Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d57026d-ea91-4ac4-a1f5-612af46b9d99 · outbound

This paper cites an unresolved cited work.

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T08:45:25.762264Z

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Unavailable: canonical work link unavailable.

Observation ec7c26d1-06bf-4472-8909-0fbe09a23b50 · outbound

This paper cites 253, 68–78.

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture 253, 68–78

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T08:45:25.859998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 837bcfc7-121f-46b2-9fa7-a1b25e957596 · outbound

This paper cites 2, 129–162, With an appendix by Dorian Goldfeld.

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture 2, 129–162, With an appendix by Dorian Goldfeld

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T08:45:25.995053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d9b786f4-b496-40ab-9aa1-1e1fd45a3a4d · outbound

This paper cites an unresolved cited work.

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T08:45:26.106832Z

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Unavailable: canonical work link unavailable.

Observation 72bf5d6b-ff98-4eba-a4e3-f800832a5c01 · outbound

This paper cites 3, 1029–1068.

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture 3, 1029–1068

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T08:45:26.264151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99fabdf5-9def-4f75-97b6-cc244461334d · outbound

This paper cites 1, 323–350.

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture 1, 323–350

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T08:45:26.352338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db046128-0354-4a0b-b706-c96c67fbd4fe · outbound

This paper cites 1, 171–200.

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture 1, 171–200

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T08:45:26.426338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0cf927b2-5863-4e63-ab3b-493cecf62559 · outbound

This paper cites an unresolved cited work.

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T08:45:26.598542Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07d01ec0-4483-4ec4-be9f-f052b0beb405 · outbound

This paper cites an unresolved cited work.

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T08:45:26.696527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f964ea8-daaa-4400-bf93-d75220126f09 · outbound

This paper cites 338, Springer, 2008.

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture 338, Springer, 2008

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T08:45:26.799446Z

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Unavailable: canonical work link unavailable.

Observation a573aa65-b70f-4f11-9d5d-a2a9eb35cc3c · outbound

This paper cites Math.20(2016), no.

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture Math.20(2016), no

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T08:45:26.897000Z

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Unavailable: canonical work link unavailable.

Observation c02ab960-b4b0-4da9-a5d5-3c2da14abbf8 · outbound

This paper cites an unresolved cited work.

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T08:45:27.014761Z

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Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.