Paper Citation Record · LEDGER

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny

As of 10 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2502.08583.

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

pith.paper-citation-record.v1
2502.08583 v2

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T04:45:42.340068Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T02:41:32.458647Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

35 of 35 outbound references displayed

verified exact4
verified fuzzy28
unresolved3
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malformed identifier0
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External citation measurements

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Outbound references

Observation df3626fa-806e-4857-a8ec-49f4bbeb1f71 · outbound

This paper cites Jacobians of genus one curves.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny Jacobians of genus one curves

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:43.328310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9e8e5e97-bbc7-417d-9f39-a0474437d0c4 · outbound

This paper cites The Hesse pencil of plane cubic curves.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny The Hesse pencil of plane cubic curves

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:43.317816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ec6c3ac6-44aa-4bbd-a728-b52f275a81ab · outbound

This paper cites Shadow line distributions.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny Shadow line distributions

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-08T04:45:42.508092Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8266ab7c-ab47-42b6-a819-537561c8618a · outbound

This paper cites How often does a cubic hypersurface have a rational point?.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny How often does a cubic hypersurface have a rational point?

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-08T04:45:42.492285Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6bee02ef-7163-4377-9d1b-a6f1f26748d2 · outbound

This paper cites Higher composition laws IV: The parametrizat ion of quintic rings.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny Higher composition laws IV: The parametrizat ion of quintic rings

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:43.307194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a6a6b0ae-d2ea-4ea4-94c6-0a9b44ea424c · outbound

This paper cites The proport ion of plane cubic curves over Q that everywhere locally have a point.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny The proport ion of plane cubic curves over Q that everywhere locally have a point

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:43.296300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5d380947-c18c-41b4-83ab-1e8047e1b6fa · outbound

This paper cites The proport ion of genus one curves over Q deﬁned by a binary quartic that everywhere locally have a point.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny The proport ion of genus one curves over Q deﬁned by a binary quartic that everywhere locally have a point

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:43.285377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ddf50e42-74bc-4b3a-8db9-900c793dba5e · outbound

This paper cites The density of polynomials of degree n over Zp having exactly r roots in Qp.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny The density of polynomials of degree n over Zp having exactly r roots in Qp

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:43.273571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 217fe8e3-ab6c-442d-9f16-1bcb39bbf2a5 · outbound

This paper cites The Magma alg ebra system.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny The Magma alg ebra system

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:43.184785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 4a96f09f-bbeb-4632-81d6-3cd7be222dc6 · outbound

This paper cites Counting elliptic curves with prescrib ed level structures over number ﬁelds.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny Counting elliptic curves with prescrib ed level structures over number ﬁelds

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:43.132245Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 322ae437-5b24-467a-8457-b2c5e05e21d7 · outbound

This paper cites Local and global densities for Weierstrass models of elliptic curves.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny Local and global densities for Weierstrass models of elliptic curves

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:42.919949Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 131e69cf-b211-4e93-9639-9a24e0fbdd0b · outbound

This paper cites On a probabilistic local-global principle for torsion on elliptic curves.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny On a probabilistic local-global principle for torsion on elliptic curves

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:42.908214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ec32e6fd-3581-402f-bff6-9fac45fb9045 · outbound

This paper cites Report on Igusa’s local zeta function.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny Report on Igusa’s local zeta function

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:42.896835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e0ef0d45-0c60-471a-9205-bc6b5fab2f45 · outbound

This paper cites Die Typen der Multiplikatorenringe elliptischer Funkt ionenk¨ orper.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny Die Typen der Multiplikatorenringe elliptischer Funkt ionenk¨ orper

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:42.885932Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 05b2283b-e44e-4426-ae0c-20badf9072cb · outbound

This paper cites The invariants of a genus one curve.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny The invariants of a genus one curve

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:42.873905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5d487495-586a-4175-bd06-9b5d146fc9b5 · outbound

This paper cites The hessian of a genus one curve.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny The hessian of a genus one curve

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:42.862965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2f791ddd-cdcf-4e00-a0e9-d3a85232a769 · outbound

This paper cites A formula for the Jacobian of a genus one curve of a rbitrary degree.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny A formula for the Jacobian of a genus one curve of a rbitrary degree

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:42.852399Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 606209a8-215a-4425-ab69-37939228efc6 · outbound

This paper cites Everywhere local solub ility for hypersurfaces in products of projective spaces.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny Everywhere local solub ility for hypersurfaces in products of projective spaces

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:42.839803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 43daffe4-2372-4427-80f0-7f66653c5b73 · outbound

This paper cites Counting elliptic curves wit h prescribed torsion.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny Counting elliptic curves wit h prescribed torsion

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:42.826685Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6554bb26-1d61-4ad9-a265-c76f8f078412 · outbound

This paper cites Algebraic geometry, volume 52.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny Algebraic geometry, volume 52

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-08T04:45:42.184772Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a869c94a-55da-4487-8873-609701fc1a51 · outbound

This paper cites An introduction to the theory of local zeta functions , volume 14.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny An introduction to the theory of local zeta functions , volume 14

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:42.802604Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ae873990-9ddf-4aee-a47b-1b787a487eb3 · outbound

This paper cites Algebraic geometry and arithmetic curves , volume 6.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny Algebraic geometry and arithmetic curves , volume 6

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-08T04:45:42.190548Z

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Unavailable: canonical work link unavailable.

Observation f04bfd45-995f-4334-969a-a04c159eb226 · outbound

This paper cites Elliptic cur ves and formal groups.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny Elliptic cur ves and formal groups

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:42.779513Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 85aa2d24-e96e-4197-b2f1-944fffd32288 · outbound

This paper cites Multiplicative functions inshort intervals.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny Multiplicative functions inshort intervals

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:42.767976Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c9565e07-7dfc-4e48-b7c6-e4b1146a40b8 · outbound

This paper cites A note on elliptic curves with ordinary reduct ion.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny A note on elliptic curves with ordinary reduct ion

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:42.690767Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation fbb1bde7-ecf2-408b-ad41-a95030a5ec58 · outbound

This paper cites On p-torsion of p-adic elliptic curves with additive reduction.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny On p-torsion of p-adic elliptic curves with additive reduction

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-08T04:45:42.204496Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd4be2d4-b92d-4187-b870-bb19cc9cadfb · outbound

This paper cites Counting elliptic curves with an isogeny of degree three.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny Counting elliptic curves with an isogeny of degree three

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:42.620333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b8fc3c8c-44ad-40ac-840c-f28739f361ea · outbound

This paper cites Families of elliptic curves with constant modp representations.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny Families of elliptic curves with constant modp representations

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:42.579328Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 90bce357-929a-484d-ae03-a3804fb8a81b · outbound

This paper cites Une formule de masse pour les extensions t otalement ramiﬁees de degres donne d’un corps local.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny Une formule de masse pour les extensions t otalement ramiﬁees de degres donne d’un corps local

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:42.567264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1d06ca20-6807-4ee2-87ba-7bc6e25d9f26 · outbound

This paper cites Families of elliptic curves ordered by conductor.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny Families of elliptic curves ordered by conductor

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-08T04:45:42.461576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5adf635a-69bf-4202-b040-6fa170c9e6be · outbound

This paper cites The arithmetic of elliptic curves , volume 106.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny The arithmetic of elliptic curves , volume 106

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:42.554806Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 482c0822-9e4a-4b64-b25d-8d681499565f · outbound

This paper cites The discrete logarithm problem on elliptic curves of trace one.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny The discrete logarithm problem on elliptic curves of trace one

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:42.543162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c2fe6b1e-f6dc-4f07-8bf2-41d87119f6d7 · outbound

This paper cites Algorithm for determining the type of a singular ﬁber in an elliptic pencil.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny Algorithm for determining the type of a singular ﬁber in an elliptic pencil

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:42.531219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6ea61844-7674-4be9-9fa3-d59bf1190741 · outbound

This paper cites The greatest common valuatio n of φn and ψ2 n at points on elliptic curves.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny The greatest common valuatio n of φn and ψ2 n at points on elliptic curves

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T04:45:42.519252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1c155c96-4460-4ef7-91e2-2b353fddbf16 · outbound

This paper cites Local solubility of a family of ternary conics over a biprojective base I.

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny Local solubility of a family of ternary conics over a biprojective base I

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-08T04:45:42.410438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

Observation c68e1e8d-c62c-4939-afe8-6c81fd5641a1 · inbound

Counting odd genus $2$ curves with a marked rational $3$-torsion point cites this paper.

Counting odd genus $2$ curves with a marked rational $3$-torsion point The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-13T02:41:32.458647Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.