Paper Citation Record · LEDGER

Independence of CM points in Elliptic Curves

As of 20 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:1907.02737.

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

pith.paper-citation-record.v1
1907.02737 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-25T02:13:40.982977Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

35 of 35 outbound references displayed

verified exact6
verified fuzzy28
unresolved1
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 49ddce92-c2b8-4a15-a26f-b3ad54e2e01c · outbound

This paper cites Baldi, On a conjecture of Buium and Poonen, arXiv:1803 .04946.

Independence of CM points in Elliptic Curves Baldi, On a conjecture of Buium and Poonen, arXiv:1803 .04946

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.139862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d1824ec9-5db8-4748-a018-9ae1ab56aebc · outbound

This paper cites CM relations in fibered powers of elliptic families.

Independence of CM points in Elliptic Curves CM relations in fibered powers of elliptic families

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-05-25T02:15:14.257337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7834042d-e27e-411a-afe5-54998cf8f3be · outbound

This paper cites Bombieri, D.

Independence of CM points in Elliptic Curves Bombieri, D

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.142984Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bc9201d1-979e-4419-a288-5a1d397daa51 · outbound

This paper cites Bruin, Bornes optimales pour la diﬀ´ erence entre la ha uteur de Weil et la hauteur de N´ eron-Tate sur les courbes elliptiques sur Q, Acta Arith.

Independence of CM points in Elliptic Curves Bruin, Bornes optimales pour la diﬀ´ erence entre la ha uteur de Weil et la hauteur de N´ eron-Tate sur les courbes elliptiques sur Q, Acta Arith

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.122790Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 45ded3bb-f951-4373-a4e4-7091f39f80ad · outbound

This paper cites Buium and B.

Independence of CM points in Elliptic Curves Buium and B

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.125935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a362d233-cd44-47fb-b780-46401d968432 · outbound

This paper cites Buium and B.

Independence of CM points in Elliptic Curves Buium and B

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.135902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c5696705-5140-467c-aa2f-da44e60a508a · outbound

This paper cites Daw and J.

Independence of CM points in Elliptic Curves Daw and J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.119955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 66c2578d-ffe6-4886-96b0-6f555cec05e9 · outbound

This paper cites Unlikely intersections between isogeny orbits and curves.

Independence of CM points in Elliptic Curves Unlikely intersections between isogeny orbits and curves

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-25T02:15:14.247857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6a69d824-9a08-4ed6-8044-74e947b78e30 · outbound

This paper cites Unlikely intersections with isogeny orbits in a product of elliptic schemes.

Independence of CM points in Elliptic Curves Unlikely intersections with isogeny orbits in a product of elliptic schemes

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-25T02:15:14.242610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 18a0e245-0d0c-48d5-9771-4a1d9c45b787 · outbound

This paper cites Mixed Ax-Schanuel for the universal abelian varieties and some applications.

Independence of CM points in Elliptic Curves Mixed Ax-Schanuel for the universal abelian varieties and some applications

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-05-25T02:15:14.252523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5b7c6c10-eaec-4979-88ac-84ca2272efda · outbound

This paper cites Habegger, Singular moduli that are algebraic units, Algebra and Number Theory 9 (2015), 1515–1524.

Independence of CM points in Elliptic Curves Habegger, Singular moduli that are algebraic units, Algebra and Number Theory 9 (2015), 1515–1524

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.132433Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation dd6b9a56-d89c-4f63-95f1-e8e71212f02e · outbound

This paper cites Habegger and J.

Independence of CM points in Elliptic Curves Habegger and J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.128901Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 02e29ee9-274e-4025-80f7-a33e9e419fed · outbound

This paper cites Habegger and J.

Independence of CM points in Elliptic Curves Habegger and J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.063837Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation dd438746-1ca8-493e-ac2b-fbd44b3072fd · outbound

This paper cites Khare and C.

Independence of CM points in Elliptic Curves Khare and C

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.053346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 214db187-6984-4e96-85b1-86cfe39c0e7e · outbound

This paper cites Intersections of Class Fields.

Independence of CM points in Elliptic Curves Intersections of Class Fields

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-05-25T02:15:14.237456Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bc9c86f5-e66e-4117-8209-0a602bf70a38 · outbound

This paper cites Masser, Linear relation on algebraic groups, New advances in transcendence theory, Baker (ed.), 248–262, CUP.

Independence of CM points in Elliptic Curves Masser, Linear relation on algebraic groups, New advances in transcendence theory, Baker (ed.), 248–262, CUP

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.056712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d7dbad07-e2df-44dd-a897-d8faf2f3839e · outbound

This paper cites Masser, Specializations of ﬁnitely generated subgr oups of Abelian varieties, Trans- actions of the AMS , Vol 311, Number 1 (1989), 413–424.

Independence of CM points in Elliptic Curves Masser, Specializations of ﬁnitely generated subgr oups of Abelian varieties, Trans- actions of the AMS , Vol 311, Number 1 (1989), 413–424

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.050067Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ae0ea5b8-ca39-41fa-ad0a-e828c0d8ada6 · outbound

This paper cites Masser, G.W¨ ustholz, Some eﬀective estimates for el liptic curves, Arithmetic of Complex Manifolds , Lecture notes in mathematics, Vol 1399, Springer, Berlin, Hei- delberg.

Independence of CM points in Elliptic Curves Masser, G.W¨ ustholz, Some eﬀective estimates for el liptic curves, Arithmetic of Complex Manifolds , Lecture notes in mathematics, Vol 1399, Springer, Berlin, Hei- delberg

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.060166Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 76ca73c9-a77c-4f18-b8d7-ddcf469bd0d3 · outbound

This paper cites Ax-Schanuel for Shimura varieties.

Independence of CM points in Elliptic Curves Ax-Schanuel for Shimura varieties

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-05-25T02:15:14.262503Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bf3c3cde-8d3d-40a3-9d15-7716ab9ae62c · outbound

This paper cites Nekov´ aˇ r and N.

Independence of CM points in Elliptic Curves Nekov´ aˇ r and N

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.097816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1daeab2c-9901-4807-bf18-7a03dec6734d · outbound

This paper cites Paulin, An explicit Andr´ e-Oort type theorem for P1(C) × Gm(C) based on loga- rithmic forms, Publ.

Independence of CM points in Elliptic Curves Paulin, An explicit Andr´ e-Oort type theorem for P1(C) × Gm(C) based on loga- rithmic forms, Publ

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.091127Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a0f81044-f0c3-4ba3-960a-ce01d9128000 · outbound

This paper cites Pazuki, Hauteur Thˆ eta et hauteur de Faltings, Bull.

Independence of CM points in Elliptic Curves Pazuki, Hauteur Thˆ eta et hauteur de Faltings, Bull

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.101451Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1a94ed93-d504-4fc8-8507-2dcd0864a97c · outbound

This paper cites Peterzil and S.

Independence of CM points in Elliptic Curves Peterzil and S

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.084616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 52465fe8-6a78-47ce-aa2d-db9eaf0c076b · outbound

This paper cites Pila, O-minimality and the Andr´ e-Oort conjecture f or Cn, Annals Math.

Independence of CM points in Elliptic Curves Pila, O-minimality and the Andr´ e-Oort conjecture f or Cn, Annals Math

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.087828Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation dec56d37-10c0-4105-a297-d1a9300a6e1a · outbound

This paper cites Pila and J.

Independence of CM points in Elliptic Curves Pila and J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.094460Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3ec25ab5-b5e8-4f49-b16b-e35450cc4f04 · outbound

This paper cites Pila and J.

Independence of CM points in Elliptic Curves Pila and J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.107950Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ea84e3d3-797a-43bb-a93c-47bacde69432 · outbound

This paper cites Pila and A.

Independence of CM points in Elliptic Curves Pila and A

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.104468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fbda1e24-8ffa-44c9-b361-5e4c561544c0 · outbound

This paper cites an unresolved cited work.

Independence of CM points in Elliptic Curves Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-05-25T02:16:34.117518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f4b07f99-fe54-468f-b287-94036f63a7b9 · outbound

This paper cites Pink, A common generalization of the conjectures of A ndr´ e-Oort, Manin- Mumford, and Mordell-Lang, manuscript dated 17 April 2005 a vailable from http://www.math.ethz.ch/∼pink/.

Independence of CM points in Elliptic Curves Pink, A common generalization of the conjectures of A ndr´ e-Oort, Manin- Mumford, and Mordell-Lang, manuscript dated 17 April 2005 a vailable from http://www.math.ethz.ch/∼pink/

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.114742Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 690d62a6-302c-4de8-b612-2ba1d883665a · outbound

This paper cites Poizat, L’egalit´ e au cube, J.

Independence of CM points in Elliptic Curves Poizat, L’egalit´ e au cube, J

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.111576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b0e9e9e7-4a20-4a79-b875-de2dfa296c12 · outbound

This paper cites Rosen and J.

Independence of CM points in Elliptic Curves Rosen and J

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.070672Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 754ae934-d766-4811-8b2c-7db876030a86 · outbound

This paper cites S ¸ahino˘ glu, On the independence of Heegner points o n CM curves associated to distinct quadratic imaginary ﬁelds, Proc.

Independence of CM points in Elliptic Curves S ¸ahino˘ glu, On the independence of Heegner points o n CM curves associated to distinct quadratic imaginary ﬁelds, Proc

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.074282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 77e28721-58ce-409a-a0aa-d02f71f5dd5e · outbound

This paper cites Tsimerman, The Andr´ e-Oort conjecture forAg, Annals Math.

Independence of CM points in Elliptic Curves Tsimerman, The Andr´ e-Oort conjecture forAg, Annals Math

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.067556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 851a42b5-9890-4079-a697-6c06a42d9f15 · outbound

This paper cites Zhang, Equidistribution of CM points in Shimura Vari eites, Int.Math.Res.Not.

Independence of CM points in Elliptic Curves Zhang, Equidistribution of CM points in Shimura Vari eites, Int.Math.Res.Not

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.078020Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2bdd4b90-6f9e-40ad-9856-7bd940144391 · outbound

This paper cites Zilber, Exponential sums equations and the Schanuel conjecture, J.

Independence of CM points in Elliptic Curves Zilber, Exponential sums equations and the Schanuel conjecture, J

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T02:16:34.081480Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

No inbound Pith citation observations are available.