Paper Citation Record · LEDGER

Torsion of Rational Elliptic Curves over the $\mathbb{Z}_p$-Extensions of Quadratic Fields

As of 19 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2505.04149.

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

pith.paper-citation-record.v1
2505.04149 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:47:20.053164Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:22:40.465482Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T19:22:41.203388Z

Reference resolution

13 of 13 outbound references displayed

verified exact0
verified fuzzy12
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 71754230-e48f-4be5-b745-ee5a15db7e41 · outbound

This paper cites A vci, Torsion of rational elliptic curves over the cyclotomic ext ensions of Q, submitted.

Torsion of Rational Elliptic Curves over the $\mathbb{Z}_p$-Extensions of Quadratic Fields A vci, Torsion of rational elliptic curves over the cyclotomic ext ensions of Q, submitted

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:47:20.254744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 20dca2d4-f3ca-45e0-b2da-9ac64e9cbfee · outbound

This paper cites Bosma, J.

Torsion of Rational Elliptic Curves over the $\mathbb{Z}_p$-Extensions of Quadratic Fields Bosma, J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:47:20.240822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fee25b80-ce15-4abb-85d1-d65834f8f742 · outbound

This paper cites Brink, Prime decomposition on the anti-cyclotomic extension , Math.

Torsion of Rational Elliptic Curves over the $\mathbb{Z}_p$-Extensions of Quadratic Fields Brink, Prime decomposition on the anti-cyclotomic extension , Math

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:47:20.226952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ae4a8b8a-f9f5-4c59-8510-c17078bc3953 · outbound

This paper cites Chou, H.B.

Torsion of Rational Elliptic Curves over the $\mathbb{Z}_p$-Extensions of Quadratic Fields Chou, H.B

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:47:20.214015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 555c2858-a250-457e-bc7e-a7a9cdd97051 · outbound

This paper cites Chou, Torsion of rational elliptic curves over the maximal abelia n extension of Q, Paciﬁc J.

Torsion of Rational Elliptic Curves over the $\mathbb{Z}_p$-Extensions of Quadratic Fields Chou, Torsion of rational elliptic curves over the maximal abelia n extension of Q, Paciﬁc J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:47:20.201495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4eacdaeb-e7c7-410b-a167-806570b28c09 · outbound

This paper cites Guˇ zvi´ c,Torsion groups of elliptic curves over Q(µ p∞ ), J.

Torsion of Rational Elliptic Curves over the $\mathbb{Z}_p$-Extensions of Quadratic Fields Guˇ zvi´ c,Torsion groups of elliptic curves over Q(µ p∞ ), J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:47:20.189808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 04cdbf48-5d9f-47cd-90fe-f16374dce976 · outbound

This paper cites Guˇ zvi´ c, I.

Torsion of Rational Elliptic Curves over the $\mathbb{Z}_p$-Extensions of Quadratic Fields Guˇ zvi´ c, I

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:47:20.176980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation dbe414ea-7bae-49cb-9acc-6f33232a4cc7 · outbound

This paper cites Guˇ zvi´ c, B.

Torsion of Rational Elliptic Curves over the $\mathbb{Z}_p$-Extensions of Quadratic Fields Guˇ zvi´ c, B

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:47:20.164357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5e712d83-0963-4f2d-add6-8c3969412f9f · outbound

This paper cites Iwasawa, On Zℓ-extensions of algebraic number ﬁelds , Ann.

Torsion of Rational Elliptic Curves over the $\mathbb{Z}_p$-Extensions of Quadratic Fields Iwasawa, On Zℓ-extensions of algebraic number ﬁelds , Ann

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:47:20.151687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4e921a86-7f7e-4d6f-a22c-8bb3c6610f73 · outbound

This paper cites an unresolved cited work.

Torsion of Rational Elliptic Curves over the $\mathbb{Z}_p$-Extensions of Quadratic Fields Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-15T23:47:20.138948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fed0172a-3625-4c16-b989-70e56c337179 · outbound

This paper cites Lozano-Robledo, On the ﬁeld of deﬁnition of p-torsion points on elliptic curves over the rationals , Mathema- tische Annalen, Vol 357, Issue 1 (2013), 279-305.

Torsion of Rational Elliptic Curves over the $\mathbb{Z}_p$-Extensions of Quadratic Fields Lozano-Robledo, On the ﬁeld of deﬁnition of p-torsion points on elliptic curves over the rationals , Mathema- tische Annalen, Vol 357, Issue 1 (2013), 279-305

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:47:20.126103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1d477a82-5355-4d85-9379-2005022470b1 · outbound

This paper cites Mazur, Rational isogenies of prime degree , Inventiones Math.

Torsion of Rational Elliptic Curves over the $\mathbb{Z}_p$-Extensions of Quadratic Fields Mazur, Rational isogenies of prime degree , Inventiones Math

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:47:20.105702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 583b4a7a-9aa3-4f59-afe8-94685dacdad4 · outbound

This paper cites Najman, Torsion of rational elliptic curves over cubic ﬁelds and spo radic points on X1(n), Math.

Torsion of Rational Elliptic Curves over the $\mathbb{Z}_p$-Extensions of Quadratic Fields Najman, Torsion of rational elliptic curves over cubic ﬁelds and spo radic points on X1(n), Math

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:47:20.090517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation 8066079f-9051-4e45-a970-55bd1dcc75f8 · inbound

Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits cites this paper.

Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Torsion of Rational Elliptic Curves over the $\mathbb{Z}_p$-Extensions of Quadratic Fields

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:22:41.214041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.