Paper Citation Record · LEDGER

On the torsion values for sections of an elliptic scheme

As of 21 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:1909.01253.

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

pith.paper-citation-record.v1
1909.01253 v2

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:32:04.004879Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:58:50.816533Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T14:58:50.853594Z

Reference resolution

27 of 27 outbound references displayed

verified exact3
verified fuzzy23
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 25728dcd-ac4f-428d-ac22-d9efcf4de430 · outbound

This paper cites The Betti map associated to a section of an abelian scheme (with an appendix by Z. Gao).

On the torsion values for sections of an elliptic scheme The Betti map associated to a section of an abelian scheme (with an appendix by Z. Gao)

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-14T05:32:03.900585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc080d3d-41a4-44f3-bed1-6ed43a5a2502 · outbound

This paper cites Bombieri and A.J.

On the torsion values for sections of an elliptic scheme Bombieri and A.J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:32:04.355711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 58a725f7-bb33-4a50-aade-3b71037d7638 · outbound

This paper cites Barroero, M.

On the torsion values for sections of an elliptic scheme Barroero, M

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:32:04.344585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fa43a7b1-23a4-4c15-b776-37fb86a5b729 · outbound

This paper cites Beauville, Complex Algebraic Surfaces , London Mathematical Society student texts, Cambridge University Press, 1996.

On the torsion values for sections of an elliptic scheme Beauville, Complex Algebraic Surfaces , London Mathematical Society student texts, Cambridge University Press, 1996

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:32:04.332849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d353b720-4df0-47a4-a36b-d9ecbfd3662b · outbound

This paper cites Bierstone, Milman, Semianalytic and subanalytic sets, Publ.

On the torsion values for sections of an elliptic scheme Bierstone, Milman, Semianalytic and subanalytic sets, Publ

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:32:04.321696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 89fbf89c-bb7c-4281-84bc-c128a5a42004 · outbound

This paper cites Van den Dries, Tame Topology and O-minimal Structures, 150 184.

On the torsion values for sections of an elliptic scheme Van den Dries, Tame Topology and O-minimal Structures, 150 184

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:32:04.310367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7e45a1ad-5814-4c0d-bd7b-2d1723032c66 · outbound

This paper cites Corvaja, D.

On the torsion values for sections of an elliptic scheme Corvaja, D

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:32:04.298334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fb2866fc-1d21-4bd7-9f8c-2782a3311a0a · outbound

This paper cites Corvaja and U.

On the torsion values for sections of an elliptic scheme Corvaja and U

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:32:04.287307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 18e3dabe-f1d5-4cfc-bb70-1cd86cbe99a6 · outbound

This paper cites De Marco, N.

On the torsion values for sections of an elliptic scheme De Marco, N

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:32:04.275692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5ba3f089-3ef8-49de-98ba-5f5e055b9775 · outbound

This paper cites Pfaffian definitions of Weierstrass elliptic functions.

On the torsion values for sections of an elliptic scheme Pfaffian definitions of Weierstrass elliptic functions

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:32:04.073865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3444f8cb-b3d3-4902-a969-8c6617357f91 · outbound

This paper cites On the $p$-adic distribution of torsion values for a section of an abelian scheme.

On the torsion values for sections of an elliptic scheme On the $p$-adic distribution of torsion values for a section of an abelian scheme

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:32:04.058130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 405f1e42-277e-485f-9866-d07086ceed9c · outbound

This paper cites Manin, Rational Points of Algebraic Curves over Function Fie lds, Izv.

On the torsion values for sections of an elliptic scheme Manin, Rational Points of Algebraic Curves over Function Fie lds, Izv

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:32:04.264253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 554eafc3-7cc1-42ec-8e6b-1b05230917d7 · outbound

This paper cites Mason, Diophantine equations over function ﬁelds, London Math.

On the torsion values for sections of an elliptic scheme Mason, Diophantine equations over function ﬁelds, London Math

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:32:04.253119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 54f5240e-cebf-4254-9359-e485d64d921d · outbound

This paper cites diophantine approximatio n.

On the torsion values for sections of an elliptic scheme diophantine approximatio n

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:32:04.242340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d72d5631-0581-41aa-8672-864041bb5286 · outbound

This paper cites Osgood, Sometimes eﬀective Thue-Siegel-Roth-Schmidt-N evanlinna bounds, or better, J.

On the torsion values for sections of an elliptic scheme Osgood, Sometimes eﬀective Thue-Siegel-Roth-Schmidt-N evanlinna bounds, or better, J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:32:04.231440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fa6c277e-189b-400f-92b8-23b2076cd30a · outbound

This paper cites Schmidt, On Osgood’s eﬀective Thue Theorem for algebraic f unc- tions, Comm.

On the torsion values for sections of an elliptic scheme Schmidt, On Osgood’s eﬀective Thue Theorem for algebraic f unc- tions, Comm

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:32:04.220142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cc486de4-eb3d-4cea-9c60-d27a4f161238 · outbound

This paper cites Serre, Lectures on the Mordell-Weil Theorem, Aspects of Mathematics, Vieweg+Teubner Verlag, 2013.

On the torsion values for sections of an elliptic scheme Serre, Lectures on the Mordell-Weil Theorem, Aspects of Mathematics, Vieweg+Teubner Verlag, 2013

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:32:04.208369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c7b26fc0-e8dd-451d-a0da-c9e80671dc5d · outbound

This paper cites Silverman, The Arithmetic of Elliptic Curves , Graduate Text in Math- ematics, Springer Verlag 1986.

On the torsion values for sections of an elliptic scheme Silverman, The Arithmetic of Elliptic Curves , Graduate Text in Math- ematics, Springer Verlag 1986

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:32:04.196563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation beef87ae-004a-47b0-bce9-80c2e48c7fe2 · outbound

This paper cites Silverman, Advanced topics in the arithmetic of elliptic curves , Grad- uate texts in mathematics, Springer Verlag, 1994.

On the torsion values for sections of an elliptic scheme Silverman, Advanced topics in the arithmetic of elliptic curves , Grad- uate texts in mathematics, Springer Verlag, 1994

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:32:04.184850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 50bd8406-f5aa-4d21-9741-919ec058c21e · outbound

This paper cites Shioda and M.

On the torsion values for sections of an elliptic scheme Shioda and M

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:32:04.172908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 54c8f8d7-8632-4909-8b24-7037ff038649 · outbound

This paper cites Tate, Variation of the canonical height of a point depending o n a param- eter, American Journal of Mathematics , 105(1):287–294, 1983.

On the torsion values for sections of an elliptic scheme Tate, Variation of the canonical height of a point depending o n a param- eter, American Journal of Mathematics , 105(1):287–294, 1983

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:32:04.160617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1b6b8f55-6463-43d5-9a07-50644e58bf0c · outbound

This paper cites Transversality of sections on elliptic surfaces with applications to elliptic divisibility sequences and geography of surfaces.

On the torsion values for sections of an elliptic scheme Transversality of sections on elliptic surfaces with applications to elliptic divisibility sequences and geography of surfaces

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:32:04.042415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d7be74bd-f17e-41a8-b170-dbea52a957c7 · outbound

This paper cites Voloch, Siegel’s Theorem for complex function ﬁelds, Proc.

On the torsion values for sections of an elliptic scheme Voloch, Siegel’s Theorem for complex function ﬁelds, Proc

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:32:04.148081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3ee417ed-d76c-4010-bf83-2e4ca1aae1bd · outbound

This paper cites Wang, An eﬀective Roth’s theorem for function ﬁelds , Rocky Mountain J.

On the torsion values for sections of an elliptic scheme Wang, An eﬀective Roth’s theorem for function ﬁelds , Rocky Mountain J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:32:04.136115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 86c7acea-be22-4bc3-85ec-e3104dd12128 · outbound

This paper cites Zannier, Some Problems of Unlikely Intersections in Arithmetic and Geometry, Annals of Math.

On the torsion values for sections of an elliptic scheme Zannier, Some Problems of Unlikely Intersections in Arithmetic and Geometry, Annals of Math

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:32:04.123387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9461d403-77ad-411c-9246-8583a85c8915 · outbound

This paper cites Zannier, Lecture Notes on Diophantine Analysis, with an appendix by F.

On the torsion values for sections of an elliptic scheme Zannier, Lecture Notes on Diophantine Analysis, with an appendix by F

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:32:04.110658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4fea0a52-22fa-4c4c-8558-93443fa5fa65 · outbound

This paper cites Zimmer, Die N´ eron-Tate’schen quadratischen Formen auf der ratio- nalen Punktgruppe einer elliptischen Kurve, J.

On the torsion values for sections of an elliptic scheme Zimmer, Die N´ eron-Tate’schen quadratischen Formen auf der ratio- nalen Punktgruppe einer elliptischen Kurve, J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:32:04.098651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 2a635bbb-f556-48cd-9384-d7daa14850e8 · inbound

Transversality of sections on elliptic surfaces with applications to elliptic divisibility sequences and geography of surfaces cites this paper.

Transversality of sections on elliptic surfaces with applications to elliptic divisibility sequences and geography of surfaces On the torsion values for sections of an elliptic scheme

Reference 2019

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:58:50.861007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.