Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T05:32:04.004879Z
Paper Citation Record · LEDGER
On the torsion values for sections of an elliptic scheme
As of 16 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:58:50.816533Z
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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.