Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:56:34.795876Z
Paper Citation Record · LEDGER
The rational cuspidal divisor class group of $X_0(N)$
As of 16 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:1908.06411.
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 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-11T12:33:51.715379Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-11T12:33:51.749752Z
Reference resolution
35 of 35 outbound references displayed
- verified exact1
- verified fuzzy20
- unresolved14
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation bdda71e8-36bd-4a80-97e0-a6c9a547c345 · outbound
This paper cites Quadratic points on modular curves with infinite Mordell--Weil group.
The rational cuspidal divisor class group of $X_0(N)$ Quadratic points on modular curves with infinite Mordell--Weil group
Reference 1
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T12:56:34.841313Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8bdfcea1-631b-4d4e-96e4-11bf7bf191d5 · outbound
This paper cites an unresolved cited work.
The rational cuspidal divisor class group of $X_0(N)$ Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:56:35.311372Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation fa0fd56c-f24d-4148-b043-fb9583d0cc18 · outbound
This paper cites 228, Springer (2005).
The rational cuspidal divisor class group of $X_0(N)$ 228, Springer (2005)
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:56:35.297393Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 76bbfd80-fdae-4101-b9d6-67b83ec02c85 · outbound
This paper cites Appl., 7 (1973), 155–156.
The rational cuspidal divisor class group of $X_0(N)$ Appl., 7 (1973), 155–156
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:56:35.283758Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 92edc55e-0ac7-4d9b-80bb-ef1c43cbf5c2 · outbound
This paper cites an unresolved cited work.
The rational cuspidal divisor class group of $X_0(N)$ Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:56:35.339755Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation eba37571-4de9-4a46-b2db-24b699653ea9 · outbound
This paper cites More precisely, we pr ove the following, which is a combination of Theorems 1.5 and 1.6.
The rational cuspidal divisor class group of $X_0(N)$ More precisely, we pr ove the following, which is a combination of Theorems 1.5 and 1.6
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:56:35.326240Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0be4010f-2b16-45db-a09f-17d32ebdb2d5 · outbound
This paper cites an unresolved cited work.
The rational cuspidal divisor class group of $X_0(N)$ Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:56:35.269854Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b436f32b-7060-41a6-bd16-797defc54dbb · outbound
This paper cites Kubert and Serge Lang, Modular units, Grundlehren der mathematischen Wissenschaften, Vol.
The rational cuspidal divisor class group of $X_0(N)$ Kubert and Serge Lang, Modular units, Grundlehren der mathematischen Wissenschaften, Vol
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:56:35.255381Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b94ba761-fdd6-4b12-b794-9e3a270d8589 · outbound
This paper cites an unresolved cited work.
The rational cuspidal divisor class group of $X_0(N)$ Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:56:35.240173Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 84204b30-f34b-4689-ba65-4a4db66f608d · outbound
This paper cites an unresolved cited work.
The rational cuspidal divisor class group of $X_0(N)$ Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:56:35.225924Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7e722a96-c05f-4a49-840c-33217dc707ae · outbound
This paper cites Lorenzini, Torsion points on the modular Jacobian J0(N ), Compos.
The rational cuspidal divisor class group of $X_0(N)$ Lorenzini, Torsion points on the modular Jacobian J0(N ), Compos
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:56:35.212411Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 612bac8a-f3d5-4934-ac67-ca58d1a8e756 · outbound
This paper cites Manin, Parabolic points and zeta functions of modular curves (in Ru ssian), Izv.
The rational cuspidal divisor class group of $X_0(N)$ Manin, Parabolic points and zeta functions of modular curves (in Ru ssian), Izv
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:56:35.198483Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation cc62dd93-1679-4c23-a1c1-741257587cd0 · outbound
This paper cites an unresolved cited work.
The rational cuspidal divisor class group of $X_0(N)$ Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:56:35.183714Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 099b619e-911b-49aa-8c75-24f297d35553 · outbound
This paper cites 196-197 (1991), 215–255.
The rational cuspidal divisor class group of $X_0(N)$ 196-197 (1991), 215–255
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:56:35.169693Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d8485530-f79f-4f2f-a852-decb57055220 · outbound
This paper cites an unresolved cited work.
The rational cuspidal divisor class group of $X_0(N)$ Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:56:35.155917Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3235b4da-058a-4813-941a-bce0d171f9f2 · outbound
This paper cites an unresolved cited work.
The rational cuspidal divisor class group of $X_0(N)$ Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:56:35.141790Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c65872e7-06d1-45d4-bdf6-2f3ea260cee4 · outbound
This paper cites Ogg, Rational points on certain elliptic modular curves , Proc.
The rational cuspidal divisor class group of $X_0(N)$ Ogg, Rational points on certain elliptic modular curves , Proc
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:56:35.128536Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b32ced96-7adb-4232-8a42-efde6cfab96e · outbound
This paper cites Ogg, Hyperelliptic modular curves , Bull.
The rational cuspidal divisor class group of $X_0(N)$ Ogg, Hyperelliptic modular curves , Bull
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:56:35.113900Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a02e9121-6a69-48db-a446-4ed0a08b8894 · outbound
This paper cites Math., Vol.
The rational cuspidal divisor class group of $X_0(N)$ Math., Vol
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:56:35.099111Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d650644e-294c-4534-a929-487089753943 · outbound
This paper cites Olson, Galois cohomology of cycles and applications to elliptic cu rves, Amer.
The rational cuspidal divisor class group of $X_0(N)$ Olson, Galois cohomology of cycles and applications to elliptic cu rves, Amer
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:56:35.083145Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 92bfe47e-6f1e-4408-8b01-d229f83a41e3 · outbound
This paper cites Comp., Vol.
The rational cuspidal divisor class group of $X_0(N)$ Comp., Vol
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:56:35.068432Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a1aae074-8059-4152-9b49-a886cebc0b97 · outbound
This paper cites Number theory, Vol.
The rational cuspidal divisor class group of $X_0(N)$ Number theory, Vol
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:56:35.053961Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 70a4e5c1-9ef9-4911-ac13-f446d8655047 · outbound
This paper cites Number Theory, Vol.
The rational cuspidal divisor class group of $X_0(N)$ Number Theory, Vol
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:56:35.039548Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2ff98d84-0da4-48e6-a474-7435e0918a4b · outbound
This paper cites Webb, On spaces of modular forms spanned by eta-quotients , Advances in Math., 272 (2015), 200–224.
The rational cuspidal divisor class group of $X_0(N)$ Webb, On spaces of modular forms spanned by eta-quotients , Advances in Math., 272 (2015), 200–224
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:56:35.024109Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 537b9411-daa9-4685-82cf-26e3501cbb1f · outbound
This paper cites an unresolved cited work.
The rational cuspidal divisor class group of $X_0(N)$ Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:56:35.009798Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 959cdd97-74f4-4cb4-8c0b-699061963a72 · outbound
This paper cites 20, Birkhaüuser, Boston, Mass.
The rational cuspidal divisor class group of $X_0(N)$ 20, Birkhaüuser, Boston, Mass
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:56:34.994155Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1f85f306-e252-4faf-b7e9-5a774e8709cd · outbound
This paper cites an unresolved cited work.
The rational cuspidal divisor class group of $X_0(N)$ Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:56:34.979853Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ded687c4-3b71-4f48-bf10-92ee7debf426 · outbound
This paper cites Algebra, 193 (1997), 180–213.
The rational cuspidal divisor class group of $X_0(N)$ Algebra, 193 (1997), 180–213
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:56:34.963732Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation da960732-43f4-48e9-b10e-1ffb153eed93 · outbound
This paper cites an unresolved cited work.
The rational cuspidal divisor class group of $X_0(N)$ Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:56:34.948305Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9a34cc20-9037-43ba-94ab-8ba5fe412cc3 · outbound
This paper cites Algebra 562 (2020), 410–432.
The rational cuspidal divisor class group of $X_0(N)$ Algebra 562 (2020), 410–432
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:56:34.933579Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation deaa8a6b-5fd7-412b-8021-d539bbee67c5 · outbound
This paper cites 5(1) (2011), 37–62.
The rational cuspidal divisor class group of $X_0(N)$ 5(1) (2011), 37–62
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:56:34.917525Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 26059c7b-4e20-43d1-b43d-103062cf8c8c · outbound
This paper cites an unresolved cited work.
The rational cuspidal divisor class group of $X_0(N)$ Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:56:34.903032Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 77488ca4-2602-48a5-a2e0-932911b9e1dd · outbound
This paper cites 3472 (2016), 299–304.
The rational cuspidal divisor class group of $X_0(N)$ 3472 (2016), 299–304
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:56:34.887859Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation fc446f01-b0f8-4757-b171-b8722c9595ca · outbound
This paper cites an unresolved cited work.
The rational cuspidal divisor class group of $X_0(N)$ Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:56:34.872694Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b33811c0-438d-41dc-b2ed-c4214d3e866d · outbound
This paper cites an unresolved cited work.
The rational cuspidal divisor class group of $X_0(N)$ Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:56:34.856612Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Pith citing papers
Observation 265a45b2-7198-4c8d-96be-f6b2b6c37eb0 · inbound
Rational torsion of generalised Drinfeld modular Jacobians of prime power level cites this paper.
Rational torsion of generalised Drinfeld modular Jacobians of prime power level The rational cuspidal divisor class group of $X_0(N)$
Reference 26
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T12:33:51.755928Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.