Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T23:26:02.068409Z
Paper Citation Record · LEDGER
Defining newforms in characteristic $p$
As of 13 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2412.20606.
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 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
11 of 11 outbound references displayed
- verified exact1
- verified fuzzy8
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch2
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 34e646eb-ffaf-48cd-b920-81ca2d6a5965 · outbound
This paper cites Hecke operators on Γ 0(m).
Defining newforms in characteristic $p$ Hecke operators on Γ 0(m)
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:26:02.252103Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 46c4cb1d-a6c5-4287-af3f-489a183337b1 · outbound
This paper cites Formes modulaires et fonction s zêta p-adiques.
Defining newforms in characteristic $p$ Formes modulaires et fonction s zêta p-adiques
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:26:02.184820Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7d107266-f4d5-44c8-b0f7-c94a49c4ab79 · outbound
This paper cites Ring-theoretic pr operties of certain Hecke algebras.
Defining newforms in characteristic $p$ Ring-theoretic pr operties of certain Hecke algebras
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:26:02.170535Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b93c0de1-116f-40c7-9d91-4bba0cf28d2a · outbound
This paper cites On the modularity of elli ptic curves over Q: wild 3- adic exercises.
Defining newforms in characteristic $p$ On the modularity of elli ptic curves over Q: wild 3- adic exercises
Reference 1969
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:26:02.239661Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b41dc22d-59e5-4239-b01b-75b89c298b05 · outbound
This paper cites Newforms and functional equa tions.
Defining newforms in characteristic $p$ Newforms and functional equa tions
Reference 1976
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:26:02.198516Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5bb072bb-a494-4bf4-ba8b-36aac876920e · outbound
This paper cites Modular elliptic curves and Fermat’ s last theorem.
Defining newforms in characteristic $p$ Modular elliptic curves and Fermat’ s last theorem
Reference 1977
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:26:02.157907Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5bff2ead-a610-4834-b92c-397333a4a600 · outbound
This paper cites On a Result of Atkin and Lehner.
Defining newforms in characteristic $p$ On a Result of Atkin and Lehner
Reference 1999
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-10T23:26:02.142083Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 678e0a78-1f85-4dcd-b302-1f283d5aab62 · outbound
This paper cites Congruences between systems of eigenvalues of modular forms.
Defining newforms in characteristic $p$ Congruences between systems of eigenvalues of modular forms
Reference 2002
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:26:02.211360Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 0d3a9a98-7c4a-429f-baa7-9b499cb28980 · outbound
This paper cites A Hecke algebra attached to mod 2 modular forms of level 3.
Defining newforms in characteristic $p$ A Hecke algebra attached to mod 2 modular forms of level 3
Reference 2015
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T23:26:02.126345Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 62e1cb94-c4ec-4dd5-a890-d1cad06c776a · outbound
This paper cites A Hecke algebra attached to mod 2 modular forms of level 5.
Defining newforms in characteristic $p$ A Hecke algebra attached to mod 2 modular forms of level 5
Reference 2016
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-10T23:26:02.108434Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a027ea8d-27b7-4a03-98a8-de12125d4614 · outbound
This paper cites La conjecture de Weil. I.
Defining newforms in characteristic $p$ La conjecture de Weil. I
Reference 2017
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:26:02.225342Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Pith citing papers
No inbound Pith citation observations are available.