Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:01:00.313201Z
Paper Citation Record · LEDGER
A short proof of Greenberg's Theorem
As of 16 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:1908.06675.
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
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
22 of 22 outbound references displayed
- verified exact1
- verified fuzzy14
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 51556aa5-08b1-494c-b3f6-71d5db0b4593 · outbound
This paper cites Allcock, Hyperbolic surfaces with prescribed infinit e symmetry groups, Proc.
A short proof of Greenberg's Theorem Allcock, Hyperbolic surfaces with prescribed infinit e symmetry groups, Proc
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:01.003608Z
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 7f97b80c-9424-4576-b046-9013b90b1f67 · outbound
This paper cites an unresolved cited work.
A short proof of Greenberg's Theorem Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:01:00.979185Z
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 f6c68f2a-eef7-45ce-8e6e-ea542a566de4 · outbound
This paper cites an unresolved cited work.
A short proof of Greenberg's Theorem Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:01:00.958096Z
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 1de228f2-002c-4c0a-be7a-5f1fa89ad155 · outbound
This paper cites Garion, On Beauville structures for PSL2(q), J.
A short proof of Greenberg's Theorem Garion, On Beauville structures for PSL2(q), J
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:00.933762Z
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 8adf61db-1161-4ebe-874c-83e76d913c19 · outbound
This paper cites Girondo, D.
A short proof of Greenberg's Theorem Girondo, D
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:00.903392Z
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 1e8c5c16-a739-4a5e-bd97-c9ee782652bc · outbound
This paper cites Greenberg, Conformal transformations of Riemann sur faces, Amer.
A short proof of Greenberg's Theorem Greenberg, Conformal transformations of Riemann sur faces, Amer
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:00.858345Z
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 703bef0c-1b57-4d15-9901-247f337e724a · outbound
This paper cites Greenberg, Discrete groups of motions, Canad.
A short proof of Greenberg's Theorem Greenberg, Discrete groups of motions, Canad
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:00.827101Z
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 f1f8809b-02cc-46f1-a99c-bbe6aacb95e9 · outbound
This paper cites Greenberg, Maximal Fuchsian groups, Bull.
A short proof of Greenberg's Theorem Greenberg, Maximal Fuchsian groups, Bull
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:00.800349Z
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 85071cf3-147a-4cda-8317-4da9949d2611 · outbound
This paper cites Greenberg, Maximal groups and signatures, in Discontinuous Groups and Riemann Surfaces, Proc.
A short proof of Greenberg's Theorem Greenberg, Maximal groups and signatures, in Discontinuous Groups and Riemann Surfaces, Proc
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:00.767460Z
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 de68ed9f-9dff-4b25-8c0a-fd1019ede0ac · outbound
This paper cites Grothendieck, Esquisse d’un Programme (1984), in Geometric Galois Actions 1 , ed.
A short proof of Greenberg's Theorem Grothendieck, Esquisse d’un Programme (1984), in Geometric Galois Actions 1 , ed
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:00.736966Z
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 a6e871c0-292a-4a83-9ee0-52d70dd3571a · outbound
This paper cites Hidalgo, Automorphism groups of dessins d’enfants, Arch.
A short proof of Greenberg's Theorem Hidalgo, Automorphism groups of dessins d’enfants, Arch
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:00.704680Z
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 8a903787-fa90-4900-a4ed-6d53b6503702 · outbound
This paper cites Realisation of groups as automorphism groups in categories.
A short proof of Greenberg's Theorem Realisation of groups as automorphism groups in categories
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T13:01:00.381224Z
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 9c1d3252-b61e-4a81-a8e5-f41f518040b5 · outbound
This paper cites an unresolved cited work.
A short proof of Greenberg's Theorem Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:01:00.671010Z
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 d78b7dd7-6f50-4528-ae77-e546ea3051f6 · outbound
This paper cites an unresolved cited work.
A short proof of Greenberg's Theorem Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:01:00.644462Z
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 03243dfb-f281-4578-bdb0-fa16195ff874 · outbound
This paper cites an unresolved cited work.
A short proof of Greenberg's Theorem Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:01:00.617011Z
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 b8c0b333-ff23-49cd-a434-8351a4a4f64a · outbound
This paper cites an unresolved cited work.
A short proof of Greenberg's Theorem Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:01:00.597629Z
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 fbdad6f2-eed7-45a9-9230-f69b53534b1d · outbound
This paper cites an unresolved cited work.
A short proof of Greenberg's Theorem Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:01:00.562258Z
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 a6647930-1870-4dab-b10c-386373339fc6 · outbound
This paper cites Margulis, Discrete Subgroups of Semisimple Lie Groups , Springer-V erlag, Berlin, 1991.
A short proof of Greenberg's Theorem Margulis, Discrete Subgroups of Semisimple Lie Groups , Springer-V erlag, Berlin, 1991
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:00.539458Z
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 89031e78-d6ab-4de3-acd8-4bbc0931d2ca · outbound
This paper cites Serre, Topics in Galois Theory, Jones and Bartlett, Boston Mass., 1992.
A short proof of Greenberg's Theorem Serre, Topics in Galois Theory, Jones and Bartlett, Boston Mass., 1992
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:00.506225Z
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 9d8063bf-0b26-4d9e-9ff3-2a3899f60684 · outbound
This paper cites Singerman, Finitely maximal Fuchsian groups, J.
A short proof of Greenberg's Theorem Singerman, Finitely maximal Fuchsian groups, J
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:00.475640Z
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 509d2339-6855-43d7-b982-66af000188d8 · outbound
This paper cites Singerman and R.
A short proof of Greenberg's Theorem Singerman and R
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:00.446790Z
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 17627450-05b4-4726-a11f-79562a69e126 · outbound
This paper cites Takeuchi, Arithmetic triangle groups, J.
A short proof of Greenberg's Theorem Takeuchi, Arithmetic triangle groups, J
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:01:00.417017Z
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
No inbound Pith citation observations are available.