Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:32:54.645436Z
Paper Citation Record · LEDGER
Moduli stacks of \'etale (phi,Gamma)-modules and the existence of crystalline lifts
As of 16 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 2 inbound Pith citation observations for arXiv:1908.07185.
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 2026-08-14T12:37:35.385470Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-14T12:19:25.787576Z
Reference resolution
13 of 13 outbound references displayed
- verified exact4
- verified fuzzy7
- unresolved2
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 010f0575-9dfa-4dd9-83dc-d27f4e2aa52f · outbound
This paper cites Allen, On automorphic points in polarized deformation rings , American Journal of Mathematics 141 (2019), no.
Moduli stacks of \'etale (phi,Gamma)-modules and the existence of crystalline lifts Allen, On automorphic points in polarized deformation rings , American Journal of Mathematics 141 (2019), no
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:32:54.838783Z
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 a812d298-ed77-4f5e-af12-7a34c36c321b · outbound
This paper cites Breuil-Kisin modules and integral $p$-adic Hodge theory.
Moduli stacks of \'etale (phi,Gamma)-modules and the existence of crystalline lifts Breuil-Kisin modules and integral $p$-adic Hodge theory
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T12:32:54.713170Z
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 2b74a80a-f2ed-48e4-a178-20a14b9f14cf · outbound
This paper cites an unresolved cited work.
Moduli stacks of \'etale (phi,Gamma)-modules and the existence of crystalline lifts Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:32:54.767697Z
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 81393fa8-c197-4290-9140-6c3ef56c1055 · outbound
This paper cites Scheme-theoretic images.
Moduli stacks of \'etale (phi,Gamma)-modules and the existence of crystalline lifts Scheme-theoretic images
Reference 49
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:32:54.827955Z
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 627f913d-2c4d-47b3-ac10-229caa00eb85 · outbound
This paper cites Grauert and R.
Moduli stacks of \'etale (phi,Gamma)-modules and the existence of crystalline lifts Grauert and R
Reference 52
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:32:54.789031Z
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 25018945-8f99-4975-8627-7ffa8adc701c · outbound
This paper cites [GHLS17] Toby Gee, Florian Herzig, Tong Liu, and David Savit t, Potentially crystalline lifts of certain prescribed types , Doc.
Moduli stacks of \'etale (phi,Gamma)-modules and the existence of crystalline lifts [GHLS17] Toby Gee, Florian Herzig, Tong Liu, and David Savit t, Potentially crystalline lifts of certain prescribed types , Doc
Reference 71
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:32:54.801675Z
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 cc3e4552-6bae-47b1-9e87-49346b409b3a · outbound
This paper cites Kedlaya, Jonathan Pottharst, and Liang Xia o, Cohomology of arithmetic families of (ϕ, Γ) -modules, J.
Moduli stacks of \'etale (phi,Gamma)-modules and the existence of crystalline lifts Kedlaya, Jonathan Pottharst, and Liang Xia o, Cohomology of arithmetic families of (ϕ, Γ) -modules, J
Reference 1971
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:32:54.777917Z
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 0973df87-7f41-4d8c-8344-87cea098bd9a · outbound
This paper cites Moduli stacks of two-dimensional Galois representations.
Moduli stacks of \'etale (phi,Gamma)-modules and the existence of crystalline lifts Moduli stacks of two-dimensional Galois representations
Reference 1990
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T12:32:54.732448Z
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 accfbce4-8a98-4641-8a19-c85b7c3e16ca · outbound
This paper cites The universal family of semi-stable p-adic Galois representations.
Moduli stacks of \'etale (phi,Gamma)-modules and the existence of crystalline lifts The universal family of semi-stable p-adic Galois representations
Reference 2003
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T12:32:54.697364Z
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 dd3eb733-2fb5-48d1-8de1-dc2df357f4e0 · outbound
This paper cites On the modularity of 2-adic potentially semi-stable deformation rings.
Moduli stacks of \'etale (phi,Gamma)-modules and the existence of crystalline lifts On the modularity of 2-adic potentially semi-stable deformation rings
Reference 2009
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T12:32:54.681697Z
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 37a86235-c358-486f-b1f8-730e7c543c53 · outbound
This paper cites EMERTON AND T.
Moduli stacks of \'etale (phi,Gamma)-modules and the existence of crystalline lifts EMERTON AND T
Reference 2013
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:32:54.756334Z
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 4ca096e0-9f15-4f38-b155-4ef2b284edec · outbound
This paper cites 7, 1571–1612.
Moduli stacks of \'etale (phi,Gamma)-modules and the existence of crystalline lifts 7, 1571–1612
Reference 2017
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:32:54.744636Z
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 bf0a5e57-9a49-43b6-9b37-4dc71959c9c5 · outbound
This paper cites an unresolved cited work.
Moduli stacks of \'etale (phi,Gamma)-modules and the existence of crystalline lifts Unresolved cited work
Reference 2018
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:32:54.815893Z
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 27e6812c-6d8b-4b98-8453-39f9d4eaa8af · inbound
Moduli stacks of two-dimensional Galois representations cites this paper.
Moduli stacks of two-dimensional Galois representations Moduli stacks of \'etale (phi,Gamma)-modules and the existence of crystalline lifts
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T12:37:35.385470Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d59b5d1d-35b2-41b8-848b-af6b3a082f64 · inbound
Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations cites this paper.
Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations Moduli stacks of \'etale (phi,Gamma)-modules and the existence of crystalline lifts
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T12:19:25.792395Z
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.