Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:37:53.949205Z
Paper Citation Record · LEDGER
Reductions of some two-dimensional crystalline representations via Kisin modules
As of 16 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:1908.09036.
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
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
30 of 30 outbound references displayed
- verified exact6
- verified fuzzy15
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 01b3bef4-7f56-4e8a-a5c5-a21f4b97a352 · outbound
This paper cites Reduction modulo p of two-dimensional crystalline representations of G_{Q_p} of slope less than three.
Reductions of some two-dimensional crystalline representations via Kisin modules Reduction modulo p of two-dimensional crystalline representations of G_{Q_p} of slope less than three
Reference 1
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:37:54.052519Z
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 6b778111-f931-4b1c-9510-4c7af2389fa5 · outbound
This paper cites Limiting measures of supersingularities.
Reductions of some two-dimensional crystalline representations via Kisin modules Limiting measures of supersingularities
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:37:54.037852Z
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 29a1b729-bdd4-45e1-ae09-395ed83fc29d · outbound
This paper cites Reductions of $2$-dimensional semi-stable representations with large $\mathcal L$-invariant.
Reductions of some two-dimensional crystalline representations via Kisin modules Reductions of $2$-dimensional semi-stable representations with large $\mathcal L$-invariant
Reference 3
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:37:54.025244Z
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 3ae7e06d-fcf7-445c-be18-d2bb33179397 · outbound
This paper cites an unresolved cited work.
Reductions of some two-dimensional crystalline representations via Kisin modules Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:37:54.285166Z
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 50578129-7b59-4f57-85ce-7087d236ac16 · outbound
This paper cites an unresolved cited work.
Reductions of some two-dimensional crystalline representations via Kisin modules Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:37:54.275438Z
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 a4af2520-e7fd-462c-bc38-ad164c19ef76 · outbound
This paper cites Berger, H.
Reductions of some two-dimensional crystalline representations via Kisin modules Berger, H
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:37:54.266546Z
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 6e434615-958d-4e40-bff9-e5ba9e0ab14c · outbound
This paper cites Bhattacharya and E.
Reductions of some two-dimensional crystalline representations via Kisin modules Bhattacharya and E
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:37:54.256931Z
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 83e45c1f-3efc-48df-bcce-8a297fabb8c7 · outbound
This paper cites Bhattacharya, E.
Reductions of some two-dimensional crystalline representations via Kisin modules Bhattacharya, E
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:37:54.247193Z
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 fd7b52e9-4a6c-4cbe-961e-82b2627a4963 · outbound
This paper cites Bosch, U.
Reductions of some two-dimensional crystalline representations via Kisin modules Bosch, U
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:37:54.237477Z
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 44a2a9f4-612a-421d-85c5-f03b4eb6eb06 · outbound
This paper cites an unresolved cited work.
Reductions of some two-dimensional crystalline representations via Kisin modules Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:37:54.227875Z
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 3394aba7-f1b4-4f49-800a-c49078f71ede · outbound
This paper cites Breuil and A.
Reductions of some two-dimensional crystalline representations via Kisin modules Breuil and A
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:37:54.219273Z
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 4f2e9cd8-68ed-4267-979f-ca4dd67239ac · outbound
This paper cites Buzzard and F.
Reductions of some two-dimensional crystalline representations via Kisin modules Buzzard and F
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:37:54.210638Z
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 ade28e90-3140-496c-9ac0-656232886e34 · outbound
This paper cites Buzzard and T.
Reductions of some two-dimensional crystalline representations via Kisin modules Buzzard and T
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:37:54.200635Z
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 ba05cb15-ad39-4f2b-b7bb-7d70f9e53bf0 · outbound
This paper cites Buzzard and T.
Reductions of some two-dimensional crystalline representations via Kisin modules Buzzard and T
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:37:54.189991Z
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 61428d76-e08e-4822-aca8-524b611cce71 · outbound
This paper cites Buzzard and T.
Reductions of some two-dimensional crystalline representations via Kisin modules Buzzard and T
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:37:54.179480Z
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 356f6a23-1ba2-4b00-884d-80066fe3c1dc · outbound
This paper cites Caruso, A.
Reductions of some two-dimensional crystalline representations via Kisin modules Caruso, A
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:37:54.169132Z
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 8985214e-89db-405d-a893-d5efc9b6d3f7 · outbound
This paper cites Semi-simplified modulo $p$ of semi-stable representations: an algorithmic approach.
Reductions of some two-dimensional crystalline representations via Kisin modules Semi-simplified modulo $p$ of semi-stable representations: an algorithmic approach
Reference 17
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:37:54.011275Z
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 75cccc61-2de7-4b72-bc8f-263ca59e49ac · outbound
This paper cites Dousmanis.
Reductions of some two-dimensional crystalline representations via Kisin modules Dousmanis
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:37:54.160344Z
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 33b98941-b5b6-485d-93a1-19ae532bcd18 · outbound
This paper cites Edixhoven.
Reductions of some two-dimensional crystalline representations via Kisin modules Edixhoven
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:37:54.151399Z
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 be6d7843-0c0e-4a99-8d70-e5c4a66b458c · outbound
This paper cites Fontaine.
Reductions of some two-dimensional crystalline representations via Kisin modules Fontaine
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:37:54.142367Z
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 7877e8e1-ecaf-4dd6-9713-f93eb468e805 · outbound
This paper cites Reductions of Galois representations of Slope $\frac{3}{2}$.
Reductions of some two-dimensional crystalline representations via Kisin modules Reductions of Galois representations of Slope $\frac{3}{2}$
Reference 21
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:37:53.997184Z
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 829c2689-c626-4da5-b06e-9d16ed95927d · outbound
This paper cites an unresolved cited work.
Reductions of some two-dimensional crystalline representations via Kisin modules Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:37:54.132682Z
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 f4d846d8-09db-4eba-8ebe-248695866752 · outbound
This paper cites an unresolved cited work.
Reductions of some two-dimensional crystalline representations via Kisin modules Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:37:54.122103Z
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 50aacc0b-cd5a-4a0a-8735-e5becafff0b2 · outbound
This paper cites an unresolved cited work.
Reductions of some two-dimensional crystalline representations via Kisin modules Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:37:54.111911Z
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 70d20bbc-3263-4f2a-8468-c5a022534c00 · outbound
This paper cites an unresolved cited work.
Reductions of some two-dimensional crystalline representations via Kisin modules Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:37:54.101806Z
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 edd55d0c-193a-44af-bf37-2a0d266e9f06 · outbound
This paper cites an unresolved cited work.
Reductions of some two-dimensional crystalline representations via Kisin modules Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:37:54.092978Z
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 5e8c9e73-aeb7-4ad7-af27-2569212bb121 · outbound
This paper cites Reductions of modular Galois representations of Slope (2,3).
Reductions of some two-dimensional crystalline representations via Kisin modules Reductions of modular Galois representations of Slope (2,3)
Reference 27
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:37:53.982818Z
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 9cb88115-6629-4a9f-a6e6-94dc9c9c1e38 · outbound
This paper cites Rozensztajn.
Reductions of some two-dimensional crystalline representations via Kisin modules Rozensztajn
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:37:54.083956Z
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 9d81a6c7-6d02-4f7e-a33b-07556ad8c7f4 · outbound
This paper cites an unresolved cited work.
Reductions of some two-dimensional crystalline representations via Kisin modules Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:37:54.074209Z
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 3776693d-9337-4b8d-94ee-f711671a2639 · outbound
This paper cites Yamashita and S.
Reductions of some two-dimensional crystalline representations via Kisin modules Yamashita and S
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:37:54.063678Z
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
No inbound Pith citation observations are available.