Paper Citation Record · LEDGER

Irreducibility of Local Models

As of 13 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2412.16575.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2412.16575 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T10:37:50.460795Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

verified exact1
verified fuzzy22
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d5b71b6b-eb9d-4145-886f-7b648d380eb5 · outbound

This paper cites Curve neighborhoods of Schuber t varieties.

Irreducibility of Local Models Curve neighborhoods of Schuber t varieties

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:37:50.722528Z

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 8ff33e5a-c243-4aff-be19-6b54d997a3a8 · outbound

This paper cites A splitting criterion for the Bruhat orderings on Coxeter groups.

Irreducibility of Local Models A splitting criterion for the Bruhat orderings on Coxeter groups

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:37:50.712806Z

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 ca6dc8b7-1ffc-45f6-acc6-ffe7dcbb2f75 · outbound

This paper cites Hecke algebras and shellings of Bruhat intervals.

Irreducibility of Local Models Hecke algebras and shellings of Bruhat intervals

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:37:50.703538Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b2e8ea2b-dea0-46ea-97ae-41727bd6b815 · outbound

This paper cites Singularities of local models.

Irreducibility of Local Models Singularities of local models

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-11T10:37:50.508280Z

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 2eb6c2ec-43c2-4b78-a192-50908d47036b · outbound

This paper cites Aﬃn e Deligne- Lusztig varieties in aﬃne ﬂag varieties.

Irreducibility of Local Models Aﬃn e Deligne- Lusztig varieties in aﬃne ﬂag varieties

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:37:50.693978Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 908c1f70-5ad6-47f5-9d4a-701b32ab55fb · outbound

This paper cites Appendix: On parahoric subgroups.

Irreducibility of Local Models Appendix: On parahoric subgroups

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:37:50.684686Z

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 2219812c-8bf1-4990-97f8-0eb6e291ef25 · outbound

This paper cites Alcoves associated to special ﬁbe rs of local models.

Irreducibility of Local Models Alcoves associated to special ﬁbe rs of local models

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:37:50.675486Z

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 7ad5bd1d-a1d9-4932-a23c-e438853bf60b · outbound

This paper cites Vertexwise criteria for admissibility of alco ves.

Irreducibility of Local Models Vertexwise criteria for admissibility of alco ves

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:37:50.665808Z

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 b5f4795f-8248-45f0-9f53-1f5821e22810 · outbound

This paper cites A subalgebra of 0-Hecke algebra.

Irreducibility of Local Models A subalgebra of 0-Hecke algebra

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:37:50.657532Z

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 00c57549-ad90-4add-a8c4-588154263095 · outbound

This paper cites Geometric and homological properties of aﬃne Deligne-L usztig vari- eties.

Irreducibility of Local Models Geometric and homological properties of aﬃne Deligne-L usztig vari- eties

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:37:50.649410Z

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 3f5b85a3-c4cd-4356-8c7f-31674ff52bcd · outbound

This paper cites Kottwitz-Rapoport conjecture on unions of aﬃne Delig ne-Lusztig varieties.

Irreducibility of Local Models Kottwitz-Rapoport conjecture on unions of aﬃne Delig ne-Lusztig varieties

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:37:50.640708Z

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 fcd6928e-5ca0-494a-a504-e7c10cc4e0d0 · outbound

This paper cites Projected Richardson varieties and aﬃne Sc hubert vari- eties.

Irreducibility of Local Models Projected Richardson varieties and aﬃne Sc hubert vari- eties

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:37:50.631413Z

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 f772078a-8cf5-4e92-974e-fc8041e6d125 · outbound

This paper cites On the µ-ordinary locus of a Shimura variety.

Irreducibility of Local Models On the µ-ordinary locus of a Shimura variety

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:37:50.621516Z

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 f36989d5-76e9-43ed-aa90-86ee9fe90bf9 · outbound

This paper cites Dimension formula for the aﬃne Deligne-Lusztig variety X(µ, b).

Irreducibility of Local Models Dimension formula for the aﬃne Deligne-Lusztig variety X(µ, b)

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:37:50.611760Z

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 dc7cb35f-ec70-4b29-ac80-30abd7031b71 · outbound

This paper cites A uniform model for Kirillov-Reshetikhin crysta ls I: Lifting the parabolic quantum Bruhat graph.

Irreducibility of Local Models A uniform model for Kirillov-Reshetikhin crysta ls I: Lifting the parabolic quantum Bruhat graph

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:37:50.601464Z

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 50c35272-1642-400c-9fe2-b95bb39fe94b · outbound

This paper cites Generic Newton points and the Newton poset in Iwahori-double cosets.

Irreducibility of Local Models Generic Newton points and the Newton poset in Iwahori-double cosets

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:37:50.591276Z

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 04231a09-a681-42d6-a8fd-c86681fd4174 · outbound

This paper cites Local models of Shimura varieties and a c onjecture of Kottwitz.

Irreducibility of Local Models Local models of Shimura varieties and a c onjecture of Kottwitz

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:37:50.581632Z

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 3eb93f37-00f9-4c16-9c96-0a0e71543a4a · outbound

This paper cites Quantum Bruhat graph and Schubert polynomia ls.

Irreducibility of Local Models Quantum Bruhat graph and Schubert polynomia ls

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:37:50.571478Z

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 2bba4540-a959-453a-a088-fb85c9288c74 · outbound

This paper cites Period spaces for p-divisible groups.

Irreducibility of Local Models Period spaces for p-divisible groups

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:37:50.559165Z

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 466f6a82-b329-42ea-801c-2c26523b80e5 · outbound

This paper cites Aﬃne Deligne-Lusztig varieties and quantum Br uhat graph.

Irreducibility of Local Models Aﬃne Deligne-Lusztig varieties and quantum Br uhat graph

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:37:50.548976Z

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 b7d02fde-3fbd-4e74-b15a-945fadaa5e46 · outbound

This paper cites Generic Newton points and cordial elements.

Irreducibility of Local Models Generic Newton points and cordial elements

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T10:37:50.450659Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39065470-fdf5-48f1-ad99-3fe93c0a26b2 · outbound

This paper cites Aﬃne Bruhat order and Demazure products.

Irreducibility of Local Models Aﬃne Bruhat order and Demazure products

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:37:50.538911Z

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 5d1bbed7-e8be-4bb0-932f-d56a3faf8ef5 · outbound

This paper cites Reductive groups over local ﬁelds.

Irreducibility of Local Models Reductive groups over local ﬁelds

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:37:50.529596Z

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 56d4ecf4-4172-46c3-895a-24e985fcc77b · outbound

This paper cites Aﬃne Grassmannians and the geometric Satake in mixed charac- teristic.

Irreducibility of Local Models Aﬃne Grassmannians and the geometric Satake in mixed charac- teristic

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T10:37:50.519710Z

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.