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Paper Citation Record · LEDGER

Irreducibility of Local Models

As of 18 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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:37:50.386698Z digest=sha256:4b0525bc6437486b4912c34c308680f09fd828b67580c5d887b42c8563f9ce50

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:37:50.390905Z digest=sha256:a4e228eafb74b8acf600e110bd661b178eb19702f2a0f0aca03fb2fd2b4f1a62

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:37:50.393938Z digest=sha256:eb57c747ad7ad223282d653ada343eaeb844ff1069b52875995a511f32a5623e

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:37:50.396941Z digest=sha256:8fcb9feb3082317123fac17738bfdf08852f9cf4d4754988e08419d6e1cdb4f4

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:37:50.400613Z digest=sha256:444176797ca889004455b641c99230e13793c8af902391d4f3d36c15cc9134b1

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:37:50.403643Z digest=sha256:05acad552e9ef1aee81170a5f746bf5906faac2ca73c12dfef7cfd18894a93ca

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:37:50.406944Z digest=sha256:808c7b1ffb1ead0b2ea5f542aadc4e012f0646cc2f66eeda571d28084b51346f

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:37:50.409647Z digest=sha256:4e469b4d23ecfd5891f5723ba868afd8e5d0d917d74273cf47599a951c59d137

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:37:50.412440Z digest=sha256:fe47bf7f32e3da1e87b4885b6dabc62c3c73b3f00725378c12cf1ddf22fe70e0

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:37:50.415172Z digest=sha256:c9950dad0d4bf13ed5522e4ee605665b2b0d570474640bea476b1ad77a96c307

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:37:50.418306Z digest=sha256:e380a66da9cfeb5dd1db436e07967d323c9b5bf523d5cf1733ddd83a716bfc33

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:37:50.421459Z digest=sha256:ca582c45367f16e943f0072ed2865d81e4766d4765ee0e4a4da242b3f9d0146d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:37:50.424703Z digest=sha256:eae75c33eae81f0ca4f6b770fa7d4ebd21cd919da4ef6e8a91b6d8656c585952

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:37:50.427751Z digest=sha256:f8384e021af56818b50f0482ecb64ef68e1120acd61fbffadb207c517cdad728

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:37:50.430920Z digest=sha256:3f034ef7e8825f425b32512dc1a823f6a56b9950aa9092eb7295d622807c6ebf

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:37:50.434162Z digest=sha256:6826fd9f923fa42f8322bad0079978705ed6425bdce89c9d9160d90d029d07b6

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:37:50.437478Z digest=sha256:5e2977354d2ac2d1db02407c6f621cc7a3d7af9f544ade8fab65ff8b3dafdd5b

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:37:50.440628Z digest=sha256:aa62de12e4ed4f34c46edbeee6737f95630e6ed93cb5c9a4de70c73ffafb1c4c

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:37:50.443792Z digest=sha256:1cd8d99200d34e0fd52b7be1434df5e0e20a4bc8695feb45946ae6315e751c39

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:37:50.446860Z digest=sha256:964d8557cfc32d70a64a013bf9347393c7493f7fee43f346661f64d4cf045ea8

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.

source=pdf_text observed=2026-08-11T10:37:50.450659Z digest=sha256:e93383d6815e793a7134c170699666f9692975e6fac7e1422d67ba18eee14991

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:37:50.454320Z digest=sha256:80666459757380f35119aa2d5d37462b8ed8272c80650ebe370b6cee079838ba

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:37:50.457460Z digest=sha256:ee8ad96c4f9cb97cafc62c84e519d45ae4ac594addee10dcf52b3605ea940a8d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T10:37:50.460795Z digest=sha256:37670e29ca0f7e6bc01778e36fdb0a68d751975ee186e8f96199e984b528617d

Pith citing papers

No inbound Pith citation observations are available.