Paper Citation Record · LEDGER

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements

As of 22 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2507.18453.

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

pith.paper-citation-record.v1
2507.18453 v2

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:20:09.584480Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

32 of 32 outbound references displayed

verified exact3
verified fuzzy23
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8f8016f6-ee85-442b-8baf-a9c13b6bd3c0 · outbound

This paper cites Projectivity of the Witt vector affine Grassman- nian.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Projectivity of the Witt vector affine Grassman- nian

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:10.073549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 417cb2c2-98b3-4042-a537-90a5c2fbf4ee · outbound

This paper cites Newton polygons as lattice points.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Newton polygons as lattice points

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:10.062736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 12af883f-6e59-4b37-a653-d3de0b248a29 · outbound

This paper cites Affine Deligne-Lusztig varieties at infinite level.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Affine Deligne-Lusztig varieties at infinite level

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:10.050961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation db4259aa-325c-430e-805b-9680cda2f728 · outbound

This paper cites Representations of Reductive Groups Over Finite Fields.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Representations of Reductive Groups Over Finite Fields

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:10.039661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 91313f24-1442-4e81-a675-e076603b3364 · outbound

This paper cites Affine Deligne- Lusztig varieties in affine flag varieties.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Affine Deligne- Lusztig varieties in affine flag varieties

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:10.027387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 839555ad-c11c-466c-8ca8-702c215a5c64 · outbound

This paper cites Dimension of affine Deligne-Lusztig varieties in affine flag varieties.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Dimension of affine Deligne-Lusztig varieties in affine flag varieties

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:10.015240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a28ac04a-6461-4982-9921-adcdbd61fa09 · outbound

This paper cites Dimensions of affine Deligne-Lusztig varieties in affine flag varieties.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Dimensions of affine Deligne-Lusztig varieties in affine flag varieties

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:10.003567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 90b9a66f-1bd5-4025-9b41-c47c1a6c3b2f · outbound

This paper cites P-alcoves and nonemptiness of affine Deligne- Lusztig varieties.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements P-alcoves and nonemptiness of affine Deligne- Lusztig varieties

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:09.992673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 763e0799-d2b6-4950-af0a-523cdf3c434a · outbound

This paper cites The geometry of Newton strata in the reduction modulo p of Shimura varieties of PEL type.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements The geometry of Newton strata in the reduction modulo p of Shimura varieties of PEL type

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:09.983689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a786763f-72da-4d82-9f24-0eb78845c598 · outbound

This paper cites Stratifications in the reduction of Shimura vari- eties.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Stratifications in the reduction of Shimura vari- eties

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:09.974650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d5929b06-d288-46ee-ac57-494eeae4bb6e · outbound

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

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Geometric and homological properties of affine Deligne-Lusztig vari- eties

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:09.964575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a213b93d-7970-4646-86a8-356398da335a · outbound

This paper cites Hecke algebras and p-adic groups.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Hecke algebras and p-adic groups

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:09.953276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4e52377d-8603-4445-bd7d-5288f249105d · outbound

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

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Projected Richardson varieties and affine Schubert vari- eties

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:09.942494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation dc2ba874-1025-4c9b-93c8-594a5d576f8b · outbound

This paper cites Minimal length elements of extended affine Weyl groups.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Minimal length elements of extended affine Weyl groups

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:09.931715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a30f138c-9ae5-47b6-948d-ab38590ecf87 · outbound

This paper cites Affine Deligne--Lusztig varieties with finite Coxeter parts.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Affine Deligne--Lusztig varieties with finite Coxeter parts

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T18:20:09.524253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f42a685-5956-4b36-ba69-6651370b290e · outbound

This paper cites Zero-dimensional affine Deligne--Lusztig varieties.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Zero-dimensional affine Deligne--Lusztig varieties

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:20:09.793895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 22a81129-5010-4e8f-8a6e-a18ab30d8ec5 · outbound

This paper cites Isocrystals with additional structure.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Isocrystals with additional structure

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:09.920640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2f8efca6-b88e-48d3-b4bb-9ad0b65ce46d · outbound

This paper cites Coxeter orbits and eigenspaces of Frobenius.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Coxeter orbits and eigenspaces of Frobenius

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:09.908627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 82954ece-3300-4990-aa67-8d2b0a746d2a · outbound

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

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Generic Newton points and the Newton poset in Iwahori-double cosets

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T18:20:09.539495Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b48b763-008f-41a0-b163-e08e1a4f956a · outbound

This paper cites Steinberg’s cross-section of Newton strata.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Steinberg’s cross-section of Newton strata

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:09.889743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 48710d71-64c2-4061-9ba8-77da83b15550 · outbound

This paper cites A guide to the reduction modulo p of Shimura varieties.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements A guide to the reduction modulo p of Shimura varieties

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:09.879184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2994e73d-60bf-4197-a4d6-8c5099574dc5 · outbound

This paper cites Generic Newton points and cordial elements.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Generic Newton points and cordial elements

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T18:20:09.553967Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa3a2570-1775-415a-942b-c21b91b1a484 · outbound

This paper cites Newton strata in Levi subgroups.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Newton strata in Levi subgroups

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:09.859586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fd52058b-c70b-4d02-b2e9-c7fad59ef546 · outbound

This paper cites Schremmer, R.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Schremmer, R

Reference 24

Resolution: verified exact; raw_fallback, observed 2026-08-15T18:20:09.766130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7c90ef51-8919-45bb-98c6-3953a59bb248 · outbound

This paper cites Basic Loci of Positive Coxeter Type for $GL_n$.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Basic Loci of Positive Coxeter Type for $GL_n$

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-15T18:20:09.564023Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0285b304-31a6-42cc-9d43-1bc9a317dce2 · outbound

This paper cites On the supersingular locus of the Siegel modular variety of genus 3 or 4.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements On the supersingular locus of the Siegel modular variety of genus 3 or 4

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-15T18:20:09.567613Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5688b115-7fc0-4ca8-a194-e4d24c76f3b0 · outbound

This paper cites Takamstsu.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Takamstsu

Reference 27

Resolution: verified exact; raw_fallback, observed 2026-08-15T18:20:09.671659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e68e2455-fc51-42e9-8a88-63ad610fdfba · outbound

This paper cites Truncations of level 1 of elements in the loop group of a reductive group.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Truncations of level 1 of elements in the loop group of a reductive group

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:09.849460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fdc17a76-6df3-435e-9d4b-a75e2057952c · outbound

This paper cites On the geometry of the Newton stratification.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements On the geometry of the Newton stratification

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:09.838441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4b6d46dc-6707-4273-b530-6eceaebf9382 · outbound

This paper cites Minimal Newton strata in Iwahori double cosets.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Minimal Newton strata in Iwahori double cosets

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:09.826974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ada74250-3dad-4716-9975-ef306ec89403 · outbound

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

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Affine Grassmannians and the geometric Satake in mixed charac- teristic

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:20:09.815485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a919c8f8-5746-48a3-9cf7-6931d7261fb8 · outbound

This paper cites an unresolved cited work.

Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements Unresolved cited work

Reference 298

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:20:09.869654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

No inbound Pith citation observations are available.