Paper Citation Record · LEDGER

A toy model for the Drinfeld-Lafforgue shtuka construction

As of 22 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 2 inbound Pith citation observations for arXiv:1908.05420.

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

pith.paper-citation-record.v1
1908.05420 v5

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:21:55.078328Z

measured 38 of 38 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T16:07:29.709974Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T16:07:30.119430Z

Reference resolution

36 of 36 outbound references displayed

verified exact6
verified fuzzy25
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 364e0a50-b0fb-4a5b-adae-c7f33370a59c · outbound

This paper cites Arinkin and D.

A toy model for the Drinfeld-Lafforgue shtuka construction Arinkin and D

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.573265Z

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 dbaa4a23-374c-4a4a-bd97-e731427c47e7 · outbound

This paper cites Beilinson, Constructible sheaves are holonomic , Selecta Mathematica 22 (2016), 1797--1819.

A toy model for the Drinfeld-Lafforgue shtuka construction Beilinson, Constructible sheaves are holonomic , Selecta Mathematica 22 (2016), 1797--1819

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.559837Z

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 008a1eb9-baa4-4254-b77f-666f62bee6f6 · outbound

This paper cites Ben-Zvi, J.

A toy model for the Drinfeld-Lafforgue shtuka construction Ben-Zvi, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.547349Z

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 34270954-3f74-4926-b88f-edc4ae88984f · outbound

This paper cites Betti Geometric Langlands.

A toy model for the Drinfeld-Lafforgue shtuka construction Betti Geometric Langlands

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-14T13:21:54.947225Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4da5c2a2-a36d-4a72-bb00-e0cd1fe869d0 · outbound

This paper cites Nonlinear Traces.

A toy model for the Drinfeld-Lafforgue shtuka construction Nonlinear Traces

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-14T13:21:54.951737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54ee0b8b-5230-4356-9e5e-52dd904e4f5a · outbound

This paper cites Drinfeld and D.

A toy model for the Drinfeld-Lafforgue shtuka construction Drinfeld and D

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.533870Z

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 33b3eb2a-8495-496c-997b-7bff5920ca2b · outbound

This paper cites Drinfeld and D.

A toy model for the Drinfeld-Lafforgue shtuka construction Drinfeld and D

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.521265Z

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 9ffcd7bb-4846-423e-aeb2-64ee93c080e8 · outbound

This paper cites Gaitsgory, Outline of the proof of the geometric Langlands conjecture for GL(2) , Ast\'erisque 370 (2015), 1--112.

A toy model for the Drinfeld-Lafforgue shtuka construction Gaitsgory, Outline of the proof of the geometric Langlands conjecture for GL(2) , Ast\'erisque 370 (2015), 1--112

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.510064Z

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 fc03b592-df87-48d6-8e9c-14ccb6c12196 · outbound

This paper cites From geometric to function-theoretic Langlands (or how to invent shtukas).

A toy model for the Drinfeld-Lafforgue shtuka construction From geometric to function-theoretic Langlands (or how to invent shtukas)

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-14T13:21:54.968432Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c075bd5-61ab-454b-9939-98fdfa49a28c · outbound

This paper cites The semi-infinite intersection cohomology sheaf-II: the Ran space version.

A toy model for the Drinfeld-Lafforgue shtuka construction The semi-infinite intersection cohomology sheaf-II: the Ran space version

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:21:55.223213Z

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 e3a9c323-5cd0-4c21-b000-6f4d37f5cb8f · outbound

This paper cites The local and global versions of the Whittaker category.

A toy model for the Drinfeld-Lafforgue shtuka construction The local and global versions of the Whittaker category

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-14T13:21:54.977301Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8fc158e-ae46-453d-a0c5-fa5750822132 · outbound

This paper cites Gaitsgory, Sheaves of categories and the notion of 1-affineness , Contemporary Mathematics 643 (2015), 1--99.

A toy model for the Drinfeld-Lafforgue shtuka construction Gaitsgory, Sheaves of categories and the notion of 1-affineness , Contemporary Mathematics 643 (2015), 1--99

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.497560Z

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 88879b7c-27c7-4864-9903-15fbab013a3e · outbound

This paper cites Gaitsgory, Stability of the ULA property under taking perverse cohomologies , available at: www.math.harvard.edu gaitsgde/GL.

A toy model for the Drinfeld-Lafforgue shtuka construction Gaitsgory, Stability of the ULA property under taking perverse cohomologies , available at: www.math.harvard.edu gaitsgde/GL

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.484896Z

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 ebe82eaf-ac2b-4d5e-af44-2306ff7672db · outbound

This paper cites Gaitsgory and J.

A toy model for the Drinfeld-Lafforgue shtuka construction Gaitsgory and J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.471698Z

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 c9eb5d36-3643-403d-9692-5dd516042069 · outbound

This paper cites Gaitsgory and N.

A toy model for the Drinfeld-Lafforgue shtuka construction Gaitsgory and N

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.457936Z

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 41100e27-3474-4b60-8e08-45a721d40a04 · outbound

This paper cites Gaitsgory and N.

A toy model for the Drinfeld-Lafforgue shtuka construction Gaitsgory and N

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.446577Z

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 8bdb125a-5eac-4e48-be3c-08845bac2575 · outbound

This paper cites Gepner, R.

A toy model for the Drinfeld-Lafforgue shtuka construction Gepner, R

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.434369Z

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 70df22bf-01ba-4aa6-afb1-46b347b41160 · outbound

This paper cites Hoyois, S.

A toy model for the Drinfeld-Lafforgue shtuka construction Hoyois, S

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.421839Z

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 8d674078-9f6e-4714-8e0f-1b4b43b9d703 · outbound

This paper cites Kashiwara and P.

A toy model for the Drinfeld-Lafforgue shtuka construction Kashiwara and P

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.408240Z

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 9c9dc10b-f21d-4c1d-a87c-32bf355b631c · outbound

This paper cites Categorical proof of Holomorphic Atiyah-Bott formula.

A toy model for the Drinfeld-Lafforgue shtuka construction Categorical proof of Holomorphic Atiyah-Bott formula

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:21:55.195547Z

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 4374bc09-0fb0-49cc-be9f-b4dd4b24e659 · outbound

This paper cites Equivariant Grothendieck-Riemann-Roch theorem via formal deformation theory.

A toy model for the Drinfeld-Lafforgue shtuka construction Equivariant Grothendieck-Riemann-Roch theorem via formal deformation theory

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:21:55.178430Z

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 8bd6cb10-5c8c-4e51-94a5-33255b3b2359 · outbound

This paper cites Fargues, Geometrization of the local Langlands correspondence: an overview ,.

A toy model for the Drinfeld-Lafforgue shtuka construction Fargues, Geometrization of the local Langlands correspondence: an overview ,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.394940Z

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 0baa9f80-e1ac-4a14-92f4-a0c272afa2a9 · outbound

This paper cites Lafforgue, Chtoucas pour les groupes r\'eductifs et param\'etrisation de Langlands globale , JAMS 31 (2018), 719--891.

A toy model for the Drinfeld-Lafforgue shtuka construction Lafforgue, Chtoucas pour les groupes r\'eductifs et param\'etrisation de Langlands globale , JAMS 31 (2018), 719--891

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.380962Z

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 6f102895-133c-483b-8e29-0248c74b3966 · outbound

This paper cites Lurie, Higher Topos Theory , Annals of Mathematical Studies, Princeton University Press (2009).

A toy model for the Drinfeld-Lafforgue shtuka construction Lurie, Higher Topos Theory , Annals of Mathematical Studies, Princeton University Press (2009)

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.368194Z

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 e2df7a45-afc6-4be0-84e6-2dbca8128ea9 · outbound

This paper cites Lurie, Higher Algebra , available at: www.math.harvard.edu lurie.

A toy model for the Drinfeld-Lafforgue shtuka construction Lurie, Higher Algebra , available at: www.math.harvard.edu lurie

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.354576Z

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 185404ee-60d1-4f2a-8b84-f6e44fe1c402 · outbound

This paper cites Lurie, Spectral Algebraic Geometry , available at: www.math.harvard.edu lurie.

A toy model for the Drinfeld-Lafforgue shtuka construction Lurie, Spectral Algebraic Geometry , available at: www.math.harvard.edu lurie

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.342747Z

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 20e51da5-d291-4110-9cac-ad023b719a9d · outbound

This paper cites Duality and nearby cycles over general bases.

A toy model for the Drinfeld-Lafforgue shtuka construction Duality and nearby cycles over general bases

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-14T13:21:55.044119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83847c19-9d84-435b-92a7-7d095342b77d · outbound

This paper cites Mirkovic and K.

A toy model for the Drinfeld-Lafforgue shtuka construction Mirkovic and K

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.329827Z

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 7182c520-6f08-4bf4-a3db-72acc3be208f · outbound

This paper cites Neeman, On the derived category of sheaves on a manifold , Documenta Mathematica 6 (2001), 483--488.

A toy model for the Drinfeld-Lafforgue shtuka construction Neeman, On the derived category of sheaves on a manifold , Documenta Mathematica 6 (2001), 483--488

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.316729Z

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 7c10ec40-c40e-479a-b44d-ff3edcccb0d7 · outbound

This paper cites Neeman, Non-left-complete derived categories , Math.

A toy model for the Drinfeld-Lafforgue shtuka construction Neeman, Non-left-complete derived categories , Math

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.305135Z

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 7709fabc-d4c9-4113-ab02-e5ec35195d8c · outbound

This paper cites Spectral action in Betti Geometric Langlands.

A toy model for the Drinfeld-Lafforgue shtuka construction Spectral action in Betti Geometric Langlands

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:21:55.150214Z

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 ce4d46d8-d6e3-4d2d-8bf3-20a799159932 · outbound

This paper cites Rozenblyum, Filtered colimits of -categories , available at: http://www.math.harvard.edu/ gaitsgde/GL/colimits.pdf.

A toy model for the Drinfeld-Lafforgue shtuka construction Rozenblyum, Filtered colimits of -categories , available at: http://www.math.harvard.edu/ gaitsgde/GL/colimits.pdf

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.292667Z

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 c7cc1e72-7bca-4a33-8f37-48e01b01eafd · outbound

This paper cites Stasheff, Homotopy associativity of H-spaces I, II.

A toy model for the Drinfeld-Lafforgue shtuka construction Stasheff, Homotopy associativity of H-spaces I, II

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.281167Z

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 75319c48-83a3-42eb-a288-fe906c8b0dff · outbound

This paper cites Toen and G.

A toy model for the Drinfeld-Lafforgue shtuka construction Toen and G

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:21:55.269359Z

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 1026125f-7312-48b2-8ad8-a8f0a87be7e5 · outbound

This paper cites Local terms for transversal intersections.

A toy model for the Drinfeld-Lafforgue shtuka construction Local terms for transversal intersections

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:21:55.134337Z

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 6fcd7d3f-9129-46a7-b772-74bdde5db407 · outbound

This paper cites Finiteness of cohomology groups of stacks of shtukas as modules over Hecke algebras, and applications.

A toy model for the Drinfeld-Lafforgue shtuka construction Finiteness of cohomology groups of stacks of shtukas as modules over Hecke algebras, and applications

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:21:55.116906Z

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

Observation 5957ac62-1ab3-4882-9bab-cff69757a7fe · inbound

Non-vanishing of quantum geometric Whittaker coefficients cites this paper.

Non-vanishing of quantum geometric Whittaker coefficients A toy model for the Drinfeld-Lafforgue shtuka construction

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-05T16:07:30.123838Z

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 24c4a3d7-9c65-48dd-a5df-1efae75dbc85 · inbound

On the excursion algebra cites this paper.

On the excursion algebra A toy model for the Drinfeld-Lafforgue shtuka construction

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T00:25:49.154029Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.