Paper Citation Record · LEDGER

Introduction to Shtukas and their moduli

As of 15 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2411.10248.

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

pith.paper-citation-record.v1
2411.10248 v1

Coverage vector

measured 45 of 45 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-12T19:56:33.053400Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

45 of 45 outbound references displayed

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External citation measurements

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Outbound references

Observation 305e9506-211e-49f8-abc7-0ea105ae781f · outbound

This paper cites Arasteh Rad, U.

Introduction to Shtukas and their moduli Arasteh Rad, U

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.947038Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5953b33a-55d7-459c-b660-ddfeda05324a · outbound

This paper cites Duke Math.

Introduction to Shtukas and their moduli Duke Math

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.929828Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 437d0138-0eb0-454c-ae09-7b40ca3e0423 · outbound

This paper cites Functoriality of Moduli Spaces of Global $\mathbb G$-Shtukas.

Introduction to Shtukas and their moduli Functoriality of Moduli Spaces of Global $\mathbb G$-Shtukas

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-12T19:56:33.269294Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3d459fde-e317-4e40-a8c1-5d49d3d31b5d · outbound

This paper cites Deligne, G.

Introduction to Shtukas and their moduli Deligne, G

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.914739Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c5e9dbec-239a-4d21-8382-5e7750ebd1d2 · outbound

This paper cites Drinfeld, Elliptic modules.

Introduction to Shtukas and their moduli Drinfeld, Elliptic modules

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.897272Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 13ce17e8-0dd1-4ddf-9bb4-4675e0ac77fe · outbound

This paper cites Drinfeld, Moduli varieties of F -sheaves.

Introduction to Shtukas and their moduli Drinfeld, Moduli varieties of F -sheaves

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.880664Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f73218c3-8492-4f88-865a-64a7b211aece · outbound

This paper cites Drinfeld, Proof of the Petersson conjecture for GL(2) over a global ﬁeld of characteristic p.

Introduction to Shtukas and their moduli Drinfeld, Proof of the Petersson conjecture for GL(2) over a global ﬁeld of characteristic p

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.864288Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1404ff53-b4cb-4347-ae00-2599281854ee · outbound

This paper cites an unresolved cited work.

Introduction to Shtukas and their moduli Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-12T19:56:33.847737Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4ffb3f16-abe7-43fb-ab36-2a2ce3c58ee6 · outbound

This paper cites an unresolved cited work.

Introduction to Shtukas and their moduli Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-12T19:56:33.831599Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation cb5dea43-7dbb-4ff3-92b9-6f38cde6dc1a · outbound

This paper cites Higher theta series for unitary groups over function fields.

Introduction to Shtukas and their moduli Higher theta series for unitary groups over function fields

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T19:56:32.860803Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dbcb47b6-bc19-4453-9440-f4ab1e05dccf · outbound

This paper cites Modularity of higher theta series I: cohomology of the generic fiber.

Introduction to Shtukas and their moduli Modularity of higher theta series I: cohomology of the generic fiber

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-12T19:56:33.229554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6319d0a9-6f25-40ed-b535-59e7faa6f517 · outbound

This paper cites Gan, B.Gross, D.Prasad, Symplectic local root num bers, central critical L values, and restriction problems in the representation theory of classical groups.

Introduction to Shtukas and their moduli Gan, B.Gross, D.Prasad, Symplectic local root num bers, central critical L values, and restriction problems in the representation theory of classical groups

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.814651Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c4277592-740f-4f0d-9fe2-60e0d38a9123 · outbound

This paper cites Chtoucas restreints pour les groupes r\'eductifs et param\'etrisation de Langlands locale.

Introduction to Shtukas and their moduli Chtoucas restreints pour les groupes r\'eductifs et param\'etrisation de Langlands locale

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T19:56:32.876100Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e697b9ba-4b99-4dbf-a65c-b8b9bbc9ee3a · outbound

This paper cites Goss, Basic structures of function ﬁeld arithmetic.

Introduction to Shtukas and their moduli Goss, Basic structures of function ﬁeld arithmetic

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.798042Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1e472de7-6d67-4e6a-8b30-b62f186a7ea1 · outbound

This paper cites Jannsen, Motives, numerical equivalence, and semi- simplicity, Invent.

Introduction to Shtukas and their moduli Jannsen, Motives, numerical equivalence, and semi- simplicity, Invent

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.782349Z

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Observation 37541191-b2a8-4e70-a98b-cc25b0e8d772 · outbound

This paper cites B(G) for all local and global fields.

Introduction to Shtukas and their moduli B(G) for all local and global fields

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-12T19:56:32.894498Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec548fd7-2844-4aea-aa83-b58b233e5fe1 · outbound

This paper cites an unresolved cited work.

Introduction to Shtukas and their moduli Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-12T19:56:33.766209Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation cc6c73fe-1b45-44bc-a1ae-3db3b0e2d6de · outbound

This paper cites Kudla, M.Rapoport, Special cycles on unitary Shimur a varieties I: Unramiﬁed local theory, Invent.

Introduction to Shtukas and their moduli Kudla, M.Rapoport, Special cycles on unitary Shimur a varieties I: Unramiﬁed local theory, Invent

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.750441Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 323e1aa4-f3ff-413b-af9c-eb4bcba66ee7 · outbound

This paper cites Kudla, M.

Introduction to Shtukas and their moduli Kudla, M

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.733852Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 939b3fd5-0e74-43d2-a3ac-b54ac28031c2 · outbound

This paper cites Laﬀorgue, Une compactiﬁcation des champs classiﬁan t les chtoucas de Drinfeld.

Introduction to Shtukas and their moduli Laﬀorgue, Une compactiﬁcation des champs classiﬁan t les chtoucas de Drinfeld

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.714823Z

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Observation 116f9846-fc09-46c8-a72c-e7d0f0437e68 · outbound

This paper cites Laﬀorgue, Chtoucas de Drinfeld et correspondance de Langlands.

Introduction to Shtukas and their moduli Laﬀorgue, Chtoucas de Drinfeld et correspondance de Langlands

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.696528Z

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Observation 14168081-1bee-406e-a273-68d45b2016e8 · outbound

This paper cites Laﬀorgue, Chtoucas pour les groupes r´ eductifs et pa ram´ etrisation de Langlands globale.

Introduction to Shtukas and their moduli Laﬀorgue, Chtoucas pour les groupes r´ eductifs et pa ram´ etrisation de Langlands globale

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.673920Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6c33ab60-97b9-49e2-81ec-d52bf91a791c · outbound

This paper cites Langlands, M.Rapoport, Shimuravariet¨ aten und Ger ben.

Introduction to Shtukas and their moduli Langlands, M.Rapoport, Shimuravariet¨ aten und Ger ben

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.658344Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8c55cb6a-e40e-45d4-992f-0f9a7c1b7631 · outbound

This paper cites Laumon, M.

Introduction to Shtukas and their moduli Laumon, M

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.640784Z

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Observation 6701b4e9-c62d-4189-abf6-9a06fd9d38d5 · outbound

This paper cites Laumon, Drinfeld shtukas.

Introduction to Shtukas and their moduli Laumon, Drinfeld shtukas

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.620320Z

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Observation 332ee594-9e32-4ae1-9811-c47618036fee · outbound

This paper cites an unresolved cited work.

Introduction to Shtukas and their moduli Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-12T19:56:33.594807Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 429faa75-fdc6-4464-b62e-d07a97a47a9f · outbound

This paper cites Milne, Motives over ﬁnite ﬁelds.

Introduction to Shtukas and their moduli Milne, Motives over ﬁnite ﬁelds

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.579891Z

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Observation 41b7215c-ac15-4f6c-a934-6f38e2d91f5a · outbound

This paper cites Mirkovic, K.Vilonen, Geometric Langlands duality a nd representations of algebraic groups over commu- tative rings.

Introduction to Shtukas and their moduli Mirkovic, K.Vilonen, Geometric Langlands duality a nd representations of algebraic groups over commu- tative rings

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.560619Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4186c7ba-c2c3-4318-b415-94207b95fb61 · outbound

This paper cites Mumford, An algebro-geometric construction of comm uting operators and of solutions to the Toda lattice equation, Korteweg deVries equation and related nonlinear equation.

Introduction to Shtukas and their moduli Mumford, An algebro-geometric construction of comm uting operators and of solutions to the Toda lattice equation, Korteweg deVries equation and related nonlinear equation

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.542565Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation df48e913-b552-41bc-9219-1e08ff47f230 · outbound

This paper cites Ngˆ o Dac, Compactiﬁcation des champs de chtoucas et t h´ eorie g´ eom´ etrique des invariants.

Introduction to Shtukas and their moduli Ngˆ o Dac, Compactiﬁcation des champs de chtoucas et t h´ eorie g´ eom´ etrique des invariants

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.526404Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation dde033d7-c7ff-4153-ae1e-509984c923e5 · outbound

This paper cites Ngˆ o Dac, Introduction to the stacks of shtukas.

Introduction to Shtukas and their moduli Ngˆ o Dac, Introduction to the stacks of shtukas

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.509241Z

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Observation 2e9414c2-34cd-4c4a-80ab-1aaee44dbc7f · outbound

This paper cites Pappas, M.

Introduction to Shtukas and their moduli Pappas, M

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.492368Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 94ba4a0c-1f4f-420c-a87b-21f649694032 · outbound

This paper cites Rapoport, A guide to the reduction modulo p of Shimura varieties, in Automorphic Forms.

Introduction to Shtukas and their moduli Rapoport, A guide to the reduction modulo p of Shimura varieties, in Automorphic Forms

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.475037Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ae65207a-1b51-4f8d-b719-04412482c90c · outbound

This paper cites Scholze, J.

Introduction to Shtukas and their moduli Scholze, J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.458861Z

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Observation d8d0607f-bb84-413e-9eda-d5a54be913d6 · outbound

This paper cites Scholze, p-adic geometry.

Introduction to Shtukas and their moduli Scholze, p-adic geometry

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.442733Z

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Observation 0ea4dd6f-8a61-44e4-9983-9b01a4d574f4 · outbound

This paper cites Selecta Math.

Introduction to Shtukas and their moduli Selecta Math

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.407407Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b13afdc6-e744-4702-9be0-8ae6a120e567 · outbound

This paper cites ´Epijournal G´ eom.

Introduction to Shtukas and their moduli ´Epijournal G´ eom

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.390531Z

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Observation 720479af-ac96-4a39-9987-fa60a9896e92 · outbound

This paper cites Xue, Lectures in the IHES summer school.

Introduction to Shtukas and their moduli Xue, Lectures in the IHES summer school

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.374077Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 90d88fdf-7cbd-460c-adbb-98b1c602698b · outbound

This paper cites an unresolved cited work.

Introduction to Shtukas and their moduli Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-12T19:56:33.356522Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 97071f0b-871b-4719-b332-21cc26ed4c4a · outbound

This paper cites an unresolved cited work.

Introduction to Shtukas and their moduli Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-12T19:56:33.338662Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation caaa9046-ed35-4211-8123-4eeaf26bf808 · outbound

This paper cites Yun, Hitchin type moduli stacks in automorphic repre sentation theory.

Introduction to Shtukas and their moduli Yun, Hitchin type moduli stacks in automorphic repre sentation theory

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.322293Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a36bcf0e-2e32-4bd3-a31c-94b83b75a3ea · outbound

This paper cites Yun, Special cycles for Shtukas are closed.

Introduction to Shtukas and their moduli Yun, Special cycles for Shtukas are closed

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.303158Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6e019e43-9b78-44a5-bc33-76531b87ba04 · outbound

This paper cites Zhu, An introduction to aﬃne Grassmannians and the ge ometric Satake equivalence.

Introduction to Shtukas and their moduli Zhu, An introduction to aﬃne Grassmannians and the ge ometric Satake equivalence

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:56:33.286093Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a235df30-d17a-4dd0-8f62-dc4e84767cd3 · outbound

This paper cites Zhu, Coherent sheaves on the stack of Langlands param eters.

Introduction to Shtukas and their moduli Zhu, Coherent sheaves on the stack of Langlands param eters

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-12T19:56:33.053400Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f709ac4-fc5e-4a2a-beee-2066cd2b7b5d · outbound

This paper cites an unresolved cited work.

Introduction to Shtukas and their moduli Unresolved cited work

Reference 2018

Resolution: unresolved; raw_fallback, observed 2026-08-12T19:56:33.425770Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

No inbound Pith citation observations are available.