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Paper Citation Record · LEDGER

Introduction to Shtukas and their moduli

As of 14 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

Typed states for the displayed outbound observations.

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

measured 45 of 45 standing notices

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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

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

This paper cites Duke Math.

Introduction to Shtukas and their moduli Duke Math

Reference 2

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source=pdf_text observed=2026-08-12T19:56:32.815486Z digest=sha256:ca5a856b94e085954400f9164026a1def656ec7ab96e5679b8b7cb8e9bb0fd6a

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

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

This paper cites Deligne, G.

Introduction to Shtukas and their moduli Deligne, G

Reference 4

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source=pdf_text observed=2026-08-12T19:56:32.826686Z digest=sha256:c598e999c5e0c273d0bb624d6edcfdf72517cd80eb7fe64abd44ea4017a298a5

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

This paper cites Drinfeld, Elliptic modules.

Introduction to Shtukas and their moduli Drinfeld, Elliptic modules

Reference 5

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source=pdf_text observed=2026-08-12T19:56:32.832149Z digest=sha256:a6ee704e90fd02bf7ab6daa95edaf65c2cd19cdebc33de81ab4bbf7eb6383bbe

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

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source=pdf_text observed=2026-08-12T19:56:32.837449Z digest=sha256:91921137393257e9ce0dbcde8b49325d35a01f656caab4d91a7748a69fcfc743

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

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source=pdf_text observed=2026-08-12T19:56:32.845374Z digest=sha256:0f64a17b553633db2d546b96b02e6b5d89cd58c1caf4f7a5a6b8222ab2aaf764

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

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source=pdf_text observed=2026-08-12T19:56:32.851137Z digest=sha256:0e8e36e7ccff5fedce783bec357e17a45f2599d71b8a0ac1d59a827898372095

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

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source=pdf_text observed=2026-08-12T19:56:32.855741Z digest=sha256:23362ffdff825c5b0574d8663f7d947dd4f86b42196493eee4aad911c34ba86d

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T19:56:32.860803Z digest=sha256:01c7c5b5ec05f20f5555d6c9cddc11af799f7aee495f367ae82b051b8f85c71f

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

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source=pdf_text observed=2026-08-12T19:56:32.866093Z digest=sha256:d3539fbb1446698b964646206b200ef6acd159cce3b978688097123ac0d98ab6

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

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source=pdf_text observed=2026-08-12T19:56:32.871319Z digest=sha256:34681bbd8cc15f82f1ead473af2ec879b9e64f9d163c00233474d64e6ea09d4f

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

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source=pdf_text observed=2026-08-12T19:56:32.876100Z digest=sha256:ceb29d24ec07a26fa339ba0acb000808a89b40579d051a585cca5a027affc0d2

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

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source=pdf_text observed=2026-08-12T19:56:32.882764Z digest=sha256:d372639df0ec013494fa0c04649ed5ff8ee3e070c2d741d12433c02c83f3c2f7

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

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source=pdf_text observed=2026-08-12T19:56:32.889323Z digest=sha256:7bc1d66fbbeb771ecfdbe221c46e768f5cd09afc1e7f35f53d671488f8777ef2

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

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source=pdf_text observed=2026-08-12T19:56:32.894498Z digest=sha256:53a11d4846bed635de5430aeee4c175b87a14c968261229cd407ef97fe12f375

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

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source=pdf_text observed=2026-08-12T19:56:32.900580Z digest=sha256:bea093a12074c9273b731125ebb4f4ecbbdfb40a250e54a8cdc2ec0c09f40f4a

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

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source=pdf_text observed=2026-08-12T19:56:32.906341Z digest=sha256:fe2cd99131b9f0150a09f531c5ca5a738e26bea45697229bf8b0599794e04056

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

This paper cites Kudla, M.

Introduction to Shtukas and their moduli Kudla, M

Reference 19

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source=pdf_text observed=2026-08-12T19:56:32.913687Z digest=sha256:44b1009f47d96aeff07372f9303dd763f19734d5ee8da258521f60802ba30ea0

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

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source=pdf_text observed=2026-08-12T19:56:32.919798Z digest=sha256:045fa8402849f13d1e42c8b2ca7d0737bc08956e259b5b956ae216c075d75d24

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

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source=pdf_text observed=2026-08-12T19:56:32.924888Z digest=sha256:f63ac24c100f09d1985759f1c24b485e8cb51b9f139e8a99c8c43e77e500d9b0

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

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source=pdf_text observed=2026-08-12T19:56:32.929721Z digest=sha256:51efd1fdc8dbbefa24cd1d7ea31cd6f56a81f0d0a85754f97c0a5787a6c8697c

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

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source=pdf_text observed=2026-08-12T19:56:32.934546Z digest=sha256:5f23052dccc044155abbf619ce52a1b0214af181a2973511fa064b7b17c943fa

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

This paper cites Laumon, M.

Introduction to Shtukas and their moduli Laumon, M

Reference 24

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source=pdf_text observed=2026-08-12T19:56:32.939099Z digest=sha256:81ccfee422733a5bd11096bb08113fd995fdcf6ec5c2731f6dc92846a0d0b9ab

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

This paper cites Laumon, Drinfeld shtukas.

Introduction to Shtukas and their moduli Laumon, Drinfeld shtukas

Reference 25

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source=pdf_text observed=2026-08-12T19:56:32.944507Z digest=sha256:5947e7157a9d7d983421a9b3541b11d83076d46447df576ad5919b15a84be96e

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

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source=pdf_text observed=2026-08-12T19:56:32.950096Z digest=sha256:9e70e3835af69e09c7528b299e4eaa84e78f67fa09349f1eb603d32fa472ea81

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

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source=pdf_text observed=2026-08-12T19:56:32.954985Z digest=sha256:f124cc76429f66b8d7cb56ae816b64d4c0e050550c86b33823c17d686db796df

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

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source=pdf_text observed=2026-08-12T19:56:32.960021Z digest=sha256:ba30d3600916b31b58b1730b66035c6a4f91ce3b96a014a227c9436418a5dbc4

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

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

source=pdf_text observed=2026-08-12T19:56:32.964798Z digest=sha256:ceca75e01f6cd33ff7b1c67b0230603c3ebd7f6aad9991d224280220bd6b2d80

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

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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.

source=pdf_text observed=2026-08-12T19:56:32.969739Z digest=sha256:4e33f1c2acc453eb7ffe7b45ed1b425b61e7c5e63265c15955ac8c268508b1f9

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

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

source=pdf_text observed=2026-08-12T19:56:32.974437Z digest=sha256:fb4860aa0f34d6036a045c0ae15990c97e41800a620193f40f5ee9a9edb98386

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

This paper cites Pappas, M.

Introduction to Shtukas and their moduli Pappas, M

Reference 32

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source=pdf_text observed=2026-08-12T19:56:32.979676Z digest=sha256:a36b5ffd6efdc7ec757c3662dd149b3f8e57fd7dc1c41dd99c6bd63811387a60

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

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source=pdf_text observed=2026-08-12T19:56:32.984655Z digest=sha256:04bf469561f0a0fa02d144fec6804eff0e61fcdd6f1e30f94057fa67916321da

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

This paper cites Scholze, J.

Introduction to Shtukas and their moduli Scholze, J

Reference 34

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raw_fallback, observed 2026-08-12T19:56:33.458861Z

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

source=pdf_text observed=2026-08-12T19:56:32.989890Z digest=sha256:25240f004207899681bba564b4252d96a3c0b4b698aec7f3c2e1e9436138c8ea

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

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

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.

source=pdf_text observed=2026-08-12T19:56:32.995152Z digest=sha256:8edede004d26468589eab5ea4322f9538c4e6047bb9f39e30c6d48c0b01cc402

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

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.

source=pdf_text observed=2026-08-12T19:56:33.008929Z digest=sha256:95872f9d384913b6123190b25712959ffa2030081053196bfc0af43546b32929

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

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.

source=pdf_text observed=2026-08-12T19:56:33.014334Z digest=sha256:b0e76069fa6c6925aff7db54e10556d92b37b399e140f6233a22516abd3b3889

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

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.

source=pdf_text observed=2026-08-12T19:56:33.019871Z digest=sha256:e484611416a0124e1f83368c31040aa4fac3f3fc6bf8f91de6e877396b9173c4

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

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.

source=pdf_text observed=2026-08-12T19:56:33.025550Z digest=sha256:c47045c58f8a51059d03ef4de8a9367f9b8277195002caeeabb24f1dc25a080e

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

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.

source=pdf_text observed=2026-08-12T19:56:33.030330Z digest=sha256:41e85a6c1addfe333c3daf89231b6f68fdf885d5ee999449ff9e6e3f608fbbe5

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

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.

source=pdf_text observed=2026-08-12T19:56:33.036714Z digest=sha256:7d488abc3892aa59e9108ad5b72752e0220ea448c78e7befc002f1ef13537a33

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

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.

source=pdf_text observed=2026-08-12T19:56:33.041778Z digest=sha256:31bc5ffaf75da3105dacefb1622a16829b2ee9d31fa93eb702d3d504be8139d6

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

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.

source=pdf_text observed=2026-08-12T19:56:33.048271Z digest=sha256:4ca9705e923fa1532197746a410b0d4deb828120bc60b6f3a2a876c303f0fb16

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.

source=pdf_text observed=2026-08-12T19:56:33.053400Z digest=sha256:2f720e909a702f6e55e9944224c29e8a1ca71edaf3fc3cf1353f7672c73011df

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

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.

source=pdf_text observed=2026-08-12T19:56:33.003297Z digest=sha256:e3616986324ca9b24f732bf808305c18af2c7d24821cf0d505bec8287c487c2c

Pith citing papers

No inbound Pith citation observations are available.