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Paper Citation Record · LEDGER

Perfect $F$-gauges and finite flat group schemes

As of 18 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 2 inbound Pith citation observations for arXiv:2509.01573.

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

pith.paper-citation-record.v1
2509.01573 v1

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:37:22.660383Z

measured 50 of 50 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-10T18:08:27.893665Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T05:25:59.535685Z

Reference resolution

48 of 48 outbound references displayed

  • verified exact6
  • verified fuzzy30
  • unresolved12
  • parse uncertain0
  • malformed identifier0
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External citation measurements

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Outbound references

Observation f9879bc3-01e3-40bc-9d95-8aa9504e0569 · outbound

This paper cites Beauville-Laszlo gluing of algebraic spaces.

Perfect $F$-gauges and finite flat group schemes Beauville-Laszlo gluing of algebraic spaces

Reference 1

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Observation 8c7ff74a-a9a1-4b32-a8eb-1e1c2d24a51a · outbound

This paper cites Prismatic Dieudonné theory.

Perfect $F$-gauges and finite flat group schemes Prismatic Dieudonné theory

Reference 2

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Observation 6b2253a0-811c-4a2b-9284-f43b2c947ca2 · outbound

This paper cites Duality in the flat cohomology of curves.

Perfect $F$-gauges and finite flat group schemes Duality in the flat cohomology of curves

Reference 3

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Observation 0869bbd1-785c-4247-9fc1-8c7eac65c9c1 · outbound

This paper cites an unresolved cited work.

Perfect $F$-gauges and finite flat group schemes Unresolved cited work

Reference 4

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source=pdf_text observed=2026-08-05T12:37:19.822216Z digest=sha256:cf2f18126dc7d07d9d46620cf08652dfc6e52407ac46021ac90d34e858c5278b

Observation 283cff64-0a02-4ca9-9460-ac1ceccfbb56 · outbound

This paper cites Moduli Spaces of Nilpotent Displays.

Perfect $F$-gauges and finite flat group schemes Moduli Spaces of Nilpotent Displays

Reference 5

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Observation 627e79dd-1bce-4274-98cb-0215cb76e761 · outbound

This paper cites Théorie de Dieudonné cristalline.

Perfect $F$-gauges and finite flat group schemes Théorie de Dieudonné cristalline

Reference 6

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source=pdf_text observed=2026-08-05T12:37:19.998346Z digest=sha256:a384f592a56c15e3053ac7e80198bfc42f8bcd0c5685b93dd95e8be29b3b1be6

Observation eb8880d4-5cbe-43ff-ab13-684ea52c54a9 · outbound

This paper cites p-adic derived de Rham cohomology.

Perfect $F$-gauges and finite flat group schemes p-adic derived de Rham cohomology

Reference 7

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source=pdf_text observed=2026-08-05T12:37:20.107206Z digest=sha256:0aedf6d249db2fe401da754258633fab3306d34ad5bc3355672ee064ee68707e

Observation 454f034c-fda1-46f0-9e20-cff3cb167c91 · outbound

This paper cites Prismatic F-gauges.

Perfect $F$-gauges and finite flat group schemes Prismatic F-gauges

Reference 8

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source=pdf_text observed=2026-08-05T12:37:20.215681Z digest=sha256:173e42c2340be699df4163804df0d497c56632b486a7b32f029e0500378353dd

Observation f83ca268-6bf1-402c-882c-768d710df19e · outbound

This paper cites Tannaka duality revisited.

Perfect $F$-gauges and finite flat group schemes Tannaka duality revisited

Reference 9

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source=pdf_text observed=2026-08-05T12:37:20.291238Z digest=sha256:40702846c31afa060987129635d2f4b49df8a095b8c16ee3d79cd49f3d80cb10

Observation aaaff7c6-d423-4587-b642-a134d82964d1 · outbound

This paper cites Absolute prismatic cohomology.

Perfect $F$-gauges and finite flat group schemes Absolute prismatic cohomology

Reference 10

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source=pdf_text observed=2026-08-05T12:37:20.368979Z digest=sha256:c2b639e197d2f8497ac2b394dfcbf5ddd58f04a28841ed69200df719311a7bc2

Observation 6e209288-9ae4-45bc-8edb-7dff8261ab45 · outbound

This paper cites The prismatization of $p$-adic formal schemes.

Perfect $F$-gauges and finite flat group schemes The prismatization of $p$-adic formal schemes

Reference 11

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source=pdf_text observed=2026-08-05T12:37:20.415257Z digest=sha256:5bd0a0a2a94126787af0dca91fdbf56246262fd4087930cd38d8701daa9f574b

Observation c5889a2b-ef8e-468f-aaee-3748387aec4b · outbound

This paper cites Representability of cohomology of finite flat abelian group schemes.

Perfect $F$-gauges and finite flat group schemes Representability of cohomology of finite flat abelian group schemes

Reference 12

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source=pdf_text observed=2026-08-05T12:37:20.509242Z digest=sha256:0b0e15b37d0a095da74fabca9c0327700bb9fe0d6e4995156c9a84a10ec83c62

Observation 7660f27e-e6d5-4f89-b2a1-49a9e6430c55 · outbound

This paper cites Groupes p-divisibles, groupes finis et modules filtrés.

Perfect $F$-gauges and finite flat group schemes Groupes p-divisibles, groupes finis et modules filtrés

Reference 13

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source=pdf_text observed=2026-08-05T12:37:20.588625Z digest=sha256:89354514cedcb11075218fdad709dbf14d1d38884051cccf2aa886860ccee738

Observation 595ae2f5-5630-4792-989c-8e542e72bdf8 · outbound

This paper cites Dieudonn{é} crystals and Wach modules forp-divisible groups.

Perfect $F$-gauges and finite flat group schemes Dieudonn{é} crystals and Wach modules forp-divisible groups

Reference 14

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Observation ac0d23ea-d6f5-4a42-98e1-391d1e6f4e62 · outbound

This paper cites Purity for flat cohomology.

Perfect $F$-gauges and finite flat group schemes Purity for flat cohomology

Reference 15

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Observation 9357e6bc-1473-4c4b-ac2b-36a907735ff4 · outbound

This paper cites Finite group schemes over bases with low ramification.

Perfect $F$-gauges and finite flat group schemes Finite group schemes over bases with low ramification

Reference 16

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Observation 8a05e275-62ae-42d3-9b11-f6aff8babe56 · outbound

This paper cites Crystalline Dieudonné module theory via formal and rigid geometry.

Perfect $F$-gauges and finite flat group schemes Crystalline Dieudonné module theory via formal and rigid geometry

Reference 17

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Observation b94db808-5ee6-4709-9bcd-9828ae1c85fa · outbound

This paper cites Finite locally free group schemes in characteristicp and Dieudonné modules.

Perfect $F$-gauges and finite flat group schemes Finite locally free group schemes in characteristicp and Dieudonné modules

Reference 18

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Observation 0d0acf04-7d15-45d3-a590-2a1fc0417543 · outbound

This paper cites Prismatization.

Perfect $F$-gauges and finite flat group schemes Prismatization

Reference 19

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source=pdf_text observed=2026-08-05T12:37:21.204946Z digest=sha256:1020385e11dc877207ff344212f0522accbfbf5fc4b0faa5308b21794519c345

Observation 7d8584c3-5bcf-4ac4-acf1-47dbb08437fb · outbound

This paper cites Cohomology theory of Abelian groups and homotopy theory. I.

Perfect $F$-gauges and finite flat group schemes Cohomology theory of Abelian groups and homotopy theory. I

Reference 20

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source=pdf_text observed=2026-08-05T12:37:21.315635Z digest=sha256:554dcae12cea423daee4207f2ac83e75d3c5efa6bccee351039b28511cf7471a

Observation afb3f9ec-73c8-4507-a4ae-bc630d484c8e · outbound

This paper cites Group Schemes with Strict O-action.

Perfect $F$-gauges and finite flat group schemes Group Schemes with Strict O-action

Reference 21

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source=pdf_text observed=2026-08-05T12:37:21.410041Z digest=sha256:d5be141c5e830793489ab215370f3a23e0c1b75f2735d8e99853d2079f221fc7

Observation abee6831-2dfe-47ef-8a53-4367d82c55cc · outbound

This paper cites Frobenius gauges and a new theory ofp-torsion sheaves in character- istic p.

Perfect $F$-gauges and finite flat group schemes Frobenius gauges and a new theory ofp-torsion sheaves in character- istic p

Reference 22

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Observation 97b9e2e4-87a0-4bfb-89e1-1c91a7ecd30d · outbound

This paper cites An algebraicity conjecture of Drinfeld and the moduli of $p$-divisible groups.

Perfect $F$-gauges and finite flat group schemes An algebraicity conjecture of Drinfeld and the moduli of $p$-divisible groups

Reference 23

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source=pdf_text observed=2026-08-05T12:37:21.668317Z digest=sha256:454d458ae2460accb34b0bf4cbb32f27f4351a53e392df2e3cf8cad33263e514

Observation 765925a4-a871-41b6-a95f-76907e2caea4 · outbound

This paper cites Letter to L.

Perfect $F$-gauges and finite flat group schemes Letter to L

Reference 24

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Observation fe353560-69e3-4403-9bc0-e595f7f8e865 · outbound

This paper cites Frobenius height of prismatic cohomology with coefficients.

Perfect $F$-gauges and finite flat group schemes Frobenius height of prismatic cohomology with coefficients

Reference 25

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source=pdf_text observed=2026-08-05T12:37:21.898960Z digest=sha256:49e69477ccacc2f8e015382ecbd60b71d34e67a628e5dbadbffb19890dc0843f

Observation 379b22be-f5dc-450d-981b-f5f67f7e29f2 · outbound

This paper cites Mapping stacks and categorical notions of properness.

Perfect $F$-gauges and finite flat group schemes Mapping stacks and categorical notions of properness

Reference 26

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source=pdf_text observed=2026-08-05T12:37:22.078913Z digest=sha256:82396933b6a9de83c2a6db2e1d3220576c767c0406befb186cfc60f1b8df34d3

Observation 3302723d-5d14-4150-9eaf-407829276d0f · outbound

This paper cites Derived $\delta$-Rings and Relative Prismatic Cohomology.

Perfect $F$-gauges and finite flat group schemes Derived $\delta$-Rings and Relative Prismatic Cohomology

Reference 27

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source=pdf_text observed=2026-08-05T12:37:22.263096Z digest=sha256:871cd91e07307732d13aebc84be8254bd04ae15ab55fdeba1f4eb91581ac20d8

Observation 685ece98-c7ce-4ec2-b1dd-91d0c1c3bb58 · outbound

This paper cites Comparison theorems.

Perfect $F$-gauges and finite flat group schemes Comparison theorems

Reference 28

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Observation ccadae3f-905e-46ea-8d10-87e9a05a9b02 · outbound

This paper cites Déformations de groupes de Barsotti-Tate (d’après A. Grothendieck).

Perfect $F$-gauges and finite flat group schemes Déformations de groupes de Barsotti-Tate (d’après A. Grothendieck)

Reference 29

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source=pdf_text observed=2026-08-05T12:37:22.484617Z digest=sha256:310a0c93aa73121e1993f9ab06aa821787b1920658805f636f43375208b3c096

Observation 764064f9-5181-4e3d-a9d6-a23145d41fa7 · outbound

This paper cites Revisiting deformations of truncated Barsotti-Tate groups.

Perfect $F$-gauges and finite flat group schemes Revisiting deformations of truncated Barsotti-Tate groups

Reference 30

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source=pdf_text observed=2026-08-05T12:37:22.598108Z digest=sha256:a3bef694ae6dc229f63230dac797460513c35c0a0c0cb6f6c6f1374862adce44

Observation fd899850-0abc-45e0-be65-3ac3ad571111 · outbound

This paper cites CrystallinerepresentationsandF-crystals.

Perfect $F$-gauges and finite flat group schemes CrystallinerepresentationsandF-crystals

Reference 31

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source=pdf_text observed=2026-08-05T12:37:22.604262Z digest=sha256:06429ab9e9dc7e12483a65f332f69622f4f855c3dff8852f4700932f1cebb4c4

Observation e104185c-570c-4858-aeb4-d402b90bd152 · outbound

This paper cites Dieudonné theory over semiperfect rings and perfectoid rings.

Perfect $F$-gauges and finite flat group schemes Dieudonné theory over semiperfect rings and perfectoid rings

Reference 32

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source=pdf_text observed=2026-08-05T12:37:22.607550Z digest=sha256:2bb6321b3e24189b31f7a07bacde18572e297d4ef1319a0ff790662042d77fe6

Observation 00d43419-c45c-4a98-804f-27510976508f · outbound

This paper cites Divided Dieudonn\'e crystals.

Perfect $F$-gauges and finite flat group schemes Divided Dieudonn\'e crystals

Reference 33

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source=pdf_text observed=2026-08-05T12:37:22.610856Z digest=sha256:7c772fb21c6f6cfa03219f9613967aa1b53671ce894a0c53d3f2ce4ac6a285d2

Observation 7e0c78b6-69db-49a6-a0e2-e52b5babf2b1 · outbound

This paper cites Frames and finite group schemes over complete regular local rings.

Perfect $F$-gauges and finite flat group schemes Frames and finite group schemes over complete regular local rings

Reference 34

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source=pdf_text observed=2026-08-05T12:37:22.614406Z digest=sha256:8c6a897b8b60549d8efbec1fff7dfc6f55c22b28ced80ef7c973784d0b8e794e

Observation 0065956e-9728-4a53-af9d-18d2401c8b2e · outbound

This paper cites Higher frames and G-displays.

Perfect $F$-gauges and finite flat group schemes Higher frames and G-displays

Reference 35

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source=pdf_text observed=2026-08-05T12:37:22.618218Z digest=sha256:58d8763f3172bb4db40ea81e1ba8efc4ed4b867db78be28b6711ed974bf15130

Observation c0e2e604-ed19-4d02-aa36-359aee0dae93 · outbound

This paper cites Relations between Dieudonné displays and crystalline Dieudonné theory.

Perfect $F$-gauges and finite flat group schemes Relations between Dieudonné displays and crystalline Dieudonné theory

Reference 36

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raw_fallback, observed 2026-08-05T12:37:23.113353Z

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source=pdf_text observed=2026-08-05T12:37:22.621716Z digest=sha256:7b07ba6a082d7f795901bb8bc91eded35371d28acd332f9ce4eb43603ba58f2d

Observation a23648cf-b0f5-4a21-a2dc-0a1085d8a1f9 · outbound

This paper cites Smoothness of the truncated display functor.

Perfect $F$-gauges and finite flat group schemes Smoothness of the truncated display functor

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:37:23.102277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T12:37:22.625200Z digest=sha256:ac044064ffb440d6a80df3a2e9f031ed0b278f82d54ed7b21e34d32b08671aff

Observation ee6a8830-3274-41f8-9198-68dbc0a76808 · outbound

This paper cites p-isogenies with G-structure and their applications.

Perfect $F$-gauges and finite flat group schemes p-isogenies with G-structure and their applications

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-05T12:37:22.628494Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:37:22.628494Z digest=sha256:c2e43578d7b3c5e9c8cddd703890da9e39a5606049294fce46ea34cb693cface

Observation 5bba8c88-e01b-4886-a846-f40d26ae49c3 · outbound

This paper cites On endomorphisms of the de Rham cohomology functor.

Perfect $F$-gauges and finite flat group schemes On endomorphisms of the de Rham cohomology functor

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:37:23.083413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T12:37:22.631566Z digest=sha256:7206099c976d33b61f873f888d61417713becdd5db3724c6a78f083909d8710a

Observation 863b723a-8863-4b77-b194-e9c497356d06 · outbound

This paper cites Derived algebraic geometry.

Perfect $F$-gauges and finite flat group schemes Derived algebraic geometry

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:37:23.072189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T12:37:22.635021Z digest=sha256:8652ab7c40c05a7ad911a4daca88d86c4c8e65495f4569e098572adf02e5a441

Observation 88ac8ccb-2874-4e35-ad1a-2df6f3448a33 · outbound

This paper cites The crystals associated to Barsotti-Tate groups: with applications to abelian schemes.

Perfect $F$-gauges and finite flat group schemes The crystals associated to Barsotti-Tate groups: with applications to abelian schemes

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:37:23.061122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T12:37:22.638623Z digest=sha256:a4d83a7fe24265176bb72907debaa4c87275eaafd4523110b110cc099382c362

Observation 730ef9f2-21c3-4b04-b9f0-16854cfe319c · outbound

This paper cites Dieudonné theory via cohomology of classifying stacks.

Perfect $F$-gauges and finite flat group schemes Dieudonné theory via cohomology of classifying stacks

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:37:23.049705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T12:37:22.641554Z digest=sha256:b9f0a60997985b3bff40bd8b0ce0e74a8562b7d2884a5f7e0cac106aa4d5e168

Observation 33f93b90-f4fb-461d-9f0f-dd07225ab21f · outbound

This paper cites DieudonnétheoryviacohomologyofclassifyingstacksII.

Perfect $F$-gauges and finite flat group schemes DieudonnétheoryviacohomologyofclassifyingstacksII

Reference 43

Resolution
verified exact
raw_fallback, observed 2026-08-05T12:37:22.863127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T12:37:22.644613Z digest=sha256:07b2261ebea0c08580356882305139c25983af1073cd9d0849bbba3de1b03e03

Observation 326ff0d0-7252-4e2b-ac0f-03c1000f31c5 · outbound

This paper cites F-zips with additional structure.

Perfect $F$-gauges and finite flat group schemes F-zips with additional structure

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:37:23.037866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T12:37:22.647781Z digest=sha256:c55b308a04359ed276c786edca326c2c8292f4dbc7e9a8ab11902a447f7e3029

Observation c2c08b49-e8a1-4bbb-a90e-f368f7ca2583 · outbound

This paper cites The Stacks project.

Perfect $F$-gauges and finite flat group schemes The Stacks project

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:37:23.026785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T12:37:22.650833Z digest=sha256:741409993d79bcb01021ee7c6e7ba45470d9cf078c3f7b5c74b1bba6dfe2802e

Observation bbd789a2-97ad-4d48-8e24-e714d8333848 · outbound

This paper cites Purity results forp-divisible groups and abelian schemes over regular bases of mixed characteristic.

Perfect $F$-gauges and finite flat group schemes Purity results forp-divisible groups and abelian schemes over regular bases of mixed characteristic

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:37:23.015463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T12:37:22.654047Z digest=sha256:830572858654d98f57db6986da10eec2e190a1524e63a7e6925853e38943a3ac

Observation 342bbb98-eaf3-4728-a47a-38355ff69342 · outbound

This paper cites The display of a formal p-divisible group.

Perfect $F$-gauges and finite flat group schemes The display of a formal p-divisible group

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:37:23.003999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T12:37:22.657420Z digest=sha256:fb2b440c2b4472e955df7eade7681ceb20b8f4e3cec5ec613baecfc999cce6e2

Observation 089bfb52-1462-4c6c-8633-7e3c3573e882 · outbound

This paper cites Windows for displays ofp-divisible groups.

Perfect $F$-gauges and finite flat group schemes Windows for displays ofp-divisible groups

Reference 48

Resolution
verified exact
doi, observed 2026-08-05T12:37:22.692488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T12:37:22.660383Z digest=sha256:4c0ea507fdf629140afc0852a41dc63d135d3614d980cf38d2c0c70697a74f28

Pith citing papers

Observation 39062f96-7f3c-4034-b236-08f859ee7165 · inbound

On canonicity for integral models of Shimura varieties with hyperspecial level cites this paper.

On canonicity for integral models of Shimura varieties with hyperspecial level Perfect $F$-gauges and finite flat group schemes

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-11T05:25:59.539139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-10T18:08:27.893665Z digest=sha256:199ded034bcbbf2ec90af4cf17846bbef2f9f3a4b8fb3fcfb885223cd64cea7c

Observation efbc465b-ac7c-4fb7-83d6-dcec73686ebf · inbound

Height 1 Group Schemes and Prismatic F-Gauges cites this paper.

Height 1 Group Schemes and Prismatic F-Gauges Perfect $F$-gauges and finite flat group schemes

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-05-10T07:47:12.856849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-10T07:38:41.875023Z digest=sha256:60e2d275987aa5a78f9d70e2ee0770ce20ec64da7a1585e40c32c89c9b2a42b5