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Paper Citation Record · LEDGER

An integral analogue of Fontaine's crystalline functor

As of 17 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2504.16282.

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pith.paper-citation-record.v1
2504.16282 v2

Coverage vector

measured 42 of 42 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-16T11:13:36.394079Z

measured 42 of 42 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

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Reference resolution

42 of 42 outbound references displayed

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  • verified fuzzy15
  • unresolved23
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Outbound references

Observation 4fb791a8-8cb9-4d33-8089-8fb79ed016b6 · outbound

This paper cites Ansch\" u tz and A.-C.

An integral analogue of Fontaine's crystalline functor Ansch\" u tz and A.-C

Reference 1

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-16T11:13:35.742826Z digest=sha256:f3ed3f3dca32f6a48fa0e548264f2eeb70703a38e83f7dc4154a499d6dc7ca76

Observation 9309c02d-4de0-4655-9cd3-0991e00e1c12 · outbound

This paper cites Youcis, Twisted crystalline and de Rham cohomology, 2025, in preparation.

An integral analogue of Fontaine's crystalline functor Youcis, Twisted crystalline and de Rham cohomology, 2025, in preparation

Reference 2

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source=arxiv_source observed=2026-08-16T11:13:35.747682Z digest=sha256:c76d16ac46c066f37be2213cbe1429975db618964470aff492a4d896ad82bd6d

Observation b8d62fcd-6e37-446f-84ae-500f9ef2955d · outbound

This paper cites Berthelot, L.

An integral analogue of Fontaine's crystalline functor Berthelot, L

Reference 3

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source=arxiv_source observed=2026-08-16T11:13:35.751853Z digest=sha256:6542fe2009fa42c35c585d6b1274d82dd030201889ad7f9980059262b377e664

Observation 2527fe4a-8fc0-4732-b1c9-573a215641d3 · outbound

This paper cites Bhatt, Prismatic F -gauges, 2023, unpublished course notes https://www.math.ias.edu/ bhatt/teaching/mat549f22/lectures.pdf.

An integral analogue of Fontaine's crystalline functor Bhatt, Prismatic F -gauges, 2023, unpublished course notes https://www.math.ias.edu/ bhatt/teaching/mat549f22/lectures.pdf

Reference 4

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source=arxiv_source observed=2026-08-16T11:13:35.756453Z digest=sha256:a66fce0e8591b870a512dd79c34e232716a39c4cae6b406aa37666da0182c647

Observation d7f8e545-0cdc-4ce0-bc7a-f4ade152b614 · outbound

This paper cites Bhatt, S.

An integral analogue of Fontaine's crystalline functor Bhatt, S

Reference 5

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source=arxiv_source observed=2026-08-16T11:13:35.759941Z digest=sha256:b132eb5efd05aeae02215b6a225da0bc4655a20d7f9c7d8552ffe9fc9e3e0963

Observation 1e5dc0c4-3a1c-42c2-a688-f40cb1e90b68 · outbound

This paper cites Absolute prismatic cohomology.

An integral analogue of Fontaine's crystalline functor Absolute prismatic cohomology

Reference 6

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source=arxiv_source observed=2026-08-16T11:13:35.763897Z digest=sha256:319242e518d3bdf17aaa0d679173ea313c64ce4486936744a58562b18cf50ca3

Observation 3e83e08d-bebc-467f-b081-d7c7efcafb1b · outbound

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

An integral analogue of Fontaine's crystalline functor The prismatization of $p$-adic formal schemes

Reference 7

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source=arxiv_source observed=2026-08-16T11:13:35.768610Z digest=sha256:2d4103c31d37aa3355c8c2e7cf825da9191c8e60b57265e187116414576e8fbc

Observation 83f838b8-925f-4308-800c-b434e1f0067d · outbound

This paper cites Bhatt, M.

An integral analogue of Fontaine's crystalline functor Bhatt, M

Reference 8

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source=arxiv_source observed=2026-08-16T11:13:35.772441Z digest=sha256:cea55b4814eec50bdd32c6b1eb181de099a66fe7fde8d1ebd201544200202c91

Observation 283baf4a-b1ca-43b5-9e95-0778703f45c4 · outbound

This paper cites Berthelot and A.

An integral analogue of Fontaine's crystalline functor Berthelot and A

Reference 9

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source=arxiv_source observed=2026-08-16T11:13:35.775624Z digest=sha256:8eefbd7f2ea62ebd56f6eed5248b1d6ec97361c82e42d8f03534fa39db98fae7

Observation 5a0116ec-d9a7-4205-8102-8017b9df600e · outbound

This paper cites Breuil, Repr\' e sentations p -adiques semi-stables et transversalit\' e de G riffiths, Math.

An integral analogue of Fontaine's crystalline functor Breuil, Repr\' e sentations p -adiques semi-stables et transversalit\' e de G riffiths, Math

Reference 10

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source=arxiv_source observed=2026-08-16T11:13:35.779476Z digest=sha256:58a65822c91a89d6883836a0e862e0e5d2c6dc91947849c21d5566fa4252c695

Observation 8829e61e-75fd-4224-8606-bcc3b540002e · outbound

This paper cites Bhatt and P.

An integral analogue of Fontaine's crystalline functor Bhatt and P

Reference 11

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source=arxiv_source observed=2026-08-16T11:13:35.782831Z digest=sha256:74379ab465838da830c22f6df0915d7751f402d1cbee3ab9429f86d5bdb92a1d

Observation d3337b83-d1e2-457d-bb78-eae10243c9e4 · outbound

This paper cites Bhatt and P.

An integral analogue of Fontaine's crystalline functor Bhatt and P

Reference 12

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source=arxiv_source observed=2026-08-16T11:13:35.786802Z digest=sha256:02fbdc271c271c849fde4508961166a72c121689571705dd0688fa64360c0d8d

Observation d5e18e8f-bbb1-4f03-af98-d94874adc508 · outbound

This paper cites an unresolved cited work.

An integral analogue of Fontaine's crystalline functor Unresolved cited work

Reference 13

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-16T11:13:35.789956Z digest=sha256:32909a35feaa8312565d187030114143084f6f737fff16ab8a0ceaf256b9a7a4

Observation d8d68545-7d49-4f4d-a2ab-91d14a7df0a4 · outbound

This paper cites an unresolved cited work.

An integral analogue of Fontaine's crystalline functor Unresolved cited work

Reference 14

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source=arxiv_source observed=2026-08-16T11:13:35.793490Z digest=sha256:98484ac335bf5566a5f33cc2dd6375ed3b3f7b6f2d9f2763380cbee0b0a57bc1

Observation 2f7d86b8-fb55-49d9-a279-42c8306a255d · outbound

This paper cites On a notion of ring groupoid.

An integral analogue of Fontaine's crystalline functor On a notion of ring groupoid

Reference 15

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source=arxiv_source observed=2026-08-16T11:13:35.797211Z digest=sha256:b95e13b461aaa8ed7be13e0ed1f72938f433fa4f946a325c24f925349ed585c4

Observation 02b01a11-7425-441b-bfed-e4e34be8194f · outbound

This paper cites Prismatization.

An integral analogue of Fontaine's crystalline functor Prismatization

Reference 16

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T11:13:35.801234Z digest=sha256:0d628d637f399f602cc6b34946c87b1d27275561780fdf2bd8bde3bae261738c

Observation cce0e7e9-7bde-4fc1-98db-3020e4d65bad · outbound

This paper cites Faltings, Crystalline cohomology and p -adic G alois-representations, in Algebraic analysis, geometry, and number theory ( B altimore, MD , 1988), pp.

An integral analogue of Fontaine's crystalline functor Faltings, Crystalline cohomology and p -adic G alois-representations, in Algebraic analysis, geometry, and number theory ( B altimore, MD , 1988), pp

Reference 17

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source=arxiv_source observed=2026-08-16T11:13:35.826585Z digest=sha256:36e6df7d7e8c5da8a6432ae8834ec569f2b19f3378cd5d327cc39cf15257f22c

Observation 11aaebdd-418d-4b30-8227-a0ce47c6ac14 · outbound

This paper cites Gao, Fontaine- L affaille modules and strongly divisible modules, Ann.

An integral analogue of Fontaine's crystalline functor Gao, Fontaine- L affaille modules and strongly divisible modules, Ann

Reference 18

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-16T11:13:35.866002Z digest=sha256:637651d78d6f1162dc715b57d29e3e78b56364e8e70809163836b15c21c6b490

Observation 787273b8-78f8-4cce-ae71-7c66ede251d5 · outbound

This paper cites Frobenius height of prismatic cohomology with coefficients.

An integral analogue of Fontaine's crystalline functor Frobenius height of prismatic cohomology with coefficients

Reference 19

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source=arxiv_source observed=2026-08-16T11:13:35.898342Z digest=sha256:57785efb3866d4b55356d5a8f8e67379c6683b3be7c4849d141ccc6b4fe3a010

Observation 6ce281d9-128d-4270-8fca-0d12d43d73c3 · outbound

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

An integral analogue of Fontaine's crystalline functor An algebraicity conjecture of Drinfeld and the moduli of $p$-divisible groups

Reference 20

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source=arxiv_source observed=2026-08-16T11:13:35.959672Z digest=sha256:8ccf8400467eea72d9c92f02d72979a2f356ab593b896b5c8f72012ee2618628

Observation fcfa623d-dbd0-44e4-b107-01e991079d2b · outbound

This paper cites Guo and E.

An integral analogue of Fontaine's crystalline functor Guo and E

Reference 21

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source=arxiv_source observed=2026-08-16T11:13:35.999296Z digest=sha256:420a8db6825edcc3947a46092e80c9378e63058912990ab568ea89f7faf32556

Observation 5846b5d9-7551-40e7-95af-5c1ee60c794f · outbound

This paper cites Fontaine-Laffaille Theory over Power Series Rings.

An integral analogue of Fontaine's crystalline functor Fontaine-Laffaille Theory over Power Series Rings

Reference 22

Resolution
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local_arxiv, observed 2026-08-16T11:13:36.604889Z

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source=arxiv_source observed=2026-08-16T11:13:36.003179Z digest=sha256:e34fba3f544a09ed0bc281ebe5a917999090610045250edcfc3a63612601bf94

Observation 978473a4-72ea-496f-aa60-50c795a323b6 · outbound

This paper cites Huber, \' E tale cohomology of rigid analytic varieties and adic spaces, Aspects of Mathematics, E30, Friedr.

An integral analogue of Fontaine's crystalline functor Huber, \' E tale cohomology of rigid analytic varieties and adic spaces, Aspects of Mathematics, E30, Friedr

Reference 23

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-16T11:13:36.006548Z digest=sha256:158f7f5b7fa8c8cc16e852c66dede4e77a4616e7522c95dc4707d711cec18bf7

Observation 16c2df3a-8f84-42d1-86f3-f624be815d60 · outbound

This paper cites A Tannakian framework for prismatic $F$-crystals.

An integral analogue of Fontaine's crystalline functor A Tannakian framework for prismatic $F$-crystals

Reference 24

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source=arxiv_source observed=2026-08-16T11:13:36.010994Z digest=sha256:f3386ef559d8dd50b1db41fd36cb56d5714595864ba9487070814433868e5d9c

Observation 403a4755-eb22-4466-8d55-2429211dbcc1 · outbound

This paper cites The prismatic realization functor for Shimura varieties of abelian type.

An integral analogue of Fontaine's crystalline functor The prismatic realization functor for Shimura varieties of abelian type

Reference 25

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source=arxiv_source observed=2026-08-16T11:13:36.014973Z digest=sha256:03ea42e1670b15cfb4e3688a7f06e4d5fb671aeb0edd6f6630edb25c9dd823ae

Observation bee4350f-846a-40e8-b0d3-055b636f6ee7 · outbound

This paper cites Prismatic $G$-displays and descent theory.

An integral analogue of Fontaine's crystalline functor Prismatic $G$-displays and descent theory

Reference 26

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source=arxiv_source observed=2026-08-16T11:13:36.018478Z digest=sha256:69ce8d6e2bb1469f9f48fb22798039332bf304ef260bd04dcfb66551a81a066f

Observation ce2f8ff6-ce1d-4f5a-836b-75daa96a285d · outbound

This paper cites an unresolved cited work.

An integral analogue of Fontaine's crystalline functor Unresolved cited work

Reference 27

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-16T11:13:36.021879Z digest=sha256:903d14696d82c7d994bf14c2263e7f77615837df9cad830a243326149f77b7c6

Observation 1e02e956-bf4c-43ee-80a4-bc20f0f0d17a · outbound

This paper cites Kiehl, Theorem A und T heorem B in der nichtarchimedischen F unktionentheorie, Invent.

An integral analogue of Fontaine's crystalline functor Kiehl, Theorem A und T heorem B in der nichtarchimedischen F unktionentheorie, Invent

Reference 28

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source=arxiv_source observed=2026-08-16T11:13:36.025281Z digest=sha256:4bc9711a28773cac85b9927e7d239a37f006cd65b2eb5f22b2f8db831f824b27

Observation 7e77cc09-8658-47bb-9881-ce8d971d256f · outbound

This paper cites Kim, The relative B reuil- K isin classification of p -divisible groups and finite flat group schemes, Int.

An integral analogue of Fontaine's crystalline functor Kim, The relative B reuil- K isin classification of p -divisible groups and finite flat group schemes, Int

Reference 29

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-16T11:13:36.028471Z digest=sha256:9ab11b0adfcdf1e6bf9a1a5dda24cef18df955ad55a9ab3f35491c4d9d41a1c6

Observation ee0952a1-c419-4cd4-bedb-7cb4d5f36411 · outbound

This paper cites Kisin, Crystalline representations and F -crystals, in Algebraic geometry and number theory, vol.

An integral analogue of Fontaine's crystalline functor Kisin, Crystalline representations and F -crystals, in Algebraic geometry and number theory, vol

Reference 30

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T11:13:36.031409Z digest=sha256:363473e55f48f04e5f99f7908b27af657bd52cd8c869adb382936ce652605f5e

Observation 7859cbcc-a572-4536-84fc-200a127602ca · outbound

This paper cites Kisin, Integral models for S himura varieties of abelian type, J.

An integral analogue of Fontaine's crystalline functor Kisin, Integral models for S himura varieties of abelian type, J

Reference 31

Resolution
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-16T11:13:36.034567Z digest=sha256:29fdeb5cffaf18298d95f929d99116b0f07a29ada23be8900b9995a2e24d3d3a

Observation 7dd0df58-bc21-468d-82c6-109055f37a8e · outbound

This paper cites Lau, Dieudonn\' e theory over semiperfect rings and perfectoid rings, Compos.

An integral analogue of Fontaine's crystalline functor Lau, Dieudonn\' e theory over semiperfect rings and perfectoid rings, Compos

Reference 32

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raw_fallback, observed 2026-08-16T11:13:36.804673Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-16T11:13:36.098504Z digest=sha256:a3c395c68579201a9b7267641201d8b5bd3e5b57a5be9eba27379814ee5b511d

Observation 96cfc77f-662e-45bf-bc8a-5978d75eae08 · outbound

This paper cites Li and T.

An integral analogue of Fontaine's crystalline functor Li and T

Reference 33

Resolution
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raw_fallback, observed 2026-08-16T11:13:36.792830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-16T11:13:36.150451Z digest=sha256:daf12da1af4b113281a0abcf08d7c75b687cb30787db43876fced34783953023

Observation 70b36c32-c18c-49e8-b2b5-9ba1c2e915b8 · outbound

This paper cites an unresolved cited work.

An integral analogue of Fontaine's crystalline functor Unresolved cited work

Reference 34

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-16T11:13:36.256144Z digest=sha256:1bc09621e6a3bbd3b1be03193f5bbcd4181c22aeceb4e7f793d23dc7cfa6bd84

Observation d1810c1e-836f-42a0-a969-4eaa1fc76d9d · outbound

This paper cites Filtered F-crystals on Shimura varieties of abelian type.

An integral analogue of Fontaine's crystalline functor Filtered F-crystals on Shimura varieties of abelian type

Reference 35

Resolution
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local_arxiv, observed 2026-08-16T11:13:36.463495Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-16T11:13:36.310613Z digest=sha256:b3ef7db193c625fd681c047a9382d5b74ff7f5ea251785ee4f4c5309975c74ec

Observation 55eb343a-1e0b-4d68-9cd8-449c8906e186 · outbound

This paper cites Li and F.

An integral analogue of Fontaine's crystalline functor Li and F

Reference 36

Resolution
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raw_fallback, observed 2026-08-16T11:13:36.769457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-16T11:13:36.371150Z digest=sha256:1c8fb4850ab241966f1b7dd73b7b46b358b4276f9867bc6d9f8b22509856d1b7

Observation f77033cf-1881-4845-b145-495f4d308ee4 · outbound

This paper cites an unresolved cited work.

An integral analogue of Fontaine's crystalline functor Unresolved cited work

Reference 37

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T11:13:36.375060Z digest=sha256:39f46f720df3c7051fd76099479dcf3d0f4d3a982e13eb889da3a1238b789228

Observation a1a2914b-30c3-4869-addd-9feddadfa51d · outbound

This paper cites Scholze and J.

An integral analogue of Fontaine's crystalline functor Scholze and J

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:13:36.750214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-16T11:13:36.378809Z digest=sha256:ec684204033b39d1aa4e59be51eab9ca7e4e320a73b1204f8a92ff1ae20e137b

Observation dc5b1ea6-5f88-47f3-abde-a9fedf894ad5 · outbound

This paper cites Tsuji, Crystalline-Representations and-Representations with Frobenius, in p-adic Hodge Theory, pp.

An integral analogue of Fontaine's crystalline functor Tsuji, Crystalline-Representations and-Representations with Frobenius, in p-adic Hodge Theory, pp

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:13:36.738956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-16T11:13:36.382282Z digest=sha256:f47c476ce678f4fe4e7533f6f908dc53da8c4c505ef4f2eeb5f589efbc257284

Observation 8a87cc89-94b4-4a0d-a46b-a512c4f3a2d4 · outbound

This paper cites Tan and J.

An integral analogue of Fontaine's crystalline functor Tan and J

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:13:36.727322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-16T11:13:36.385872Z digest=sha256:aedcd943ad288455d9c1b28aa7ff3d5d902523123dc8c6f17fb87dd590e30901

Observation d8d7aa20-b0ff-4de0-bda9-48ab86d3e6c5 · outbound

This paper cites Prismatic $F$-Gauges and Fontaine--Laffaille modules.

An integral analogue of Fontaine's crystalline functor Prismatic $F$-Gauges and Fontaine--Laffaille modules

Reference 41

Resolution
verified exact
local_arxiv, observed 2026-08-16T11:13:36.447390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-16T11:13:36.389666Z digest=sha256:d09014336f296ec059898286a66c86de55b5dc4c5e2761d259103487356aa42f

Observation 81aedb34-b7d4-4b25-bf10-0fd3e660a1e9 · outbound

This paper cites Divided prismatic Frobenius crystals of small height and the category $\mathcal{M}\mathcal{F}$.

An integral analogue of Fontaine's crystalline functor Divided prismatic Frobenius crystals of small height and the category $\mathcal{M}\mathcal{F}$

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-08-16T11:13:36.431735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-16T11:13:36.394079Z digest=sha256:b2695e3d20a82c0f4de90984a918d833745e446e71d84780620672c7a8f3306d

Pith citing papers

No inbound Pith citation observations are available.