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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.

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

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 2026-08-17T06:30:58.91139+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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External citation measurements

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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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T11:13:35.742826Z digest=sha256:15950fca51f438b67d7034e80bacf85610bebdeda1e5e1e08fe6e76685566c41

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=sha256:06d222850a8759aa6ab913e071c485e888577450397e58bac45752eaf3ce11a4

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-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T11:13:35.751853Z digest=sha256:89a2e24f0fddb76cb72b9216b64132d152b43c5d074674c8e994b7399bdf3754

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=sha256:7035bd320bb8dbba251f23f0a1b5d3b1c86bc9517e863155c0e14f2e6bb677af

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

This paper cites Bhatt, S.

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

Reference 5

Resolution
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source=arxiv_source observed=2026-08-16T11:13:35.759941Z digest=sha256:5371582571841aa819bf7a6fd3a8e7ce20ba86cb7eda3f8497e2707364a5158a

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=sha256:488c3a9f8d3b5935bfb3c9c815e135b0bad5b71d3938aaf741a2a4b75cbacdbc

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=sha256:30bf1cd9f021c16399903960c934e1b2bccfdebe4ecff764f0b758ff5e0ef140

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:c5857f7572f155a2966e57dfd4aa1324a15de15a7db1fc26d67f27270bbd4ecc

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:dbea8697eeb9a4749a95afe22eb51c524167e75f75588cb73b1834233888b0a9

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:e4525c56bedf5f50b3ec272a0f9a522ff496b15473129c64e0251e2bb07f723a

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:f2821a8503ef47e36cc56ac9bec35fcc21e181a0a1b372c30d71b752c29fe227

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

Resolution
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source=arxiv_source observed=2026-08-16T11:13:35.786802Z digest=sha256:2830cb9717bc6f6c1a2ebb43240abf02a99d3b2c7dffd1b9df49ec229a1312eb

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T11:13:35.789956Z digest=sha256:b94de91453e25aa8c67ccde6eb0d0f15d49125cb63c1285a9d9b480687e80d5b

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=sha256:7717d24748292ec4b02e22fc14a80acf97647ab49c34389b989911910fdcadc7

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=sha256:8b5d6c3f4a4a17489ad7dace7c03da5d6624461168c5a2853b0ea4a0b3334ffd

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=sha256:64b08a9b0f57bd0bf1812eba3776fdaea582f47c35f9fb211bc5c46742ab5616

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:e7792054c568e114bed5bea25c6d5e28f82eb261432648f7e284ff0158c91f13

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

Resolution
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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=arxiv_source observed=2026-08-16T11:13:35.866002Z digest=sha256:3c9cc3986844315fe1e9384e0fdf933eb7f520912e83396997bb556406fd33ed

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:f726cdfb81828ecdc06800949fc1bdc4ba6ba0197ac33d2a4e945e2649fcac2a

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

Resolution
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source=arxiv_source observed=2026-08-16T11:13:35.959672Z digest=sha256:2230b947a3b8edcc768d3ad013c8bd9fdbd3e83a0dbcc0df70bb05e65f0314c9

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

Resolution
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source=arxiv_source observed=2026-08-16T11:13:35.999296Z digest=sha256:d2216ccdbf3fb6ae37d3afd2ed34535b5d0f3bd5ee916f1e32ff457e0704452e

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

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=arxiv_source observed=2026-08-16T11:13:36.003179Z digest=sha256:7e17b43fdcde623ef5b8557ce1ef80a2363601e124b3e2fe4959229e3d6452fd

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T11:13:36.006548Z digest=sha256:48f3f25b503d2254e80e85f5a3b059fc3b06b94c680cd69be1de009909f09f58

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=sha256:64312aa2c4c1f719881cfa3d1479becf202dbadf7935451eb521b48b05c14676

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=sha256:9b45ee4fa2fb5cd262988826bf21c26dfef928a22e626585503deb9ff123ea65

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=sha256:072ac93d55f1f0b986433b6d8ba3010f1ed50b495f7156d92f0a8c6751ded36b

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T11:13:36.021879Z digest=sha256:9bc4e0eb39a8be64652392262e70a896c663dc114e3c4926004fe4e29f1d742e

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=sha256:1efe61b1012b010a6ec15a4c0cd9ec7866a1e891c219286b2bbe021fef7aafab

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

Resolution
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raw_fallback, observed 2026-08-16T11:13:36.842802Z

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

source=arxiv_source observed=2026-08-16T11:13:36.028471Z digest=sha256:efeeb14b03759811c6bddfeb867754bf06e743c39a5449e1903781694071bc58

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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T11:13:36.031409Z digest=sha256:6faaa27dced535778da4b5c4ba577520e1b4a5298f98ac56bd794ed5bbfbbfba

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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raw_fallback, observed 2026-08-16T11:13:36.815942Z

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=arxiv_source observed=2026-08-16T11:13:36.034567Z digest=sha256:d90d5976a0d916c63461088f2c7c8ef1635b34e6c2deef8609add3e56e62c4d7

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

Resolution
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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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T11:13:36.098504Z digest=sha256:35e186e758857ddb33777ade04f8a6e5e526e399bd7efc262abf702789e0b3cc

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T11:13:36.150451Z digest=sha256:86fdf3874af82f637810cabf251a1847b7bde6783600d45f11e4f4a4fab65f69

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T11:13:36.256144Z digest=sha256:01059b9adc091a290c3200dc585436bd2c392a137e99ce3578162aa478d264de

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

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=arxiv_source observed=2026-08-16T11:13:36.310613Z digest=sha256:0d71001d76efe9151af394736553dc7638ad490c65247aad179ed2ea440ddfed

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

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

source=arxiv_source observed=2026-08-16T11:13:36.371150Z digest=sha256:b486c1325183b0482d1ec7a044b602c51e6110ddf0a0cfa7203c4b4b1ad85174

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:a6563a559d1810d4b8f600801951d493f9014bdc3650f913ac2bb60607fbc349

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T11:13:36.378809Z digest=sha256:2338583f297ea411e8d0d4bbc460964fb7c0d461e10120ba56252e86ef549559

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T11:13:36.382282Z digest=sha256:36f8ef20f530f6de7732e6cd7453d57780e92c83219dca4131f0fbece8cc7dad

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T11:13:36.385872Z digest=sha256:8a5f19218995477ffb817ab507ff2fdf28867415e167365a11737f0928353376

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T11:13:36.389666Z digest=sha256:944ea4186852f8edca349362a2f8873bcf04c976cc57e8813d73d59392309558

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-16T11:13:36.394079Z digest=sha256:2bd12a673b70a20482f8651fb452c4b049b517509f39569603eda0f469bc0995

Pith citing papers

No inbound Pith citation observations are available.