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Paper Citation Record · LEDGER

An integral comparison of crystalline and de Rham cohomology

As of 16 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2507.17631.

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

pith.paper-citation-record.v1
2507.17631 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:58:11.105821Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

33 of 33 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9f85bb00-9830-42a8-be53-dfb842aa91cf · outbound

This paper cites Prismatic $F$-crystals and Wach modules.

An integral comparison of crystalline and de Rham cohomology Prismatic $F$-crystals and Wach modules

Reference 1

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation aa0a2c2d-0947-479b-9f90-50d07529c64d · outbound

This paper cites Berthelot, L.

An integral comparison of crystalline and de Rham cohomology Berthelot, L

Reference 2

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 446b3b5a-9090-4f6a-9a15-12ebdb489d36 · outbound

This paper cites Berthelot, Cohomologie cristalline des sch\' e mas de caract\' e ristique p>0 , Lecture Notes in Mathematics, Vol.

An integral comparison of crystalline and de Rham cohomology Berthelot, Cohomologie cristalline des sch\' e mas de caract\' e ristique p>0 , Lecture Notes in Mathematics, Vol

Reference 3

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Observation 439974b3-f9b0-4722-9e64-3a86b3259b18 · outbound

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

An integral comparison of crystalline and de Rham cohomology Bhatt, Prismatic F -gauges, 2023, unpublished course notes https://www.math.ias.edu/ bhatt/teaching/mat549f22/lectures.pdf

Reference 4

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation c73fca96-00c2-4773-bc46-d34b0abc9ddf · outbound

This paper cites Absolute prismatic cohomology.

An integral comparison of crystalline and de Rham cohomology Absolute prismatic cohomology

Reference 5

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T14:58:10.975320Z digest=sha256:8f91165fa6afe448b85811d8b24afb030048a25ecf09728e56f97271d2359980

Observation 1408e059-a093-441f-b665-56e4840e04e6 · outbound

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

An integral comparison of crystalline and de Rham cohomology The prismatization of $p$-adic formal schemes

Reference 6

Resolution
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no resolver link, observed 2026-08-06T14:58:10.980738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T14:58:10.980738Z digest=sha256:efac672b0e770239a9ba41b8608742b8f2ce3d49810abb53eb57790bcc51a0c5

Observation 4a0da1c0-bc96-4ae4-aa2d-16aec5115c28 · outbound

This paper cites Bhatt, M.

An integral comparison of crystalline and de Rham cohomology Bhatt, M

Reference 7

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation bf8a801c-2af0-4adf-818a-8fe137f9e785 · outbound

This paper cites Bhatt, M.

An integral comparison of crystalline and de Rham cohomology Bhatt, M

Reference 8

Resolution
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 437b9512-4243-402d-8e93-79d22c3f2a77 · outbound

This paper cites Berthelot and A.

An integral comparison of crystalline and de Rham cohomology Berthelot and A

Reference 9

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T14:58:10.995921Z digest=sha256:d2626f2e2785be8703ddf66db7e9148d05bc747ee2529256dc2408b5e70116c4

Observation d9bd7e95-e110-4c19-a739-62e7adcd4e47 · outbound

This paper cites Berthelot and A.

An integral comparison of crystalline and de Rham cohomology Berthelot and A

Reference 10

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation c1bf8dff-d5a2-4197-8180-0a097ca86ba9 · outbound

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

An integral comparison of crystalline and de Rham cohomology Breuil, Repr\' e sentations p -adiques semi-stables et transversalit\' e de G riffiths, Math

Reference 11

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 20198076-d345-42a9-9a49-2256e522b7b6 · outbound

This paper cites Bhatt and P.

An integral comparison of crystalline and de Rham cohomology Bhatt and P

Reference 12

Resolution
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 53ce9ba2-b15c-436e-a368-b8ec14612b64 · outbound

This paper cites Bhatt and P.

An integral comparison of crystalline and de Rham cohomology Bhatt and P

Reference 13

Resolution
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Observation 0e7dc302-6ce1-49c7-9649-8b376a5c4314 · outbound

This paper cites C esnavi c ius and T.

An integral comparison of crystalline and de Rham cohomology C esnavi c ius and T

Reference 14

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Observation 0404afe9-5f53-4e27-9514-a797b8a3894b · outbound

This paper cites an unresolved cited work.

An integral comparison of crystalline and de Rham cohomology Unresolved cited work

Reference 15

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 74d7d881-3257-403d-b39b-66dc09193164 · outbound

This paper cites On a notion of ring groupoid.

An integral comparison of crystalline and de Rham cohomology On a notion of ring groupoid

Reference 16

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Unavailable: canonical work link unavailable.

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Observation dd45ae67-4c93-4c17-9377-a9a822355311 · outbound

This paper cites Prismatization.

An integral comparison of crystalline and de Rham cohomology Prismatization

Reference 17

Resolution
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Unavailable: canonical work link unavailable.

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Observation 3edf2f7f-cdaa-400d-8868-1032a06241b1 · outbound

This paper cites Faltings, Integral crystalline cohomology over very ramified valuation rings, J.

An integral comparison of crystalline and de Rham cohomology Faltings, Integral crystalline cohomology over very ramified valuation rings, J

Reference 18

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 79b9fa75-551f-413b-a930-23ad5e35d49a · outbound

This paper cites Gabber and S.

An integral comparison of crystalline and de Rham cohomology Gabber and S

Reference 19

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 65c8f9e8-67e4-4cde-a0c6-b9f0aeefedf7 · outbound

This paper cites Guo and E.

An integral comparison of crystalline and de Rham cohomology Guo and E

Reference 20

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 16fa0356-3cd2-47b0-b82f-1c4be7365914 · outbound

This paper cites A stacky approach to $p$-adic Hodge theory.

An integral comparison of crystalline and de Rham cohomology A stacky approach to $p$-adic Hodge theory

Reference 21

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Unavailable: canonical work link unavailable.

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Observation 60012bd8-9d62-4968-85dc-13ccaefaf7ff · outbound

This paper cites Hyodo and K.

An integral comparison of crystalline and de Rham cohomology Hyodo and K

Reference 22

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 32d9270d-e983-4092-b47b-86613a6de1d8 · outbound

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An integral comparison of crystalline and de Rham cohomology Unresolved cited work

Reference 23

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 237d7afa-73d1-452a-8ff1-98a3458a3d11 · outbound

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An integral comparison of crystalline and de Rham cohomology Unresolved cited work

Reference 24

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Observation bfcb5dec-cb64-4454-ac66-b7f8aafe3eb6 · outbound

This paper cites Katz, Travaux de D work, in S\'eminaire B ourbaki, 24\`eme ann\'ee (1971/1972), vol.

An integral comparison of crystalline and de Rham cohomology Katz, Travaux de D work, in S\'eminaire B ourbaki, 24\`eme ann\'ee (1971/1972), vol

Reference 25

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation dc8f241f-b0f6-4c6d-986a-c7a6d5b95bb6 · outbound

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

An integral comparison of crystalline and de Rham cohomology Kisin, Crystalline representations and F -crystals, in Algebraic geometry and number theory, vol

Reference 26

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Observation 5454615d-d4f7-414f-9879-641315a12f86 · outbound

This paper cites Comparison of prismatic cohomology and derived de Rham cohomology.

An integral comparison of crystalline and de Rham cohomology Comparison of prismatic cohomology and derived de Rham cohomology

Reference 27

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 26706324-c850-461f-8847-9255a4ba7c65 · outbound

This paper cites Li and T.

An integral comparison of crystalline and de Rham cohomology Li and T

Reference 28

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation d03f60aa-f11d-45ee-8ef1-ca75dddd5339 · outbound

This paper cites Ogus, F -isocrystals and de R ham cohomology.

An integral comparison of crystalline and de Rham cohomology Ogus, F -isocrystals and de R ham cohomology

Reference 29

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation c6e996d0-6735-44bb-ab8b-2b6da361215b · outbound

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An integral comparison of crystalline and de Rham cohomology Unresolved cited work

Reference 30

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 04a3f1f5-7e71-418a-84c0-1839b3e2e840 · outbound

This paper cites Tsuji, p -adic \'etale cohomology and crystalline cohomology in the semi-stable reduction case, Invent.

An integral comparison of crystalline and de Rham cohomology Tsuji, p -adic \'etale cohomology and crystalline cohomology in the semi-stable reduction case, Invent

Reference 31

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation d7122a6a-7bcf-4374-a039-c5711949bdec · outbound

This paper cites , " * write output.state after.block = add.period write newline.

An integral comparison of crystalline and de Rham cohomology , " * write output.state after.block = add.period write newline

Reference 32

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 15205174-59fb-4c5b-b3dc-5b9d9e6e93b8 · outbound

This paper cites write newline.

An integral comparison of crystalline and de Rham cohomology write newline

Reference 33

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Pith citing papers

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