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Paper Citation Record · LEDGER

F-isocrystals of Higher Direct Images of $p$-Divisible Groups

As of 20 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2506.11736.

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

pith.paper-citation-record.v1
2506.11736 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:13:14.597939Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

26 of 26 outbound references displayed

  • verified exact2
  • verified fuzzy11
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 03355028-f79e-4e84-b20a-7004140a1637 · outbound

This paper cites Artin and B.

F-isocrystals of Higher Direct Images of $p$-Divisible Groups Artin and B

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:13:14.971544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:13:14.486043Z digest=sha256:7740f3541ad04b875d57570aaff647a925fc6936fb59b65c6944f98e7786f7f4

Observation beda1f4b-71e7-411e-8f54-4297440e7571 · outbound

This paper cites 2, 263–288.

F-isocrystals of Higher Direct Images of $p$-Divisible Groups 2, 263–288

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:13:14.958267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:13:14.491136Z digest=sha256:689ec313dfe4628df918e04de9fb1d301f1e1c9ed1d3635b3ae56f1869679975

Observation e3c48d89-d249-41da-8dd5-33f8e3a1f54e · outbound

This paper cites 930, Springer, 2006.

F-isocrystals of Higher Direct Images of $p$-Divisible Groups 930, Springer, 2006

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:13:14.946110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:13:14.494858Z digest=sha256:59a7f0d03e6dbbd85c1a04038bd871100df20e7be4c50db987f79fd438affa1f

Observation 7b0c2877-356c-4353-8f56-2580a2972a61 · outbound

This paper cites an unresolved cited work.

F-isocrystals of Higher Direct Images of $p$-Divisible Groups Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:13:14.932845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:13:14.499411Z digest=sha256:95574d7f218dadc0b9a8c54b7ed89733f9bf079080ddbab313823edc57a1e765

Observation 4e30dc0c-3a99-40b9-b7f8-90369c6c607a · outbound

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

F-isocrystals of Higher Direct Images of $p$-Divisible Groups Representability of cohomology of finite flat abelian group schemes

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-07T04:13:14.504292Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:13:14.504292Z digest=sha256:5137f516e9483c3596012a021dcb0c2e96ce064c44d0a7099c91a5127b360e04

Observation 176cb050-cbc8-4432-950f-f51f03fdf345 · outbound

This paper cites 1, 209–241.

F-isocrystals of Higher Direct Images of $p$-Divisible Groups 1, 209–241

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:13:14.919927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:13:14.509835Z digest=sha256:19b2258b9b7db4c477d37e7399f01e3ad30ef4945f920232d81ead70fafb1071

Observation c3e79bac-5dc2-4e85-9d25-9a30880da612 · outbound

This paper cites 2, 333–348 (en).

F-isocrystals of Higher Direct Images of $p$-Divisible Groups 2, 333–348 (en)

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:13:14.907096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:13:14.515031Z digest=sha256:e8299348294f3ecec1b35b16c4ed37beeae2fde9e0eb01afeca741b599ff46f1

Observation 71c82e55-f105-4e54-8559-3eb9a0a216e7 · outbound

This paper cites an unresolved cited work.

F-isocrystals of Higher Direct Images of $p$-Divisible Groups Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:13:14.894376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:13:14.519002Z digest=sha256:47a18d399dba4738bb99c9ad71aa89319893d5a4459ffcebcb30abb5f1e96546

Observation c73fccd7-3281-4824-a7be-b6e9e2c236ab · outbound

This paper cites On a theorem of Scholze-Weinstein.

F-isocrystals of Higher Direct Images of $p$-Divisible Groups On a theorem of Scholze-Weinstein

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T04:13:14.523082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:13:14.523082Z digest=sha256:b39916b5a6ea6f5c9fdd75d3d9c8e58c7be850538ae9555c852a666d36d4922f

Observation 1cce1982-fedc-4d0d-8d8c-8fd11eba32b6 · outbound

This paper cites an unresolved cited work.

F-isocrystals of Higher Direct Images of $p$-Divisible Groups Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:13:14.882564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:13:14.528248Z digest=sha256:041e4bd7b78de9e57316e8b9e6209a6027632af12c1402a5d798f6374aad3880

Observation 69dbbf84-bd77-476a-9470-1524871401f7 · outbound

This paper cites an unresolved cited work.

F-isocrystals of Higher Direct Images of $p$-Divisible Groups Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:13:14.869585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:13:14.532548Z digest=sha256:3142ac096ed76be674fa6cbf85e4b420960f5d1707a4d4087e7b389773990e37

Observation 62b346d6-ea10-4014-b8b6-a257332a6a95 · outbound

This paper cites 223, 269–293.

F-isocrystals of Higher Direct Images of $p$-Divisible Groups 223, 269–293

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:13:14.856839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:13:14.537275Z digest=sha256:104901d927ea059973cb69c0844dd828fb265e18b5056c355a9a443c3069ca79

Observation c086a0c2-4c16-4cf9-9a22-3348d7f8c0ac · outbound

This paper cites an unresolved cited work.

F-isocrystals of Higher Direct Images of $p$-Divisible Groups Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:13:14.844677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:13:14.541606Z digest=sha256:1f8ddd47f4d256357b41faaf5067ca1c8a87680812457d5c2848f60371a4d2e3

Observation 03b3682f-d1ed-4ddd-a98f-fd8632da27a4 · outbound

This paper cites an unresolved cited work.

F-isocrystals of Higher Direct Images of $p$-Divisible Groups Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:13:14.830949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:13:14.545969Z digest=sha256:99fc1a59b682a934e65e4541e6a00c3b1e582353ee2ca47c17b34263ea0f03ec

Observation 25503ffa-297a-4c93-b4d8-65b9bd56e1a2 · outbound

This paper cites On p-torsions of geometric Brauer groups.

F-isocrystals of Higher Direct Images of $p$-Divisible Groups On p-torsions of geometric Brauer groups

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-07T04:13:14.669767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:13:14.550229Z digest=sha256:051a32eebbed9bbf685629b59a53db53f1488efefacca507026e80d04341ce4a

Observation f16d33e3-4b75-425f-a1f5-bb8437858c1b · outbound

This paper cites an unresolved cited work.

F-isocrystals of Higher Direct Images of $p$-Divisible Groups Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:13:14.817473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:13:14.555234Z digest=sha256:3f616875bbc3d4eeb3fa2df8fe3a2483b9c04749c52228a74d4c4727ebc46e53

Observation 46cadfa3-6c15-4c97-99c9-bc470b6d8450 · outbound

This paper cites 264, Springer-Verlag, Berlin, Heidelberg, 1972.

F-isocrystals of Higher Direct Images of $p$-Divisible Groups 264, Springer-Verlag, Berlin, Heidelberg, 1972

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:13:14.804342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:13:14.559827Z digest=sha256:432c0c076981a6f561d2dad2d34a27ac48a639c557ad2ee09904fc0ef67c1979

Observation e47bfc77-6c1a-4c08-b538-da87e4f90e3c · outbound

This paper cites an unresolved cited work.

F-isocrystals of Higher Direct Images of $p$-Divisible Groups Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:13:14.791467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:13:14.563877Z digest=sha256:765712ab6c27cd92a1616952648e080e080a2c337fddd31c94dac28e67ac15e3

Observation 58629c7f-18ab-49d8-9716-4e69f9352ca6 · outbound

This paper cites Morrow, A Variational Tate Conjecture in crystalline cohomology , Journal of the European Mathematical Society 21 (2019), no.

F-isocrystals of Higher Direct Images of $p$-Divisible Groups Morrow, A Variational Tate Conjecture in crystalline cohomology , Journal of the European Mathematical Society 21 (2019), no

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:13:14.777840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:13:14.567980Z digest=sha256:bc0cbf04b1ac4c94d2634849f9e877d29021a746d7d0516a5add2ccbcfbd5f8b

Observation 89d3ccc3-d5d7-45b4-a094-86aeada3ad04 · outbound

This paper cites Nygaard and A.

F-isocrystals of Higher Direct Images of $p$-Divisible Groups Nygaard and A

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:13:14.762415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:13:14.572012Z digest=sha256:5536ab39db7a3dbc93d2ba4d5c95adfaa2099a956ec9bf067fae4c594b54e616

Observation 82c7eefb-f35b-4e15-84c7-9c71e38d48f3 · outbound

This paper cites Oda, The first de Rham cohomology group and Dieudonn´ e modules , Annales scientifiques de l’´Ecole Normale Sup´ erieure2 (1969), no.

F-isocrystals of Higher Direct Images of $p$-Divisible Groups Oda, The first de Rham cohomology group and Dieudonn´ e modules , Annales scientifiques de l’´Ecole Normale Sup´ erieure2 (1969), no

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:13:14.749630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:13:14.576322Z digest=sha256:3b2637103a0a3ebdab7ca92b4748ec34645c2d5a441ceab186ddabaaa6cd2ee6

Observation a2af8594-0d6b-4fab-974f-9fde417d06d1 · outbound

This paper cites an unresolved cited work.

F-isocrystals of Higher Direct Images of $p$-Divisible Groups Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:13:14.736320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:13:14.580559Z digest=sha256:bb87958eaafd850aa8814ec1ca021c290e99e53564857f501dd3668e3744a9cd

Observation 0d159b63-e4c8-457f-a358-b10e0132aaa2 · outbound

This paper cites Tate Duality In Positive Dimension Over Function Fields.

F-isocrystals of Higher Direct Images of $p$-Divisible Groups Tate Duality In Positive Dimension Over Function Fields

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-07T04:13:14.584880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:13:14.584880Z digest=sha256:2b4ff4712d7726b741682566f8be9aa565c869185fa8aea4e8e1555da5969c93

Observation 2f5c6b63-9bc3-434a-a651-70074cbd6870 · outbound

This paper cites 2, 145–237.

F-isocrystals of Higher Direct Images of $p$-Divisible Groups 2, 145–237

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:13:14.722851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:13:14.588956Z digest=sha256:849123fe8645bf25230f0e7a4c60bea98587109a32cf369d8c31abb681142732

Observation 91f617ae-42f9-4735-a071-4d7b6dd69ab3 · outbound

This paper cites an unresolved cited work.

F-isocrystals of Higher Direct Images of $p$-Divisible Groups Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:13:14.710110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:13:14.593450Z digest=sha256:4c457172dc45a89b01e6ec5aab771abd87fcf3dacb27d3d505baaaf39eb96d1e

Observation 686fb7a7-0420-48cf-b7b1-281f516d74d0 · outbound

This paper cites A comparison theorem for semi-abelian schemes over a smooth curve.

F-isocrystals of Higher Direct Images of $p$-Divisible Groups A comparison theorem for semi-abelian schemes over a smooth curve

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-07T04:13:14.637462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T04:13:14.597939Z digest=sha256:7657a404e607ba1fa81a4d1d5a7c5526fc188102e06fddf513b6bb6ff5d7ffc3

Pith citing papers

No inbound Pith citation observations are available.