Paper Citation Record · LEDGER

An introduction to p-adic period rings

As of 19 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:1908.08424.

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pith.paper-citation-record.v1
1908.08424 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:47:15.750034Z

measured 43 of 43 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

43 of 43 outbound references displayed

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External citation measurements

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Outbound references

Observation a1b24cfd-e8ab-41e5-920a-250af352639b · outbound

This paper cites Andreatta, R.

An introduction to p-adic period rings Andreatta, R

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.450779Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c2714be4-9a67-41cb-9fbc-c305e61b6525 · outbound

This paper cites Ax, Zeros of polynomials over local ﬁelds , J.

An introduction to p-adic period rings Ax, Zeros of polynomials over local ﬁelds , J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.434899Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 98b0b942-5323-4f00-a532-4e4490c823e0 · outbound

This paper cites Berger , ´Equations diff´ erentiellesp-adiques et (ϕ,N )-modules ﬁltr´ es, Ast´ erisque319 (2008), 13–38.

An introduction to p-adic period rings Berger , ´Equations diff´ erentiellesp-adiques et (ϕ,N )-modules ﬁltr´ es, Ast´ erisque319 (2008), 13–38

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.419800Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0ea2f925-693b-4e83-8fe8-241ae7ec5fa1 · outbound

This paper cites Berger , P.

An introduction to p-adic period rings Berger , P

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.404390Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ceb49110-8531-4f67-ad7a-b6b0ca9a10c3 · outbound

This paper cites Berthelot, Cohomologie cristalline des sch´ emas de caract´ eristiquep, Lecture notes in math.

An introduction to p-adic period rings Berthelot, Cohomologie cristalline des sch´ emas de caract´ eristiquep, Lecture notes in math

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.389626Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation db480382-40c5-4f83-902e-009a2abc1be5 · outbound

This paper cites Berthelot, Alt´ erations des vari´ et´ es alg´ ebriques (d’apr` es A.J.

An introduction to p-adic period rings Berthelot, Alt´ erations des vari´ et´ es alg´ ebriques (d’apr` es A.J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.373636Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cbe8fb6c-add9-422e-80a6-3a6a1331c66b · outbound

This paper cites Berthelot, L.

An introduction to p-adic period rings Berthelot, L

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.358175Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5f511a24-01d1-40fc-9923-69d8b6eff5cf · outbound

This paper cites Berthelot, A.

An introduction to p-adic period rings Berthelot, A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.342662Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 24dd9a7b-5fdf-4a8a-8404-1f1da45a828d · outbound

This paper cites Brinon, Filtered (ϕ,N )-modules and semi-stable representations , this volume.

An introduction to p-adic period rings Brinon, Filtered (ϕ,N )-modules and semi-stable representations , this volume

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.326360Z

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Observation 182d56f0-7d01-40ff-a506-4e5ee4436890 · outbound

This paper cites Colmez, Une construction de BdR, Rend.

An introduction to p-adic period rings Colmez, Une construction de BdR, Rend

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.310752Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 516880f7-38a4-471c-9750-485dd3c66274 · outbound

This paper cites Colmez and J.-M.

An introduction to p-adic period rings Colmez and J.-M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.295932Z

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Observation 52ace83a-e396-46a4-8880-eb0dfbd35c6a · outbound

This paper cites Conrad, Finite group schemes over bases with low ramiﬁcation , Compositio Math.

An introduction to p-adic period rings Conrad, Finite group schemes over bases with low ramiﬁcation , Compositio Math

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.281192Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1e3ad8f9-4df2-40a5-a83c-09a17d3d056c · outbound

This paper cites Demazure, Lectures on p-divisible groups , LNM 302 (1972).

An introduction to p-adic period rings Demazure, Lectures on p-divisible groups , LNM 302 (1972)

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.265185Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2f5ff563-4de6-4f93-aa40-4fd8dc1eca4c · outbound

This paper cites Emerton, Local-global compatibility in the p-adic Langlands programme for GL 2/Q, preprint (2011).

An introduction to p-adic period rings Emerton, Local-global compatibility in the p-adic Langlands programme for GL 2/Q, preprint (2011)

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.249878Z

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Observation 23f9f0b4-baa5-482b-a7ad-165c6a88f832 · outbound

This paper cites Faltings, p-adic Hodge theory , J.

An introduction to p-adic period rings Faltings, p-adic Hodge theory , J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.233898Z

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Observation 9d8c52de-cfbb-4a75-8d92-11bda04a98f5 · outbound

This paper cites Faltings, Crystalline cohomology andp-adic Galois-representations, in Algebraic analysis, geometry and number theory (Baltimore, MD, 1988), 25–80.

An introduction to p-adic period rings Faltings, Crystalline cohomology andp-adic Galois-representations, in Algebraic analysis, geometry and number theory (Baltimore, MD, 1988), 25–80

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.218021Z

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Observation 83cfe2a0-c5f4-44e0-9191-004945fa3aad · outbound

This paper cites Fargues, J.-M.

An introduction to p-adic period rings Fargues, J.-M

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.202656Z

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Observation 2822b189-ea46-4c6a-8424-5e13677edd65 · outbound

This paper cites Fontaine, Groupesp-divisibles sur les corps locaux , Ast´ erisque47–48 (1977).

An introduction to p-adic period rings Fontaine, Groupesp-divisibles sur les corps locaux , Ast´ erisque47–48 (1977)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.186213Z

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Observation 389d89e8-a3d7-44a7-9b37-9a363cc515b3 · outbound

This paper cites Fontaine, Modules galoisiens, modules ﬁltr´ es et anneaux de Barsotti -T ate, in Journ´ ees de G´ eom´ etrie Alg´ ebrique de Rennes, Ast´ erisque65 (1979) , 3–80.

An introduction to p-adic period rings Fontaine, Modules galoisiens, modules ﬁltr´ es et anneaux de Barsotti -T ate, in Journ´ ees de G´ eom´ etrie Alg´ ebrique de Rennes, Ast´ erisque65 (1979) , 3–80

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.169670Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c7a582b5-ca13-43cf-8829-f4bb39e4856c · outbound

This paper cites Fontaine, Formes diff´ erentielles et modules de T ate des vari´ et´ es ab´ eliennes sur les corps locaux, Invent.

An introduction to p-adic period rings Fontaine, Formes diff´ erentielles et modules de T ate des vari´ et´ es ab´ eliennes sur les corps locaux, Invent

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.153540Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 78811db1-d8dc-417c-be90-db9a6ace6e4a · outbound

This paper cites Fontaine, P´ eriodesp-adiques, Ast´ erisque223 (1994).

An introduction to p-adic period rings Fontaine, P´ eriodesp-adiques, Ast´ erisque223 (1994)

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.138459Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 356636f5-280e-4219-acd7-fe113aeb3444 · outbound

This paper cites Fontaine, Arithm´ etique des repr´ esentations galoisiennesp-adiques, Ast´ erisque297 (2004), 1– 115.

An introduction to p-adic period rings Fontaine, Arithm´ etique des repr´ esentations galoisiennesp-adiques, Ast´ erisque297 (2004), 1– 115

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.122890Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f8712b9f-7b2d-452e-9281-d4a18e39790b · outbound

This paper cites Fontaine, W.

An introduction to p-adic period rings Fontaine, W

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.104962Z

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Observation 573e35ad-e9b4-4df5-9794-a4b6d3ccc45d · outbound

This paper cites Fontaine, B.

An introduction to p-adic period rings Fontaine, B

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.087830Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6382c1c6-ccab-45ca-a0e8-b8e8bedb4e55 · outbound

This paper cites Freixas i Montplet, Hodge–T ate decomposition, this volume.

An introduction to p-adic period rings Freixas i Montplet, Hodge–T ate decomposition, this volume

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.071806Z

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Observation ed204032-4471-4358-b047-b1443fecc153 · outbound

This paper cites Grothendieck, Groupes de Barsotti-Tate et cristaux , Actes du Congr` es International des Math´ ematiciens de Nice (1970), p.

An introduction to p-adic period rings Grothendieck, Groupes de Barsotti-Tate et cristaux , Actes du Congr` es International des Math´ ematiciens de Nice (1970), p

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.055916Z

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Observation 28b5f8a3-c0bf-4780-9895-be3ea83edc66 · outbound

This paper cites Hyodo, K.

An introduction to p-adic period rings Hyodo, K

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.039867Z

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Observation 06d6ad6e-997a-45f6-a15e-cf053b59146a · outbound

This paper cites de Jong Smoothness, semi-stability and alterations , Inst.

An introduction to p-adic period rings de Jong Smoothness, semi-stability and alterations , Inst

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:16.024829Z

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Observation f603cc54-b0f9-433a-9f2a-07c6cafdecb5 · outbound

This paper cites de Jong Families of curves and alterations , Ann.

An introduction to p-adic period rings de Jong Families of curves and alterations , Ann

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-14T11:47:15.685021Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a052a308-a4da-408b-90e4-abce5e5b9d04 · outbound

This paper cites Kato Logarithmic structure of Fontaine-Illusie , Algebraic, Analysis, Geometry and Number Theory , John Hopkins University Press (1989), 191–224.

An introduction to p-adic period rings Kato Logarithmic structure of Fontaine-Illusie , Algebraic, Analysis, Geometry and Number Theory , John Hopkins University Press (1989), 191–224

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:15.998056Z

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Observation 7b95589d-edab-47a3-863a-daa63751ea0d · outbound

This paper cites Kisin, Crystalline representations andF -crystals, Algebraic geometry and number theory , Progress in Mathematics, 253 (2006), 459–496.

An introduction to p-adic period rings Kisin, Crystalline representations andF -crystals, Algebraic geometry and number theory , Progress in Mathematics, 253 (2006), 459–496

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:15.983226Z

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Observation c5954caf-35a7-44d8-b029-4bf49017692d · outbound

This paper cites Kisin, The Fontaine-Mazur conjecture for GL 2, J.

An introduction to p-adic period rings Kisin, The Fontaine-Mazur conjecture for GL 2, J

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:15.967980Z

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Observation c2346ed4-2def-4499-b49e-e63e2219857e · outbound

This paper cites Lazard, Les z´ eros des fonctions analytiques d’une variable sur un corps valu´ e complet, Inst.

An introduction to p-adic period rings Lazard, Les z´ eros des fonctions analytiques d’une variable sur un corps valu´ e complet, Inst

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:15.953161Z

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Observation 006e8f1a-97f3-481b-8a5e-0e4658e8a30b · outbound

This paper cites Le Borgne, Optimisation du th´ eor` eme d’Ax–Sen–T ate et application ` a un calcul de cohomologie galoisiennep-adique, Ann.

An introduction to p-adic period rings Le Borgne, Optimisation du th´ eor` eme d’Ax–Sen–T ate et application ` a un calcul de cohomologie galoisiennep-adique, Ann

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:15.937199Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b9d46187-9617-42e7-933a-d017602a685e · outbound

This paper cites Sen, Continuous cohomology and p-adic Galois representations , Invent.

An introduction to p-adic period rings Sen, Continuous cohomology and p-adic Galois representations , Invent

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:15.921337Z

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Observation a90b15fb-7040-44fd-a333-c5544729cdca · outbound

This paper cites Scholze, Perfectoid spaces, Publ.

An introduction to p-adic period rings Scholze, Perfectoid spaces, Publ

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:15.905802Z

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Observation 8a01a5e1-d2b5-4cde-9b73-f1635097472a · outbound

This paper cites Scholze, p-adic Hodge theory for rigid-analytic varieties , Forum Math.

An introduction to p-adic period rings Scholze, p-adic Hodge theory for rigid-analytic varieties , Forum Math

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:15.890081Z

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Observation 26d511c5-566b-41b2-87e7-1217d9c49ad4 · outbound

This paper cites Scholze, J.

An introduction to p-adic period rings Scholze, J

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:15.872807Z

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Observation 1851fb17-1db6-4656-94b5-52028c853611 · outbound

This paper cites Serre, Corps locaux, Hermann Paris (1962).

An introduction to p-adic period rings Serre, Corps locaux, Hermann Paris (1962)

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:15.854736Z

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Observation 50d72c82-90e5-4111-82a2-da588411f7ee · outbound

This paper cites Tate, p-divisible groups , Proc.

An introduction to p-adic period rings Tate, p-divisible groups , Proc

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:15.838377Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ee7f07eb-f0b6-4185-a7c5-405856e402e1 · outbound

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

An introduction to p-adic period rings Tsuji, p-adic ´ etale cohomology and crystalline cohomology in the semi-stable reduction case , Invent

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:15.822558Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation dc3326b9-ad3d-4c34-8294-32d4c2f6898a · outbound

This paper cites Tsuji, Semi-stable conjecture of Fontaine-Jannsen: a survey , in Cohomologies p-adiques et applica- tions arithm´ etiques, II,no.

An introduction to p-adic period rings Tsuji, Semi-stable conjecture of Fontaine-Jannsen: a survey , in Cohomologies p-adiques et applica- tions arithm´ etiques, II,no

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:15.806789Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation da74d4c5-787d-4e31-a026-925786453be4 · outbound

This paper cites Yamashita, An introduction to p-adic Hodge theory for open varieties via syntomic cohomolo gy, this volume 59.

An introduction to p-adic period rings Yamashita, An introduction to p-adic Hodge theory for open varieties via syntomic cohomolo gy, this volume 59

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:47:15.790235Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

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