Paper Citation Record · LEDGER

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance

As of 8 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2607.08660.

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

pith.paper-citation-record.v1
2607.08660 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-10T03:48:30.525693Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

27 of 27 outbound references displayed

verified exact5
verified fuzzy15
unresolved1
parse uncertain0
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metadata mismatch6

External citation measurements

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Outbound references

Observation 253cc80d-136a-4df8-903c-5ba447e50f84 · outbound

This paper cites Adequate moduli spaces and geometrically reductive group schemes.

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance Adequate moduli spaces and geometrically reductive group schemes

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:06:45.494677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ad17b49c-df5f-48bd-bd4a-c5c7bab771b3 · outbound

This paper cites an unresolved cited work.

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-07-10T04:06:45.496350Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 05060d78-1a2e-4b10-a926-59e9d309ef77 · outbound

This paper cites Absolute prismatic cohomology.

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance Absolute prismatic cohomology

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-07-10T03:56:44.643970Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6b907c86-6586-4aaf-8529-64f10c8468ea · outbound

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

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance The prismatization of $p$-adic formal schemes

Reference 4

Resolution: metadata mismatch; local_arxiv, observed 2026-07-10T03:56:44.659091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3ba8dc2d-d201-4bbe-9b7d-d9491734af93 · outbound

This paper cites G-torsors over a Dedekind scheme.

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance G-torsors over a Dedekind scheme

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:06:45.489157Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a8575ce5-f764-4ac9-bebc-b8a661101c3a · outbound

This paper cites Connectedness of Kisin varieties associated to absolutely irreducible Galois representations.

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance Connectedness of Kisin varieties associated to absolutely irreducible Galois representations

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:06:45.491058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a5e73822-ec80-45d0-a833-f9c4d81200ff · outbound

This paper cites ‘Scheme-theoretic images’ of mor- phisms of stacks.

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance ‘Scheme-theoretic images’ of mor- phisms of stacks

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:06:45.492782Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5f6f5c69-9ac5-4bf9-ba05-3f4e25b390b6 · outbound

This paper cites General Serre weight conjectures.

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance General Serre weight conjectures

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:06:45.498123Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1ed1b8f6-8167-48a1-8244-8edf28fe23f8 · outbound

This paper cites The Buzzard-Diamond-Jarvis conjecture for unitary groups.

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance The Buzzard-Diamond-Jarvis conjecture for unitary groups

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-07-10T03:56:44.637457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 95990f6e-a00f-4713-bc05-4cf3205b2881 · outbound

This paper cites The weight part of Serre’s conjecture forGL(2).

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance The weight part of Serre’s conjecture forGL(2)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:06:45.500084Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6333f40d-09b8-4121-8924-eddcb32c9a78 · outbound

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

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance An algebraicity conjecture of Drinfeld and the moduli of $p$-divisible groups

Reference 11

Resolution: metadata mismatch; local_arxiv, observed 2026-07-10T03:56:44.646333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 33b833d8-4301-403c-8c18-b488e4241a6e · outbound

This paper cites Alcove walk models for parabolic Mirkovi\'c-Vilonen intersections and branching to Levi subgroups.

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance Alcove walk models for parabolic Mirkovi\'c-Vilonen intersections and branching to Levi subgroups

Reference 12

Resolution: metadata mismatch; local_arxiv, observed 2026-07-10T03:56:44.656875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cebb0715-119a-4c15-bf8a-2ae9a077a70d · outbound

This paper cites Cambridge University Press, Cambridge, 1990, xii+204.

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance Cambridge University Press, Cambridge, 1990, xii+204

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:06:45.501887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e852a377-2c8c-483c-8364-fe33d86b23ba · outbound

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

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance A Tannakian framework for prismatic $F$-crystals

Reference 14

Resolution: metadata mismatch; local_arxiv, observed 2026-07-10T03:56:44.651460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 53293743-95f6-4f44-a0b2-2a5782948425 · outbound

This paper cites Crystalline representations andF-crystals.

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance Crystalline representations andF-crystals

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:06:45.487229Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1557a55a-e807-42db-bb65-4c2cd99a0087 · outbound

This paper cites Moduli of finite flat group schemes, and modularity.

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance Moduli of finite flat group schemes, and modularity

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:06:45.481944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation acb857bb-0267-4d7b-8bca-96f5c7aa1ad5 · outbound

This paper cites A Deligne-Lusztig type correspondence for tame $p$-adic groups.

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance A Deligne-Lusztig type correspondence for tame $p$-adic groups

Reference 17

Resolution: metadata mismatch; local_arxiv, observed 2026-07-10T03:56:44.644154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation dce0ba22-5448-4382-871f-1b0f577ae755 · outbound

This paper cites Serre weights, Galois deformation rings, and local models.

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance Serre weights, Galois deformation rings, and local models

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-07-10T03:56:44.629782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5e2b8365-b3dc-4885-a576-c36a07017486 · outbound

This paper cites The Weight Part of Serre’s Conjecture over CM Fields.

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance The Weight Part of Serre’s Conjecture over CM Fields

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:06:45.479825Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6967d204-a462-4166-8632-09372533b10b · outbound

This paper cites [Qua23] Julian Quast.Deformations of G-valued pseudocharacters.

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance [Qua23] Julian Quast.Deformations of G-valued pseudocharacters

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-07-10T03:56:44.654217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b2e3574d-6082-4da3-9d90-7f87328e5ef1 · outbound

This paper cites Schubert varieties in twisted affine flag varieties and local models.

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance Schubert varieties in twisted affine flag varieties and local models

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-07-10T03:56:44.648988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1d7e51a6-f311-43ee-857c-8830d06ca3ba · outbound

This paper cites Smith-Treumann theory and the linkage principle.

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance Smith-Treumann theory and the linkage principle

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:06:45.483586Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e65b8297-0af3-4f3c-975e-de4bd840a00d · outbound

This paper cites Groupes de Grothendieck des schémas en groupes réductifs déployés.

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance Groupes de Grothendieck des schémas en groupes réductifs déployés

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:06:45.485379Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 119b8b4e-e9c4-47a5-be13-251ac16fbf8e · outbound

This paper cites Sur les représentations modulaires de degré2de Gal(Q/Q).

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance Sur les représentations modulaires de degré2de Gal(Q/Q)

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:06:45.476163Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2acf74f8-64af-4f29-aff2-93e32808f92e · outbound

This paper cites Princeton University Press, Princeton, NJ, 2020, x+250.

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance Princeton University Press, Princeton, NJ, 2020, x+250

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:06:45.473941Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c1f878e5-f4d8-4afd-9a66-d22aabfa1d01 · outbound

This paper cites Moduli of truncated shtukas and displays.

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance Moduli of truncated shtukas and displays

Reference 26

Resolution: metadata mismatch; local_arxiv, observed 2026-07-10T03:56:44.634814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 79da6cbb-9a8f-4c3a-8048-726af5f5651b · outbound

This paper cites Partial orderings on affine Weyl groups.

Reduction modulo p of crystalline Galois representations via {\mu}_p-equivariance Partial orderings on affine Weyl groups

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T04:06:45.478183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

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