Paper Citation Record · LEDGER

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations

As of 16 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:1908.07929.

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

pith.paper-citation-record.v1
1908.07929 v3

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:19:25.705460Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

23 of 23 outbound references displayed

verified exact4
verified fuzzy3
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b67da539-d3d1-4d99-898e-8f61ae7b894e · outbound

This paper cites an unresolved cited work.

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:19:26.096379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6560a420-430c-4fe9-8d2a-74c19df7b5c0 · outbound

This paper cites an unresolved cited work.

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-14T12:19:25.605949Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e2c3fc36-fe3e-489b-8864-37c87dd41b07 · outbound

This paper cites an unresolved cited work.

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:19:26.069434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d9dc76aa-31f0-4628-994f-76c637c5a2c1 · outbound

This paper cites an unresolved cited work.

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:19:26.053949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f0e8e0ec-bf41-41e9-8ca4-3abdee5a873a · outbound

This paper cites Globally realizable components of local deformation rings.

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations Globally realizable components of local deformation rings

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:19:25.813291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d59b5d1d-35b2-41b8-848b-af6b3a082f64 · outbound

This paper cites Moduli stacks of \'etale (phi,Gamma)-modules and the existence of crystalline lifts.

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations Moduli stacks of \'etale (phi,Gamma)-modules and the existence of crystalline lifts

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:19:25.792395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 15754793-05bf-4d4a-b4e9-a7ffbeac3bd5 · outbound

This paper cites Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations.

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:19:25.772611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 61e56e5f-5540-4940-8051-6a43ec5e9a10 · outbound

This paper cites an unresolved cited work.

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:19:26.039666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 12abf040-a3a4-43bd-ad91-b1f715ca43ca · outbound

This paper cites an unresolved cited work.

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:19:26.025616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5445551f-08c6-405c-a1bd-7e8271a5ca8b · outbound

This paper cites an unresolved cited work.

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:19:26.009688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5d03778f-fbc4-4a5f-8151-55780b19f365 · outbound

This paper cites an unresolved cited work.

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:19:25.995203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 695812ff-2abe-45e3-af9e-716d5d7be5f6 · outbound

This paper cites an unresolved cited work.

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:19:25.981568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6e9b57ae-bda8-49db-b4ae-34df2af04e75 · outbound

This paper cites Milnor and James D.

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations Milnor and James D

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:19:25.963418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 417bcb70-6bdd-4a37-95c9-8034e64cb2a7 · outbound

This paper cites Muller, Rel \` e vements cristallins de repr \' e sentations galoisiennes , Ph.D.

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations Muller, Rel \` e vements cristallins de repr \' e sentations galoisiennes , Ph.D

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:19:25.948514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8ba3f889-9877-479a-8e3c-e4f5709be4a3 · outbound

This paper cites an unresolved cited work.

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:19:25.933660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f5fb9657-190c-4e54-9350-94d379e109b5 · outbound

This paper cites an unresolved cited work.

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:19:25.918629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 19550528-0d0a-4b31-b775-22e74f73bba4 · outbound

This paper cites 1, A K Peters, Ltd., Wellesley, MA, 2008, With notes by Henri Darmon.

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations 1, A K Peters, Ltd., Wellesley, MA, 2008, With notes by Henri Darmon

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:19:25.902586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 17922c75-5f08-4ca6-a41a-0db6a33231e6 · outbound

This paper cites an unresolved cited work.

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:19:25.887549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation eb31ef15-79e9-44c4-805a-4f002e41650f · outbound

This paper cites an unresolved cited work.

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:19:25.873494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e36d4ca7-a84b-410e-9eec-47ef62bca11b · outbound

This paper cites an unresolved cited work.

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:19:25.858290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 64d600e3-7e4a-4592-9984-c0c8e00a478c · outbound

This paper cites an unresolved cited work.

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:19:25.841093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 83f332e9-342e-488f-bc4c-b22b422a284c · outbound

This paper cites The inverse Galois problem for orthogonal groups.

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations The inverse Galois problem for orthogonal groups

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:19:25.751132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 121a938e-6315-417c-9308-2b036bd31d33 · outbound

This paper cites an unresolved cited work.

Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:19:25.827190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.