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Paper Citation Record · LEDGER

On the pro-modularity in the residually reducible case for some totally real fields

As of 13 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2411.18661.

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

pith.paper-citation-record.v1
2411.18661 v4

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:37:18.052165Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

22 of 22 outbound references displayed

  • verified exact0
  • verified fuzzy16
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 34c56f14-e101-402d-90e7-4d1efddc0417 · outbound

This paper cites an unresolved cited work.

On the pro-modularity in the residually reducible case for some totally real fields Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:37:18.329202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:37:17.970531Z digest=sha256:619d3d19fab562e61c8f1d0ae00dba4c2cb4532b644c7bd4f88de04454cc9e36

Observation 8437d797-4476-46ba-9073-abbfa74a39a3 · outbound

This paper cites an unresolved cited work.

On the pro-modularity in the residually reducible case for some totally real fields Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-12T11:37:17.974966Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T11:37:17.974966Z digest=sha256:8691c7857d4af364f286ca9eee04c16ab3f5abde2515e37e96a632aea79b9919

Observation 2f49aa0e-5317-4448-bfb7-d6a6c59bcda5 · outbound

This paper cites e l Bella \.

On the pro-modularity in the residually reducible case for some totally real fields e l Bella \

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:37:18.311417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:37:17.978801Z digest=sha256:203955a61faff329a8b10be3a290ec208dc7cddfd8c3f7448bc564a289171afb

Observation 8eb08d85-de16-45ef-9d3d-2ecdc5722f69 · outbound

This paper cites e l Bella \.

On the pro-modularity in the residually reducible case for some totally real fields e l Bella \

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:37:18.299584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:37:17.982454Z digest=sha256:d89ba0127a9e1143a1f469e52be6a248dddf9f0058d7181db6686476fe935187

Observation 763c79d7-b256-44c1-a2c4-18fbb96fdea8 · outbound

This paper cites On the density of modular points in universal deformation spaces.

On the pro-modularity in the residually reducible case for some totally real fields On the density of modular points in universal deformation spaces

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:37:18.288489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:37:17.985910Z digest=sha256:cb09f38cdec83e62f66ad9c14250a02d54c8f1b96977be3f986665b5cbf487f8

Observation 93cf4994-ddf4-4e62-92ba-a8f5e58626c6 · outbound

This paper cites On the infinite fern of G alois representations of unitary type.

On the pro-modularity in the residually reducible case for some totally real fields On the infinite fern of G alois representations of unitary type

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:37:18.277652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:37:17.990071Z digest=sha256:1c31c9bc36e4b49b66efb395eb14ff1ca151c7cfe757bac161e1af4c3bc2553f

Observation dbf5a2cb-9351-495a-9e3f-6bada490a5d4 · outbound

This paper cites an unresolved cited work.

On the pro-modularity in the residually reducible case for some totally real fields Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:37:18.265630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:37:17.993972Z digest=sha256:57e83b87b47a53188f29f463b90308f48ccc192e80275aa31d51d12ba6a380f6

Observation ef3703d3-fe50-47d2-9011-4bcffb5e43c8 · outbound

This paper cites an unresolved cited work.

On the pro-modularity in the residually reducible case for some totally real fields Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:37:18.254305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:37:17.997722Z digest=sha256:cdcddc48226a7e1bb36d6057b9cf651bc51ad7f4268632495134f37f61ad36d1

Observation e14f4a64-9de9-4a5c-b4d7-58fe255cc3ac · outbound

This paper cites Commutative algebra: with a view toward algebraic geometry , volume 150.

On the pro-modularity in the residually reducible case for some totally real fields Commutative algebra: with a view toward algebraic geometry , volume 150

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-12T11:37:18.001785Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T11:37:18.001785Z digest=sha256:5c4fb02b778690f0beb940d862589c5f57ae3cc9b8114dd81a8a97fe3786c8a3

Observation 079ce73d-5a6b-47d1-ad8b-8857c4b99266 · outbound

This paper cites p -adic families of modular forms [after Hida, Coleman, and Mazur].

On the pro-modularity in the residually reducible case for some totally real fields p -adic families of modular forms [after Hida, Coleman, and Mazur]

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:37:18.235799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:37:18.005680Z digest=sha256:1f280ca05ec343d1ed802954f95ce690cd7c46f19630f2e676bde477f5304a10

Observation a08d4aef-da20-4225-96cb-a83b1d6d12dc · outbound

This paper cites Gouv \^e a and Barry Mazur.

On the pro-modularity in the residually reducible case for some totally real fields Gouv \^e a and Barry Mazur

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:37:18.225237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:37:18.009548Z digest=sha256:c8773235ccd4045cdf1623ec4b204f4ad7887c937b03e8fc85f61c963afb5542

Observation eca1db53-f144-4a1d-83b1-0570c37f6a35 · outbound

This paper cites Gouv \^e a.

On the pro-modularity in the residually reducible case for some totally real fields Gouv \^e a

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:37:18.214464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:37:18.013534Z digest=sha256:c31d1539057b0cb2b72c293d322eeb383718373a9483a5feb10327efb6157225

Observation 378e68d2-4723-4a42-80d1-58ac85cc86fe · outbound

This paper cites The Fontaine-Mazur conjecture for GL _2.

On the pro-modularity in the residually reducible case for some totally real fields The Fontaine-Mazur conjecture for GL _2

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:37:18.203322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:37:18.017699Z digest=sha256:f57f331800c63815629b8fbe6fe2a6f8e21d7b01d2f282e79883320b49e25894

Observation ac61fa7f-b455-4625-aa04-0242eef87e0c · outbound

This paper cites Algebraic Geometry and Arithmetic Curves , volume 6.

On the pro-modularity in the residually reducible case for some totally real fields Algebraic Geometry and Arithmetic Curves , volume 6

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:37:18.191941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:37:18.021850Z digest=sha256:d72bd969727ae966307fd6a0d8d8e7a2a1a6b44907a8e287d7551d13b2bcb9b3

Observation fd20b190-350d-4554-b629-7fc651062535 · outbound

This paper cites Deforming G alois representations.

On the pro-modularity in the residually reducible case for some totally real fields Deforming G alois representations

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:37:18.180653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:37:18.025411Z digest=sha256:140211b5c0ab8634c61f27adb0e7a8fb732b37306d3f90580fae6af9534c88c2

Observation 61e689e8-f23c-4088-97f8-1ec13ef9bc62 · outbound

This paper cites Cohomology of number fields , volume 323.

On the pro-modularity in the residually reducible case for some totally real fields Cohomology of number fields , volume 323

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:37:18.167277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:37:18.029592Z digest=sha256:8f0b36f73ec9f35862bf5902fa39d3109c9bc4910102b42e9713ac0a8e9272e2

Observation a9d27234-8450-4f38-bdd8-864e1ecb9d58 · outbound

This paper cites The Fontaine-Mazur conjecture in the residually reducible case.

On the pro-modularity in the residually reducible case for some totally real fields The Fontaine-Mazur conjecture in the residually reducible case

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:37:18.153994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:37:18.033304Z digest=sha256:56fdc950e09c936e0b298c581c04da4b4359e483ef8da65503963dbce16ac20c

Observation 6b8f95c0-6f10-420b-8d4e-04466822631c · outbound

This paper cites The image of Colmez's montreal functor.

On the pro-modularity in the residually reducible case for some totally real fields The image of Colmez's montreal functor

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:37:18.137253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:37:18.037258Z digest=sha256:41a83c0ce8eb5f241311e6804320d1e52d4704c38a52140ef12b32e3ec1a7f93

Observation 408bf7db-c14b-4018-9e52-71420dcae537 · outbound

This paper cites The stacks project.

On the pro-modularity in the residually reducible case for some totally real fields The stacks project

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-12T11:37:18.040858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T11:37:18.040858Z digest=sha256:ea409aeb91e785c058145f28e0096d3fc9dec6d9792a405bd6a619e3e9dd078d

Observation 4c99dca2-7dfe-43ea-8e75-943094499073 · outbound

This paper cites Skinner and Andrew J.

On the pro-modularity in the residually reducible case for some totally real fields Skinner and Andrew J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:37:18.110958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:37:18.044488Z digest=sha256:e8227d3704b547482f5e2ebdf400f29c4d40c1e2607e31948ccd08180deecff7

Observation 48213445-70f7-46c7-b52b-b95f57f918bf · outbound

This paper cites Automorphy for some l -adic lifts of automorphic mod l Galois representations.

On the pro-modularity in the residually reducible case for some totally real fields Automorphy for some l -adic lifts of automorphic mod l Galois representations

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:37:18.099345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:37:18.048630Z digest=sha256:d34051222dd985002e774b26ea6fe0d5b3dead8abd28c70854eef55d7c866b4c

Observation 112017ae-5dbd-49d7-8460-4caef3f3e6aa · outbound

This paper cites On the F ontaine- M azur conjecture for p=3.

On the pro-modularity in the residually reducible case for some totally real fields On the F ontaine- M azur conjecture for p=3

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:37:18.084863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T11:37:18.052165Z digest=sha256:e2e95bb5712196db9f8a588bb318854d88ee4dcccd75c8043ead524374a01071

Pith citing papers

No inbound Pith citation observations are available.