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Paper Citation Record · LEDGER

The Moduli Stack of Breuil-Kisin Modules with Descent Data for Reductive Groups

As of 15 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:2506.11910.

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

pith.paper-citation-record.v1
2506.11910 v1

Coverage vector

measured 6 of 6 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T01:10:59.738231Z

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

6 of 6 outbound references displayed

  • verified exact2
  • verified fuzzy0
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a9028ed9-c223-4658-a0e9-808af0332ab6 · outbound

This paper cites Conformal Blocks Attached to Twisted Groups.

The Moduli Stack of Breuil-Kisin Modules with Descent Data for Reductive Groups Conformal Blocks Attached to Twisted Groups

Reference 213

Resolution
unresolved
no resolver link, observed 2026-08-07T01:10:59.175064Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T01:10:59.175064Z digest=sha256:66f1be4aad0553fdf980aa564e75230e77836fd51ea312f4c0c79ca03d9d4290

Observation cfa19411-4cfa-4096-bb34-ccd641145b2f · outbound

This paper cites N´ eron Models and Tame Ramification.

The Moduli Stack of Breuil-Kisin Modules with Descent Data for Reductive Groups N´ eron Models and Tame Ramification

Reference 294

Resolution
verified exact
doi, observed 2026-08-07T01:11:00.179158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T01:10:59.226623Z digest=sha256:3ce2604b719cd45477c529b7bfb60a8c2793e136584a09355bf14d0f29d02df8

Observation 24ded1fe-32cf-4f2f-b13f-69be54398698 · outbound

This paper cites An introduction to affine Grassmannians and the geometric Satake equivalence.

The Moduli Stack of Breuil-Kisin Modules with Descent Data for Reductive Groups An introduction to affine Grassmannians and the geometric Satake equivalence

Reference 493

Resolution
unresolved
no resolver link, observed 2026-08-07T01:10:59.738231Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T01:10:59.738231Z digest=sha256:5223d05cf41e255d478c8459e4244f05b3e317a9d6aad10ba28e512e1edc589d

Observation f9758000-8b30-472b-aeda-34ca80687357 · outbound

This paper cites Phi-modules and coefficient spaces.

The Moduli Stack of Breuil-Kisin Modules with Descent Data for Reductive Groups Phi-modules and coefficient spaces

Reference 801

Resolution
verified exact
local_arxiv, observed 2026-08-07T01:10:59.960782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T01:10:59.624756Z digest=sha256:59351075f9e158e3af7e7f0c34064fe2c518a240e824d8193a10bd7ec3e46d14

Observation 448321a5-826d-4283-9e95-29225ee904f2 · outbound

This paper cites Emerton--Gee stacks, Serre weights, and Breuil--M\'ezard conjectures for $\mathrm{GSp}_4$.

The Moduli Stack of Breuil-Kisin Modules with Descent Data for Reductive Groups Emerton--Gee stacks, Serre weights, and Breuil--M\'ezard conjectures for $\mathrm{GSp}_4$

Reference 2001

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T01:11:00.441982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T01:10:59.511438Z digest=sha256:6772a3a157c56875c1cd7336b07da02715300ad03fde43ccd92a31110a099b00

Observation 47082a81-2b25-4dc8-8198-39d3376146c9 · outbound

This paper cites Zero Divisors and Nilpotent Elements in Power Series Rings.

The Moduli Stack of Breuil-Kisin Modules with Descent Data for Reductive Groups Zero Divisors and Nilpotent Elements in Power Series Rings

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-07T01:10:59.373989Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T01:10:59.373989Z digest=sha256:e1e4a94cfa3a199e359f542ddb221827674e0e91bebe797040f3b84c9e3e4723

Pith citing papers

No inbound Pith citation observations are available.