Paper Citation Record · LEDGER

Arithmetic volume of Shtukas and Langlands duality

As of 5 August 2026, this Paper Citation Record lists 2 of 2 outbound references and 1 inbound Pith citation observation for arXiv:2604.03763.

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

pith.paper-citation-record.v1
2604.03763 v1

Coverage vector

measured 2 of 2 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-13T17:06:51.300744Z

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T03:08:31.974943Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

2 of 2 outbound references displayed

verified exact0
verified fuzzy1
unresolved0
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4e6d1d29-0f23-492b-9fca-7eca75b4d1b4 · outbound

This paper cites 11 [LW25] Shurui Liu and Zeyu Wang,Higher period integrals and derivatives ofL-functions.

Arithmetic volume of Shtukas and Langlands duality 11 [LW25] Shurui Liu and Zeyu Wang,Higher period integrals and derivatives ofL-functions

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-14T05:23:08.980240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 18f24ac8-e97d-41c5-a5d7-03d196054a47 · outbound

This paper cites 28, 29 [YZ11] Zhiwei Yun and Xinwen Zhu,Integral homology of loop groups via Langlands dual groups, Representation Theory of the American Mathematical Society15(2011), no.

Arithmetic volume of Shtukas and Langlands duality 28, 29 [YZ11] Zhiwei Yun and Xinwen Zhu,Integral homology of loop groups via Langlands dual groups, Representation Theory of the American Mathematical Society15(2011), no

Reference 2

Resolution: malformed identifier; raw_fallback, observed 2026-05-14T05:23:08.978340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Pith citing papers

Observation db499f0c-db24-43c1-a833-6c15c1459d86 · inbound

Diagonal cycles on Shtukas and the adjoint $L$-function cites this paper.

Diagonal cycles on Shtukas and the adjoint $L$-function Arithmetic volume of Shtukas and Langlands duality

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-01T03:08:31.974943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.