Paper Citation Record · LEDGER

Special Cycle on Shtukas and Categorical Trace

As of 13 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2509.05526.

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

pith.paper-citation-record.v1
2509.05526 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T05:29:45.386729Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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 exact0
verified fuzzy12
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1c070a46-76e7-4021-b93e-b534b5c4d9f0 · outbound

This paper cites an unresolved cited work.

Special Cycle on Shtukas and Categorical Trace Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-05T05:29:45.623870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 93b1d627-ce4e-401f-b6fb-a2e1694c9087 · outbound

This paper cites an unresolved cited work.

Special Cycle on Shtukas and Categorical Trace Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-05T05:29:45.616337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation efbc5a4d-a128-45c6-b897-6fe0a93385bc · outbound

This paper cites an unresolved cited work.

Special Cycle on Shtukas and Categorical Trace Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-05T05:29:45.609724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 502735a4-69f2-4c67-9084-4379d7fb3c2a · outbound

This paper cites 8, 1724--1765.

Special Cycle on Shtukas and Categorical Trace 8, 1724--1765

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:29:45.602506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d937ec35-77ef-452a-8747-5e99fb33a89b · outbound

This paper cites an unresolved cited work.

Special Cycle on Shtukas and Categorical Trace Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-05T05:29:45.594681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 42db3d07-4e64-4227-b0c4-641f382a7a7e · outbound

This paper cites an unresolved cited work.

Special Cycle on Shtukas and Categorical Trace Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-05T05:29:45.587216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3f71fa09-845c-456b-9c66-39bdb9ec3809 · outbound

This paper cites 2, 367--417.

Special Cycle on Shtukas and Categorical Trace 2, 367--417

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:29:45.579623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f1e1510a-2e6a-4be2-bcf1-c69336a79a21 · outbound

This paper cites Khan, Modularity of higher theta series II : C how group of the generic fiber , 2024.

Special Cycle on Shtukas and Categorical Trace Khan, Modularity of higher theta series II : C how group of the generic fiber , 2024

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:29:45.571718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f35e2bd8-a577-4916-b56d-cda01aed9694 · outbound

This paper cites 2, 683--729.

Special Cycle on Shtukas and Categorical Trace 2, 683--729

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:29:45.562457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d540bfea-ec38-41d9-949f-b0ba7881426f · outbound

This paper cites an unresolved cited work.

Special Cycle on Shtukas and Categorical Trace Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-05T05:29:45.554743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 70f45cc4-c20b-42b4-bf4c-ea214ed9022a · outbound

This paper cites an unresolved cited work.

Special Cycle on Shtukas and Categorical Trace Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-05T05:29:45.547112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e970bb11-5df5-45ec-8606-c7436821bfad · outbound

This paper cites an unresolved cited work.

Special Cycle on Shtukas and Categorical Trace Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-05T05:29:45.539643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6991034a-ba1b-4a59-bf0d-b37d60ed3115 · outbound

This paper cites an unresolved cited work.

Special Cycle on Shtukas and Categorical Trace Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-05T05:29:45.531864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b15e8cdf-a274-4039-97db-ccf2de087e8a · outbound

This paper cites Gross and Don B.

Special Cycle on Shtukas and Categorical Trace Gross and Don B

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:29:45.523172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 90e485cc-e318-4335-8c24-c5daebab6ab8 · outbound

This paper cites 107, American Mathematical Soc., 2003.

Special Cycle on Shtukas and Categorical Trace 107, American Mathematical Soc., 2003

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:29:45.514645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 88ef1c49-dd7c-4b7a-bb20-57ca3268f7be · outbound

This paper cites an unresolved cited work.

Special Cycle on Shtukas and Categorical Trace Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-05T05:29:45.507158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c0879a42-a312-41fb-9e1c-76e7e3624685 · outbound

This paper cites an unresolved cited work.

Special Cycle on Shtukas and Categorical Trace Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-05T05:29:45.498860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7cc2a7d5-518a-4388-934c-a7ecb1bcc643 · outbound

This paper cites an unresolved cited work.

Special Cycle on Shtukas and Categorical Trace Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-05T05:29:45.491215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 54287ca0-4552-4e44-a245-93198813a55f · outbound

This paper cites 10, Cambridge University Press, 2022, p.

Special Cycle on Shtukas and Categorical Trace 10, Cambridge University Press, 2022, p

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:29:45.482572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ef443707-71c9-482b-933d-707a02ed6de7 · outbound

This paper cites an unresolved cited work.

Special Cycle on Shtukas and Categorical Trace Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-05T05:29:45.474132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 32970171-dbe1-4ee6-bae9-d6417a6c59d9 · outbound

This paper cites 3, 799--910.

Special Cycle on Shtukas and Categorical Trace 3, 799--910

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:29:45.466422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f155cc8d-be7a-4dcd-b76d-43c7879e2b86 · outbound

This paper cites 1, 271--319.

Special Cycle on Shtukas and Categorical Trace 1, 271--319

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:29:45.457365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation aa58b31c-870c-4a2c-bd0d-3b71dbc4ea11 · outbound

This paper cites 5, 2203--2220.

Special Cycle on Shtukas and Categorical Trace 5, 2203--2220

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:29:45.448141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b86f7924-a30a-467e-9887-1d2f3a987848 · outbound

This paper cites 3, 767 -- 911.

Special Cycle on Shtukas and Categorical Trace 3, 767 -- 911

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:29:45.439792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d9229fd9-54e0-456b-98fb-13ed9b87b5c9 · outbound

This paper cites 2, 393--526.

Special Cycle on Shtukas and Categorical Trace 2, 393--526

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:29:45.431751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1fa91d19-fc6a-4716-a234-54bb5e5bb0fc · outbound

This paper cites an unresolved cited work.

Special Cycle on Shtukas and Categorical Trace Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-05T05:29:45.422175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 872aa1c7-afb1-47a6-8552-52322e3f6948 · outbound

This paper cites an unresolved cited work.

Special Cycle on Shtukas and Categorical Trace Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-05T05:29:45.412735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.