Paper Citation Record · LEDGER

Hall algebras and Hecke modifications of vector bundles

As of 8 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2506.00186.

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

pith.paper-citation-record.v1
2506.00186 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:23:21.411053Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

30 of 30 outbound references displayed

verified exact1
verified fuzzy19
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6ba5a4ed-8432-4c2e-9125-dd5d51b7b568 · outbound

This paper cites Araujo, T.

Hall algebras and Hecke modifications of vector bundles Araujo, T

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:23:25.177967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2809b8e5-3a70-440d-9fa1-c01ada28bbd1 · outbound

This paper cites Alfaya and T.

Hall algebras and Hecke modifications of vector bundles Alfaya and T

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:23:25.042244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c5edcee5-605d-4e7d-9113-93a94fcaff4c · outbound

This paper cites Alvarenga, I.

Hall algebras and Hecke modifications of vector bundles Alvarenga, I

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:23:24.946835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 208395f5-e105-408e-a1d7-38c1c9c36a57 · outbound

This paper cites Automorphic forms for PGL(3) over elliptic function fields. Part 1: Graphs of Hecke operators.

Hall algebras and Hecke modifications of vector bundles Automorphic forms for PGL(3) over elliptic function fields. Part 1: Graphs of Hecke operators

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:23:21.584928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9161e7aa-2bcb-4b56-a921-2b905b0b24c7 · outbound

This paper cites Alvarenga.

Hall algebras and Hecke modifications of vector bundles Alvarenga

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:23:24.858498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation da69f99b-7f9a-4aba-9971-1915e46dfb80 · outbound

This paper cites Alvarenga.

Hall algebras and Hecke modifications of vector bundles Alvarenga

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:23:24.756783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c7bd9336-dff6-4e62-aef4-b5860d771bc3 · outbound

This paper cites Bernstein and S.

Hall algebras and Hecke modifications of vector bundles Bernstein and S

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:23:24.676212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1fb59dd7-b693-4694-a14f-131b33554616 · outbound

This paper cites Baumann and C.

Hall algebras and Hecke modifications of vector bundles Baumann and C

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:23:24.607146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b44c709c-31fa-4e39-86ff-fd655456ac35 · outbound

This paper cites an unresolved cited work.

Hall algebras and Hecke modifications of vector bundles Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:23:24.502566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b90c883f-015b-4adf-8b5b-570daa72c7a0 · outbound

This paper cites an unresolved cited work.

Hall algebras and Hecke modifications of vector bundles Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:23:24.421437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5cc572c5-1490-458c-8806-12b59ecadeed · outbound

This paper cites an unresolved cited work.

Hall algebras and Hecke modifications of vector bundles Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:23:24.331163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 458e96f9-b7c6-4e54-b552-9b62717578dc · outbound

This paper cites an unresolved cited work.

Hall algebras and Hecke modifications of vector bundles Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:23:24.256330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0393f906-1577-4458-8743-de3033afa16e · outbound

This paper cites Hartshorne.

Hall algebras and Hecke modifications of vector bundles Hartshorne

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:23:24.166479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3fbcea12-1655-435d-896d-278fba8cb3cd · outbound

This paper cites Heu and F.

Hall algebras and Hecke modifications of vector bundles Heu and F

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:23:24.093748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3639910c-17a7-4010-84b3-d0b85d554044 · outbound

This paper cites He and T.

Hall algebras and Hecke modifications of vector bundles He and T

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:23:24.018451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3b5175bf-8f57-42d7-93df-39ebcc8c6787 · outbound

This paper cites Kapranov.

Hall algebras and Hecke modifications of vector bundles Kapranov

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:23:23.949712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e4149cac-770a-440a-9f0a-ba8a641f7949 · outbound

This paper cites Lafforgue.

Hall algebras and Hecke modifications of vector bundles Lafforgue

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:23:23.855182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 136fef25-c179-4b4d-903f-6216b34fd747 · outbound

This paper cites Lorscheid.

Hall algebras and Hecke modifications of vector bundles Lorscheid

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:23:23.681178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d3132ab3-b2d1-4ad0-9be0-206baf7bed86 · outbound

This paper cites Lorscheid.

Hall algebras and Hecke modifications of vector bundles Lorscheid

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:23:23.578319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2288f2da-20a4-4a17-92aa-2d095430bf32 · outbound

This paper cites Lorscheid.

Hall algebras and Hecke modifications of vector bundles Lorscheid

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:23:23.445922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f52737df-d1e4-4de6-abd6-6982c0cbdd4e · outbound

This paper cites Lorscheid.

Hall algebras and Hecke modifications of vector bundles Lorscheid

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:23:23.361977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 47b32088-ab8a-4f66-a6ab-5755d979b990 · outbound

This paper cites Le Potier.

Hall algebras and Hecke modifications of vector bundles Le Potier

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:23:23.219596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0c9290c0-3c5c-48d9-88c5-b51e4b4b5c95 · outbound

This paper cites an unresolved cited work.

Hall algebras and Hecke modifications of vector bundles Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:23:23.027797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5b46c5f8-3b79-4c66-b5c5-3a58bfa6a404 · outbound

This paper cites an unresolved cited work.

Hall algebras and Hecke modifications of vector bundles Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:23:22.928172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0ea8e211-d9b3-48c0-8870-37c9d17be191 · outbound

This paper cites an unresolved cited work.

Hall algebras and Hecke modifications of vector bundles Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:23:22.851718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation adbd38f9-5aaa-418c-bf03-4eefa7ae1dc8 · outbound

This paper cites Pereira Junior.

Hall algebras and Hecke modifications of vector bundles Pereira Junior

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:23:22.765059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3ab40e9f-8b3e-414f-9c8b-7342df112694 · outbound

This paper cites Schiffmann.

Hall algebras and Hecke modifications of vector bundles Schiffmann

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:23:22.523914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 91919578-d604-4ae9-9619-f7d76a4ed9d3 · outbound

This paper cites an unresolved cited work.

Hall algebras and Hecke modifications of vector bundles Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:23:22.273751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2db1fafe-4995-4f28-8772-b9267e4358fc · outbound

This paper cites an unresolved cited work.

Hall algebras and Hecke modifications of vector bundles Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:23:22.052982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6664e869-4ca3-4aed-a739-7aa116762c8f · outbound

This paper cites an unresolved cited work.

Hall algebras and Hecke modifications of vector bundles Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:23:21.839743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.