Paper Citation Record · LEDGER

Wall-crossing for Calabi-Yau fourfolds: framework, tools, and applications

As of 6 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2507.05922.

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

pith.paper-citation-record.v1
2507.05922 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-19T06:25:49.328880Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-11T05:34:06.336514Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-11T05:37:50.179975Z

Reference resolution

15 of 15 outbound references displayed

verified exact8
verified fuzzy6
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 357eee79-8584-47e8-835b-0051567decb6 · outbound

This paper cites Abramovich, M.

Wall-crossing for Calabi-Yau fourfolds: framework, tools, and applications Abramovich, M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T06:27:07.412916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 38f6809f-e601-43aa-8c5b-c48eef02d2c9 · outbound

This paper cites Brav and T.

Wall-crossing for Calabi-Yau fourfolds: framework, tools, and applications Brav and T

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T06:27:07.427525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 9d3d02fe-aa24-4a2c-8759-358092868c46 · outbound

This paper cites Counting surfaces on Calabi-Yau 4-folds I: Foundations.

Wall-crossing for Calabi-Yau fourfolds: framework, tools, and applications Counting surfaces on Calabi-Yau 4-folds I: Foundations

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-05-19T06:27:07.148109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 299a3e50-87ba-4290-828e-1338cc0432b6 · outbound

This paper cites Wall-crossing for punctual Quot-schemes.

Wall-crossing for Calabi-Yau fourfolds: framework, tools, and applications Wall-crossing for punctual Quot-schemes

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-05-19T06:27:07.140455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 7b0d5504-fd3d-4207-8e3d-6055f267ad19 · outbound

This paper cites Bojko, Wall-crossing for holomorphic Donaldson invariants and applications, 2024, talk slides, https://drive.google.com/file/d/ 1nQCKRiG1yboXqdkmQBz-EjYPiprDOIsW/view.

Wall-crossing for Calabi-Yau fourfolds: framework, tools, and applications Bojko, Wall-crossing for holomorphic Donaldson invariants and applications, 2024, talk slides, https://drive.google.com/file/d/ 1nQCKRiG1yboXqdkmQBz-EjYPiprDOIsW/view

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T06:27:07.425140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation c9654cb6-cdc4-45c3-9124-338c1734f953 · outbound

This paper cites Cao and M.

Wall-crossing for Calabi-Yau fourfolds: framework, tools, and applications Cao and M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T06:27:07.422215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation b330ee9a-b396-4d52-aab9-7f3a51ee6d00 · outbound

This paper cites Donaldson-Thomas theory for Calabi-Yau 4-folds.

Wall-crossing for Calabi-Yau fourfolds: framework, tools, and applications Donaldson-Thomas theory for Calabi-Yau 4-folds

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-05-19T06:27:07.131454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 000f7df2-113a-49ad-971d-163cda7e6328 · outbound

This paper cites Calabi-Yau algebras.

Wall-crossing for Calabi-Yau fourfolds: framework, tools, and applications Calabi-Yau algebras

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-05-19T06:27:07.122509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 9c05b251-e032-4bdc-9356-7b7c29a17af3 · outbound

This paper cites Gaitsgory and N.

Wall-crossing for Calabi-Yau fourfolds: framework, tools, and applications Gaitsgory and N

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T06:27:07.419502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 0e8cb23e-48ab-4f1e-9a9a-6e239863adf5 · outbound

This paper cites The homology of moduli stacks of complexes.

Wall-crossing for Calabi-Yau fourfolds: framework, tools, and applications The homology of moduli stacks of complexes

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-05-19T06:27:07.114131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation ac3996f7-bf3c-45d3-8589-8fc2bfad4e51 · outbound

This paper cites Bordism categories and orientations of moduli spaces.

Wall-crossing for Calabi-Yau fourfolds: framework, tools, and applications Bordism categories and orientations of moduli spaces

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-19T06:27:07.118273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 39201b00-cf44-478a-9cf0-049cffc2519b · outbound

This paper cites Koll´ ar, Higher direct images of dualizing sheaves.

Wall-crossing for Calabi-Yau fourfolds: framework, tools, and applications Koll´ ar, Higher direct images of dualizing sheaves

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T06:27:07.416574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 38b564e3-0ec5-46b0-a993-b31f8074f297 · outbound

This paper cites Kool and J.

Wall-crossing for Calabi-Yau fourfolds: framework, tools, and applications Kool and J

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-19T06:27:07.136285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation a54a4b93-8c4e-4fab-907d-30ecb3eaf787 · outbound

This paper cites Virtual pullbacks in Donaldson-Thomas theory of Calabi-Yau 4-folds.

Wall-crossing for Calabi-Yau fourfolds: framework, tools, and applications Virtual pullbacks in Donaldson-Thomas theory of Calabi-Yau 4-folds

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-19T06:27:07.144404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 27baaf97-ea8f-414f-96ee-7479b2c59ac8 · outbound

This paper cites Relative Calabi-Yau completions.

Wall-crossing for Calabi-Yau fourfolds: framework, tools, and applications Relative Calabi-Yau completions

Reference 15

Resolution: metadata mismatch; arxiv_id, observed 2026-05-19T06:27:07.127239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Pith citing papers

Observation 5c471a69-2c1a-44c6-9272-65cd61b5cdf2 · inbound

Virtual Jeffrey--Kirwan localisation cites this paper.

Virtual Jeffrey--Kirwan localisation Wall-crossing for Calabi-Yau fourfolds: framework, tools, and applications

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-07-11T05:37:50.181635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.