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Paper Citation Record · LEDGER

Counting sheaves on Calabi-Yau 4-folds, I

As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2009.05542.

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

pith.paper-citation-record.v1
2009.05542 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 5 of 5 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: arxiv_reference, observed 2026-07-02T20:37:22.410886Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 8195f1e3-966a-400f-8799-0d14b40a45ba · inbound

Gopakumar-Vafa invariants of fiber classes on Calabi-Yau 4-folds fibered over curves cites this paper.

Gopakumar-Vafa invariants of fiber classes on Calabi-Yau 4-folds fibered over curves Counting sheaves on Calabi-Yau 4-folds, I

Reference 40

Resolution
verified exact
arxiv_id, observed 2026-05-24T14:44:37.120846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-05-24T14:40:04.699531Z digest=sha256:fb64c3616a997eddcd5444b81008d34fb715b0eacf8d2aa6f0af2c2b207ccbe4

Observation f22b8ed9-f52d-4292-80ec-a5a5b6831f1f · inbound

The virtual fundamental class for the moduli space of surfaces of general type cites this paper.

The virtual fundamental class for the moduli space of surfaces of general type Counting sheaves on Calabi-Yau 4-folds, I

Reference 57

Resolution
verified exact
arxiv_id, observed 2026-05-24T11:36:09.593095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-24T11:34:24.945744Z digest=sha256:c952521fb7e48829275f6c416f3fd018ea0258a61c12cd402d6b78ed64f779fb

Observation 07869cf2-10d4-4f67-b3c3-c458c66b7c93 · inbound

Lagrangian correspondences of nonabelian Hodge type and shifted twistor structures cites this paper.

Lagrangian correspondences of nonabelian Hodge type and shifted twistor structures Counting sheaves on Calabi-Yau 4-folds, I

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-06-30T03:14:14.921862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-06-30T03:10:21.909169Z digest=sha256:440b5fd20623279b6f838cbc290f31b478c2f0e2a1e199137a442e064b7898cc

Observation 13aeda46-2912-40b7-8a4d-8f898fd192bc · inbound

Lagrangian correspondences of nonabelian Hodge type and shifted twistor structures cites this paper.

Lagrangian correspondences of nonabelian Hodge type and shifted twistor structures Counting sheaves on Calabi-Yau 4-folds, I

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-07-02T20:37:22.412157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-07-02T20:28:28.975725Z digest=sha256:8d904d9f0ab75b2f39bb096a832180a0fce9f62b7a5c28d2860c8e0c68080d8e

Observation a2ab2ce3-3713-4285-8d70-97b7934e6e0b · inbound

Virtual Jeffrey--Kirwan localisation cites this paper.

Virtual Jeffrey--Kirwan localisation Counting sheaves on Calabi-Yau 4-folds, I

Reference 40

Resolution
unresolved
no resolver link, observed 2026-07-11T05:34:06.336514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T05:34:06.336514Z digest=sha256:7ecf11af6b5e923e604d1de1eb6e94d4a7a4ea5241800d1f1f12dca36a6cae30