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Paper Citation Record · LEDGER

A Multilevel Approach to Variance Reduction in the Stochastic Estimation of the Trace of a Matrix

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2108.11281.

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

pith.paper-citation-record.v1
2108.11281 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T19:50:59.216377Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T15:29:55.483557Z

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 93d3ce0b-7aac-4b06-a212-44ddecdc9abb · inbound

Multigrid low-mode averaging cites this paper.

Multigrid low-mode averaging A Multilevel Approach to Variance Reduction in the Stochastic Estimation of the Trace of a Matrix

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-11T19:50:59.216377Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T19:50:59.216377Z digest=sha256:417bba6b0cafaa9e71838d79567d2b6d5a5b505742b8f3a618d3961a87292c37

Observation e7964876-3d2d-4577-95ea-570fb92437c0 · inbound

Performance of Low Mode Averaging on Twisted-Mass Fermion Ensembles at the physical pion mass point cites this paper.

Performance of Low Mode Averaging on Twisted-Mass Fermion Ensembles at the physical pion mass point A Multilevel Approach to Variance Reduction in the Stochastic Estimation of the Trace of a Matrix

Reference 36

Resolution
verified exact
arxiv_id, observed 2026-07-04T15:29:55.486063Z

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.

source=pdf_text observed=2026-06-26T01:37:43.399943Z digest=sha256:24f289fa2257421709fc226dcf22d21bc29790dd1cbb8da870590bf42f3f6673

Observation ef21377d-4ef6-4d75-8fd6-b260f74a0b14 · inbound

Variance reduction with probing and Multilevel Monte Carlo in Lattice QCD cites this paper.

Variance reduction with probing and Multilevel Monte Carlo in Lattice QCD A Multilevel Approach to Variance Reduction in the Stochastic Estimation of the Trace of a Matrix

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-11T07:54:56.879518Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T07:54:56.879518Z digest=sha256:a55ca836a4a1ddc59eeff7746117c0da8c5d0090e39ef9994108d82082ffcdcd