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Paper Citation Record · LEDGER

Lower bounds for trace estimation via Block Krylov and other methods

As of 20 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:2506.22701.

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

pith.paper-citation-record.v1
2506.22701 v1

Coverage vector

measured 6 of 6 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:10:34.188014Z

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

6 of 6 outbound references displayed

  • verified exact1
  • verified fuzzy5
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bfb57722-d46d-4232-9bf5-c0a7bf34ea25 · outbound

This paper cites Randomized algorithms for estimating the trace of an implicit symmetric positive semi-definite matrix.

Lower bounds for trace estimation via Block Krylov and other methods Randomized algorithms for estimating the trace of an implicit symmetric positive semi-definite matrix

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:10:35.308294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:10:33.786462Z digest=sha256:001964de8249c3b3be2a1a84d99eba74ce276f166d44a0f20b7fe5097e22a885

Observation 2402d058-5267-4b4f-89b7-4d9f44279f47 · outbound

This paper cites Spectral sparsification of graphs.

Lower bounds for trace estimation via Block Krylov and other methods Spectral sparsification of graphs

Reference 193

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:10:34.538332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:10:34.188014Z digest=sha256:b933c83a9ec16684f843c77223a16488163523828230ee1dd5c0acbe521d9f2e

Observation 08b7aea8-4ae1-4c25-9374-b33f1119b7c3 · outbound

This paper cites Query lower bounds for log-concave sampling.

Lower bounds for trace estimation via Block Krylov and other methods Query lower bounds for log-concave sampling

Reference 647

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:10:35.115532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:10:33.840860Z digest=sha256:ec179d8790443dc9d4e1e9acba2ce8c7908a6b1310e7dd8eb03383193d0f2d33

Observation 707ea5c9-9fc4-4d10-ac3b-fa544fadd2f8 · outbound

This paper cites The block Lanczos method for computing eigenval- ues.

Lower bounds for trace estimation via Block Krylov and other methods The block Lanczos method for computing eigenval- ues

Reference 1997

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:10:34.889360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:10:33.906283Z digest=sha256:0743fb49ef97a11cb8ef6352c36d100ba3c64f84d9f26db59e9fa8489320f64c

Observation 300d2c8b-c5d0-4ac6-8bdd-780af53084da · outbound

This paper cites Hutch++: Optimal stochastic trace estimation.

Lower bounds for trace estimation via Block Krylov and other methods Hutch++: Optimal stochastic trace estimation

Reference 2013

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:10:34.712390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:10:34.000046Z digest=sha256:af466f1ddb0f35936dc3677eb86f89428a902be685307707a6e8726406759435

Observation 8d798adf-05bc-4763-ae3b-8f5adbd34276 · outbound

This paper cites Iterative methods for linear systems of equations: A brief historical journey.

Lower bounds for trace estimation via Block Krylov and other methods Iterative methods for linear systems of equations: A brief historical journey

Reference 2020

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:10:34.361225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T22:10:34.066479Z digest=sha256:fa1bba6b093b1ce2562bd5d7b5203eb072a30805b2e7efdf19b09bd5ba877053

Pith citing papers

No inbound Pith citation observations are available.