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Paper Citation Record · LEDGER

Comparison theorems for the minimum eigenvalue of a random positive-semidefinite matrix

As of 14 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 5 inbound Pith citation observations for arXiv:2501.16578.

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

pith.paper-citation-record.v1
2501.16578 v1

Coverage vector

measured 4 of 4 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T12:19:42.074736Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:50:30.539915Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T14:36:58.386162Z

Reference resolution

4 of 4 outbound references displayed

  • verified exact1
  • verified fuzzy0
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b27a44b5-d766-44ca-bb77-047842d62e95 · outbound

This paper cites Monotonic converging variational approximations to the functional integrals in quantum statistical mechanics.

Comparison theorems for the minimum eigenvalue of a random positive-semidefinite matrix Monotonic converging variational approximations to the functional integrals in quantum statistical mechanics

Reference 334

Resolution
unresolved
no resolver link, observed 2026-08-10T12:19:42.067020Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T12:19:42.067020Z digest=sha256:6ae2d66185738ccf38ae7d94bd85145e811a64e3cc57f80be03a6ae9dc116a48

Observation 1b871fd1-daed-4da2-b679-898aec5e3e6f · outbound

This paper cites Randomized Numerical Linear Algebra : A Perspective on the Field With an Eye to Software.

Comparison theorems for the minimum eigenvalue of a random positive-semidefinite matrix Randomized Numerical Linear Algebra : A Perspective on the Field With an Eye to Software

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-10T12:19:42.074736Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T12:19:42.074736Z digest=sha256:8468d9e278640396b7190c54f8f67d7712229f0bb4731fda9e2060f3acdf6b44

Observation bd2e593a-eb01-41eb-a412-67fcb13e4f93 · outbound

This paper cites Optimal Oblivious Subspace Embeddings with Near-optimal Sparsity.

Comparison theorems for the minimum eigenvalue of a random positive-semidefinite matrix Optimal Oblivious Subspace Embeddings with Near-optimal Sparsity

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-10T12:19:42.070994Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T12:19:42.070994Z digest=sha256:6f75285f3adcec2dd8d6393f3475d707d8c71d3c219de7a488b420992b1fedbc

Observation f441faf7-44f5-4f33-9738-accf13759c4b · outbound

This paper cites Limit of the smallest eigenvalue of a large-dimensional sample covariance matrix.

Comparison theorems for the minimum eigenvalue of a random positive-semidefinite matrix Limit of the smallest eigenvalue of a large-dimensional sample covariance matrix

Reference 2794

Resolution
verified exact
raw_fallback, observed 2026-08-10T12:19:42.444162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T12:19:42.063214Z digest=sha256:5b70014405bfa86611f9d4ce831f91a97fbe5e478c5afc209dde83899e01d06d

Pith citing papers

Observation aec2be55-1bd6-44ff-a8bf-540ad65c1405 · inbound

A structural bound for cluster robustness of randomized small-block Lanczos cites this paper.

A structural bound for cluster robustness of randomized small-block Lanczos Comparison theorems for the minimum eigenvalue of a random positive-semidefinite matrix

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-06T17:50:30.539915Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:50:30.539915Z digest=sha256:e72a7dfea971673ca9f8771c5b6bcac5a7d6caf1c9c4d9a6c87f5cdce5f2cdf4

Observation dfcdecc2-2d1f-4e89-ac96-0b6dc8549694 · inbound

Faster Linear Algebra Algorithms with Structured Random Matrices cites this paper.

Faster Linear Algebra Algorithms with Structured Random Matrices Comparison theorems for the minimum eigenvalue of a random positive-semidefinite matrix

Reference 115

Resolution
verified exact
local_arxiv, observed 2026-08-05T14:36:58.389399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T14:36:57.738298Z digest=sha256:175a2a944b0761749d840e81c7cd7be7b7b2c9e01f2a19f148ff409b7b948f9b

Observation 8375bfb1-3c25-4726-9bd4-7b007834c57a · inbound

Comparison theorems for the extreme eigenvalues of a random symmetric matrix cites this paper.

Comparison theorems for the extreme eigenvalues of a random symmetric matrix Comparison theorems for the minimum eigenvalue of a random positive-semidefinite matrix

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-02T19:01:21.486715Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T19:01:21.486715Z digest=sha256:dcaf08ea21bc9efddcb725e39f2acb958cb926fe3bb84073d93ce422f272754e

Observation 2bade171-3669-4885-8176-1acae25c6c31 · inbound

Linear-Scaling Tensor Train Sketching cites this paper.

Linear-Scaling Tensor Train Sketching Comparison theorems for the minimum eigenvalue of a random positive-semidefinite matrix

Reference 47

Resolution
unresolved
no resolver link, observed 2026-07-14T23:11:18.736508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T23:11:18.736508Z digest=sha256:3c32ae5526a799a93ccfbde6fead565593ccf487ff64e96bef17a36bbf04fc77

Observation 2bd5ae41-8740-489d-9620-3a6e411b50d1 · inbound

Level-set entropy and sparse randomized embeddings cites this paper.

Level-set entropy and sparse randomized embeddings Comparison theorems for the minimum eigenvalue of a random positive-semidefinite matrix

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-01T04:00:42.109700Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:00:42.109700Z digest=sha256:539e89bac7d77ac9af330a90f134e046420b2b5ed8d756d84c6f54915ab0a03d