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Paper Citation Record · LEDGER

Singularity of random Bernoulli matrices

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1812.09016.

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

pith.paper-citation-record.v1
1812.09016 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:31:50.649235Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T05:17:51.523271Z

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 5b663bff-a470-4e18-a7bd-9d7593f5c0cc · inbound

Quantitative invertibility of random matrices: a combinatorial perspective cites this paper.

Quantitative invertibility of random matrices: a combinatorial perspective Singularity of random Bernoulli matrices

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-14T10:31:50.649235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:31:50.649235Z digest=sha256:375257071a1be37a8f01b717a90af383d752448ac3a02d8f8fee31ad9cead2de

Observation 92a29f10-8a04-4a1f-aa54-a5b068366ad0 · inbound

An algebraic inverse theorem for the quadratic Littlewood-Offord problem, and an application to Ramsey graphs cites this paper.

An algebraic inverse theorem for the quadratic Littlewood-Offord problem, and an application to Ramsey graphs Singularity of random Bernoulli matrices

Reference 47

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:17:51.530991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T05:17:51.485865Z digest=sha256:86f52951d34d7c7d5247f36d43a78f7d9a2c76fe518967d98c3ee43fccc2e4c2