Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T10:31:50.673036Z
Paper Citation Record · LEDGER
Quantitative invertibility of random matrices: a combinatorial perspective
As of 16 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:1908.11255.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
44 of 44 outbound references displayed
- verified exact5
- verified fuzzy19
- unresolved19
- parse uncertain1
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 335c266c-d194-45df-9e32-32624a7c3f8e · outbound
This paper cites Bourgain, V.
Quantitative invertibility of random matrices: a combinatorial perspective Bourgain, V
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:31:51.369013Z
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.
Observation a714e407-e3eb-402e-91dd-cebb77059531 · outbound
This paper cites an unresolved cited work.
Quantitative invertibility of random matrices: a combinatorial perspective Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:31:51.354084Z
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.
Observation 0d176c43-94bf-4fbe-85f6-8e3d20c0c737 · outbound
This paper cites an unresolved cited work.
Quantitative invertibility of random matrices: a combinatorial perspective Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:31:51.340262Z
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.
Observation 5e15fc07-15fb-4953-a5d0-6596d08c4d47 · outbound
This paper cites Erdős and L.
Quantitative invertibility of random matrices: a combinatorial perspective Erdős and L
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:31:51.326268Z
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.
Observation 65e363fa-25f0-4c81-ae68-7069b7ba776f · outbound
This paper cites an unresolved cited work.
Quantitative invertibility of random matrices: a combinatorial perspective Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:31:51.311563Z
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.
Observation ee59d8ef-dbf7-4273-80c2-c1ef20ddccf1 · outbound
This paper cites Singularity of random symmetric matrices -- a combinatorial approach to improved bounds.
Quantitative invertibility of random matrices: a combinatorial perspective Singularity of random symmetric matrices -- a combinatorial approach to improved bounds
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T10:31:50.830825Z
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.
Observation 37597d6c-5861-4fac-95e1-19c4327f8b56 · outbound
This paper cites On the counting problem in inverse Littlewood--Offord theory.
Quantitative invertibility of random matrices: a combinatorial perspective On the counting problem in inverse Littlewood--Offord theory
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T10:31:50.810539Z
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.
Observation 0e9a72d7-3816-44b7-8102-1ae67cf3f207 · outbound
This paper cites Götze, A.
Quantitative invertibility of random matrices: a combinatorial perspective Götze, A
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:31:51.297460Z
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.
Observation 3791cb96-0aca-4b7c-b81c-31a98a708324 · outbound
This paper cites an unresolved cited work.
Quantitative invertibility of random matrices: a combinatorial perspective Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:31:51.283139Z
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.
Observation 5b1543c6-0056-412e-8824-4f8105abd58a · outbound
This paper cites Approximate Spielman-Teng theorems for the least singular value of random combinatorial matrices.
Quantitative invertibility of random matrices: a combinatorial perspective Approximate Spielman-Teng theorems for the least singular value of random combinatorial matrices
Reference 10
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T10:31:50.790599Z
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.
Observation d8f37479-d8f8-44c2-a2ad-d2d3e95e9547 · outbound
This paper cites The strong circular law: a combinatorial view.
Quantitative invertibility of random matrices: a combinatorial perspective The strong circular law: a combinatorial view
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T10:31:50.770189Z
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.
Observation 6bb0706e-0214-4660-a5eb-0b144b1ea9a9 · outbound
This paper cites an unresolved cited work.
Quantitative invertibility of random matrices: a combinatorial perspective Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:31:51.268889Z
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.
Observation dccd41de-fa6b-41f1-b2a5-f75d614a8757 · outbound
This paper cites an unresolved cited work.
Quantitative invertibility of random matrices: a combinatorial perspective Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:31:51.255088Z
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.
Observation 38fade1e-1b4c-41c3-8a63-022d3be35b57 · outbound
This paper cites an unresolved cited work.
Quantitative invertibility of random matrices: a combinatorial perspective Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:31:51.241077Z
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.
Observation 41367036-be28-4408-bb18-6bfa579f45af · outbound
This paper cites an unresolved cited work.
Quantitative invertibility of random matrices: a combinatorial perspective Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:31:51.227015Z
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.
Observation f32a4079-2cf4-4156-a1db-53c8892f9dbd · outbound
This paper cites an unresolved cited work.
Quantitative invertibility of random matrices: a combinatorial perspective Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:31:51.213198Z
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.
Observation eba0f1b3-c5a8-411b-9484-0082e79b8cda · outbound
This paper cites an unresolved cited work.
Quantitative invertibility of random matrices: a combinatorial perspective Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:31:51.198324Z
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.
Observation 27fb85c0-02f8-4c44-8493-273db89b6b7f · outbound
This paper cites The smallest singular value of inhomogeneous square random matrices.
Quantitative invertibility of random matrices: a combinatorial perspective The smallest singular value of inhomogeneous square random matrices
Reference 18
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T10:31:50.747583Z
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.
Observation 9dab2ecc-afcd-4e84-8da7-a11c4cf33578 · outbound
This paper cites an unresolved cited work.
Quantitative invertibility of random matrices: a combinatorial perspective Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:31:51.183910Z
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.
Observation 0e515981-f022-4fdf-ba45-22404edfcab1 · outbound
This paper cites an unresolved cited work.
Quantitative invertibility of random matrices: a combinatorial perspective Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:31:51.169964Z
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.
Observation 6a9012fe-bc01-4024-bbaa-cf55d504887f · outbound
This paper cites an unresolved cited work.
Quantitative invertibility of random matrices: a combinatorial perspective Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:31:51.154150Z
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.
Observation 49489e3b-c50e-4f7a-b1fd-c56fcec4663a · outbound
This paper cites an unresolved cited work.
Quantitative invertibility of random matrices: a combinatorial perspective Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:31:51.140437Z
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.
Observation 58db3e26-d3ab-4351-b0a4-a7da5f4a9082 · outbound
This paper cites Rebrova and K.
Quantitative invertibility of random matrices: a combinatorial perspective Rebrova and K
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:31:51.124986Z
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.
Observation 7e4767c2-84a3-4e9f-9553-f7b7d1879cab · outbound
This paper cites Rudelson.
Quantitative invertibility of random matrices: a combinatorial perspective Rudelson
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:31:51.111039Z
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.
Observation 4d47195c-529c-4dc8-8b4d-dace75856c9e · outbound
This paper cites Rudelson and R.
Quantitative invertibility of random matrices: a combinatorial perspective Rudelson and R
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:31:51.096344Z
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.
Observation 255cf0e3-3778-4a06-b0d1-6bd2a9844407 · outbound
This paper cites Rudelson and R.
Quantitative invertibility of random matrices: a combinatorial perspective Rudelson and R
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:31:51.081460Z
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.
Observation dbaa68e7-4001-4e9d-a55d-f587fafe148f · outbound
This paper cites Sankar, D.
Quantitative invertibility of random matrices: a combinatorial perspective Sankar, D
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:31:51.067055Z
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.
Observation 8c3dd666-04c7-4414-90f3-317ac2e37639 · outbound
This paper cites Sárkőzy and E.
Quantitative invertibility of random matrices: a combinatorial perspective Sárkőzy and E
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:31:51.052560Z
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.
Observation 6d6eb15c-be1f-4300-b65d-730ee7be6d8d · outbound
This paper cites an unresolved cited work.
Quantitative invertibility of random matrices: a combinatorial perspective Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:31:51.037362Z
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.
Observation 732f803f-fab4-40e8-9015-d8f37ad24c70 · outbound
This paper cites an unresolved cited work.
Quantitative invertibility of random matrices: a combinatorial perspective Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:31:51.022675Z
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.
Observation 159d7902-9260-4c09-b769-66bd29525652 · outbound
This paper cites Tao and V.
Quantitative invertibility of random matrices: a combinatorial perspective Tao and V
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:31:51.008163Z
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.
Observation a74d5c16-6d8b-49e6-8ddb-7697538fcc2e · outbound
This paper cites Tao and V.
Quantitative invertibility of random matrices: a combinatorial perspective Tao and V
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:31:50.993713Z
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.
Observation 8e85ba2d-e18b-4f0f-9fa5-4e98251b2d60 · outbound
This paper cites Tao and V.
Quantitative invertibility of random matrices: a combinatorial perspective Tao and V
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:31:50.978897Z
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.
Observation 7584d921-dfe5-4696-8640-6b2f89614389 · outbound
This paper cites Tao and V.
Quantitative invertibility of random matrices: a combinatorial perspective Tao and V
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:31:50.963944Z
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.
Observation 9bf2c060-4a99-4095-9352-6d537f9be107 · outbound
This paper cites Tao and V.
Quantitative invertibility of random matrices: a combinatorial perspective Tao and V
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:31:50.949539Z
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.
Observation cc301975-a234-498f-8538-285f073d996d · outbound
This paper cites Tao and V.
Quantitative invertibility of random matrices: a combinatorial perspective Tao and V
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:31:50.934866Z
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.
Observation 1ded74d2-6e91-4498-94d7-3b4393f01ab5 · outbound
This paper cites Tao and V.
Quantitative invertibility of random matrices: a combinatorial perspective Tao and V
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:31:50.920722Z
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.
Observation f464773e-6e3d-4e9c-83e4-20ff6379c734 · outbound
This paper cites an unresolved cited work.
Quantitative invertibility of random matrices: a combinatorial perspective Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:31:50.905614Z
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.
Observation 5b663bff-a470-4e18-a7bd-9d7593f5c0cc · outbound
This paper cites Singularity of random Bernoulli matrices.
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.
Observation 42f2a44f-6b0c-4c6c-9da5-0ffe172c3f15 · outbound
This paper cites Introduction to the non-asymptotic analysis of random matrices.
Quantitative invertibility of random matrices: a combinatorial perspective Introduction to the non-asymptotic analysis of random matrices
Reference 40
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T10:31:50.653929Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 383b13c3-2152-4659-8dba-759c0e0d4462 · outbound
This paper cites an unresolved cited work.
Quantitative invertibility of random matrices: a combinatorial perspective Unresolved cited work
Reference 41
- Resolution
- parse uncertain
- raw_fallback, observed 2026-08-14T10:31:50.890155Z
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.
Observation 9d44f649-a894-4162-a72b-a34ab5a1ddce · outbound
This paper cites , in) ∈ [n]n−s is a permutation of [n] \ I,.
Quantitative invertibility of random matrices: a combinatorial perspective , in) ∈ [n]n−s is a permutation of [n] \ I,
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:31:50.875805Z
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.
Observation 055b507c-d576-49e5-9d08-d19fbfa2165f · outbound
This paper cites , ℓj,2k) is a sequence of 2k elements of [n], and.
Quantitative invertibility of random matrices: a combinatorial perspective , ℓj,2k) is a sequence of 2k elements of [n], and
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:31:50.861409Z
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.
Observation cab7d14a-ab4d-4264-be65-fd4d6ec94f2c · outbound
This paper cites ℓj,2k = ij and b.
Quantitative invertibility of random matrices: a combinatorial perspective ℓj,2k = ij and b
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:31:50.845933Z
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.
Pith citing papers
No inbound Pith citation observations are available.