Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-10T21:23:24.878047Z
Paper Citation Record · LEDGER
On the smallest singular value of the product of random and deterministic matrices
As of 20 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2607.06785.
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 2026-08-20T06:33:59.587034+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
19 of 19 outbound references displayed
- verified exact1
- verified fuzzy13
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 37e4c670-dae0-4bd3-9389-9dab1880d37c · outbound
This paper cites an unresolved cited work.
On the smallest singular value of the product of random and deterministic matrices Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-07-10T21:27:40.189092Z
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.
Observation 715fab56-0fe5-4d5a-8555-d40234ca1c61 · outbound
This paper cites Math.310(2017), 426–483.
On the smallest singular value of the product of random and deterministic matrices Math.310(2017), 426–483
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T21:27:40.222569Z
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.
Observation 1191540a-9f39-4958-b192-5993189b44a7 · outbound
This paper cites The smallest singular value of inhomogenous random rectangular matrices.
On the smallest singular value of the product of random and deterministic matrices The smallest singular value of inhomogenous random rectangular matrices
Reference 3
- Resolution
- verified exact
- local_arxiv, observed 2026-07-10T21:27:35.651719Z
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.
Observation 661e0312-8680-4af6-9aad-b67f65694317 · outbound
This paper cites Matrix Anal.
On the smallest singular value of the product of random and deterministic matrices Matrix Anal
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T21:27:40.238998Z
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.
Observation 5112dc4e-24bf-43c9-a0c6-4333aa6951f5 · outbound
This paper cites MR 1133335.
On the smallest singular value of the product of random and deterministic matrices MR 1133335
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T21:27:40.238800Z
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.
Observation 1b486915-3ab9-4ddd-8e73-21762333dcf7 · outbound
This paper cites an unresolved cited work.
On the smallest singular value of the product of random and deterministic matrices Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-07-10T21:27:40.174342Z
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.
Observation 879596b3-dd86-4cdf-bccc-da13b0d9a3db · outbound
This paper cites an unresolved cited work.
On the smallest singular value of the product of random and deterministic matrices Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-07-10T21:27:40.094574Z
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.
Observation dbaa3ee6-0a26-41e8-88a0-60652ebb619b · outbound
This paper cites Litvak and Omar Rivasplata,Smallest singular value of sparse random matrices, Studia Math.212 (2012), no.
On the smallest singular value of the product of random and deterministic matrices Litvak and Omar Rivasplata,Smallest singular value of sparse random matrices, Studia Math.212 (2012), no
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T21:27:40.126818Z
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.
Observation 49b2b393-a92b-42ac-a7a9-a13233d90626 · outbound
This paper cites Livshyts,The smallest singular value of heavy-tailed not necessarily i.i.d.
On the smallest singular value of the product of random and deterministic matrices Livshyts,The smallest singular value of heavy-tailed not necessarily i.i.d
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T21:27:40.143259Z
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.
Observation f1d903e1-2d02-4a13-9c83-c1f8ff0c9c99 · outbound
This paper cites Probab.49(2021), no.
On the smallest singular value of the product of random and deterministic matrices Probab.49(2021), no
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T21:27:40.176762Z
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.
Observation 21f9b8e2-e6d7-4e21-a021-da0c5c950d6b · outbound
This paper cites heavy-tailed entries, Israel J.
On the smallest singular value of the product of random and deterministic matrices heavy-tailed entries, Israel J
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T21:27:40.127511Z
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.
Observation 92f2da9e-1d04-431f-a429-5800fbf4afc7 · outbound
This paper cites an unresolved cited work.
On the smallest singular value of the product of random and deterministic matrices Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-07-10T21:27:40.158964Z
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.
Observation f3aed5af-beec-4e1e-ac6b-9ce311ad8b0b · outbound
This paper cites Math.218(2008), no.
On the smallest singular value of the product of random and deterministic matrices Math.218(2008), no
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T21:27:40.206591Z
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.
Observation 3d5074c9-3a20-43bf-b3cb-f5429e10581a · outbound
This paper cites Pure Appl.
On the smallest singular value of the product of random and deterministic matrices Pure Appl
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T21:27:40.078982Z
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.
Observation b0c062ae-a60e-4145-99e2-16f98d8914c7 · outbound
This paper cites an unresolved cited work.
On the smallest singular value of the product of random and deterministic matrices Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-07-10T21:27:40.028873Z
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.
Observation af41e2e8-20cb-4914-a38e-1d33058971b7 · outbound
This paper cites Szarek,Condition numbers of random matrices, J.
On the smallest singular value of the product of random and deterministic matrices Szarek,Condition numbers of random matrices, J
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T21:27:40.160016Z
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.
Observation 28728768-1642-47f1-bd73-4fed078bd82a · outbound
This paper cites Vu,Inverse Littlewood-Offord theorems and the condition number of random discrete matrices, Ann.
On the smallest singular value of the product of random and deterministic matrices Vu,Inverse Littlewood-Offord theorems and the condition number of random discrete matrices, Ann
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T21:27:40.044777Z
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.
Observation fc53ca8f-8418-4b58-97ec-b27cf1ef4d6c · outbound
This paper cites Theory Related Fields150(2011), no.
On the smallest singular value of the product of random and deterministic matrices Theory Related Fields150(2011), no
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T21:27:40.062344Z
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.
Observation 568e8336-8986-44b1-b645-683ca31bbecf · outbound
This paper cites 47, Cambridge University Press, Cambridge, 2018, An introduction with applications in data science, With a foreword by Sara van de Geer.
On the smallest singular value of the product of random and deterministic matrices 47, Cambridge University Press, Cambridge, 2018, An introduction with applications in data science, With a foreword by Sara van de Geer
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T21:27:40.013941Z
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.
Pith citing papers
No inbound Pith citation observations are available.