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Paper Citation Record · LEDGER

Spectral radii of sparse non-Hermitian random matrices

As of 12 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2412.01086.

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

pith.paper-citation-record.v1
2412.01086 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T04:53:14.899803Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

19 of 19 outbound references displayed

  • verified exact1
  • verified fuzzy15
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c1e23850-e985-493b-8ce2-2187b7b1acd8 · outbound

This paper cites The circular law for spa rse non-Hermitian matrices.

Spectral radii of sparse non-Hermitian random matrices The circular law for spa rse non-Hermitian matrices

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:53:15.167451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T04:53:14.824123Z digest=sha256:5ea2926e508b01a434ea1398e9edd16c390713082a25e9469eb7d6d4c87b7e58

Observation cd1e60d4-b48b-49d5-a0bb-69accc00746a · outbound

This paper cites Spectral radii of sparse random matrices.

Spectral radii of sparse non-Hermitian random matrices Spectral radii of sparse random matrices

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:53:15.154865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 3d0ad0b7-a66c-4b14-a4d9-df8dedff7bea · outbound

This paper cites Bhattacharya, Sohom Bhattacharya, and Shirs hendu Ganguly.

Spectral radii of sparse non-Hermitian random matrices Bhattacharya, Sohom Bhattacharya, and Shirs hendu Ganguly

Reference 3

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verified fuzzy
raw_fallback, observed 2026-08-12T04:53:15.143900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T04:53:14.832708Z digest=sha256:13fb7924d966526f6df48342ca59df3d0c1337805e0eff6295893b152c05e782

Observation 41085933-ee2e-4398-a145-f85423eb3769 · outbound

This paper cites On the spectral radius of a random matrix: An upper bound without fourth moment.

Spectral radii of sparse non-Hermitian random matrices On the spectral radius of a random matrix: An upper bound without fourth moment

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:53:15.131817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T04:53:14.837018Z digest=sha256:88c0192f8eb692345fc722d9b584313408dbaa621dc3fbad670ab0ce5d875013

Observation f366bef8-2eff-4b9d-b5b1-76f8fbf878bc · outbound

This paper cites Convergence of the spectral radius of a random matrix through its characteristic polynomial.

Spectral radii of sparse non-Hermitian random matrices Convergence of the spectral radius of a random matrix through its characteristic polynomial

Reference 5

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verified fuzzy
raw_fallback, observed 2026-08-12T04:53:15.119658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T04:53:14.841390Z digest=sha256:d05c9af6b481740824b5bc55490de2d8d9cac3f3696afb8c68034b272a1c0329

Observation ad5a5932-df47-4b86-b337-657082ba9281 · outbound

This paper cites Spectral large deviations of sparse random matrices.

Spectral radii of sparse non-Hermitian random matrices Spectral large deviations of sparse random matrices

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-12T04:53:14.845395Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T04:53:14.845395Z digest=sha256:e95d2606d4c14f74e02d34ec0a64bd316d4d87b6d907ad199f432a21d4b4c753

Observation 5eab1ceb-9627-4569-8754-aca976cb9dc1 · outbound

This paper cites Large deviations for the largest eigenvalue of Gaussian networks with constant average degree.

Spectral radii of sparse non-Hermitian random matrices Large deviations for the largest eigenvalue of Gaussian networks with constant average degree

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:53:15.107818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T04:53:14.850527Z digest=sha256:6d805bde875c19e5a26ab2c24a7b06f9414c43eefb065d1cbbd909653fce97fb

Observation 17874e58-6721-466a-9d53-6fbe20079a1e · outbound

This paper cites The spectral radius of large random matric es.

Spectral radii of sparse non-Hermitian random matrices The spectral radius of large random matric es

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:53:15.096133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T04:53:14.854582Z digest=sha256:155b4842f4cdecb238e3e64876fdb429b7dae7eca8456fb75224905d7cd7a45d

Observation 142feefd-7ec0-47ba-9390-38e7d4040b33 · outbound

This paper cites Large deviations for the largest singular value of sparse non-Hermitian matrices.

Spectral radii of sparse non-Hermitian random matrices Large deviations for the largest singular value of sparse non-Hermitian matrices

Reference 9

Resolution
metadata mismatch
local_arxiv, observed 2026-08-12T04:53:14.968277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T04:53:14.858944Z digest=sha256:877656e4c2567e16b1bb177b19e065130feafd8132e45ac5431e604b397a4a00

Observation 0d52336b-11a1-4b16-ae84-f072bb58c7c3 · outbound

This paper cites Khorunzhy, Sparse random matrices: spectral edge an d statistics of rooted trees, Advances in Applied Prob- ability, 33(1):124-140, 2001.

Spectral radii of sparse non-Hermitian random matrices Khorunzhy, Sparse random matrices: spectral edge an d statistics of rooted trees, Advances in Applied Prob- ability, 33(1):124-140, 2001

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:53:15.082131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T04:53:14.863287Z digest=sha256:1db7e19039ea33fcab7a470ed4b7b033df98100fda7d4b696989745680f66475

Observation b3008708-64c4-4ceb-90dd-c35a5891a3a4 · outbound

This paper cites Linear Algebra and its Applications, 431(11):2134-2141, 2009.

Spectral radii of sparse non-Hermitian random matrices Linear Algebra and its Applications, 431(11):2134-2141, 2009

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:53:15.070559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T04:53:14.867101Z digest=sha256:8bd508ec93365ee6062f498cf9b533aa70138eecd0bca9c998cf1e666e38db1e

Observation 2a8bc9d6-63d7-4fa6-92db-1eb444c8bfbb · outbound

This paper cites The largest eig envalue of sparse random graphs.

Spectral radii of sparse non-Hermitian random matrices The largest eig envalue of sparse random graphs

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:53:15.058694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T04:53:14.870714Z digest=sha256:7eb72183975abce2e2b148e082f54736148b1a91379bbab1a8834b0bb88b0451

Observation 7dec0841-2269-4112-b075-a169fbde883b · outbound

This paper cites Journal of Graph Theory, 14:217-223, 1990.

Spectral radii of sparse non-Hermitian random matrices Journal of Graph Theory, 14:217-223, 1990

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:53:15.044791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T04:53:14.874609Z digest=sha256:2ff32a05933b94b5ebf226e806b96325ffd49205543d2244a2192f53893bd01b

Observation 9fb81643-a142-427b-a99a-72dea9286232 · outbound

This paper cites The critical behavior of random digraphs.

Spectral radii of sparse non-Hermitian random matrices The critical behavior of random digraphs

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:53:15.031572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T04:53:14.878084Z digest=sha256:f06b349d79e823b48b869bf89145fdd34926031283baf2ea78be45ca2ee7da8f

Observation be473760-f71b-4a0f-9bad-5e46b3610a1b · outbound

This paper cites On the probability that a random digraph is acyclic.

Spectral radii of sparse non-Hermitian random matrices On the probability that a random digraph is acyclic

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:53:15.017824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T04:53:14.881585Z digest=sha256:d1f79a4f08e140a9e75d251109542158da52da1cdc1e342aa98e071c7442990c

Observation a8f3093a-6367-4638-a813-3b9d4f5ebf59 · outbound

This paper cites The sparse ci rcular law under minimal assumptions.

Spectral radii of sparse non-Hermitian random matrices The sparse ci rcular law under minimal assumptions

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:53:15.004454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T04:53:14.886225Z digest=sha256:468fbdfa1024b7540de1ef19a412ae927adc161b9eec0ac32a1dcfdfc2f02b1f

Observation 5d1522f0-331c-4963-91cd-41cd4807d7ff · outbound

This paper cites The sparse circular law, revisited.

Spectral radii of sparse non-Hermitian random matrices The sparse circular law, revisited

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-12T04:53:14.949527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T04:53:14.890308Z digest=sha256:dc56be0f578f6617ee700466ae2dd68ba2f1d2e0b6ebefe2cddce5caef49f7b6

Observation 98a6dddf-aab2-4717-a978-52bea13ba19b · outbound

This paper cites The limiting spectral law for sparse iid matrices.

Spectral radii of sparse non-Hermitian random matrices The limiting spectral law for sparse iid matrices

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-12T04:53:14.895257Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T04:53:14.895257Z digest=sha256:a820583d2526af2916d0c677abc7b68804cc77957e7544e82db089fff315e2c9

Observation 44ede368-9168-4603-9e47-9b972b832937 · outbound

This paper cites Outliers in spectrum of sparse Wigner matrices.

Spectral radii of sparse non-Hermitian random matrices Outliers in spectrum of sparse Wigner matrices

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:53:14.991922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T04:53:14.899803Z digest=sha256:584fefdea5eb2cc857f022fa8cd1ce3c5d555fecb55613aa99a14cd03f7caf53

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