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Paper Citation Record · LEDGER

Spectral radii of sparse non-Hermitian random matrices

As of 13 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 2026-08-13T06:32:02.005865+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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:53:14.824123Z digest=sha256:e827d6b55eaf59ac8dae8f93927e3c9fd7ae06684f0ae1d09d1701efb40334b7

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:53:14.828721Z digest=sha256:d8a09d0307ee2458dfce6d0ef658394776b17a837d103085481a95b2c94156a7

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:53:14.832708Z digest=sha256:16b9bd280728b4af020e919a9fbba25f6d065a2a5d91a4b11a684673890c130e

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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:53:14.837018Z digest=sha256:b159cbbc679c11e5d761407981a3417e67d52aa1842421f4ce4b9df182c98cb3

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:53:14.841390Z digest=sha256:2898c395ea8dbd5fee544c22cb59b6d53c678d70e475e61d0ca9eb12d624f152

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:53:14.850527Z digest=sha256:cafb419e4fd063199a2de9d9d888913ef81beee51e06fc54e98a6d3fe82d75c9

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:53:14.854582Z digest=sha256:b3baf249cd0e7a0f098fe256e6908aac043d8e0e5f1c1efccc970d359921d031

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:53:14.858944Z digest=sha256:d00ec61a6c42a418a2b3d0532f6f70876f4d009dbae242848fdb127c1deb77f1

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:53:14.863287Z digest=sha256:9ca923723ee6cec16c0d7c5e7b7656599063aa42938b8bb46efdf1d9a27066d4

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:53:14.867101Z digest=sha256:0a18b5a64b1129b952e0b02d3909b4fee21d72bccfaf132bba5d5ac49ac234db

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:53:14.870714Z digest=sha256:dc2b36ec39f5ecd2ecb09b5492d9a365791c9ef5ee9e7d0c54ac7aa34d260d94

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:53:14.874609Z digest=sha256:4502ec9e61083b920033fda6cd86362f1beb4c637aa979479e05ed2f4badb0a6

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:53:14.878084Z digest=sha256:3df2818cde3b6e50f04dbf3c6d703fb2e60a844e3ac0d7b9fef7d983b714e5e4

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:53:14.881585Z digest=sha256:3e418f42a255659253c3bada66798c6dbf08a48ffb344b03289e917af86d8004

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:53:14.886225Z digest=sha256:de2d97d310ddd67134408c33f63ec53dcc949cc01f696650682efc669ca96bf8

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:53:14.890308Z digest=sha256:419188520027f5676dd4a6ef8815bb103f34f741a3cb8f3272c17676fb852945

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=sha256:37ecd21ac8f09fb094db760e0c8bc723f6fbd4751a67ed91d4d86e5192b52160

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T04:53:14.899803Z digest=sha256:6d368f172cba6a72b7d853c296c2a24dd2b5ce7cc91c0f75ffe9e343e0788b9e

Pith citing papers

No inbound Pith citation observations are available.