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Paper Citation Record · LEDGER

Sharp Square Root Bounds for Edge Eigenvector Universality in Sparse Random Regular Graphs

As of 13 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2507.14259.

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

pith.paper-citation-record.v1
2507.14259 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:26:05.521202Z

measured 14 of 14 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

14 of 14 outbound references displayed

  • verified exact0
  • verified fuzzy7
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1233f67b-71bd-402c-a1b3-f236d670179b · outbound

This paper cites an unresolved cited work.

Sharp Square Root Bounds for Edge Eigenvector Universality in Sparse Random Regular Graphs Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:26:07.915776Z

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.

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Observation 7fd0533e-d8bc-4d7b-9c6c-8f0157fde3ca · outbound

This paper cites an unresolved cited work.

Sharp Square Root Bounds for Edge Eigenvector Universality in Sparse Random Regular Graphs Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:26:07.786962Z

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=2026-08-06T16:26:04.307422Z digest=sha256:5fd2e26e81b7127dee2b63ff816c81c3909bb4f7d48cb54a7cd185ce96b4d678

Observation 6f4e63ce-70f4-4566-af02-173dfa1fa706 · outbound

This paper cites European J.

Sharp Square Root Bounds for Edge Eigenvector Universality in Sparse Random Regular Graphs European J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:26:07.572396Z

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=2026-08-06T16:26:04.433800Z digest=sha256:9b4f82cafe3dc2987dadc3eac6eb8c6d9f0b7a392862abc9dd631a9a0812efba

Observation f79f3567-a8e5-4892-ada2-a357c052038c · outbound

This paper cites M., and Richthammer, T.: Proof of Aldous’ spectral gap conjecture.

Sharp Square Root Bounds for Edge Eigenvector Universality in Sparse Random Regular Graphs M., and Richthammer, T.: Proof of Aldous’ spectral gap conjecture

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:26:07.385086Z

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=2026-08-06T16:26:04.593461Z digest=sha256:b1b65848d30b67f642cf217f27b5761a289cae96c07989bd1424c7e4b6048af1

Observation 2b2108d2-2825-48cb-99b8-282f1747072a · outbound

This paper cites an unresolved cited work.

Sharp Square Root Bounds for Edge Eigenvector Universality in Sparse Random Regular Graphs Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:26:07.168360Z

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=2026-08-06T16:26:04.762156Z digest=sha256:a3acaa8b01b50d8479fd2ab99290334e550b852c1267aca465a5d7a79ef0324e

Observation 80f68e45-3a69-4381-aa41-295d03eb739b · outbound

This paper cites and Yau, H.-T.: A dynamical approach to random matrix theory.

Sharp Square Root Bounds for Edge Eigenvector Universality in Sparse Random Regular Graphs and Yau, H.-T.: A dynamical approach to random matrix theory

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:26:07.042226Z

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=2026-08-06T16:26:04.859951Z digest=sha256:ca2c626aff232446e95f7f3190482e65e2687c464202e117ac8ef198f9fc7360

Observation 0c321bd7-5d10-4962-9ea1-cf55b7798b3b · outbound

This paper cites A.: On tail probabilities for martingales.

Sharp Square Root Bounds for Edge Eigenvector Universality in Sparse Random Regular Graphs A.: On tail probabilities for martingales

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:26:06.848976Z

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=2026-08-06T16:26:04.910574Z digest=sha256:8de1a35e3a6a3bab8214a3119529396c35118819b077f304182247d07357ee2d

Observation 2ebda645-2906-4489-9277-67f4b77e7c69 · outbound

This paper cites an unresolved cited work.

Sharp Square Root Bounds for Edge Eigenvector Universality in Sparse Random Regular Graphs Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:26:06.661894Z

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=2026-08-06T16:26:04.990090Z digest=sha256:8ae758764137ef0761386a29f39ff4c511f344688bad605412b540fc56f33c11

Observation 3f755b41-b355-4789-9be3-baf6e5f5edd9 · outbound

This paper cites A., Bourgade, P.: Extreme gaps between eigenvalues of random matrices.

Sharp Square Root Bounds for Edge Eigenvector Universality in Sparse Random Regular Graphs A., Bourgade, P.: Extreme gaps between eigenvalues of random matrices

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:26:06.480885Z

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=2026-08-06T16:26:05.075293Z digest=sha256:10ddc1b2e30a76aa206f1dcf4bbc9633b624a8d47ad7f39b57ff882844c9d9cb

Observation b414dda5-f972-4ec1-b52e-b96efe19be9d · outbound

This paper cites Edge Universality of Sparse Random Matrices.

Sharp Square Root Bounds for Edge Eigenvector Universality in Sparse Random Regular Graphs Edge Universality of Sparse Random Matrices

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-06T16:26:05.164307Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 035c6694-da3f-4c53-91ca-a6293946d9af · outbound

This paper cites In Probabilistic methods for algorithmic discrete mathemat- ics, 195–248, Algorithms Combin., 16, Springer, Berlin, 1998.

Sharp Square Root Bounds for Edge Eigenvector Universality in Sparse Random Regular Graphs In Probabilistic methods for algorithmic discrete mathemat- ics, 195–248, Algorithms Combin., 16, Springer, Berlin, 1998

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:26:06.340860Z

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=2026-08-06T16:26:05.248040Z digest=sha256:ff4c46c00aed90fdb921759e64369f30edbf6c1529c27ceedad2fff6e30411ea

Observation cd6ac00e-d39c-4a9f-a590-18c345ad91b9 · outbound

This paper cites Quantitative Edge Eigenvector Universality for Random Regular Graphs: Berry-Esseen Bounds with Explicit Constants.

Sharp Square Root Bounds for Edge Eigenvector Universality in Sparse Random Regular Graphs Quantitative Edge Eigenvector Universality for Random Regular Graphs: Berry-Esseen Bounds with Explicit Constants

Reference 12

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T16:26:05.713211Z

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=2026-08-06T16:26:05.337836Z digest=sha256:6cf2e8b6437d9bc9fb7290b5538f2e6269e0ef11dc261fa3eb78b38eb5d9127e

Observation aa67d760-ed0a-4388-b79f-8ede6f57f9a3 · outbound

This paper cites In Proceedings of the Sixth Berkeley Symposium on Math- ematical Statistics and Probability , Vol.

Sharp Square Root Bounds for Edge Eigenvector Universality in Sparse Random Regular Graphs In Proceedings of the Sixth Berkeley Symposium on Math- ematical Statistics and Probability , Vol

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:26:06.155545Z

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=2026-08-06T16:26:05.423856Z digest=sha256:9548531befb99e3b9aa8e343a56a8cf1bf3ca5d9aec8d7588579b8ffa405b316

Observation 46cb357a-d28a-483e-964e-40fcb3063882 · outbound

This paper cites an unresolved cited work.

Sharp Square Root Bounds for Edge Eigenvector Universality in Sparse Random Regular Graphs Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:26:05.943225Z

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=2026-08-06T16:26:05.521202Z digest=sha256:8bb6a1206172b993045d7b8e96fa35830bdf143d1d2ca9ec1e0a88b61495ca8a

Pith citing papers

No inbound Pith citation observations are available.