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Paper Citation Record · LEDGER

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

As of 12 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 2026-08-12T06:34:41.77262+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

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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:26:04.307422Z digest=sha256:c29b705f8056bd8b04ac37487c7aa0479288e87f0fb656d16113b9485021c28f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:26:04.433800Z digest=sha256:49ced4bb49ec7a25e635c518b8c6c9b6e50ef8b81f31d042185328a59902e78c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:26:04.593461Z digest=sha256:5e6f480e025fdc17f96beb379c9087e5ad5d55a56187073bc7867274e5e01183

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:26:04.762156Z digest=sha256:3f03b6db71f0adfc83fadc8fc1564a5fdf47ddd311b84aecf7e07de4a2d4972a

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:26:04.859951Z digest=sha256:8d4ce980e56f66fdc8fd5b5d1683d8956b1242f6ea8a06cea0c2725036a7e053

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:26:04.910574Z digest=sha256:7f3d5581559e60c40dd24b7f9465cae999a7c8a648cf2949d46c662882a4ae3d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:26:04.990090Z digest=sha256:32b5e36b8df8afd9b94edcd53012404e37b17d6077fa23a614198a723d9d485f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:26:05.075293Z digest=sha256:1f195d9c932bf2ba0fbcb097740482357135c0f66b29d1c973607400a857c35a

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.

source=pdf_text observed=2026-08-06T16:26:05.164307Z digest=sha256:4fe5f05d2a8bf7ff039a4d75b39fa4bc8e98d08fdd7be75f959470d06bcf7af3

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:26:05.248040Z digest=sha256:2a08115819031bf5f196e138a178eefcde40b0626828dcc9f07324cad60d12fa

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:26:05.337836Z digest=sha256:5e56ba4d8a267efada8e4cb684924752d151722cffba43ab4d2cb4e8912b3480

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:26:05.423856Z digest=sha256:ad57511fa39b0d58a790d0258c1fc0999473b22e84592b3c074063bc54fd44e2

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 2026-08-12T06:34:41.77262+00:00.

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Pith citing papers

No inbound Pith citation observations are available.