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Paper Citation Record · LEDGER

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs

As of 10 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2607.14304.

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

pith.paper-citation-record.v1
2607.14304 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T02:43:00.493042Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-30T14:54:58.913625Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

23 of 23 outbound references displayed

  • verified exact2
  • verified fuzzy0
  • unresolved21
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 98cde1b9-76b7-4fde-bd8b-7d522d7d4ad6 · outbound

This paper cites an unresolved cited work.

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs Unresolved cited work

Reference 7

Resolution
verified exact
doi, observed 2026-08-02T02:43:21.269514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-02T02:42:58.619308Z digest=sha256:5a2597c15fbb0d6ec9c727e89b1ac1fde2b59bfafaf9c9980b8b8900595028c2

Observation 8933a224-9603-4e16-82a4-23551e934a5d · outbound

This paper cites an unresolved cited work.

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-02T02:42:59.082255Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:42:59.082255Z digest=sha256:6cb70730bf0c0369579afeaa9873d2c4eeef22c3503cfc263a7aed7c455a892f

Observation 408e6919-93e6-4ad9-bb88-eab349ea7235 · outbound

This paper cites Mao and S.

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs Mao and S

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-02T02:42:59.945751Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:42:59.945751Z digest=sha256:b06555c6d3cf84872baf4a8aa94f875712cb31a4bc07a7c2762c25e21514b8fd

Observation 3d84473f-031f-4e49-8246-dc277a37b20d · outbound

This paper cites an unresolved cited work.

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-02T02:43:00.100672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:43:00.100672Z digest=sha256:048cf7d1c5f0e51fdcfe049915fc1ea7002e83b0bbe8a8fbefcde8a705185930

Observation 0668c3e7-eb4f-45a0-a855-fa4a4b13db1f · outbound

This paper cites an unresolved cited work.

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-02T02:43:00.332967Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:43:00.332967Z digest=sha256:0924687b4aa2de88ac49ea9640be429c70fd77483cd0790a61478f8ad65f9682

Observation 6bbfa119-132f-4782-86cc-cd9d1e8e3b99 · outbound

This paper cites an unresolved cited work.

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs Unresolved cited work

Reference 1941

Resolution
unresolved
no resolver link, observed 2026-08-02T02:42:58.932193Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:42:58.932193Z digest=sha256:9aa7da8a8ce9aaac656a6c37b8632dabcc6a8ad3780df87bb3775ee3abc57e3a

Observation 3652d648-678f-4298-8daa-68f4cc597cc8 · outbound

This paper cites an unresolved cited work.

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs Unresolved cited work

Reference 1948

Resolution
unresolved
no resolver link, observed 2026-08-02T02:42:59.219628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:42:59.219628Z digest=sha256:0f95b95d7432b38764c2a26eb972eeb4ecf253803e4f4ac9f5e10aab09e045e5

Observation d992bcb2-72c3-4824-bb80-e30a2e0a98ff · outbound

This paper cites 10500830.

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs 10500830

Reference 1963

Resolution
unresolved
no resolver link, observed 2026-08-02T02:42:59.335468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:42:59.335468Z digest=sha256:625267b75aa4730d579b5682b3162755d5a345e817e5afc60142bf8e69102633

Observation ddfcfb53-13d7-45bb-ba3b-b930a9551f54 · outbound

This paper cites an unresolved cited work.

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs Unresolved cited work

Reference 1984

Resolution
unresolved
no resolver link, observed 2026-08-02T02:42:59.593738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:42:59.593738Z digest=sha256:3eaa137edfe1325c1ec87ad4390232422e1e30c15b097a4b65e2972b5d0fdd2d

Observation 6ef438e6-b93d-4d45-b675-3684fd190d9d · outbound

This paper cites an unresolved cited work.

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs Unresolved cited work

Reference 1996

Resolution
unresolved
no resolver link, observed 2026-08-02T02:43:00.422112Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:43:00.422112Z digest=sha256:7f30db118cc34625ed0543790f4e50dbcb418a4c460f6ad96942a132bb61e0cf

Observation 105e2f08-2161-4cc7-9afb-fef65af7396a · outbound

This paper cites Universality and sharp matrix concentration inequalities.

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs Universality and sharp matrix concentration inequalities

Reference 2008

Resolution
unresolved
no resolver link, observed 2026-08-02T02:42:58.440518Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:42:58.440518Z digest=sha256:fc8f74a9931f2919b5c541d5866eef20736751a1b9b697e4974fcdaab1e3d351

Observation c43f0654-1be7-49cc-9c83-46589e9dcf4f · outbound

This paper cites Kaushik, J.

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs Kaushik, J

Reference 2012

Resolution
unresolved
no resolver link, observed 2026-08-02T02:42:59.477261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:42:59.477261Z digest=sha256:7987ddd7118127d3bd61dc56d3bc6c5674e05c3929de5cba595c6caaf94c3ace

Observation 14cacd27-4103-4f0d-b662-e5c646370240 · outbound

This paper cites Resolution of the Detection Threshold Conjecture for Random Geometric Graphs in the $d>n$ Regime.

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs Resolution of the Detection Threshold Conjecture for Random Geometric Graphs in the $d>n$ Regime

Reference 2014

Resolution
unresolved
no resolver link, observed 2026-08-02T02:42:58.698874Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:42:58.698874Z digest=sha256:00cc5605187c926e7fab15423d904e76cf0bde00bf0e9dce95000e9ca6fe8be9

Observation 50e0f246-dabd-4e59-aa6b-083dbc9cd8fc · outbound

This paper cites Spectra of high-dimensional sparse random geometric graphs.

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs Spectra of high-dimensional sparse random geometric graphs

Reference 2016

Resolution
unresolved
no resolver link, observed 2026-08-02T02:42:58.548552Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:42:58.548552Z digest=sha256:eb4b808f691f4d2f17a07f2d67271d850aff7ac35f9602b6eed54952ba9897c9

Observation ae595f4d-1558-4e82-9a47-386aab77dd31 · outbound

This paper cites Unified $\ell_{2\rightarrow\infty}$ Eigenspace Perturbation Theory for Symmetric Random Matrices.

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs Unified $\ell_{2\rightarrow\infty}$ Eigenspace Perturbation Theory for Symmetric Random Matrices

Reference 2017

Resolution
unresolved
no resolver link, observed 2026-08-02T02:42:59.707124Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:42:59.707124Z digest=sha256:e1097c418809cd17b8d413792433707b4810eef3f2a108c0124c9833741adcb0

Observation 5b9ace70-e6b7-42e0-b58b-2c1144cbba9b · outbound

This paper cites Wang and Y.

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs Wang and Y

Reference 2018

Resolution
unresolved
no resolver link, observed 2026-08-02T02:43:00.493042Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:43:00.493042Z digest=sha256:c50275d06e8890f785a08573b9173cdf2998756c1b05949a208dd196d08aeed5

Observation 2fd13015-7411-4d85-869b-4c3b26d9b82a · outbound

This paper cites Spectral clustering in the Gaussian mixture block model.

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs Spectral clustering in the Gaussian mixture block model

Reference 2020

Resolution
unresolved
no resolver link, observed 2026-08-02T02:42:59.798536Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:42:59.798536Z digest=sha256:3ac641acc7e27f149400e7ece2a8fce3cecfba6f7db27fb09c5a5f100764add5

Observation 918f4a4b-1add-454f-9f6f-a0260088b5d1 · outbound

This paper cites Avrachenkov, B.

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs Avrachenkov, B

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-02T02:42:58.267105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:42:58.267105Z digest=sha256:f58760535bd37141c77192c5430cccbfef96a627497b7ee8885215e699a5639a

Observation d5f8846c-381f-47e5-aa68-a7af4e923757 · outbound

This paper cites an unresolved cited work.

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs Unresolved cited work

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-08-02T02:43:00.246254Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:43:00.246254Z digest=sha256:ee84ec0430c542d3d297e6c48b11f0764e323b318f7113897bcd3a29419e74a4

Observation c98be29e-a17c-4f9c-afd4-5f709be31516 · outbound

This paper cites Gaudio, C.

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs Gaudio, C

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-02T02:42:58.811513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:42:58.811513Z digest=sha256:27fd9fc75416e74bae9bf1410778ab6432da00489406d8da7e2c746ce1064191

Observation 7b563caf-5e91-4c39-aa1c-a11502123643 · outbound

This paper cites an unresolved cited work.

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs Unresolved cited work

Reference 2024

Resolution
verified exact
doi, observed 2026-08-02T02:43:21.399592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-02T02:42:58.120209Z digest=sha256:e727fbbd7c6c7aef2f9dc9a6c052e2a6311d305a64f62efd184cd9bc168c901a

Observation 1ea0a9ec-8196-4245-8dfc-749bd9bf27fe · outbound

This paper cites Matrix Chaos Inequalities and Chaos of Combinatorial Type.

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs Matrix Chaos Inequalities and Chaos of Combinatorial Type

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-02T02:42:58.322351Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:42:58.322351Z digest=sha256:deb67e8d54a6bf6c04c8aee755014cc86f7822f946f64bd37b20b756f052cbee

Observation e6629c3a-325a-4a15-94cf-b5a1d5d69f33 · outbound

This paper cites an unresolved cited work.

Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs Unresolved cited work

Reference 2026

Resolution
unresolved
no resolver link, observed 2026-08-02T02:42:58.206584Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:42:58.206584Z digest=sha256:aef89f99daa0a8d921e88b178e9e79aba82598ef4ecd2dbf02ab4d0b300dc543

Pith citing papers

Observation 6472bbea-620c-4380-b3d0-44140a6190ae · inbound

Recovery of latent inner products from an anisotropic Gaussian random geometric graph cites this paper.

Recovery of latent inner products from an anisotropic Gaussian random geometric graph Spectral Concentration and Recovery in Sparse High-Dimensional Random Geometric Graphs

Reference 2019

Resolution
unresolved
no resolver link, observed 2026-07-30T14:54:58.913625Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T14:54:58.913625Z digest=sha256:b167234da4609e5610ca5fc81534838014a43cab197b8140c8b7ae9d71624c73