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Paper Citation Record · LEDGER

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

As of 9 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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-02T02:42:58.619308Z digest=sha256:5f92d6805134678e16cce35231a2a5ed2506af5b65d399ec3f439763cca7795f

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:b0619d93813778faba4fe5ada17b1a80dc24474bf023fb2ecfddcab3d9ece678

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=sha256:06f92ff3972487327392e2c716274e77e880cf1d3e9f3ef837ee7b4c27c291a3

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=sha256:9216bb1895b573dbfd01b24ff668ae795c8ce9315f4d6b5a6bff662c23c0831d

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:e41bc10c6880a25bf854511bd4f7f0ce77814d366b4c6f013e690e3820f2e2ed

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=sha256:7e4950eac6796cd42fd6db5c953ccf6e8a0eec0e88145c2258c018ed6d69b078

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=sha256:474c2c9eb932a33c83c8d537f53c4cd9e286bc3e53ed894c15cd91b108480081

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:ebc51cb067f2ee5cf8ad92a741943d2b8169b2b3a9769283e81124c41183348c

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=sha256:1531836084f66bcda4fac193c2fc5048cf05665e5c6b281adc4ff2a9fef6bd3a

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:cfff15cee27b4bf942e61914d4667464550eaa02dc66fd9bed6c1cff80759dc6

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=sha256:7f1a0f111826b32fd1c1af73a7d974ce604c3ad07884fd6c7655464ff52da914

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=sha256:7b6b809c2268d7c0fc23f59738bcca307062a9a04ba82a49897fff50c7744d5a

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=sha256:8fc1e79710246c99cf5f1de5bdd0ed8c52a164b6a2e59c24f7cd452452d07b77

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:f4930eb7b86d35a3fe0906aece13197b26162ab62acac98da8a609bbc0c5f8fb

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=sha256:23babdc60fac51aa36ea530db43c6c58240e6802698eb40ee3f55a213a10b1e2

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:f2ebd81b6b503934b30ec1fd7b60554778efd2c2b57b8150cf97e092ae062b13

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=sha256:15b117ffd730572b24e004d59c45030d3b903b774819a8e20c9843d6cb44a695

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:c8ea07d2d65ebaa88a0eee4167b5dc4f28e21376db06449601d1d58aad4638bb

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:e7a6a237ba54939192c740d76e4fb0ea4eecab921bc0eb7317aff54964217467

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=sha256:1335a11e050853c3d03d7100b31db148be8c69cc208efa0ab055b23f62904d98

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-02T02:42:58.120209Z digest=sha256:37843d4f2d6ec7819286a00c2663112cce5ef94dba33b6461ddd706bdba74d0c

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:a7486cf3433f274335ae27eb7e71f94ec64d8a8c997288bd4e573a4b47fc9d60

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=sha256:1c2059f3043722e34c9aaaf8cfe47ffbeefee3c3307ed361edbfa97ff1cde531

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=sha256:5a7965cd221c83b1a2c7b8f94bf3213516ced97c4963e79d51381c6cee893b51