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Paper Citation Record · LEDGER

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

As of 22 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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-02T02:42:58.619308Z digest=sha256:c59aa43c480fc5b58b2c89d355aa3cc8197bb21dc6d57bb0c58b8aea46007b0a

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:af88ae01a50fbade8569b246536f140f9d4345ad0e8f228588cc2432b4d6f7be

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:f18247ed75806676cf4674b761ec173933399f202d5cb7081b934b5929464edd

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=sha256:2849fe0b7b0e9a31baa242a4095b99171aea2aa3307e17baffb20c7f02c7f517

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=sha256:14c6cac633ddbe1ca6484b154434a0dce4c519979ec24d5f13ada6d5496017f3

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:e19803fafe0b744c6fbc7666213105b23c28975e284b2baf1470547a3426ed9b

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=sha256:9853d0ca3f9b0d15cc67f8c7e34d71ab92350e5ae2517c68ee1901c474cbc402

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=sha256:9b4e6186635acb06cb2585a4219f3568ebac52d6d926328e09ce33bac345d4c7

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:dbe9064ed4270b08620aa41e44f7c9ba8d727f17254ca65f5c77bc948e11d092

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=sha256:48cee2d772300f14a656125fd98fef6e66bdaabad9d591eea17479db237991c5

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:d89bee2ead5df3649663c60043eb226096e84c8dea4694e92149283d844d7adf

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=sha256:4ccbd7ec25f94416b97789343677420629420c3e34c54553c33ec04bbd55101c

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=sha256:12ec16a8bbcd28507658558a546dfddd203666be418c018b52e28662d2ecee2a

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=sha256:44d1891f80f65a4e7198dca5988624f6af5aaa9e69a73c2aadcf6940bb3f060d

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=sha256:85dc3134c5913a342451195a40a342ee8a7b2d270c046ff3bd0b510b38307cdc

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=sha256:3d433b6d742e9260915d956d7b6490e52f74cbd12190c86a0a74cf7622683bc4

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:c2adc527a8620a9fae28d4c40838699831f19f38a8545427731ae389b2931b28

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=sha256:4a2c42ac547c8e9bbb589eb5ee9b989790e899e0538b1b7e923b5cce0dd81f31

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:f0756dbd7c80ddfef6ba9a31664682637514c5e6c6606417623d4cc44eab3d2a

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=sha256:7ea5bd845ab995252221dcdb4108668ecb3d7abce68c84bb1a8ac5688f8a3fd3

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-02T02:42:58.120209Z digest=sha256:e067140607251016a3c1cdf03be78e0914c79b2278888cacec7b3b7ab03ac6d3

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:eea65769b80c18b1dc141882144937ec4743abb53de1890cb29a48af295862cc

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:e6a7a3341cc9204524bf030d4e2eff71246214c8dfed8573481cef8de8da19f6

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=sha256:287e7fd2e787e722cc74b2122e824b2a5ebe6be534bdf14c03c647d4ece3e527