Paper Citation Record · LEDGER

A Correlation-Gap Bound for Nonlinear Gaussian PCA

As of 13 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2607.15035.

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

pith.paper-citation-record.v1
2607.15035 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T00:29:05.319575Z

measured 29 of 29 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

29 of 29 outbound references displayed

verified exact5
verified fuzzy0
unresolved19
parse uncertain0
malformed identifier4
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a662d329-fae4-436a-9a43-87e42786cea5 · outbound

This paper cites Proceedings of the IEEE 98, 937–947.

A Correlation-Gap Bound for Nonlinear Gaussian PCA Proceedings of the IEEE 98, 937–947

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T00:29:03.350909Z

Source-reported events for the cited work

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Observation 54e19a08-8857-4460-a14d-f9dd0be4dc2f · outbound

This paper cites Positivity 16, 1–28.

A Correlation-Gap Bound for Nonlinear Gaussian PCA Positivity 16, 1–28

Reference 13

Resolution: verified exact; doi, observed 2026-08-02T00:33:25.841451Z

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.

Observation 517d2e12-840c-449b-b25d-0d036cc8404b · outbound

This paper cites Order statistics of vectors with dependent coordinates, and the Karhunen-Lo\`eve basis.

A Correlation-Gap Bound for Nonlinear Gaussian PCA Order statistics of vectors with dependent coordinates, and the Karhunen-Lo\`eve basis

Reference 21

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Observation f007372b-1b42-46c0-b118-48c8d296511c · outbound

This paper cites A conjecture concerning optimality of the Karhunen-Loeve basis in nonlinear reconstruction.

A Correlation-Gap Bound for Nonlinear Gaussian PCA A conjecture concerning optimality of the Karhunen-Loeve basis in nonlinear reconstruction

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T00:29:04.455835Z

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Observation 9dcbb71b-ccf2-45d2-93eb-878383681f14 · outbound

This paper cites Applied and Computational Harmonic Analysis 26, 301–321.

A Correlation-Gap Bound for Nonlinear Gaussian PCA Applied and Computational Harmonic Analysis 26, 301–321

Reference 27

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Observation 98f6db4f-09b3-43c0-b1fd-d52256e19bf8 · outbound

This paper cites Foundations and Trends in Theoretical Computer Science 10, 1–157.

A Correlation-Gap Bound for Nonlinear Gaussian PCA Foundations and Trends in Theoretical Computer Science 10, 1–157

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T00:29:05.227287Z

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Observation a983ad35-b40b-4ea2-955d-3d75fc6aae94 · outbound

This paper cites an unresolved cited work.

A Correlation-Gap Bound for Nonlinear Gaussian PCA Unresolved cited work

Reference 29

Resolution: malformed identifier; no resolver link, observed 2026-08-02T00:29:05.319575Z

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Unavailable: canonical work link unavailable.

Observation 001c6bba-b058-4123-91d1-27590d23030c · outbound

This paper cites Journal of Educational Psychology 24, 417–441, 498–520.

A Correlation-Gap Bound for Nonlinear Gaussian PCA Journal of Educational Psychology 24, 417–441, 498–520

Reference 1933

Resolution: unresolved; no resolver link, observed 2026-08-02T00:29:03.852166Z

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Observation 48b4e810-0386-4646-8a96-88f59fa0d1dd · outbound

This paper cites Psychome- trika 1, 211–218.

A Correlation-Gap Bound for Nonlinear Gaussian PCA Psychome- trika 1, 211–218

Reference 1936

Resolution: unresolved; no resolver link, observed 2026-08-02T00:29:03.238772Z

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Observation eb7a81a0-3588-470a-8f14-89558f957669 · outbound

This paper cites The Quarterly Journal of Mathematics 11, 50–59.

A Correlation-Gap Bound for Nonlinear Gaussian PCA The Quarterly Journal of Mathematics 11, 50–59

Reference 1960

Resolution: unresolved; no resolver link, observed 2026-08-02T00:29:04.859797Z

Source-reported events for the cited work

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Observation deca00aa-2257-4b1d-b6b9-225cb1156741 · outbound

This paper cites IEEE Transactions on Information Theory 38, 719–746.

A Correlation-Gap Bound for Nonlinear Gaussian PCA IEEE Transactions on Information Theory 38, 719–746

Reference 1992

Resolution: verified exact; doi, observed 2026-08-02T00:33:26.525076Z

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.

Observation 67625b10-0d2e-4fb5-9cfe-ec8eedba1e61 · outbound

This paper cites IEEE Transactions on Signal Processing 41, 3397–3415.

A Correlation-Gap Bound for Nonlinear Gaussian PCA IEEE Transactions on Signal Processing 41, 3397–3415

Reference 1993

Resolution: unresolved; no resolver link, observed 2026-08-02T00:29:04.568089Z

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Observation 152886f9-2b37-452f-b593-1ff19fc7a73f · outbound

This paper cites volume 169 ofGraduate T exts in Mathematics.

A Correlation-Gap Bound for Nonlinear Gaussian PCA volume 169 ofGraduate T exts in Mathematics

Reference 1997

Resolution: unresolved; no resolver link, observed 2026-08-02T00:29:02.236607Z

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Observation 655894dc-eaf5-4345-b77d-972abd8c837f · outbound

This paper cites SIAM Review 43, 129–159.

A Correlation-Gap Bound for Nonlinear Gaussian PCA SIAM Review 43, 129–159

Reference 2001

Resolution: unresolved; no resolver link, observed 2026-08-02T00:29:02.640311Z

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Observation 0b7f2934-d679-47c5-9dde-d746c06b833e · outbound

This paper cites Springer Series in Statistics.

A Correlation-Gap Bound for Nonlinear Gaussian PCA Springer Series in Statistics

Reference 2002

Resolution: unresolved; no resolver link, observed 2026-08-02T00:29:04.000919Z

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Observation adbee7ec-e107-4cca-8892-ef997a7c53e6 · outbound

This paper cites Wiley Series in Probability and Statistics.

A Correlation-Gap Bound for Nonlinear Gaussian PCA Wiley Series in Probability and Statistics

Reference 2003

Resolution: unresolved; no resolver link, observed 2026-08-02T00:29:02.792558Z

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Observation 51ea9905-ab5c-4d0a-895f-5c9c167b8519 · outbound

This paper cites Comptes Rendus Mathématique 340, 445–448.

A Correlation-Gap Bound for Nonlinear Gaussian PCA Comptes Rendus Mathématique 340, 445–448

Reference 2005

Resolution: verified exact; doi, observed 2026-08-02T00:33:26.094008Z

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.

Observation a4f51a5c-0040-4818-aa25-c22a8230b02b · outbound

This paper cites Applied and Computational Harmonic Analysis 27, 265–274.

A Correlation-Gap Bound for Nonlinear Gaussian PCA Applied and Computational Harmonic Analysis 27, 265–274

Reference 2009

Resolution: unresolved; no resolver link, observed 2026-08-02T00:29:02.361590Z

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Observation 2a4ee5ff-f49d-47f3-a65c-a94b5cbe4c96 · outbound

This paper cites Correlation Robust Stochastic Optimization.

A Correlation-Gap Bound for Nonlinear Gaussian PCA Correlation Robust Stochastic Optimization

Reference 2010

Resolution: unresolved; no resolver link, observed 2026-08-02T00:29:02.085440Z

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Observation a35292a0-4544-4e53-b189-eb83dfd73bd0 · outbound

This paper cites SIAM Review 53, 217–288.

A Correlation-Gap Bound for Nonlinear Gaussian PCA SIAM Review 53, 217–288

Reference 2011

Resolution: unresolved; no resolver link, observed 2026-08-02T00:29:03.778904Z

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Observation 040279e1-891c-4d0b-993c-fddb899e8a14 · outbound

This paper cites SIAM Journal on Computing 41, 436–453.

A Correlation-Gap Bound for Nonlinear Gaussian PCA SIAM Journal on Computing 41, 436–453

Reference 2012

Resolution: verified exact; doi, observed 2026-08-02T00:33:26.375980Z

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.

Observation aadde0ec-38c4-412f-9781-d2eea8d66457 · outbound

This paper cites SIAM Journal on Computing 43, 1831–1879.

A Correlation-Gap Bound for Nonlinear Gaussian PCA SIAM Journal on Computing 43, 1831–1879

Reference 2014

Resolution: unresolved; no resolver link, observed 2026-08-02T00:29:02.520186Z

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Observation f7f8a3d7-8e40-4764-930d-d455a3f04a84 · outbound

This paper cites Randomized Block Krylov Methods for Stronger and Faster Approximate Singular Value Decomposition.

A Correlation-Gap Bound for Nonlinear Gaussian PCA Randomized Block Krylov Methods for Stronger and Faster Approximate Singular Value Decomposition

Reference 2015

Resolution: unresolved; no resolver link, observed 2026-08-02T00:29:04.993657Z

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Observation 5cd2fcbe-1159-4130-9901-9b3a748f9644 · outbound

This paper cites (Eds.), Analytic Aspects of Convexity.

A Correlation-Gap Bound for Nonlinear Gaussian PCA (Eds.), Analytic Aspects of Convexity

Reference 2018

Resolution: verified exact; doi, observed 2026-08-02T00:33:25.459507Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 07af1e78-b7d9-4d9f-bf25-b5ce82289ddf · outbound

This paper cites Acta Numerica 29, 403–572.

A Correlation-Gap Bound for Nonlinear Gaussian PCA Acta Numerica 29, 403–572

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-02T00:29:04.743473Z

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Observation a8a65a3d-e347-4f2d-9e58-be4d7f890886 · outbound

This paper cites A Simple Optimal Contention Resolution Scheme for Uniform Matroids.

A Correlation-Gap Bound for Nonlinear Gaussian PCA A Simple Optimal Contention Resolution Scheme for Uniform Matroids

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-02T00:29:04.058929Z

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Observation 94a04554-4dc9-4459-8a96-177f4055541f · outbound

This paper cites Simple and Optimal Online Contention Resolution Schemes for $k$-Uniform Matroids.

A Correlation-Gap Bound for Nonlinear Gaussian PCA Simple and Optimal Online Contention Resolution Schemes for $k$-Uniform Matroids

Reference 2024

Resolution: malformed identifier; no resolver link, observed 2026-08-02T00:29:03.118090Z

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Observation cc44ce3f-84c9-47ce-b436-e3e1da94c3b7 · outbound

This paper cites On the Correlation Gap of Matroids.

A Correlation-Gap Bound for Nonlinear Gaussian PCA On the Correlation Gap of Matroids

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-02T00:29:03.928113Z

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Observation 1f5507a2-4009-451a-aaaf-c0c5a5e37b72 · outbound

This paper cites A revision of Litvak's conjecture on Gaussian minima and a volumetric zone conjecture.

A Correlation-Gap Bound for Nonlinear Gaussian PCA A revision of Litvak's conjecture on Gaussian minima and a volumetric zone conjecture

Reference 2026

Resolution: metadata mismatch; local_arxiv, observed 2026-08-02T00:33:25.615656Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

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