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Paper Citation Record · LEDGER

The Gaussian Mixing Mechanism: Renyi Differential Privacy via Gaussian Sketches

As of 20 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2505.24603.

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

pith.paper-citation-record.v1
2505.24603 v2

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:31:57.698155Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-09T16:02:19.749100Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

18 of 18 outbound references displayed

  • verified exact0
  • verified fuzzy13
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 0d471baf-75ef-4463-9335-e6227959fc51 · outbound

This paper cites (5) For an invertible matrix A, we have [Brookes, 2020, Section.

The Gaussian Mixing Mechanism: Renyi Differential Privacy via Gaussian Sketches (5) For an invertible matrix A, we have [Brookes, 2020, Section

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:31:59.187523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:31:57.014477Z digest=sha256:5e7b70ba864ec8627b2d1ce80e2271227802b7d3f9dcc19122bccf2357a33012

Observation aa0417dd-a2e7-4a6b-8cc5-f2ac7e099564 · outbound

This paper cites Our second baseline, from Sheffet [2017, Algorithm 1], was implemented according to the description in Appendix H.2.

The Gaussian Mixing Mechanism: Renyi Differential Privacy via Gaussian Sketches Our second baseline, from Sheffet [2017, Algorithm 1], was implemented according to the description in Appendix H.2

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:31:58.514120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:31:57.457109Z digest=sha256:5197d8124887b75edbfaa264b0d73284007eccb365e2f8ceb094f3857014094f

Observation 734a4c28-4f1b-4778-abab-a328c21d8c5d · outbound

This paper cites 1, Sheffet '17]: k d = 2.500 ADASSP [Wang '18] [Alg.

The Gaussian Mixing Mechanism: Renyi Differential Privacy via Gaussian Sketches 1, Sheffet '17]: k d = 2.500 ADASSP [Wang '18] [Alg

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:31:58.114719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:31:57.698155Z digest=sha256:bb01aaf4762ae4ba71e5dbd4679ebcb50a3d4830d1eeba8c63271ed20ad3fd96

Observation f1c2e91e-c0d0-4faa-8561-4fc6b37984ad · outbound

This paper cites an unresolved cited work.

The Gaussian Mixing Mechanism: Renyi Differential Privacy via Gaussian Sketches Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:31:59.353603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:31:56.914296Z digest=sha256:24f3dafc671504015c33040200090dde71b8c37e66f49057261054526f7c6cda

Observation 01153b25-38a5-4d03-a0b9-99af0166c681 · outbound

This paper cites We define the discriminant to be ∆H = 1 + 2γ + γ2 log 1 − 1 γ 2 − 8γ 1 + γ + γ2 log 1 − 1 γ which is non-negative.

The Gaussian Mixing Mechanism: Renyi Differential Privacy via Gaussian Sketches We define the discriminant to be ∆H = 1 + 2γ + γ2 log 1 − 1 γ 2 − 8γ 1 + γ + γ2 log 1 − 1 γ which is non-negative

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:31:59.059272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:31:57.084978Z digest=sha256:d4f7057d879632c166d3ab4b0e69ef8b6db243b9841c39be08c90b6daeed22ba

Observation 76ec1e86-c8d8-4766-90fa-a9e607b1cb8c · outbound

This paper cites The first case (when γ ≤ τ ) trivially satisfies this.

The Gaussian Mixing Mechanism: Renyi Differential Privacy via Gaussian Sketches The first case (when γ ≤ τ ) trivially satisfies this

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:31:58.866486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:31:57.155546Z digest=sha256:71abcf4fe0b813957587bc60942030422f1ec6a4fd237852c16009e74db20116

Observation 098f79fd-9113-49ed-b9fb-3d3430538d1b · outbound

This paper cites H Algorithms: Linear Regression H.1 AdaSSP Algorithm 3 AdaSSP [Wang, 2018] Input: Dataset (X, Y); Privacy parameters ε, δ; Bounds: max i∈[n] ∥xi∥2 ≤ C2 X , max i∈[n] |yi|2 ≤ C2 Y.

The Gaussian Mixing Mechanism: Renyi Differential Privacy via Gaussian Sketches H Algorithms: Linear Regression H.1 AdaSSP Algorithm 3 AdaSSP [Wang, 2018] Input: Dataset (X, Y); Privacy parameters ε, δ; Bounds: max i∈[n] ∥xi∥2 ≤ C2 X , max i∈[n] |yi|2 ≤ C2 Y

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:31:58.747142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:31:57.273530Z digest=sha256:666ede5ccdc5388d12365c543e5eb9a98faad84dffa42fad9ab5f4b3e16773a7

Observation 047cfbc4-6e81-4aa8-b0bf-e421a056c134 · outbound

This paper cites 1: Compute λmin := λmin((X, Y)⊤(X, Y)).

The Gaussian Mixing Mechanism: Renyi Differential Privacy via Gaussian Sketches 1: Compute λmin := λmin((X, Y)⊤(X, Y))

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:31:58.672901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:31:57.367675Z digest=sha256:2148f16b1698b25cd65860f36a8c1f90d8fa76db633b552b36d41a4c8146ddc8

Observation b879662d-2343-41e1-bc28-aef2b1ef8a87 · outbound

This paper cites The train and test loaders were generated using torch.utils.data.DataLoader with shuffling enabled.

The Gaussian Mixing Mechanism: Renyi Differential Privacy via Gaussian Sketches The train and test loaders were generated using torch.utils.data.DataLoader with shuffling enabled

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:31:58.394176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:31:57.557315Z digest=sha256:75d2cba4c60bb883d9a026df5480cb92fbc54915d1bc1b5ea0b53891dfb69cf1

Observation dda57975-7027-48d7-aed0-089dde8aaaa5 · outbound

This paper cites Runtime comparisons show the ratio of execution times for the largest simulated ε.

The Gaussian Mixing Mechanism: Renyi Differential Privacy via Gaussian Sketches Runtime comparisons show the ratio of execution times for the largest simulated ε

Reference 500

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:31:58.282853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:31:57.611960Z digest=sha256:7b6db2a855b0df48e544332aa530fa48032d121916a1b046d503b30c0a3f0531

Observation 206ff287-f1af-41ae-9f71-2a3bd60e640c · outbound

This paper cites Improved approximation algorithms for large matrices via random projections.

The Gaussian Mixing Mechanism: Renyi Differential Privacy via Gaussian Sketches Improved approximation algorithms for large matrices via random projections

Reference 1961

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:31:59.610056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:31:56.343762Z digest=sha256:7271c69340dc832150c80923f7f8bae2d92e4571f4bbac6281dba6f9851adc48

Observation 18eaef21-b582-429c-bc96-185300c1478f · outbound

This paper cites Private Approximations of the 2nd-Moment Matrix Using Existing Techniques in Linear Regression.

The Gaussian Mixing Mechanism: Renyi Differential Privacy via Gaussian Sketches Private Approximations of the 2nd-Moment Matrix Using Existing Techniques in Linear Regression

Reference 2006

Resolution
unresolved
no resolver link, observed 2026-08-07T12:31:56.571254Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:31:56.571254Z digest=sha256:a64e3cfb3f7a1920211c34b63d092a8430b6068a9904e73cd9f7d406c7f0cb16

Observation b2d81ec5-8e9d-4036-bfe9-4a0c9089839c · outbound

This paper cites edu/~kriz/learning-features-2009-TR.pdf.

The Gaussian Mixing Mechanism: Renyi Differential Privacy via Gaussian Sketches edu/~kriz/learning-features-2009-TR.pdf

Reference 2009

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:31:59.718160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:31:56.257263Z digest=sha256:a9139b08d3bcbbb51d7401e447cfdc1d0e5ac88b40a42d39aae1ef9357b78208

Observation ca16415d-1375-40b5-8f97-5f153adf7dfa · outbound

This paper cites Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms.

The Gaussian Mixing Mechanism: Renyi Differential Privacy via Gaussian Sketches Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms

Reference 2014

Resolution
unresolved
no resolver link, observed 2026-08-07T12:31:56.747036Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:31:56.747036Z digest=sha256:8d52cf623c07f443c321113118bdb58c5b594c0e69e2eb48920ca8ba2e602cc2

Observation 8a782b08-c043-4001-a549-aa508a3e5f12 · outbound

This paper cites Opacus: User-Friendly Differential Privacy Library in PyTorch.

The Gaussian Mixing Mechanism: Renyi Differential Privacy via Gaussian Sketches Opacus: User-Friendly Differential Privacy Library in PyTorch

Reference 2017

Resolution
unresolved
no resolver link, observed 2026-08-07T12:31:56.839268Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:31:56.839268Z digest=sha256:9f0cdd1c959c25cae873db765f8509286d144626aa6e8085c13564d542556271

Observation 4a5d52e0-188e-418d-9a3e-135870c17f81 · outbound

This paper cites A History of Census Privacy Protections.

The Gaussian Mixing Mechanism: Renyi Differential Privacy via Gaussian Sketches A History of Census Privacy Protections

Reference 2018

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:31:59.821538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:31:56.096909Z digest=sha256:a95fc2962ec5a09c4ae4a16aac434ef0c6c2d78c81221025c026963667b68ea7

Observation 0bf8d54e-483c-48f4-9483-3ee7ab31b65a · outbound

This paper cites Private Regression via Data-Dependent Sufficient Statistic Perturbation.

The Gaussian Mixing Mechanism: Renyi Differential Privacy via Gaussian Sketches Private Regression via Data-Dependent Sufficient Statistic Perturbation

Reference 2020

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T12:31:57.979546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:31:56.163962Z digest=sha256:b94b19a17b7342095ed62e2e2cd856c109c7298974d42bcb97b7050329936906

Observation bac6eb0c-13f5-44d5-8ded-60858f493e67 · outbound

This paper cites Yuchang Sun, Jiawei Shao, Songze Li, Yuyi Mao, and Jun Zhang.

The Gaussian Mixing Mechanism: Renyi Differential Privacy via Gaussian Sketches Yuchang Sun, Jiawei Shao, Songze Li, Yuyi Mao, and Jun Zhang

Reference 2022

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:31:59.457278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T12:31:56.653847Z digest=sha256:b6e7bac6a4739a00766a384cc21796c5f1fc0a917801d514297d74ed873725b5

Pith citing papers

Observation c0c7d6b5-cd30-40f3-9191-9c775c7045fa · inbound

Quadratic Objective Perturbation: Curvature-Based Differential Privacy cites this paper.

Quadratic Objective Perturbation: Curvature-Based Differential Privacy The Gaussian Mixing Mechanism: Renyi Differential Privacy via Gaussian Sketches

Reference 34

Resolution
verified exact
arxiv_id, observed 2026-05-09T21:58:47.171884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-09T16:02:19.749100Z digest=sha256:6e3175d6935303ff291f7df76c53582837606f6c5d162e1d475202fcf638bace