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Paper Citation Record · LEDGER

On the Inherent Privacy of Zeroth Order Projected Gradient Descent

As of 7 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2507.05610.

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

pith.paper-citation-record.v1
2507.05610 v2

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:34:04.997572Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+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

16 of 16 outbound references displayed

  • verified exact0
  • verified fuzzy5
  • unresolved8
  • parse uncertain1
  • malformed identifier1
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 64ad317c-d7ea-446b-af11-8b42e91e3d3b · outbound

This paper cites an unresolved cited work.

On the Inherent Privacy of Zeroth Order Projected Gradient Descent Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:34:07.235740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T19:34:04.226021Z digest=sha256:4bec21bd510c8a20f124d6b4fdbd42a953e76c825d91901654527a769eaf37f4

Observation 206c1acd-ca28-4f97-9443-313de5641121 · outbound

This paper cites an unresolved cited work.

On the Inherent Privacy of Zeroth Order Projected Gradient Descent Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:34:07.087119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T19:34:04.336714Z digest=sha256:94dfc05868db68caf95add4f76041419c622e7857ec5d6c66f893146f0b62815

Observation d18cba21-4ba6-4ad7-b9a0-ce4f8091df9b · outbound

This paper cites an unresolved cited work.

On the Inherent Privacy of Zeroth Order Projected Gradient Descent Unresolved cited work

Reference 3

Resolution
parse uncertain
raw_fallback, observed 2026-08-06T19:34:06.909816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T19:34:04.408261Z digest=sha256:f211432a042e117664bc6e69cff84e6d0ef5fd4fedeadef60fe26d42d85771bf

Observation 8da91e5c-17f8-40d1-9531-05e6c2e5735d · outbound

This paper cites Then E PN j=1{Uj}i∗ 2 ≤ CsE hPN j=1{Uj}i∗ i2 Theorem C.2.

On the Inherent Privacy of Zeroth Order Projected Gradient Descent Then E PN j=1{Uj}i∗ 2 ≤ CsE hPN j=1{Uj}i∗ i2 Theorem C.2

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:34:06.750464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T19:34:04.494720Z digest=sha256:c441051ceb751115e7788e13f30ea22f18e137ab017c1ec8a25dd9abcdfd6fce

Observation 69409e09-4e03-4f3d-8990-c72160355053 · outbound

This paper cites Using, the second property of Cs-AC oracle, we have Z = − PT j=1{Uj}i∗ ≥ 0.

On the Inherent Privacy of Zeroth Order Projected Gradient Descent Using, the second property of Cs-AC oracle, we have Z = − PT j=1{Uj}i∗ ≥ 0

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:34:06.585050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T19:34:04.563502Z digest=sha256:83646049a53d94ea49377d0e218f9d184844d1fba9f6f79d3ebcf9354d31ab73

Observation f3083fec-197d-4f5a-8dce-5d0553a0e201 · outbound

This paper cites In the fourth inequality, using the sec- ond property of the Cs-AC oracle, we get − PT j=1{Uj}i∗ ≥ 0, T ≥ 1.

On the Inherent Privacy of Zeroth Order Projected Gradient Descent In the fourth inequality, using the sec- ond property of the Cs-AC oracle, we get − PT j=1{Uj}i∗ ≥ 0, T ≥ 1

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:34:06.463530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T19:34:04.649219Z digest=sha256:0219796667bbf8ae78665458cbc002700b93b489f39b5153f4ffd3e43cc24351

Observation 10c1e1c7-e8fe-41ed-bb23-947d7f7be7b0 · outbound

This paper cites an unresolved cited work.

On the Inherent Privacy of Zeroth Order Projected Gradient Descent Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:34:06.316008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T19:34:04.726310Z digest=sha256:0a16110b6f4863fca4a1714b48718c73c7d1fb10e3a8a63d4a5b09bc03629dd5

Observation 5cf377dc-9cbe-4d4e-96ce-c60aace3db0a · outbound

This paper cites an unresolved cited work.

On the Inherent Privacy of Zeroth Order Projected Gradient Descent Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:34:06.134405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T19:34:04.787706Z digest=sha256:aacd7a939641d373bae17d1399f25b55e2de6f6b543ed03d6de3e06a4133567f

Observation dc19e726-c262-492d-8dce-ce4a0e3b95fb · outbound

This paper cites an unresolved cited work.

On the Inherent Privacy of Zeroth Order Projected Gradient Descent Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:34:05.994854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T19:34:04.855871Z digest=sha256:a8f8ef4f97bf18a9d1f811bfdf11ab6dd757c177180d21c9dbd096d6b78870f0

Observation 1cb4de05-7b53-4ec2-a30a-930c3d3a0130 · outbound

This paper cites an unresolved cited work.

On the Inherent Privacy of Zeroth Order Projected Gradient Descent Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:34:05.843953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T19:34:04.922943Z digest=sha256:e54cb8545bdabeaa54dae7d177bc4580fa7dd59c9e29e034fe5fb747bb32d886

Observation 231dfc4f-4ed9-44c3-aa60-488c9318030d · outbound

This paper cites 1 m mX u=1 S2 u # = Ks Using property 4 of E, we have Ks ≤ CsK 2 f . Thus, substituting the original terms, we have E     1 m NX k=1 mX j=1 {U (f,wk) j }i∗   2  ≤ CsE.

On the Inherent Privacy of Zeroth Order Projected Gradient Descent 1 m mX u=1 S2 u # = Ks Using property 4 of E, we have Ks ≤ CsK 2 f . Thus, substituting the original terms, we have E     1 m NX k=1 mX j=1 {U (f,wk) j }i∗   2  ≤ CsE

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:34:05.693975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T19:34:04.997572Z digest=sha256:2fba99f018bfb22c005dd359788789a13bd694dbfa904e8e3d75b478184c15a1

Observation 9a52db17-ac95-480d-9087-15d57e8ad0cb · outbound

This paper cites Andrew Lowy, Jonathan Ullman, and Stephen Wright.

On the Inherent Privacy of Zeroth Order Projected Gradient Descent Andrew Lowy, Jonathan Ullman, and Stephen Wright

Reference 2014

Resolution
unresolved
no resolver link, observed 2026-08-06T19:34:03.931799Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:34:03.931799Z digest=sha256:2eaab462f5f5cd5ab9c8fa3c362c8a50ce1d51ca83828c3dde25149d60bf5607

Observation f359803d-8072-47ed-adbd-ac1b806aa408 · outbound

This paper cites Pengyun Yue, Long Yang, Cong Fang, and Zhouchen Lin.

On the Inherent Privacy of Zeroth Order Projected Gradient Descent Pengyun Yue, Long Yang, Cong Fang, and Zhouchen Lin

Reference 2015

Resolution
metadata mismatch
raw_fallback, observed 2026-08-06T19:34:05.458976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T19:34:04.001665Z digest=sha256:3f18d247e766f474da00b4862e42b9ae7aa3484854b8c1d3ca68e4f81129a9c9

Observation b994d25b-8049-4b31-8d14-3dc03894156e · outbound

This paper cites Fine-Tuning Large Language Models with User-Level Differential Privacy.

On the Inherent Privacy of Zeroth Order Projected Gradient Descent Fine-Tuning Large Language Models with User-Level Differential Privacy

Reference 2021

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:34:04.156388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:34:04.156388Z digest=sha256:5a39fe0d2aa83934eb30f592a888b9a7393a002f815e4955ee53f0520917b0c3

Observation d024cdca-feff-4a44-8fe4-87310c5e0aca · outbound

This paper cites Janardhan Kulkarni, Yin Tat Lee, and Daogao Liu.

On the Inherent Privacy of Zeroth Order Projected Gradient Descent Janardhan Kulkarni, Yin Tat Lee, and Daogao Liu

Reference 2022

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:34:07.400723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-06T19:34:04.091077Z digest=sha256:bcfca4c086615dc8c52a7ab050bfb8ac7d6973c4cf84b6118aa19ee784ab8789

Observation 291479c2-70a0-4ebe-9968-b50b502ea16c · outbound

This paper cites Zeroth-Order Fine-Tuning of LLMs with Extreme Sparsity.

On the Inherent Privacy of Zeroth Order Projected Gradient Descent Zeroth-Order Fine-Tuning of LLMs with Extreme Sparsity

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-06T19:34:03.868625Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:34:03.868625Z digest=sha256:945068aeee95a54f171551102cd84312d8b430ec6ae7fc5f5259d66419235563

Pith citing papers

No inbound Pith citation observations are available.