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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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:34:04.226021Z digest=sha256:9b899a4e6b194794ac13dd2db3e96156fb5fadf04bd12028b7fa93e707fd52ce

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:34:04.336714Z digest=sha256:b18a906c2f5972c18609c95493931a9ae48d382c9204df35158ee81b106131cb

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:34:04.408261Z digest=sha256:64f8fd1ebeaf6bbfba34b9581dc53d59e35f88fa90e414b409a09b61300f4bd0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:34:04.494720Z digest=sha256:6737519f2d17050099c2cfd753fbec511fc4e560e152b4010fa27d767fa8cd60

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:34:04.563502Z digest=sha256:ed4fa115938b2a2b11466251c7711da9a129f150547bfecf296a27351469292c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:34:04.649219Z digest=sha256:d647d93eb70aaaa8a8ddac728126f524c300cfc376e7679cf0ed978e64425a01

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:34:04.726310Z digest=sha256:712852af694705570bbd41c196a7078c773115defc300d4064c0607d962e2004

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:34:04.787706Z digest=sha256:1c42edcb9709ca156b05286c5d49dd2af2028fcee69cc94349f30f8496631aa8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:34:04.855871Z digest=sha256:936a707eab0e230fc43def0ea6109c877c3d090eab986b7aa2eb1735633ffbf0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:34:04.922943Z digest=sha256:89dbebb643a9e0000ddc52cbd8f6ac65bb0e3b8f04531b5fd0132f82055b2015

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:34:04.997572Z digest=sha256:aefbc9a67914a4c6a1e45a7dad28c79e03eefc6736740e0c9e418fde699c3add

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:34:04.001665Z digest=sha256:f4faab3e9173df227a13b5ac969362a3c40e9267cca245b2a9fddb9c80531a16

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:34:04.091077Z digest=sha256:9ee36f6598b61fae9a2eee74819700a9b8e1ae649040db98f6eba4533c553a68

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.