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Paper Citation Record · LEDGER

On the Inherent Privacy of Zeroth Order Projected Gradient Descent

As of 18 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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T19:34:04.226021Z digest=sha256:3a7c4b98c1b22ccbf199102c16e5bc0c396bfa3bbb9a1f9058e684c488db6c3a

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T19:34:04.336714Z digest=sha256:f4d7f1c9fc9bb41ed17d310625d480ca5f43b5c44aa5abf4b12966be50d15338

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T19:34:04.408261Z digest=sha256:257cd3993d0756c067758354caa3e033e649bb05222a96d85f829b8107b18352

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T19:34:04.494720Z digest=sha256:51de874fa5c95596fe95883ea553fef068fb7a0c58c076933b677b2fdc6ef4ef

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T19:34:04.563502Z digest=sha256:223352237b60bf5de2fa6100658634e5b9fb36ad6cab48b3e1efa4a520ff908d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T19:34:04.649219Z digest=sha256:129833dd7e578b9adb0d90cee8e270abfc685e11f48c5a98d638c2b7529caa74

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T19:34:04.726310Z digest=sha256:83f31b1d18c1f18801bbc0f964c7e336d166cc300bb786b3159b0b14e6c15e58

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T19:34:04.787706Z digest=sha256:51978e371cdfcd3d7e66d56d7fb450ecf1f847b5d0e13f617cd04910459772b1

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T19:34:04.855871Z digest=sha256:859db29908f188e03c0ea1e386c5d4c773ae2889b11058c26d6b05492b4e9cea

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T19:34:04.922943Z digest=sha256:40b0cd95ac66793a7f74b0a4a108a21784f9b44b5ba67d11d85ccc9b3d084dc6

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T19:34:04.997572Z digest=sha256:dc63dd389f6f5169c04074d994bf79a6726e6587ee231be1d0cbb7270fe0cfc9

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:a4e8fae54cf6efe84aa0dd2f3aef1fa6858e48090384f06152079d36aa6e12d0

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T19:34:04.001665Z digest=sha256:f9d1cfb8542703a58174fa57218acf199f43f5372b5fe4d084ecf24c651c8851

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:e38e84b3f2da02ce5915869b6f604cb6ae9a902e63a099c202a1f4b134d7f8d8

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T19:34:04.091077Z digest=sha256:8236ed5cb9b3583b16676aecea2e24724df15a8d35f4697dcf2b97f446b390f2

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:fe996da94c606b230010261b8218ecc992a51ffd79739b86dc436dbbc7410359

Pith citing papers

No inbound Pith citation observations are available.