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Paper Citation Record · LEDGER

On the Inherent Privacy of Zeroth Order Projected Gradient Descent

As of 19 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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:34:04.226021Z digest=sha256:2f481ea36f759e678839f9db46dde96bcc8e171f4d4303a36ecfb4001a1f5400

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:34:04.336714Z digest=sha256:bdb1be990b05f941572f8640cebb0f9347ed4cb5f7a44101c79e80e77cb0e5a3

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:34:04.408261Z digest=sha256:30ae8e2093f02569ccf549cb7a0144f3eb12cc60492d995d98e271a91dbed180

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:34:04.494720Z digest=sha256:156a362f272cab38f98fbc7d1cb287c24ac14dc5ac19fa5a5ac9dd58faa60d7f

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:34:04.563502Z digest=sha256:21ad84e1846b00031bbb0cf34855babd4c1ed3d48629364c2faa9c5fa1d40117

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:34:04.649219Z digest=sha256:292536ee986b9ee29d77cd1266a43b2faf0a2fde0d0d8bb55a5357656e064585

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:34:04.726310Z digest=sha256:0b4a716ffac5cc215624baf7c735d700807e67ab564c6339f0739a9c73a2d34a

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:34:04.787706Z digest=sha256:683320bf204aecb1838b1a54854d87223ca517e7e6946f7546f4a27492a5d8a3

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:34:04.855871Z digest=sha256:e29f940f11637cca41e987a66b38ae1545d6fc04eab162450a18a1faff008c9b

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:34:04.922943Z digest=sha256:f5f03c9a4f8f55761a2e15dd589339f63390cd9bcbe613d2e0f21aef3123a5a7

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:34:04.997572Z digest=sha256:c47d667d30c0162f9d05ed41498c8c251f5c2c01a54cb3de6fbfe04e60126f51

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:34:04.001665Z digest=sha256:bea8f90a8093f5a8482bf4c8add959cc05a3c6241a3fe21b26cdf63583fdb4e5

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:34:04.091077Z digest=sha256:d9b45c2825a9fe7f0721313abdfceb820a040aeb0a8b7a243c0b9cedd6604841

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:baed755e13a975be3d1921ee9abfed2d70923b70cd6536bc90092b5d0e58f030

Pith citing papers

No inbound Pith citation observations are available.