Paper Citation Record · LEDGER

Robust Control with Gradient Uncertainty

As of 15 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2507.15082.

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

pith.paper-citation-record.v1
2507.15082 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:50:48.431942Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

12 of 12 outbound references displayed

verified exact0
verified fuzzy7
unresolved3
parse uncertain2
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7abc3bc1-e257-4768-ad82-b7dc9c9160aa · outbound

This paper cites an unresolved cited work.

Robust Control with Gradient Uncertainty Unresolved cited work

Reference 1

Resolution: parse uncertain; raw_fallback, observed 2026-08-06T15:50:50.931725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f6a4cca4-c284-42a7-8f73-389d8878fe01 · outbound

This paper cites Furthermore, the matricesX and Y satisfy the crucial inequality: − 1 γ + ∥A∥2 I 0 0 I ! ≤ X 0 0 −Y ! ≤ A + γA2 where A = α I −I −I I !.

Robust Control with Gradient Uncertainty Furthermore, the matricesX and Y satisfy the crucial inequality: − 1 γ + ∥A∥2 I 0 0 I ! ≤ X 0 0 −Y ! ≤ A + γA2 where A = α I −I −I I !

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:50:50.599460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 64dc4f44-3852-4181-8994-5619f8397c98 · outbound

This paper cites an unresolved cited work.

Robust Control with Gradient Uncertainty Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:50:50.290291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c2f4a82f-f99f-48df-b869-451e51841fdc · outbound

This paper cites The trace of a product of a positive definite matrix and a negative semidefinite matrix is non-positive.

Robust Control with Gradient Uncertainty The trace of a product of a positive definite matrix and a negative semidefinite matrix is non-positive

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:50:50.090502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1e6664d6-d891-4b5e-b4c0-268357cae3f4 · outbound

This paper cites By the Cauchy-Schwarz inequality,vT δ ≤ ∥v∥2 ∥δ∥2.

Robust Control with Gradient Uncertainty By the Cauchy-Schwarz inequality,vT δ ≤ ∥v∥2 ∥δ∥2

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:50:49.911246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8aed2a01-1b89-41af-bf8e-ca9dae779837 · outbound

This paper cites This is equivalent to maximizingPn i=1 viδi subject to |δi| ≤ϵ for alli.

Robust Control with Gradient Uncertainty This is equivalent to maximizingPn i=1 viδi subject to |δi| ≤ϵ for alli

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:50:49.763238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 52740dac-66e3-4e1c-b8f6-06af77302cc8 · outbound

This paper cites Since M is positive definite, the constraint set is a compact ellipsoid.

Robust Control with Gradient Uncertainty Since M is positive definite, the constraint set is a compact ellipsoid

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:50:49.584472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 40d4d013-7195-4864-a948-54a8ca8f4837 · outbound

This paper cites an unresolved cited work.

Robust Control with Gradient Uncertainty Unresolved cited work

Reference 8

Resolution: parse uncertain; raw_fallback, observed 2026-08-06T15:50:49.395478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c490ffa0-b9e3-4156-9752-0d3be064bcb9 · outbound

This paper cites an unresolved cited work.

Robust Control with Gradient Uncertainty Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:50:49.170489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d98cd287-721b-41e7-b096-b2680d6b7552 · outbound

This paper cites an unresolved cited work.

Robust Control with Gradient Uncertainty Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:50:49.001116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7aaafb04-57e6-49e0-a91f-659686ac9add · outbound

This paper cites The ϵ2 coefficient is vT 0 v1 ∥v0∥.

Robust Control with Gradient Uncertainty The ϵ2 coefficient is vT 0 v1 ∥v0∥

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:50:48.846529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 908b636a-7843-42e7-af69-c72a444b841a · outbound

This paper cites Thus, we imposed homogeneous Neumann boundary conditions: V ′ 1(−L) = V ′ 1(L) = 0.

Robust Control with Gradient Uncertainty Thus, we imposed homogeneous Neumann boundary conditions: V ′ 1(−L) = V ′ 1(L) = 0

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:50:48.654380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

No inbound Pith citation observations are available.