Pith. sign in

Paper Citation Record · LEDGER

Contraction Analysis on Primal-Dual Gradient Optimization

As of 16 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:1907.10171.

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

pith.paper-citation-record.v1
1907.10171 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-24T16:56:05.369885Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

30 of 30 outbound references displayed

  • verified exact2
  • verified fuzzy28
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3c6e0428-a4e5-4f62-9a22-3b75dd052abf · outbound

This paper cites EXTRA: An exact first-or der algorithm for decentralized consensus optimization.

Contraction Analysis on Primal-Dual Gradient Optimization EXTRA: An exact first-or der algorithm for decentralized consensus optimization

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.584795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:fc6c4f4b55bc53730ae9dae66ebde4b0dfecd7d2866e9b661380fee287fd7969

Observation edfff6cd-42be-4d37-a7b6-9b83cb11c3d8 · outbound

This paper cites DEXTRA: A fast algorithm for optimiz ation over directed graphs.

Contraction Analysis on Primal-Dual Gradient Optimization DEXTRA: A fast algorithm for optimiz ation over directed graphs

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.536912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:78ac76cc30d60a4ba609f327391c22fc5f0399d91a6a51b8cccbaa384cf92edc

Observation c943baf3-5afb-4eab-bec6-47e99f2688fe · outbound

This paper cites Distributed gradient algorit hm for con- strained optimization with application to load sharing in p ower systems.

Contraction Analysis on Primal-Dual Gradient Optimization Distributed gradient algorit hm for con- strained optimization with application to load sharing in p ower systems

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.561724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:33713472c8e364855d056edc65cee7986bce8155ad70fdf66712a202091324f9

Observation 5b84b7ca-af35-4588-a455-6ceff0c8fbdf · outbound

This paper cites Connecting automatic genera tion control and economic dispatch from an optimization view.

Contraction Analysis on Primal-Dual Gradient Optimization Connecting automatic genera tion control and economic dispatch from an optimization view

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.595764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:09547dd69162a404bb1c146a33f8e942cdb83d0998822931be9225fa2287a158

Observation d228f5dc-83ce-4854-8663-4b8468e24d7e · outbound

This paper cites Incremental majorization-minimization op timization with application to large-scale machine learning.

Contraction Analysis on Primal-Dual Gradient Optimization Incremental majorization-minimization op timization with application to large-scale machine learning

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.540106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:1f274db35ebf677f35a26ace1637d56a4984862b9cc30d45e9753e3d46677831

Observation d65c4334-60b1-4c3b-be0d-d9acf80fcb2e · outbound

This paper cites Distributed convergenc e to Nash equi- libria in two-network zero-sum games.

Contraction Analysis on Primal-Dual Gradient Optimization Distributed convergenc e to Nash equi- libria in two-network zero-sum games

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.558114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:a0c428cc5223219e585614a2446bbaee12d72b22266027510375cb3090a1dbd5

Observation 24fd1937-647b-4da8-92af-9787da23312d · outbound

This paper cites Distributed subgradient meth ods for multi- agent optimization.

Contraction Analysis on Primal-Dual Gradient Optimization Distributed subgradient meth ods for multi- agent optimization

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.600272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:f510c3f7d6f66d83054c27f2d5e46257dc6908e04d64a55f17265797616742e9

Observation 9478eb6b-1c5e-4021-9c58-7c8bc69b1569 · outbound

This paper cites An accelerated dual gradie nt-projection algorithm for embedded linear model predictive control.

Contraction Analysis on Primal-Dual Gradient Optimization An accelerated dual gradie nt-projection algorithm for embedded linear model predictive control

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.553733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:ba30b969ec0c01ac1dfdf3e1d7930a1a239eb4c59132e67e504582dddf983faf

Observation e9adeb7e-c345-4111-be2a-2094676b0ae3 · outbound

This paper cites Fenchel dual gradient methods for distri buted convex optimization over time-varying networks.

Contraction Analysis on Primal-Dual Gradient Optimization Fenchel dual gradient methods for distri buted convex optimization over time-varying networks

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.522448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:0eed9b05afe71aa36ef4f576e488462b9ddc9bba96b56939ea9812835e84f18d

Observation 805c5c57-ffa4-446f-8da6-7a48a5f3f828 · outbound

This paper cites On the linear convergence of the ADMM in decentralized consensus optimiz ation.

Contraction Analysis on Primal-Dual Gradient Optimization On the linear convergence of the ADMM in decentralized consensus optimiz ation

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.578571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:3d3549ea5c1d41853b317669f650dd3b67439a7b90763b1afcbc25d85049bed2

Observation 0c5a00c3-8021-40c3-8b95-553a55c1f817 · outbound

This paper cites Analys is of distributed ADMM algorithm for consensus optimization in presence of no de error.

Contraction Analysis on Primal-Dual Gradient Optimization Analys is of distributed ADMM algorithm for consensus optimization in presence of no de error

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.564927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:615ce5adebd99010c957324680b334897bba3f031294b18cf017753d3835ae81

Observation a64c96c2-d944-425e-b590-5795990fe4eb · outbound

This paper cites Asynchronous m ultiagent primal-dual optimization.

Contraction Analysis on Primal-Dual Gradient Optimization Asynchronous m ultiagent primal-dual optimization

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.598763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:cae53647169872fed9d05d73f4b03cc6cc541b7f384ae1b21c746f43e9f42e72

Observation af90f6f2-59cf-4510-96ab-d8e6eb766deb · outbound

This paper cites Online primal-dual methods with measurement feedback for time-varying convex optimiza- tion.

Contraction Analysis on Primal-Dual Gradient Optimization Online primal-dual methods with measurement feedback for time-varying convex optimiza- tion

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.584235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:6c82dd99c62180d71688e182a3430d4d0fa1a218c511f55303813c0d5b065eb9

Observation ce01f3f4-f54c-4d26-b8c8-e54f13d59234 · outbound

This paper cites Asymptotic c onvergence of constrained primal–dual dynamics.

Contraction Analysis on Primal-Dual Gradient Optimization Asymptotic c onvergence of constrained primal–dual dynamics

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.547253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:edc9dc5136fb8dca59d3f4230fbe574116b06f961e201ca5f24a3cef22e18833

Observation 1b39015e-ca36-4215-88e8-bb226078e9aa · outbound

This paper cites Saddle-p oint dynamics: Conditions for asymptotic stability of saddle points.

Contraction Analysis on Primal-Dual Gradient Optimization Saddle-p oint dynamics: Conditions for asymptotic stability of saddle points

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.592015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:4580010906dc5da765623d58435893d6126966cb22d076886f26099a3a54023b

Observation 4b6a7103-bb7d-4287-8fdd-42ab8459d897 · outbound

This paper cites Stability and robustness for saddle-point dynamics through monotone mappings.

Contraction Analysis on Primal-Dual Gradient Optimization Stability and robustness for saddle-point dynamics through monotone mappings

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.571844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:6e787816c98aaff5afaa0336e37f1394e74c48defc5631a99aa30349658db8d1

Observation 39f85c50-3a2c-4c43-91b7-759186ed70fb · outbound

This paper cites C ontraction and robustness of continuous time primal-dual dynamics.

Contraction Analysis on Primal-Dual Gradient Optimization C ontraction and robustness of continuous time primal-dual dynamics

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.525777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:81afb7412228c430997ca022dacb37ab265bf9fe7effb332148315a2378016bd

Observation 8ddfaf8b-fe5b-49a9-99ed-98f25d897df0 · outbound

This paper cites On the exponential stability of primal- dual gradient dynamics.

Contraction Analysis on Primal-Dual Gradient Optimization On the exponential stability of primal- dual gradient dynamics

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.562835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:b443b8cdd952568b4afbc7d864ec0142b78f3707254c120c690ad4eeeb76969f

Observation 03528d68-ce9e-49e6-8f77-b6846f609a8e · outbound

This paper cites Exponential convergen ce of distributed primal–dual convex optimization algorithm wi thout strong convexity.

Contraction Analysis on Primal-Dual Gradient Optimization Exponential convergen ce of distributed primal–dual convex optimization algorithm wi thout strong convexity

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.559938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:b8091515b5146a803e5b35928348d5c3e78924e4ad85951d7b10906c3a310e37

Observation 68e90b53-dac8-410f-bf74-40af401b8bc6 · outbound

This paper cites On contraction analy sis for non-linear systems.

Contraction Analysis on Primal-Dual Gradient Optimization On contraction analy sis for non-linear systems

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.569667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:d6e241ee4086ba560a073517a3dc840fb8d0433d6c98677cadd5391b120238a0

Observation 315ef7db-3171-4dc8-9173-ee871aaa27b9 · outbound

This paper cites Distribute d nonlinear model predictive control based on contraction theory.

Contraction Analysis on Primal-Dual Gradient Optimization Distribute d nonlinear model predictive control based on contraction theory

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.587216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:f5eebb86288e2476eae75e66852618b397352b68a57b2d70262516c4a3874ad6

Observation b0100f0c-6c72-4a14-9fbf-29ec112c53ce · outbound

This paper cites A contractio n theory approach to stochastic incremental stability.

Contraction Analysis on Primal-Dual Gradient Optimization A contractio n theory approach to stochastic incremental stability

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.532948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:1e53e774821ff010b06997ea5ca2bf09f07474d8f541017c29b75ce300083c41

Observation f9ec519f-845e-4686-8c07-fcedd12e1d91 · outbound

This paper cites A differential Lyapunov fra mework for contraction analysis.

Contraction Analysis on Primal-Dual Gradient Optimization A differential Lyapunov fra mework for contraction analysis

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.605819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:a1676e78b9b84a110bc332e5da01c3f0fc3de539bca6a563408ab823a7c58a8d

Observation db9df57c-8e99-43f9-875a-f05bf6cdb148 · outbound

This paper cites Control Contraction Metrics on Finsler Manifolds.

Contraction Analysis on Primal-Dual Gradient Optimization Control Contraction Metrics on Finsler Manifolds

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-05-24T16:56:16.378677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:c3fc71a16677c081bd658cc8c9685905159ec14c059a9082fc2a30a24fa47c1c

Observation d6a0c2ad-9e2b-49e4-b6eb-5f98a2e4195f · outbound

This paper cites Distributed coord ination for non- smooth convex optimization via saddle-point dynamics.

Contraction Analysis on Primal-Dual Gradient Optimization Distributed coord ination for non- smooth convex optimization via saddle-point dynamics

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.575379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:55c826e8e38ab02e8ba40b6be281e6bb8579eeb5317f42ff5dec0cb2e276c61c

Observation 57f5115a-0aee-4e4e-87a9-f0643a5969f8 · outbound

This paper cites Robust distribu ted model pre- dictive control of constrained dynamically decoupled nonl inear systems: A contraction theory perspective.

Contraction Analysis on Primal-Dual Gradient Optimization Robust distribu ted model pre- dictive control of constrained dynamically decoupled nonl inear systems: A contraction theory perspective

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.602216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:21fd1c46f6451a44b58506b78ff66e4e2be720fc82e597b015da30482a066876

Observation 93b46221-2c30-4c76-b90d-be93916d90f0 · outbound

This paper cites The prox imal augmented Lagrangian method for nonsmooth composite optim ization.

Contraction Analysis on Primal-Dual Gradient Optimization The prox imal augmented Lagrangian method for nonsmooth composite optim ization

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.591751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:eb966acaaaac700d2b8a20360436f2b63de39215529fb9d540fabafec35677a3

Observation 9f5ce7a5-1b14-4541-bcbe-7ac20af2bc80 · outbound

This paper cites Projected primal–dua l gradient flow of augmented Lagrangian with application to distributed ma ximization of the algebraic connectivity of a network.

Contraction Analysis on Primal-Dual Gradient Optimization Projected primal–dua l gradient flow of augmented Lagrangian with application to distributed ma ximization of the algebraic connectivity of a network

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.575782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:342e3f52075352d15a738cedd2db08901b49d8c19b51209f8c2d2200533f9325

Observation f218e67d-be26-4c2a-8fbc-97d9741cc907 · outbound

This paper cites First-order methods for constrained convex programming based on linearized augmented Lagrangian function.

Contraction Analysis on Primal-Dual Gradient Optimization First-order methods for constrained convex programming based on linearized augmented Lagrangian function

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-05-24T16:56:16.378935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:e462e9b766482a7440c4515e2ed6605eba90afdc593a322f866a428f45dc7401

Observation e8499274-0abc-4f9b-85ff-12a792f0dd7e · outbound

This paper cites Stability of primal–dual gr adient dynamics and applications to network optimization.

Contraction Analysis on Primal-Dual Gradient Optimization Stability of primal–dual gr adient dynamics and applications to network optimization

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T16:56:16.550476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T16:56:05.369885Z digest=sha256:747cc725c9d7e5c059a85a980f4b0545e2dd3315ecd46659c68ab7922ed28974

Pith citing papers

No inbound Pith citation observations are available.