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Paper Citation Record · LEDGER

The Augmented Mixing Method: Computing High-Accuracy Primal-Dual Solutions to Large-Scale SDPs via Column Updates

As of 18 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2507.20386.

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

pith.paper-citation-record.v1
2507.20386 v2

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:48:01.425425Z

measured 12 of 12 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

12 of 12 outbound references displayed

  • verified exact3
  • verified fuzzy2
  • unresolved6
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a2a13a2e-db8b-49d9-aceb-70f329a0dd81 · outbound

This paper cites Aguirre, Diego Cifuentes, Vincent Guigues, Renato D.

The Augmented Mixing Method: Computing High-Accuracy Primal-Dual Solutions to Large-Scale SDPs via Column Updates Aguirre, Diego Cifuentes, Vincent Guigues, Renato D

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-15T17:48:01.359983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:48:01.359983Z digest=sha256:ec661488a7e1a1dc094fe0e90ae601acda213060eb8debaf0dc45ade4a55ada0

Observation 87648448-f147-4f87-bd2e-5bc29d5cf2fe · outbound

This paper cites Connectivity via convexity: Bounds on the edge expansion in graphs.

The Augmented Mixing Method: Computing High-Accuracy Primal-Dual Solutions to Large-Scale SDPs via Column Updates Connectivity via convexity: Bounds on the edge expansion in graphs

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-15T17:48:01.549073Z

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=2026-08-15T17:48:01.388653Z digest=sha256:8c30a549c9033b915601de0439dc77ee6c5446b308b3ec039b2729fb5a6249c4

Observation 1de4bd84-4b22-407f-9901-276eacde85db · outbound

This paper cites The Mixing method: low-rank coordinate descent for semidefinite programming with diagonal constraints.

The Augmented Mixing Method: Computing High-Accuracy Primal-Dual Solutions to Large-Scale SDPs via Column Updates The Mixing method: low-rank coordinate descent for semidefinite programming with diagonal constraints

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-15T17:48:01.414317Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:48:01.414317Z digest=sha256:987582e4d06b623e1f70e7b80d53036e4a7746c83b4b97ddd45675f7d405b41e

Observation 766e5dda-29ab-41b6-86c7-3970eee36e0f · outbound

This paper cites an unresolved cited work.

The Augmented Mixing Method: Computing High-Accuracy Primal-Dual Solutions to Large-Scale SDPs via Column Updates Unresolved cited work

Reference 2003

Resolution
malformed identifier
raw_fallback, observed 2026-08-15T17:48:01.696807Z

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=2026-08-15T17:48:01.425425Z digest=sha256:2395034482f5c6aadc0d4acbcf72eac203924a09a85f4c8569c5c63c95bc2037

Observation ac19bc3d-7ff3-403e-b49e-9c9933f71844 · outbound

This paper cites Burer-Monteiro ADMM for Large-scale SDPs.

The Augmented Mixing Method: Computing High-Accuracy Primal-Dual Solutions to Large-Scale SDPs via Column Updates Burer-Monteiro ADMM for Large-scale SDPs

Reference 2005

Resolution
verified exact
local_arxiv, observed 2026-08-15T17:48:01.611975Z

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=2026-08-15T17:48:01.365922Z digest=sha256:fb36a05695165d6a9ce7c9c18b1e4bb3c104b1d37a100c0b4123308a04b368b5

Observation 7929484e-f009-4257-8cad-75372406b8aa · outbound

This paper cites an unresolved cited work.

The Augmented Mixing Method: Computing High-Accuracy Primal-Dual Solutions to Large-Scale SDPs via Column Updates Unresolved cited work

Reference 2006

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:48:01.732843Z

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=2026-08-15T17:48:01.408381Z digest=sha256:5af7c03b8706f3e87097c18efa7ff374b55f805419e2f708d3ab99c3cb98ae27

Observation 5959a05e-2e5b-4ad8-a016-e3b0e6d005be · outbound

This paper cites Momentum-inspired Low-Rank Coordinate Descent for Diagonally Constrained SDPs.

The Augmented Mixing Method: Computing High-Accuracy Primal-Dual Solutions to Large-Scale SDPs via Column Updates Momentum-inspired Low-Rank Coordinate Descent for Diagonally Constrained SDPs

Reference 2013

Resolution
verified exact
local_arxiv, observed 2026-08-15T17:48:01.524049Z

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=2026-08-15T17:48:01.395681Z digest=sha256:8c42a1eca3500dab3ff2f6b71e7a8ce05d1e6e2dc21ba429017e5892656f5e6c

Observation d2a60fd2-d489-4fbb-8d29-1beb23414b20 · outbound

This paper cites Optimality and uniqueness of the $D_4$ root system.

The Augmented Mixing Method: Computing High-Accuracy Primal-Dual Solutions to Large-Scale SDPs via Column Updates Optimality and uniqueness of the $D_4$ root system

Reference 2016

Resolution
unresolved
no resolver link, observed 2026-08-15T17:48:01.376990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:48:01.376990Z digest=sha256:572b660c722efe7d5b3d2f2a3dcb5217557b2025491497f95c0fdffe490ced1c

Observation 0fcb1e0b-50ea-4fca-b2b7-75966999770e · outbound

This paper cites [61]Yifei Wang, Kangkang Deng, Haoyang Liu, and Zaiwen Wen.

The Augmented Mixing Method: Computing High-Accuracy Primal-Dual Solutions to Large-Scale SDPs via Column Updates [61]Yifei Wang, Kangkang Deng, Haoyang Liu, and Zaiwen Wen

Reference 2017

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:48:01.715376Z

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=2026-08-15T17:48:01.419934Z digest=sha256:64e465c1a2cae363413ef84522a48080f4893bd5928ad2789385528808b65cde

Observation a9da238f-3cbe-4269-8cb9-7fd237b31306 · outbound

This paper cites A low-rank augmented Lagrangian method for large-scale semidefinite programming based on a hybrid convex-nonconvex approach.

The Augmented Mixing Method: Computing High-Accuracy Primal-Dual Solutions to Large-Scale SDPs via Column Updates A low-rank augmented Lagrangian method for large-scale semidefinite programming based on a hybrid convex-nonconvex approach

Reference 2018

Resolution
unresolved
no resolver link, observed 2026-08-15T17:48:01.401969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:48:01.401969Z digest=sha256:2fed82be02e598be19c1a964a9aca3801843d64fdcf78b499ab7372331cd3c98

Observation d886ac97-6cfc-44a8-bd5b-51344be5b0a7 · outbound

This paper cites On the Turing model complexity of interior point methods for semidefinite programming.SIAM J.

The Augmented Mixing Method: Computing High-Accuracy Primal-Dual Solutions to Large-Scale SDPs via Column Updates On the Turing model complexity of interior point methods for semidefinite programming.SIAM J

Reference 2022

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:48:01.755061Z

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=2026-08-15T17:48:01.371687Z digest=sha256:5a5144320627c5b369952395c7945bc092a5a362bbfc8633cf043ed518c4e818

Observation 666359b1-3794-4b45-b1d3-7d0d05aa4d94 · outbound

This paper cites Accelerating Low-Rank Factorization-Based Semidefinite Programming Algorithms on GPU.

The Augmented Mixing Method: Computing High-Accuracy Primal-Dual Solutions to Large-Scale SDPs via Column Updates Accelerating Low-Rank Factorization-Based Semidefinite Programming Algorithms on GPU

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-15T17:48:01.383068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:48:01.383068Z digest=sha256:ead765503429f3a2bd445c70d84531423925cf40ba0d00e4d342484d939e4ca2

Pith citing papers

No inbound Pith citation observations are available.