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Paper Citation Record · LEDGER

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060)

As of 15 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 3 inbound Pith citation observations for arXiv:2505.18508.

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

pith.paper-citation-record.v1
2505.18508 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:34:34.357137Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T19:44:00.781847Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-04T20:10:07.190531Z

Reference resolution

24 of 24 outbound references displayed

  • verified exact3
  • verified fuzzy19
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 904e7aac-f83d-45bc-9a90-7ed8149b9311 · outbound

This paper cites Retrieved April 2025.

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060) Retrieved April 2025

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:34:34.632102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:34:34.266495Z digest=sha256:9261fdb33505b4cc0785551b59dcd9df2f457199c39739e9765600794e8f8179

Observation 84ddfa5d-af6a-44a8-8cb0-84dc9df8df53 · outbound

This paper cites Mixed linear and semidefinite programming for combinatorial and quadratic optimization,.

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060) Mixed linear and semidefinite programming for combinatorial and quadratic optimization,

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:34:34.621821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:34:34.270459Z digest=sha256:87e908b0a2abc890861d6f14bd17c3e6815b38d7689938581ece09525d3e894a

Observation d3ae96f8-c881-411f-97ad-8e93ca52beb1 · outbound

This paper cites Solving Sparse Semidefinite Programs Using the Dual Scaling Algorithm with an Iterative Solver,.

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060) Solving Sparse Semidefinite Programs Using the Dual Scaling Algorithm with an Iterative Solver,

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:34:34.612618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:34:34.275025Z digest=sha256:9e32b4a5dd51efc60d88f0bcbbe0318fe4ad7951e511803897606b19e90d7d63

Observation 2176935c-9d67-4aae-8964-5142700b796d · outbound

This paper cites Spinto: High -performance energy minimization in spin glasses,.

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060) Spinto: High -performance energy minimization in spin glasses,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:34:34.603369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:34:34.279373Z digest=sha256:09f020f7dc9e26726c7cbc24cad3c8325caad811bcd7aa263ce4166a2e6aa2a3

Observation 92508780-7042-46f5-af51-f95497b07a99 · outbound

This paper cites Rank-two relaxation heuristics for MAX CUT and other binary quadratic programs ,.

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060) Rank-two relaxation heuristics for MAX CUT and other binary quadratic programs ,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:34:34.592390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:34:34.283605Z digest=sha256:413e53a0fd74c71b39bdad896110dfd5867d4cb086951f40f3ce9569b9cf5029

Observation c890479c-7f2d-4edf-9b03-ff718a6838bb · outbound

This paper cites Performance of quantum annealing inspired algorithms for combinatorial optimization problems,.

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060) Performance of quantum annealing inspired algorithms for combinatorial optimization problems,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:34:34.581137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:34:34.287207Z digest=sha256:e0f4a77bea5f4ca4217f2621fa2b1a9b35a0aedb540abca4f3bb00359af124cf

Observation 62814a91-5876-4323-af56-295591baa2d0 · outbound

This paper cites Breakout Local Search for the Max -Cut problem,.

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060) Breakout Local Search for the Max -Cut problem,

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:34:34.569997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:34:34.290793Z digest=sha256:189a398caf63c475560a218bf01fe6518ac4bec54868183e2081e7350f554586

Observation ab7d82a8-9dec-4830-a05b-ef9bf17c41aa · outbound

This paper cites Ising machines as hardware solvers of combinatorial optimization problems,.

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060) Ising machines as hardware solvers of combinatorial optimization problems,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:34:34.560579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:34:34.294918Z digest=sha256:71586288e9ddae25062e28553ba0f0a6c1b8b5e317c7c50196bc240506e14078

Observation 2d3aaa2f-46e3-460b-abc8-8fe3be15d183 · outbound

This paper cites High -performance combinatorial optimization based on classical mechanics,.

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060) High -performance combinatorial optimization based on classical mechanics,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:34:34.550533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:34:34.299336Z digest=sha256:0ae0ed0ad9989b517927048f041a0a7d19ad37b47ec5952ac5f4e44d5dedcb27

Observation 58143ec1-28cc-4873-a00f-a1096c232e83 · outbound

This paper cites Improved Sparse Ising Optimization.

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060) Improved Sparse Ising Optimization

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:34:34.435293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:34:34.303405Z digest=sha256:54d235e205c2aa57f131f9f0e479440d33d65ca24b1f3fa48fe0741aff9199c3

Observation 4dc1a265-2079-47cf-a3f7-a572705c3ba4 · outbound

This paper cites McSparse: Exact Solutions of Sparse Maximum Cut and Sparse Unconstrained Binary Quadratic Optimization Problems ,.

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060) McSparse: Exact Solutions of Sparse Maximum Cut and Sparse Unconstrained Binary Quadratic Optimization Problems ,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:34:34.539970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:34:34.307169Z digest=sha256:cb0002c74e8db1b091e6880b9e098850e1f816c7262f4ef2f94c72acec3cb646

Observation 8121ad67-caf4-40a4-bbc5-466d6740d033 · outbound

This paper cites Faster exact solution of sparse MaxCut and QUBO problems ,.

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060) Faster exact solution of sparse MaxCut and QUBO problems ,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:34:34.529706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:34:34.311201Z digest=sha256:aa54fc946de98b03bd79f3acb3b5283a83c9ddf50db70111cc8960304184838c

Observation 79bae63e-8d8f-4ea3-bc1c-3a941edd22ce · outbound

This paper cites Analog Iterative Machine (AIM): using light to solve quadratic optimization problems with mixed variables.

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060) Analog Iterative Machine (AIM): using light to solve quadratic optimization problems with mixed variables

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-07T14:34:34.315153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:34:34.315153Z digest=sha256:c972f0ca87dcf1f14f3f9be9879c8d8964b34e91c45fa20d6260dfcf4a32b506

Observation 7273cc30-3a12-42c4-8c36-95e6f41d38b5 · outbound

This paper cites Team s of Global Equilibrium Search Algorithms for Solving the Weighted Maximum Cut Problem in Parallel,.

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060) Team s of Global Equilibrium Search Algorithms for Solving the Weighted Maximum Cut Problem in Parallel,

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:34:34.520129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:34:34.319898Z digest=sha256:fae51e104e0d44f1a679463474aede52580c7c6be7f946b7e9030a99c8507788

Observation 743bb135-cc98-4cef-8e22-44314dc8958b · outbound

This paper cites On the emerging potential of quantum annealing hardware for combinatorial optimization ,.

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060) On the emerging potential of quantum annealing hardware for combinatorial optimization ,

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:34:34.509914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:34:34.323716Z digest=sha256:e1877efa1479c73e7216e84217a0ed84e4de0455c23d12067bd48a56ffea9311

Observation 9abe6a96-1366-45fd-870d-39acc6fe6890 · outbound

This paper cites Record Acceleration of the Two-Dimensional Ising Model Using High-Performance Wafer Scale Engine.

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060) Record Acceleration of the Two-Dimensional Ising Model Using High-Performance Wafer Scale Engine

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:34:34.414050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:34:34.328673Z digest=sha256:34297abded3cb2af3c76b2f569082a926c22aa02619a96ebf884c9efa667c7d4

Observation 2b880221-0409-4669-aac4-ef3f5530d934 · outbound

This paper cites Efficient Cluster Algorithm for Spin Glasses in Any Space Dimension,.

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060) Efficient Cluster Algorithm for Spin Glasses in Any Space Dimension,

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:34:34.499258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:34:34.332418Z digest=sha256:fb51f3f39b860ce82bb8955fae62bc0abd78efb1d6b07e0ddf3ba7c8b370299a

Observation 689dcb98-b467-4975-8adb-daa520e108b4 · outbound

This paper cites Physics -Inspired Optimization for Quadratic Uncon strained Problems Using a Digital Annealer,.

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060) Physics -Inspired Optimization for Quadratic Uncon strained Problems Using a Digital Annealer,

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:34:34.487258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:34:34.335529Z digest=sha256:ec6e8f68f27e979ef27a6acab7565830319f8f3f8c48b0467556e648d5fc3f54

Observation 7cbeac15-fc7b-4a5c-927f-0eaf38131937 · outbound

This paper cites Scaling Advantage in Approximate Optimization with Quantum Annealing,.

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060) Scaling Advantage in Approximate Optimization with Quantum Annealing,

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:34:34.476578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:34:34.339001Z digest=sha256:f4ba5c5bed5658d4089c1ff0b25139b10ce12368d2465c32d4c9ecc9f9ec3242

Observation 6c2e6c07-4797-4a63-860e-c9c576d284e3 · outbound

This paper cites Direct comparison of stochastic driven nonlinear dynamical systems for combinatorial optimization.

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060) Direct comparison of stochastic driven nonlinear dynamical systems for combinatorial optimization

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-07T14:34:34.342699Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:34:34.342699Z digest=sha256:1f60265572fd5a2c0071289ffe135b81ca044fb1f4108f787d45e5382208fca5

Observation 64047ecc-0b0c-4e81-98e8-75ec2e6bd8be · outbound

This paper cites Scalable Connectivity for Ising Machines: Dense to Sparse.

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060) Scalable Connectivity for Ising Machines: Dense to Sparse

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:34:34.391584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:34:34.347133Z digest=sha256:96360e0d6de13bef8bb6d7a0185eea5d1e505ac905e55d1c949e9f9ebe172ae7

Observation 6a869584-7598-4565-971b-e1c2b0078db5 · outbound

This paper cites Shylo and O.V.

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060) Shylo and O.V

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:34:34.467128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:34:34.350655Z digest=sha256:fae6be72eb8fdbe5445be5b3b0bfe6636770c7dc3d00349cd350353e749a529a

Observation 1f4d9db6-adcc-4932-96c3-5acf4a8d7e77 · outbound

This paper cites A memetic algorithm based on edge- state learning for max-cut,.

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060) A memetic algorithm based on edge- state learning for max-cut,

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:34:34.456732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:34:34.353837Z digest=sha256:526a3460aa56d7782fe85fb12d2dab14ec6b1dabe461e8fdfbb0200821a57e43

Observation 6071282a-56bf-40c5-bdbf-7f77d760161b · outbound

This paper cites A multiple search operator heuristic for the max- k-cut problem,.

Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060) A multiple search operator heuristic for the max- k-cut problem,

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:34:34.446153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:34:34.357137Z digest=sha256:161d5c8d746b5ffdcdbf930423bf86ac2ca4c30e8a326317fe0f4318643ba2e8

Pith citing papers

Observation 12077c7a-85cf-4c71-8a05-cf1ee516a588 · inbound

Edge-of-chaos enhanced quantum-inspired algorithm for combinatorial optimization cites this paper.

Edge-of-chaos enhanced quantum-inspired algorithm for combinatorial optimization Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060)

Reference 70

Resolution
malformed identifier
arxiv_id, observed 2026-05-18T22:06:51.589061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-18T22:05:36.182680Z digest=sha256:27164a4a4ecca647143c9914ca7261d07ac7d68180313005a18b3413befe0449

Observation c0a993f1-345b-40f0-93c8-761717030983 · inbound

Cosm: Collective Switched Motion for Fast and Accurate Sparse Ising Optimization cites this paper.

Cosm: Collective Switched Motion for Fast and Accurate Sparse Ising Optimization Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060)

Reference 36

Resolution
unresolved
no resolver link, observed 2026-07-12T19:44:00.781847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T19:44:00.781847Z digest=sha256:a147ad2fa0bacc7d83275875dbedfc82ab9d73dc0e5d78a6495b70e7762fe9fe

Observation ef7962d5-a408-408a-8fd7-bf7ff1cf79da · inbound

Programmable Probabilistic Computer with 1,000,000 p-bits cites this paper.

Programmable Probabilistic Computer with 1,000,000 p-bits Performance report of heuristic algorithm that cracked the largest Gset Ising problems (G81 cut=14060)

Reference 53

Resolution
verified exact
arxiv_id, observed 2026-07-04T20:10:07.192133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-25T20:44:30.520336Z digest=sha256:567c1d99a57db332bc04ee0ee2636b576d270670f21a53a71ae0a1e1eae34e88