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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 10 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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T14:34:34.266495Z digest=sha256:47fe755b7038304b761aeb0fb129cbe8845e1b73a2f6210f00285336f9103396

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T14:34:34.270459Z digest=sha256:3174b7f8a1cd7213c9597d7facb36fc8c6085ba8c077c52cceb83c588cd72317

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T14:34:34.275025Z digest=sha256:f4b99ae4ebacb30e2d0d9c058b7ae557b579792c3e3bbbd0e9c13ccb61c3ec09

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T14:34:34.279373Z digest=sha256:0d03b5ebaf3fe1f7cd59783ed7699ca470b5b98de508ab9fae88773f05246a56

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T14:34:34.283605Z digest=sha256:eaf4b1a539e32436bebabb4744e6726546d9990a879f3b462938b1202d30a90d

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T14:34:34.287207Z digest=sha256:869029adc0e14060bf4dfcfcbd7f25d8236f327ba9d158969b8357690eb6c8e1

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T14:34:34.290793Z digest=sha256:c0f30e4a427acb9177e9baf242247e298e614a2abbb9c688ff289f8fe81e2264

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T14:34:34.294918Z digest=sha256:093ac5b2f4d7c4afb30bd3130ff00b009d1db5255217cb727f571a3c1a74ab00

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T14:34:34.299336Z digest=sha256:fef313c3c9f132a06d06c8c7ca6053ca8f303dc8d3b26a7e1318ac2686cecb4d

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T14:34:34.303405Z digest=sha256:65688e5cf24abad7fa17f2e576d05c687e1f6ffa7356e65415f9ec44e0aa8270

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T14:34:34.307169Z digest=sha256:525a8315b42dddfd5221f2dcd8cac1d08c73fc4f704047b338801eee6419a4a6

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T14:34:34.311201Z digest=sha256:fd7e7c68db7cb7ed5807dffd6381d85a49017068189ff71227fd4acb7c133ceb

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:af32cf224696755b4691e55821f14292d178ab4ec4afe8c95d41919d4ed75d7a

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T14:34:34.319898Z digest=sha256:c2113eb045ebe4acedb8adc8b8e35517cd2ecee18902feea9cc1601476781d2e

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T14:34:34.323716Z digest=sha256:30b0e283e17fafbc4e60ccd2f713b8ad82f3c5dd95d304a88b91943ac07503d3

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T14:34:34.328673Z digest=sha256:cf1bee652fb0f4d2418e91b19a5817af93dde0143617e6ea204dc216341411ee

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T14:34:34.332418Z digest=sha256:821f36b29e55e1405b7e6c1dffee68d5e4e62343a43bcc8b3f823f13a0301815

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T14:34:34.335529Z digest=sha256:23463c66644f86366eb0c52e853656da661c0ccfe1882959d373cf2d7a985394

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T14:34:34.339001Z digest=sha256:b94e660e9c772b94392189ec67f9c658677b1a2124f506fd550cd2c189283d20

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:c3b9760735ee95aabea84be5638d055f4710fa5f36d230c49757928ca594c2d8

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T14:34:34.347133Z digest=sha256:7b47f6537c4de7c867a09060b79cc90497c14045611926feae756116c5f6e020

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T14:34:34.350655Z digest=sha256:470027155559e098e910de4d3d191e36801e51d42146823928b25e6559ac916d

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T14:34:34.353837Z digest=sha256:a2bb1fc5b74823eb8934c024f42ede02d38f36fce305c284f5bef665bfbc88ca

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T14:34:34.357137Z digest=sha256:899645b65efb1fba2589d75bf1ff0a240a2d6df6915565ff8dbd51fef642a061

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-18T22:05:36.182680Z digest=sha256:ea34f75611d633775df77808e1ba487640e4817324f1b08660e5d02306016343

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=sha256:9566564bfb294fdf0de177ab5411123e9de55272605bfaf8ab549404e175b89c

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-25T20:44:30.520336Z digest=sha256:62487ce36af9e1b39742957ff11184e6d082a91f5337cdc628174cddb4d04c5f