Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T16:55:50.479034Z
Paper Citation Record · LEDGER
Geometric Theory of Ising Machines
As of 11 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2507.12626.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
16 of 16 outbound references displayed
- verified exact6
- verified fuzzy3
- unresolved6
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 19f07bcc-1e4a-4333-b3bb-1a9b0b095a7a · outbound
This paper cites Pseudo-Boolean optimization.
Geometric Theory of Ising Machines Pseudo-Boolean optimization
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T16:55:49.404126Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9a3f44b3-ebc5-4f0c-873f-11704445e3a4 · outbound
This paper cites Analog Coupled Oscillator Based Weighted Ising Machine.
Geometric Theory of Ising Machines Analog Coupled Oscillator Based Weighted Ising Machine
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T16:55:51.742574Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 64cec6d0-0dff-4b5d-a9bc-d1c27dd14ae1 · outbound
This paper cites Linear Separability Of The Vertices Of An n-Dimensional Hypercube.
Geometric Theory of Ising Machines Linear Separability Of The Vertices Of An n-Dimensional Hypercube
Reference 3
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-06T16:55:52.437710Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3cf9f898-8468-45e4-8bc3-223d4489455c · outbound
This paper cites Threshold logic.
Geometric Theory of Ising Machines Threshold logic
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:55:52.280647Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bfe8a379-8308-474b-9b05-b349ce702279 · outbound
This paper cites Solving Boltzmann Optimization Problems with Deep Learning.
Geometric Theory of Ising Machines Solving Boltzmann Optimization Problems with Deep Learning
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T16:55:51.545146Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6eba4671-76fb-424b-9fc1-be643d42a802 · outbound
This paper cites Ising formulations of many NP problems.
Geometric Theory of Ising Machines Ising formulations of many NP problems
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T16:55:49.747250Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 56ea0e5b-7fcf-49d8-bf5a-0545b6040d53 · outbound
This paper cites Design of General Purpose Minimal-Auxiliary Ising Ma- chines.
Geometric Theory of Ising Machines Design of General Purpose Minimal-Auxiliary Ising Ma- chines
Reference 7
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T16:55:51.331994Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation cd4d0325-90d0-4791-a4e5-8baa01b033cc · outbound
This paper cites A fully programmable 100-spin coherent Ising machine with all-to-all connections.
Geometric Theory of Ising Machines A fully programmable 100-spin coherent Ising machine with all-to-all connections
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T16:55:49.922121Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 00d21fba-af6c-4a28-bbb4-5ec23948e679 · outbound
This paper cites Thermodynamic computing system for AI applica- tions.
Geometric Theory of Ising Machines Thermodynamic computing system for AI applica- tions
Reference 9
- Resolution
- verified exact
- doi, observed 2026-08-06T16:55:50.665415Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 67b091c4-03b4-4513-8def-b236980a7371 · outbound
This paper cites Ising machines as hardware solvers of combinatorial optimization problems.
Geometric Theory of Ising Machines Ising machines as hardware solvers of combinatorial optimization problems
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T16:55:50.033673Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 112b2a32-5fb1-485b-b56f-a6e2af1ac279 · outbound
This paper cites Inverse statistical problems: from the inverse Ising problem to data science.
Geometric Theory of Ising Machines Inverse statistical problems: from the inverse Ising problem to data science
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:55:52.096090Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a85b1c96-761f-4659-8d67-6553b5398f25 · outbound
This paper cites Experiments with an oscillator based Ising machine.
Geometric Theory of Ising Machines Experiments with an oscillator based Ising machine
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T16:55:50.990690Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 27825613-7ea1-4f42-bf2b-4eea477ef146 · outbound
This paper cites Designing Unit Ising Models for Logic Gate Simulation through Integer Linear Programming.
Geometric Theory of Ising Machines Designing Unit Ising Models for Logic Gate Simulation through Integer Linear Programming
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T16:55:50.818786Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c70e0f73-b7ef-4b99-981f-1986c4a77582 · outbound
This paper cites Coherent Ising machines—optical neural networks operating at the quantum limit.
Geometric Theory of Ising Machines Coherent Ising machines—optical neural networks operating at the quantum limit
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:55:51.916979Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ce3dda75-a6eb-4340-b72e-610f2ad9e3f3 · outbound
This paper cites 250 Magnetic Tunnel Junctions-Based Probabilistic Ising Machine.
Geometric Theory of Ising Machines 250 Magnetic Tunnel Junctions-Based Probabilistic Ising Machine
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T16:55:50.479034Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 42eeed50-878b-403a-a7f5-b57748f8d81f · outbound
This paper cites url: http://dx.doi.org/10.1080/00018732.2017.
Geometric Theory of Ising Machines url: http://dx.doi.org/10.1080/00018732.2017
Reference 6976
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T16:55:50.153879Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.